t designs with small t, id ge 12400

---

# 12400: 5-(32,10,24012)

• clan: 9-(36,12,870), 2 times derived, 2 times residual
• residual design of 6-(33,10,5220) (# 12397)

---

# 12401: 5-(33,10,69048)

• clan: 9-(36,12,2055), 1 times reduced t, 2 times derived, 1 times residual
• supplementary design of 6-(33,10,5220) (# 12397) with respect to smaller t
• Tran van Trung construction (right) for 5-(32,9,12330) (# 12402) : der= 5-(32,9,12330) and res= 5-(32,10,56718) - the given design is the derived.
• Tran van Trung construction (left) for 5-(32,10,56718) (# 12403) : der= 5-(32,9,12330) and res= 5-(32,10,56718) - the given design is the residual.

---

# 12402: 5-(32,9,12330)

• clan: 9-(36,12,2055), 3 times derived, 1 times residual
• derived from supplementary of 6-(33,10,5220) (# 12397)

---

# 12403: 5-(32,10,56718)

• clan: 9-(36,12,2055), 2 times derived, 2 times residual
• residual design of supplementary of 6-(33,10,5220) (# 12397)

---

# 12404: 5-(33,9,6090)

• clan: 9-(36,12,870), 1 times reduced t, 3 times derived
• Tran van Trung construction (left) for 5-(32,9,5220) (# 12399) : der= 5-(32,8,870) and res= 5-(32,9,5220) - the given design is the residual.

---

# 12405: 5-(34,10,35322)

• clan: 9-(36,12,870), 2 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(33,9,6090) (# 12404) : der= 5-(33,9,6090) and res= 5-(33,10,29232) - the given design is the derived.

---

# 12406: 6-(33,10,5850)

• clan: 25-(52,26,9), 16 times derived, 3 times residual
• $P\Gamma L(2,32)$ $LS[3](6,10,33)$

---

# 12407: 5-(33,10,32760)

• clan: 25-(52,26,9), 1 times reduced t, 16 times derived, 3 times residual
• design 6-(33,10,5850) (# 12406) with respect to smaller t
• Tran van Trung construction (right) for 5-(32,9,5850) (# 12408) : der= 5-(32,9,5850) and res= 5-(32,10,26910) - the given design is the derived.
• Tran van Trung construction (left) for 5-(32,10,26910) (# 12409) : der= 5-(32,9,5850) and res= 5-(32,10,26910) - the given design is the residual.

---

# 12408: 5-(32,9,5850)

• clan: 25-(52,26,9), 17 times derived, 3 times residual
• derived from 6-(33,10,5850) (# 12406)

---

# 12409: 5-(32,10,26910)

• clan: 25-(52,26,9), 16 times derived, 4 times residual
• residual design of 6-(33,10,5850) (# 12406)

---

# 12410: 5-(33,10,65520)

• clan: 25-(52,26,18), 1 times reduced t, 16 times derived, 3 times residual
• supplementary design of 6-(33,10,5850) (# 12406) with respect to smaller t
• Tran van Trung construction (right) for 5-(32,9,11700) (# 12411) : der= 5-(32,9,11700) and res= 5-(32,10,53820) - the given design is the derived.
• Tran van Trung construction (left) for 5-(32,10,53820) (# 12412) : der= 5-(32,9,11700) and res= 5-(32,10,53820) - the given design is the residual.

---

# 12411: 5-(32,9,11700)

• clan: 25-(52,26,18), 17 times derived, 3 times residual
• derived from supplementary of 6-(33,10,5850) (# 12406)

---

# 12412: 5-(32,10,53820)

• clan: 25-(52,26,18), 16 times derived, 4 times residual
• residual design of supplementary of 6-(33,10,5850) (# 12406)

---

# 12413: 5-(33,9,6825)

• clan: 25-(52,26,9), 1 times reduced t, 17 times derived, 2 times residual
• Tran van Trung construction (left) for 5-(32,9,5850) (# 12408) : der= 5-(32,8,975) and res= 5-(32,9,5850) - the given design is the residual.

---

# 12414: 5-(34,10,39585)

• clan: 25-(52,26,9), 2 times reduced t, 16 times derived, 2 times residual
• Tran van Trung construction (right) for 5-(33,9,6825) (# 12413) : der= 5-(33,9,6825) and res= 5-(33,10,32760) - the given design is the derived.

---

# 12415: 6-(33,8,36)

• clan: 10-(37,12,36), 4 times derived
• $P\Gamma L(2,32)$ (1179 isom. types) \cite{MagliverasLeavitt84}, \cite{Schmalz93}

---

# 12416: 5-(33,8,2940)

• clan: 10-(37,12,315), 1 times reduced t, 4 times derived
• supplementary design of 6-(33,8,36) (# 12415) with respect to smaller t
• Tran van Trung construction (right) for 5-(32,7,315) (# 12417) : der= 5-(32,7,315) and res= 5-(32,8,2625) - the given design is the derived.
• Tran van Trung construction (left) for 5-(32,8,2625) (# 12418) : der= 5-(32,7,315) and res= 5-(32,8,2625) - the given design is the residual.
• derived from supplementary of 6-(34,9,336) (# 12562)

---

# 12417: 5-(32,7,315)

• clan: 10-(37,12,315), 5 times derived
• derived from supplementary of 6-(33,8,36) (# 12415)

---

# 12418: 5-(32,8,2625)

• clan: 10-(37,12,315), 4 times derived, 1 times residual
• residual design of supplementary of 6-(33,8,36) (# 12415)
• derived from supplementary of 6-(33,9,300) (# 12557)

---

# 12419: 6-(33,9,1005)

• clan: 9-(36,12,1005), 3 times derived
• $P\Gamma L(2,32)$
• derived from 7-(34,10,1005) (# 16453)

---

# 12420: 5-(33,9,7035)

• clan: 9-(36,12,1005), 1 times reduced t, 3 times derived
• design 6-(33,9,1005) (# 12419) with respect to smaller t
• Tran van Trung construction (left) for 5-(32,9,6030) (# 12421) : der= 5-(32,8,1005) and res= 5-(32,9,6030) - the given design is the residual.
• derived from 6-(34,10,7035) (# 16454)
• derived from supplementary of 6-(34,10,13440) (# 16456)
• supplementary design of 6-(33,9,1920) (# 16457) with respect to smaller t

---

# 12421: 5-(32,9,6030)

• clan: 9-(36,12,1005), 3 times derived, 1 times residual
• residual design of 6-(33,9,1005) (# 12419)
• derived from 6-(33,10,6030) (# 16455)
• residual design of supplementary of 6-(33,9,1920) (# 16457)
• derived from supplementary of 6-(33,10,11520) (# 16458)

---

# 12422: 5-(33,9,13440)

• clan: 9-(36,12,1920), 1 times reduced t, 3 times derived
• supplementary design of 6-(33,9,1005) (# 12419) with respect to smaller t
• Tran van Trung construction (right) for 5-(32,8,1920) (# 12423) : der= 5-(32,8,1920) and res= 5-(32,9,11520) - the given design is the derived.
• Tran van Trung construction (left) for 5-(32,9,11520) (# 12424) : der= 5-(32,8,1920) and res= 5-(32,9,11520) - the given design is the residual.
• derived from supplementary of 6-(34,10,7035) (# 16454)
• derived from 6-(34,10,13440) (# 16456)
• design 6-(33,9,1920) (# 16457) with respect to smaller t

---

# 12423: 5-(32,8,1920)

• clan: 9-(36,12,1920), 4 times derived
• derived from supplementary of 6-(33,9,1005) (# 12419)
• derived from 6-(33,9,1920) (# 16457)

---

# 12424: 5-(32,9,11520)

• clan: 9-(36,12,1920), 3 times derived, 1 times residual
• residual design of supplementary of 6-(33,9,1005) (# 12419)
• derived from supplementary of 6-(33,10,6030) (# 16455)
• residual design of 6-(33,9,1920) (# 16457)
• derived from 6-(33,10,11520) (# 16458)

---

# 12425: 6-(33,9,1020)

• clan: 9-(36,12,1020), 3 times derived
• $P\Gamma L(2,32)$
• derived from 7-(34,10,1020) (# 16465)

---

# 12426: 5-(33,9,7140)

• clan: 9-(36,12,1020), 1 times reduced t, 3 times derived
• design 6-(33,9,1020) (# 12425) with respect to smaller t
• Tran van Trung construction (left) for 5-(32,9,6120) (# 12427) : der= 5-(32,8,1020) and res= 5-(32,9,6120) - the given design is the residual.
• derived from 6-(34,10,7140) (# 16466)
• derived from supplementary of 6-(34,10,13335) (# 16468)
• supplementary design of 6-(33,9,1905) (# 16469) with respect to smaller t

---

# 12427: 5-(32,9,6120)

• clan: 9-(36,12,1020), 3 times derived, 1 times residual
• residual design of 6-(33,9,1020) (# 12425)
• derived from 6-(33,10,6120) (# 16467)
• residual design of supplementary of 6-(33,9,1905) (# 16469)
• derived from supplementary of 6-(33,10,11430) (# 16470)

---

# 12428: 5-(33,9,13335)

• clan: 9-(36,12,1905), 1 times reduced t, 3 times derived
• supplementary design of 6-(33,9,1020) (# 12425) with respect to smaller t
• Tran van Trung construction (right) for 5-(32,8,1905) (# 12429) : der= 5-(32,8,1905) and res= 5-(32,9,11430) - the given design is the derived.
• Tran van Trung construction (left) for 5-(32,9,11430) (# 12430) : der= 5-(32,8,1905) and res= 5-(32,9,11430) - the given design is the residual.
• derived from supplementary of 6-(34,10,7140) (# 16466)
• derived from 6-(34,10,13335) (# 16468)
• design 6-(33,9,1905) (# 16469) with respect to smaller t

---

# 12429: 5-(32,8,1905)

• clan: 9-(36,12,1905), 4 times derived
• derived from supplementary of 6-(33,9,1020) (# 12425)
• derived from 6-(33,9,1905) (# 16469)

---

# 12430: 5-(32,9,11430)

• clan: 9-(36,12,1905), 3 times derived, 1 times residual
• residual design of supplementary of 6-(33,9,1020) (# 12425)
• derived from supplementary of 6-(33,10,6120) (# 16467)
• residual design of 6-(33,9,1905) (# 16469)
• derived from 6-(33,10,11430) (# 16470)

---

# 12431: 6-(33,9,105)

• clan: 9-(36,12,105), 3 times derived
• $P\Gamma L(2,32)$

---

# 12432: 5-(33,9,735)

• clan: 9-(36,12,105), 1 times reduced t, 3 times derived
• design 6-(33,9,105) (# 12431) with respect to smaller t
• Tran van Trung construction (left) for 5-(32,9,630) (# 12433) : der= 5-(32,8,105) and res= 5-(32,9,630) - the given design is the residual.
• derived from 6-(34,10,735) (# 12691)

---

# 12433: 5-(32,9,630)

• clan: 9-(36,12,105), 3 times derived, 1 times residual
• residual design of 6-(33,9,105) (# 12431)

---

# 12434: 5-(33,9,19740)

• clan: 9-(36,12,2820), 1 times reduced t, 3 times derived
• supplementary design of 6-(33,9,105) (# 12431) with respect to smaller t
• Tran van Trung construction (right) for 5-(32,8,2820) (# 12435) : der= 5-(32,8,2820) and res= 5-(32,9,16920) - the given design is the derived.
• Tran van Trung construction (left) for 5-(32,9,16920) (# 12436) : der= 5-(32,8,2820) and res= 5-(32,9,16920) - the given design is the residual.
• derived from supplementary of 6-(34,10,735) (# 12691)

---

# 12435: 5-(32,8,2820)

• clan: 9-(36,12,2820), 4 times derived
• derived from supplementary of 6-(33,9,105) (# 12431)

---

# 12436: 5-(32,9,16920)

• clan: 9-(36,12,2820), 3 times derived, 1 times residual
• residual design of supplementary of 6-(33,9,105) (# 12431)

---

# 12437: 6-(33,9,1080)

• clan: 10-(36,12,120), 1 times reduced t, 3 times derived
• $P\Gamma L(2,32)$
• design 7-(33,9,120) (# 16227) with respect to smaller t
• Tran van Trung construction (right) for 6-(32,8,120) (# 16228) : der= 6-(32,8,120) and res= 6-(32,9,960) - the given design is the derived.
• Tran van Trung construction (left) for 6-(32,9,960) (# 16229) : der= 6-(32,8,120) and res= 6-(32,9,960) - the given design is the residual.
• derived from 7-(34,10,1080) (# 16495)

---

# 12438: 5-(33,9,7560)

• clan: 10-(36,12,120), 2 times reduced t, 3 times derived
• design 6-(33,9,1080) (# 12437) with respect to smaller t
• Tran van Trung construction (left) for 5-(32,9,6480) (# 12439) : der= 5-(32,8,1080) and res= 5-(32,9,6480) - the given design is the residual.
• derived from 6-(34,10,7560) (# 12827)
• supplementary design of 6-(33,9,1845) (# 16230) with respect to smaller t
• derived from supplementary of 6-(34,10,12915) (# 16497)

---

# 12439: 5-(32,9,6480)

• clan: 10-(36,12,120), 1 times reduced t, 3 times derived, 1 times residual
• residual design of 6-(33,9,1080) (# 12437)
• design 6-(32,9,960) (# 16229) with respect to smaller t
• residual design of supplementary of 6-(33,9,1845) (# 16230)
• supplementary design of 6-(32,9,1640) (# 16232) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,8,960) (# 16234) : der= 5-(31,8,960) and res= 5-(31,9,5520) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,9,5520) (# 16237) : der= 5-(31,8,960) and res= 5-(31,9,5520) - the given design is the residual.
• derived from 6-(33,10,6480) (# 16496)
• derived from supplementary of 6-(33,10,11070) (# 16498)

---

# 12440: 5-(33,9,12915)

• clan: 10-(36,12,205), 2 times reduced t, 3 times derived
• supplementary design of 6-(33,9,1080) (# 12437) with respect to smaller t
• Tran van Trung construction (right) for 5-(32,8,1845) (# 12441) : der= 5-(32,8,1845) and res= 5-(32,9,11070) - the given design is the derived.
• Tran van Trung construction (left) for 5-(32,9,11070) (# 12442) : der= 5-(32,8,1845) and res= 5-(32,9,11070) - the given design is the residual.
• derived from supplementary of 6-(34,10,7560) (# 12827)
• design 6-(33,9,1845) (# 16230) with respect to smaller t
• derived from 6-(34,10,12915) (# 16497)

---

# 12441: 5-(32,8,1845)

• clan: 10-(36,12,205), 1 times reduced t, 4 times derived
• derived from supplementary of 6-(33,9,1080) (# 12437)
• supplementary design of 6-(32,8,120) (# 16228) with respect to smaller t
• derived from 6-(33,9,1845) (# 16230)
• design 6-(32,8,205) (# 16231) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,7,205) (# 16235) : der= 5-(31,7,205) and res= 5-(31,8,1640) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,8,1640) (# 16236) : der= 5-(31,7,205) and res= 5-(31,8,1640) - the given design is the residual.

---

# 12442: 5-(32,9,11070)

• clan: 10-(36,12,205), 1 times reduced t, 3 times derived, 1 times residual
• residual design of supplementary of 6-(33,9,1080) (# 12437)
• supplementary design of 6-(32,9,960) (# 16229) with respect to smaller t
• residual design of 6-(33,9,1845) (# 16230)
• design 6-(32,9,1640) (# 16232) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,8,1640) (# 16236) : der= 5-(31,8,1640) and res= 5-(31,9,9430) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,9,9430) (# 16238) : der= 5-(31,8,1640) and res= 5-(31,9,9430) - the given design is the residual.
• derived from supplementary of 6-(33,10,6480) (# 16496)
• derived from 6-(33,10,11070) (# 16498)

---

# 12443: 6-(33,9,1125)

• clan: 11-(37,12,10), 1 times reduced t, 3 times derived, 1 times residual
• $P\Gamma L(2,32)$
• design 7-(33,9,125) (# 16239) with respect to smaller t
• Tran van Trung construction (left) for 6-(32,9,1000) (# 16240) : der= 6-(32,8,125) and res= 6-(32,9,1000) - the given design is the residual.
• residual design of 7-(34,9,135) (# 16243)
• derived from 7-(34,10,1125) (# 16501)

---

# 12444: 5-(33,9,7875)

• clan: 11-(37,12,10), 2 times reduced t, 3 times derived, 1 times residual
• design 6-(33,9,1125) (# 12443) with respect to smaller t
• Tran van Trung construction (left) for 5-(32,9,6750) (# 12445) : der= 5-(32,8,1125) and res= 5-(32,9,6750) - the given design is the residual.
• residual design of 6-(34,9,1260) (# 16199)
• supplementary design of 6-(33,9,1800) (# 16241) with respect to smaller t
• residual design of supplementary of 6-(34,9,2016) (# 16246)
• derived from 6-(34,10,7875) (# 16502)
• derived from supplementary of 6-(34,10,12600) (# 16504)

---

# 12445: 5-(32,9,6750)

• clan: 11-(37,12,10), 1 times reduced t, 3 times derived, 2 times residual
• residual design of 6-(33,9,1125) (# 12443)
• design 6-(32,9,1000) (# 16240) with respect to smaller t
• residual design of supplementary of 6-(33,9,1800) (# 16241)
• supplementary design of 6-(32,9,1600) (# 16242) with respect to smaller t
• Tran van Trung construction (left) for 5-(31,9,5750) (# 16244) : der= 5-(31,8,1000) and res= 5-(31,9,5750) - the given design is the residual.
• derived from 6-(33,10,6750) (# 16503)
• derived from supplementary of 6-(33,10,10800) (# 16505)

---

# 12446: 5-(33,9,12600)

• clan: 11-(37,12,16), 2 times reduced t, 3 times derived, 1 times residual
• supplementary design of 6-(33,9,1125) (# 12443) with respect to smaller t
• Tran van Trung construction (right) for 5-(32,8,1800) (# 12447) : der= 5-(32,8,1800) and res= 5-(32,9,10800) - the given design is the derived.
• Tran van Trung construction (left) for 5-(32,9,10800) (# 12448) : der= 5-(32,8,1800) and res= 5-(32,9,10800) - the given design is the residual.
• residual design of supplementary of 6-(34,9,1260) (# 16199)
• design 6-(33,9,1800) (# 16241) with respect to smaller t
• residual design of 6-(34,9,2016) (# 16246)
• derived from supplementary of 6-(34,10,7875) (# 16502)
• derived from 6-(34,10,12600) (# 16504)

---

# 12447: 5-(32,8,1800)

• clan: 11-(37,12,16), 1 times reduced t, 4 times derived, 1 times residual
• derived from supplementary of 6-(33,9,1125) (# 12443)
• residual design of supplementary of 6-(33,8,135) (# 16191)
• supplementary design of 6-(32,8,125) (# 16193) with respect to smaller t
• residual design of 6-(33,8,216) (# 16194)
• design 6-(32,8,200) (# 16196) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,7,200) (# 16203) : der= 5-(31,7,200) and res= 5-(31,8,1600) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,8,1600) (# 16205) : der= 5-(31,7,200) and res= 5-(31,8,1600) - the given design is the residual.
• derived from 6-(33,9,1800) (# 16241)

---

# 12448: 5-(32,9,10800)

• clan: 11-(37,12,16), 1 times reduced t, 3 times derived, 2 times residual
• residual design of supplementary of 6-(33,9,1125) (# 12443)
• supplementary design of 6-(32,9,1000) (# 16240) with respect to smaller t
• residual design of 6-(33,9,1800) (# 16241)
• design 6-(32,9,1600) (# 16242) with respect to smaller t
• Tran van Trung construction (left) for 5-(31,9,9200) (# 16245) : der= 5-(31,8,1600) and res= 5-(31,9,9200) - the given design is the residual.
• derived from supplementary of 6-(33,10,6750) (# 16503)
• derived from 6-(33,10,10800) (# 16505)

---

# 12449: 5-(34,9,9135)

• clan: 11-(37,12,10), 3 times reduced t, 3 times derived
• Tran van Trung construction (left) for 5-(33,9,7875) (# 12444) : der= 5-(33,8,1260) and res= 5-(33,9,7875) - the given design is the residual.
• design 6-(34,9,1260) (# 16199) with respect to smaller t
• supplementary design of 6-(34,9,2016) (# 16246) with respect to smaller t
• derived from 6-(35,10,9135) (# 16511)
• derived from supplementary of 6-(35,10,14616) (# 16514)

---

# 12450: 6-(33,9,1140)

• clan: 9-(36,12,1140), 3 times derived
• $P\Gamma L(2,32)$
• derived from 7-(34,10,1140) (# 16517)

---

# 12451: 5-(33,9,7980)

• clan: 9-(36,12,1140), 1 times reduced t, 3 times derived
• design 6-(33,9,1140) (# 12450) with respect to smaller t
• Tran van Trung construction (left) for 5-(32,9,6840) (# 12452) : der= 5-(32,8,1140) and res= 5-(32,9,6840) - the given design is the residual.
• derived from 6-(34,10,7980) (# 16518)
• derived from supplementary of 6-(34,10,12495) (# 16520)
• supplementary design of 6-(33,9,1785) (# 16521) with respect to smaller t

---

# 12452: 5-(32,9,6840)

• clan: 9-(36,12,1140), 3 times derived, 1 times residual
• residual design of 6-(33,9,1140) (# 12450)
• derived from 6-(33,10,6840) (# 16519)
• residual design of supplementary of 6-(33,9,1785) (# 16521)
• derived from supplementary of 6-(33,10,10710) (# 16522)

---

# 12453: 5-(33,9,12495)

• clan: 9-(36,12,1785), 1 times reduced t, 3 times derived
• supplementary design of 6-(33,9,1140) (# 12450) with respect to smaller t
• Tran van Trung construction (right) for 5-(32,8,1785) (# 12454) : der= 5-(32,8,1785) and res= 5-(32,9,10710) - the given design is the derived.
• Tran van Trung construction (left) for 5-(32,9,10710) (# 12455) : der= 5-(32,8,1785) and res= 5-(32,9,10710) - the given design is the residual.
• derived from supplementary of 6-(34,10,7980) (# 16518)
• derived from 6-(34,10,12495) (# 16520)
• design 6-(33,9,1785) (# 16521) with respect to smaller t

---

# 12454: 5-(32,8,1785)

• clan: 9-(36,12,1785), 4 times derived
• derived from supplementary of 6-(33,9,1140) (# 12450)
• derived from 6-(33,9,1785) (# 16521)

---

# 12455: 5-(32,9,10710)

• clan: 9-(36,12,1785), 3 times derived, 1 times residual
• residual design of supplementary of 6-(33,9,1140) (# 12450)
• derived from supplementary of 6-(33,10,6840) (# 16519)
• residual design of 6-(33,9,1785) (# 16521)
• derived from 6-(33,10,10710) (# 16522)

---

# 12456: 6-(33,9,1185)

• clan: 9-(36,12,1185), 3 times derived
• $P\Gamma L(2,32)$
• derived from 7-(34,10,1185) (# 16529)

---

# 12457: 5-(33,9,8295)

• clan: 9-(36,12,1185), 1 times reduced t, 3 times derived
• design 6-(33,9,1185) (# 12456) with respect to smaller t
• Tran van Trung construction (left) for 5-(32,9,7110) (# 12458) : der= 5-(32,8,1185) and res= 5-(32,9,7110) - the given design is the residual.
• derived from 6-(34,10,8295) (# 16530)
• derived from supplementary of 6-(34,10,12180) (# 16532)
• supplementary design of 6-(33,9,1740) (# 16533) with respect to smaller t

---

# 12458: 5-(32,9,7110)

• clan: 9-(36,12,1185), 3 times derived, 1 times residual
• residual design of 6-(33,9,1185) (# 12456)
• derived from 6-(33,10,7110) (# 16531)
• residual design of supplementary of 6-(33,9,1740) (# 16533)
• derived from supplementary of 6-(33,10,10440) (# 16534)

---

# 12459: 5-(33,9,12180)

• clan: 9-(36,12,1740), 1 times reduced t, 3 times derived
• supplementary design of 6-(33,9,1185) (# 12456) with respect to smaller t
• Tran van Trung construction (right) for 5-(32,8,1740) (# 12460) : der= 5-(32,8,1740) and res= 5-(32,9,10440) - the given design is the derived.
• Tran van Trung construction (left) for 5-(32,9,10440) (# 12461) : der= 5-(32,8,1740) and res= 5-(32,9,10440) - the given design is the residual.
• derived from supplementary of 6-(34,10,8295) (# 16530)
• derived from 6-(34,10,12180) (# 16532)
• design 6-(33,9,1740) (# 16533) with respect to smaller t

---

# 12460: 5-(32,8,1740)

• clan: 9-(36,12,1740), 4 times derived
• derived from supplementary of 6-(33,9,1185) (# 12456)
• derived from 6-(33,9,1740) (# 16533)

---

# 12461: 5-(32,9,10440)

• clan: 9-(36,12,1740), 3 times derived, 1 times residual
• residual design of supplementary of 6-(33,9,1185) (# 12456)
• derived from supplementary of 6-(33,10,7110) (# 16531)
• residual design of 6-(33,9,1740) (# 16533)
• derived from 6-(33,10,10440) (# 16534)

---

# 12462: 6-(33,9,120)

• clan: 9-(36,12,120), 3 times derived
• $P\Gamma L(2,32)$

---

# 12463: 5-(33,9,840)

• clan: 9-(36,12,120), 1 times reduced t, 3 times derived
• design 6-(33,9,120) (# 12462) with respect to smaller t
• Tran van Trung construction (right) for 5-(32,8,120) (# 12464) : der= 5-(32,8,120) and res= 5-(32,9,720) - the given design is the derived.
• Tran van Trung construction (left) for 5-(32,9,720) (# 12465) : der= 5-(32,8,120) and res= 5-(32,9,720) - the given design is the residual.

---

# 12464: 5-(32,8,120)

• clan: 9-(36,12,120), 4 times derived
• derived from 6-(33,9,120) (# 12462)

---

# 12465: 5-(32,9,720)

• clan: 9-(36,12,120), 3 times derived, 1 times residual
• residual design of 6-(33,9,120) (# 12462)

---

# 12466: 5-(33,9,19635)

• clan: 9-(36,12,2805), 1 times reduced t, 3 times derived
• supplementary design of 6-(33,9,120) (# 12462) with respect to smaller t
• Tran van Trung construction (right) for 5-(32,8,2805) (# 12467) : der= 5-(32,8,2805) and res= 5-(32,9,16830) - the given design is the derived.
• Tran van Trung construction (left) for 5-(32,9,16830) (# 12468) : der= 5-(32,8,2805) and res= 5-(32,9,16830) - the given design is the residual.

---

# 12467: 5-(32,8,2805)

• clan: 9-(36,12,2805), 4 times derived
• derived from supplementary of 6-(33,9,120) (# 12462)

---

# 12468: 5-(32,9,16830)

• clan: 9-(36,12,2805), 3 times derived, 1 times residual
• residual design of supplementary of 6-(33,9,120) (# 12462)

---

# 12469: 6-(33,9,1200)

• clan: 10-(37,12,144), 3 times derived, 1 times residual
• $P\Gamma L(2,32)$

---

# 12470: 5-(33,9,8400)

• clan: 10-(37,12,144), 1 times reduced t, 3 times derived, 1 times residual
• design 6-(33,9,1200) (# 12469) with respect to smaller t
• Tran van Trung construction (left) for 5-(32,9,7200) (# 12471) : der= 5-(32,8,1200) and res= 5-(32,9,7200) - the given design is the residual.

---

# 12471: 5-(32,9,7200)

• clan: 10-(37,12,144), 3 times derived, 2 times residual
• residual design of 6-(33,9,1200) (# 12469)

---

# 12472: 5-(33,9,12075)

• clan: 10-(37,12,207), 1 times reduced t, 3 times derived, 1 times residual
• supplementary design of 6-(33,9,1200) (# 12469) with respect to smaller t
• Tran van Trung construction (right) for 5-(32,8,1725) (# 12473) : der= 5-(32,8,1725) and res= 5-(32,9,10350) - the given design is the derived.
• Tran van Trung construction (left) for 5-(32,9,10350) (# 12474) : der= 5-(32,8,1725) and res= 5-(32,9,10350) - the given design is the residual.

---

# 12473: 5-(32,8,1725)

• clan: 10-(37,12,207), 4 times derived, 1 times residual
• derived from supplementary of 6-(33,9,1200) (# 12469)

---

# 12474: 5-(32,9,10350)

• clan: 10-(37,12,207), 3 times derived, 2 times residual
• residual design of supplementary of 6-(33,9,1200) (# 12469)

---

# 12475: 6-(33,9,1245)

• clan: 9-(36,12,1245), 3 times derived
• $P\Gamma L(2,32)$
• derived from 7-(34,10,1245) (# 16541)

---

# 12476: 5-(33,9,8715)

• clan: 9-(36,12,1245), 1 times reduced t, 3 times derived
• design 6-(33,9,1245) (# 12475) with respect to smaller t
• Tran van Trung construction (left) for 5-(32,9,7470) (# 12477) : der= 5-(32,8,1245) and res= 5-(32,9,7470) - the given design is the residual.
• derived from 6-(34,10,8715) (# 16542)
• derived from supplementary of 6-(34,10,11760) (# 16544)
• supplementary design of 6-(33,9,1680) (# 16545) with respect to smaller t

---

# 12477: 5-(32,9,7470)

• clan: 9-(36,12,1245), 3 times derived, 1 times residual
• residual design of 6-(33,9,1245) (# 12475)
• derived from 6-(33,10,7470) (# 16543)
• residual design of supplementary of 6-(33,9,1680) (# 16545)
• derived from supplementary of 6-(33,10,10080) (# 16546)

---

# 12478: 5-(33,9,11760)

• clan: 9-(36,12,1680), 1 times reduced t, 3 times derived
• supplementary design of 6-(33,9,1245) (# 12475) with respect to smaller t
• Tran van Trung construction (right) for 5-(32,8,1680) (# 12479) : der= 5-(32,8,1680) and res= 5-(32,9,10080) - the given design is the derived.
• Tran van Trung construction (left) for 5-(32,9,10080) (# 12480) : der= 5-(32,8,1680) and res= 5-(32,9,10080) - the given design is the residual.
• derived from supplementary of 6-(34,10,8715) (# 16542)
• derived from 6-(34,10,11760) (# 16544)
• design 6-(33,9,1680) (# 16545) with respect to smaller t

---

# 12479: 5-(32,8,1680)

• clan: 9-(36,12,1680), 4 times derived
• derived from supplementary of 6-(33,9,1245) (# 12475)
• derived from 6-(33,9,1680) (# 16545)

---

# 12480: 5-(32,9,10080)

• clan: 9-(36,12,1680), 3 times derived, 1 times residual
• residual design of supplementary of 6-(33,9,1245) (# 12475)
• derived from supplementary of 6-(33,10,7470) (# 16543)
• residual design of 6-(33,9,1680) (# 16545)
• derived from 6-(33,10,10080) (# 16546)

---

# 12481: 6-(33,9,1260)

• clan: 10-(36,12,140), 1 times reduced t, 3 times derived
• $P\Gamma L(2,32)$
• design 7-(33,9,140) (# 16247) with respect to smaller t
• Tran van Trung construction (right) for 6-(32,8,140) (# 16248) : der= 6-(32,8,140) and res= 6-(32,9,1120) - the given design is the derived.
• Tran van Trung construction (left) for 6-(32,9,1120) (# 16249) : der= 6-(32,8,140) and res= 6-(32,9,1120) - the given design is the residual.
• derived from 7-(34,10,1260) (# 16553)

---

# 12482: 5-(33,9,8820)

• clan: 10-(36,12,140), 2 times reduced t, 3 times derived
• design 6-(33,9,1260) (# 12481) with respect to smaller t
• Tran van Trung construction (left) for 5-(32,9,7560) (# 12483) : der= 5-(32,8,1260) and res= 5-(32,9,7560) - the given design is the residual.
• derived from 6-(34,10,8820) (# 12832)
• supplementary design of 6-(33,9,1665) (# 16250) with respect to smaller t
• derived from supplementary of 6-(34,10,11655) (# 16555)

---

# 12483: 5-(32,9,7560)

• clan: 10-(36,12,140), 1 times reduced t, 3 times derived, 1 times residual
• residual design of 6-(33,9,1260) (# 12481)
• design 6-(32,9,1120) (# 16249) with respect to smaller t
• residual design of supplementary of 6-(33,9,1665) (# 16250)
• supplementary design of 6-(32,9,1480) (# 16252) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,8,1120) (# 16254) : der= 5-(31,8,1120) and res= 5-(31,9,6440) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,9,6440) (# 16257) : der= 5-(31,8,1120) and res= 5-(31,9,6440) - the given design is the residual.
• derived from 6-(33,10,7560) (# 16554)
• derived from supplementary of 6-(33,10,9990) (# 16556)

---

# 12484: 5-(33,9,11655)

• clan: 10-(36,12,185), 2 times reduced t, 3 times derived
• supplementary design of 6-(33,9,1260) (# 12481) with respect to smaller t
• Tran van Trung construction (right) for 5-(32,8,1665) (# 12485) : der= 5-(32,8,1665) and res= 5-(32,9,9990) - the given design is the derived.
• Tran van Trung construction (left) for 5-(32,9,9990) (# 12486) : der= 5-(32,8,1665) and res= 5-(32,9,9990) - the given design is the residual.
• derived from supplementary of 6-(34,10,8820) (# 12832)
• design 6-(33,9,1665) (# 16250) with respect to smaller t
• derived from 6-(34,10,11655) (# 16555)

---

# 12485: 5-(32,8,1665)

• clan: 10-(36,12,185), 1 times reduced t, 4 times derived
• derived from supplementary of 6-(33,9,1260) (# 12481)
• supplementary design of 6-(32,8,140) (# 16248) with respect to smaller t
• derived from 6-(33,9,1665) (# 16250)
• design 6-(32,8,185) (# 16251) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,7,185) (# 16255) : der= 5-(31,7,185) and res= 5-(31,8,1480) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,8,1480) (# 16256) : der= 5-(31,7,185) and res= 5-(31,8,1480) - the given design is the residual.

---

# 12486: 5-(32,9,9990)

• clan: 10-(36,12,185), 1 times reduced t, 3 times derived, 1 times residual
• residual design of supplementary of 6-(33,9,1260) (# 12481)
• supplementary design of 6-(32,9,1120) (# 16249) with respect to smaller t
• residual design of 6-(33,9,1665) (# 16250)
• design 6-(32,9,1480) (# 16252) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,8,1480) (# 16256) : der= 5-(31,8,1480) and res= 5-(31,9,8510) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,9,8510) (# 16258) : der= 5-(31,8,1480) and res= 5-(31,9,8510) - the given design is the residual.
• derived from supplementary of 6-(33,10,7560) (# 16554)
• derived from 6-(33,10,9990) (# 16556)

---

# 12487: 6-(33,9,1305)

• clan: 10-(36,12,145), 1 times reduced t, 3 times derived
• $P\Gamma L(2,32)$
• design 7-(33,9,145) (# 16259) with respect to smaller t
• Tran van Trung construction (right) for 6-(32,8,145) (# 16260) : der= 6-(32,8,145) and res= 6-(32,9,1160) - the given design is the derived.
• Tran van Trung construction (left) for 6-(32,9,1160) (# 16261) : der= 6-(32,8,145) and res= 6-(32,9,1160) - the given design is the residual.
• derived from 7-(34,10,1305) (# 16559)

---

# 12488: 5-(33,9,9135)

• clan: 10-(36,12,145), 2 times reduced t, 3 times derived
• design 6-(33,9,1305) (# 12487) with respect to smaller t
• Tran van Trung construction (left) for 5-(32,9,7830) (# 12489) : der= 5-(32,8,1305) and res= 5-(32,9,7830) - the given design is the residual.
• derived from 6-(34,10,9135) (# 12837)
• supplementary design of 6-(33,9,1620) (# 16262) with respect to smaller t
• derived from supplementary of 6-(34,10,11340) (# 16561)

---

# 12489: 5-(32,9,7830)

• clan: 10-(36,12,145), 1 times reduced t, 3 times derived, 1 times residual
• residual design of 6-(33,9,1305) (# 12487)
• design 6-(32,9,1160) (# 16261) with respect to smaller t
• residual design of supplementary of 6-(33,9,1620) (# 16262)
• supplementary design of 6-(32,9,1440) (# 16264) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,8,1160) (# 16266) : der= 5-(31,8,1160) and res= 5-(31,9,6670) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,9,6670) (# 16269) : der= 5-(31,8,1160) and res= 5-(31,9,6670) - the given design is the residual.
• derived from 6-(33,10,7830) (# 16560)
• derived from supplementary of 6-(33,10,9720) (# 16562)

---

# 12490: 5-(33,9,11340)

• clan: 10-(36,12,180), 2 times reduced t, 3 times derived
• supplementary design of 6-(33,9,1305) (# 12487) with respect to smaller t
• Tran van Trung construction (right) for 5-(32,8,1620) (# 12491) : der= 5-(32,8,1620) and res= 5-(32,9,9720) - the given design is the derived.
• Tran van Trung construction (left) for 5-(32,9,9720) (# 12492) : der= 5-(32,8,1620) and res= 5-(32,9,9720) - the given design is the residual.
• derived from supplementary of 6-(34,10,9135) (# 12837)
• design 6-(33,9,1620) (# 16262) with respect to smaller t
• derived from 6-(34,10,11340) (# 16561)

---

# 12491: 5-(32,8,1620)

• clan: 10-(36,12,180), 1 times reduced t, 4 times derived
• derived from supplementary of 6-(33,9,1305) (# 12487)
• supplementary design of 6-(32,8,145) (# 16260) with respect to smaller t
• derived from 6-(33,9,1620) (# 16262)
• design 6-(32,8,180) (# 16263) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,7,180) (# 16267) : der= 5-(31,7,180) and res= 5-(31,8,1440) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,8,1440) (# 16268) : der= 5-(31,7,180) and res= 5-(31,8,1440) - the given design is the residual.

---

# 12492: 5-(32,9,9720)

• clan: 10-(36,12,180), 1 times reduced t, 3 times derived, 1 times residual
• residual design of supplementary of 6-(33,9,1305) (# 12487)
• supplementary design of 6-(32,9,1160) (# 16261) with respect to smaller t
• residual design of 6-(33,9,1620) (# 16262)
• design 6-(32,9,1440) (# 16264) with respect to smaller t
• Tran van Trung construction (right) for 5-(31,8,1440) (# 16268) : der= 5-(31,8,1440) and res= 5-(31,9,8280) - the given design is the derived.
• Tran van Trung construction (left) for 5-(31,9,8280) (# 16270) : der= 5-(31,8,1440) and res= 5-(31,9,8280) - the given design is the residual.
• derived from supplementary of 6-(33,10,7830) (# 16560)
• derived from 6-(33,10,9720) (# 16562)

---

# 12493: 6-(33,9,1320)

• clan: 9-(36,12,1320), 3 times derived
• $P\Gamma L(2,32)$
• derived from 7-(34,10,1320) (# 16565)

---

# 12494: 5-(33,9,9240)

• clan: 9-(36,12,1320), 1 times reduced t, 3 times derived
• design 6-(33,9,1320) (# 12493) with respect to smaller t
• Tran van Trung construction (left) for 5-(32,9,7920) (# 12495) : der= 5-(32,8,1320) and res= 5-(32,9,7920) - the given design is the residual.
• derived from 6-(34,10,9240) (# 16566)
• derived from supplementary of 6-(34,10,11235) (# 16568)
• supplementary design of 6-(33,9,1605) (# 16569) with respect to smaller t

---

# 12495: 5-(32,9,7920)

• clan: 9-(36,12,1320), 3 times derived, 1 times residual
• residual design of 6-(33,9,1320) (# 12493)
• derived from 6-(33,10,7920) (# 16567)
• residual design of supplementary of 6-(33,9,1605) (# 16569)
• derived from supplementary of 6-(33,10,9630) (# 16570)

---

# 12496: 5-(33,9,11235)

• clan: 9-(36,12,1605), 1 times reduced t, 3 times derived
• supplementary design of 6-(33,9,1320) (# 12493) with respect to smaller t
• Tran van Trung construction (right) for 5-(32,8,1605) (# 12497) : der= 5-(32,8,1605) and res= 5-(32,9,9630) - the given design is the derived.
• Tran van Trung construction (left) for 5-(32,9,9630) (# 12498) : der= 5-(32,8,1605) and res= 5-(32,9,9630) - the given design is the residual.
• derived from supplementary of 6-(34,10,9240) (# 16566)
• derived from 6-(34,10,11235) (# 16568)
• design 6-(33,9,1605) (# 16569) with respect to smaller t

---

# 12497: 5-(32,8,1605)

• clan: 9-(36,12,1605), 4 times derived
• derived from supplementary of 6-(33,9,1320) (# 12493)
• derived from 6-(33,9,1605) (# 16569)

---

# 12498: 5-(32,9,9630)

• clan: 9-(36,12,1605), 3 times derived, 1 times residual
• residual design of supplementary of 6-(33,9,1320) (# 12493)
• derived from supplementary of 6-(33,10,7920) (# 16567)
• residual design of 6-(33,9,1605) (# 16569)
• derived from 6-(33,10,9630) (# 16570)

---

# 12499: 6-(33,9,1365)

• clan: 21-(48,24,1365), 15 times derived
• $P\Gamma L(2,32)$
• derived from 7-(34,10,1365) (# 16577)

---

---

created: Fri Oct 23 11:13:04 CEST 2009