t designs with small t, id ge 10400

---

# 10400: 5-(25,8,840)

• clan: 17-(36,18,14), 1 times reduced t, 10 times derived, 1 times residual
• supplementary design of 6-(25,8,45) (# 10399) with respect to smaller t
• Tran van Trung construction (right) for 5-(24,7,126) (# 10401) : der= 5-(24,7,126) and res= 5-(24,8,714) - the given design is the derived.
• derived from supplementary of 6-(26,9,300) (# 10572)

---

# 10401: 5-(24,7,126)

• clan: 17-(36,18,14), 11 times derived, 1 times residual
• derived from supplementary of 6-(25,8,45) (# 10399)

---

# 10402: 6-(25,8,54)

• clan: 17-(36,18,6), 10 times derived, 1 times residual
• PGL(2,23)+ \cite{Bettenetal98b}
• residual design of 7-(26,8,6) (# 13762)
• derived from 7-(26,9,54) (# 13768)

---

# 10403: 5-(25,8,780)

• clan: 17-(36,18,13), 1 times reduced t, 10 times derived, 1 times residual
• supplementary design of 6-(25,8,54) (# 10402) with respect to smaller t
• Tran van Trung construction (right) for 5-(24,7,117) (# 10404) : der= 5-(24,7,117) and res= 5-(24,8,663) - the given design is the derived.
• residual design of supplementary of 6-(26,8,60) (# 10562)
• derived from supplementary of 6-(26,9,360) (# 10575)
• residual design of 6-(26,8,130) (# 13764)
• design 6-(25,8,117) (# 13766) with respect to smaller t
• derived from 6-(26,9,780) (# 13770)

---

# 10404: 5-(24,7,117)

• clan: 17-(36,18,13), 11 times derived, 1 times residual
• derived from supplementary of 6-(25,8,54) (# 10402)
• residual design of supplementary of 6-(25,7,6) (# 13763)
• residual design of 6-(25,7,13) (# 13765)
• derived from 6-(25,8,117) (# 13766)

---

# 10405: 6-(25,8,63)

• clan: 17-(36,18,7), 10 times derived, 1 times residual
• $AGL(2,5)^2$
• PGL(2,23)+ \cite{Bettenetal98b}
• derived from 7-(26,9,63) (# 13775)

---

# 10406: 5-(25,8,720)

• clan: 17-(36,18,12), 1 times reduced t, 10 times derived, 1 times residual
• supplementary design of 6-(25,8,63) (# 10405) with respect to smaller t
• Tran van Trung construction (right) for 5-(24,7,108) (# 10407) : der= 5-(24,7,108) and res= 5-(24,8,612) - the given design is the derived.
• residual design of supplementary of 6-(26,8,70) (# 10565)
• derived from supplementary of 6-(26,9,420) (# 10580)
• derived from 6-(26,9,720) (# 13777)
• design 6-(25,8,108) (# 13778) with respect to smaller t

---

# 10407: 5-(24,7,108)

• clan: 17-(36,18,12), 11 times derived, 1 times residual
• derived from supplementary of 6-(25,8,63) (# 10405)
• derived from 6-(25,8,108) (# 13778)

---

# 10408: 6-(25,8,72)

• clan: 17-(36,18,8), 10 times derived, 1 times residual
• PGL(2,23)+ \cite{Bettenetal98b}

---

# 10409: 5-(25,8,660)

• clan: 17-(36,18,11), 1 times reduced t, 10 times derived, 1 times residual
• supplementary design of 6-(25,8,72) (# 10408) with respect to smaller t
• Tran van Trung construction (right) for 5-(24,7,99) (# 10410) : der= 5-(24,7,99) and res= 5-(24,8,561) - the given design is the derived.
• derived from supplementary of 6-(26,9,480) (# 10585)

---

# 10410: 5-(24,7,99)

• clan: 17-(36,18,11), 11 times derived, 1 times residual
• derived from supplementary of 6-(25,8,72) (# 10408)

---

# 10411: 6-(25,8,81)

• clan: 17-(36,18,9), 10 times derived, 1 times residual
• PGL(2,23)+ \cite{Bettenetal98b}
• derived from 7-(26,9,81) (# 13781)

---

# 10412: 5-(25,8,600)

• clan: 17-(36,18,10), 1 times reduced t, 10 times derived, 1 times residual
• supplementary design of 6-(25,8,81) (# 10411) with respect to smaller t
• Tran van Trung construction (right) for 5-(24,7,90) (# 10413) : der= 5-(24,7,90) and res= 5-(24,8,510) - the given design is the derived.
• derived from supplementary of 6-(26,9,540) (# 10588)
• derived from 6-(26,9,600) (# 10594)
• design 6-(25,8,90) (# 13783) with respect to smaller t

---

# 10413: 5-(24,7,90)

• clan: 17-(36,18,10), 11 times derived, 1 times residual
• derived from supplementary of 6-(25,8,81) (# 10411)
• derived from 6-(25,8,90) (# 13783)

---

# 10414: 6-(25,9,105)

• clan: 13-(32,16,105), 7 times derived
• $ AGL(2,5)$

---

# 10415: 5-(25,9,4320)

• clan: 13-(32,16,864), 1 times reduced t, 7 times derived
• supplementary design of 6-(25,9,105) (# 10414) with respect to smaller t
• Tran van Trung construction (left) for 5-(24,9,3456) (# 10416) : der= 5-(24,8,864) and res= 5-(24,9,3456) - the given design is the residual.

---

# 10416: 5-(24,9,3456)

• clan: 13-(32,16,864), 7 times derived, 1 times residual
• residual design of supplementary of 6-(25,9,105) (# 10414)

---

# 10417: 6-(25,9,144)

• clan: 13-(32,16,144), 7 times derived
• $ AGL(2,5)$

---

# 10418: 5-(25,9,4125)

• clan: 13-(32,16,825), 1 times reduced t, 7 times derived
• supplementary design of 6-(25,9,144) (# 10417) with respect to smaller t
• Tran van Trung construction (left) for 5-(24,9,3300) (# 10419) : der= 5-(24,8,825) and res= 5-(24,9,3300) - the given design is the residual.
• derived from supplementary of 6-(26,10,720) (# 10541)

---

# 10419: 5-(24,9,3300)

• clan: 13-(32,16,825), 7 times derived, 1 times residual
• residual design of supplementary of 6-(25,9,144) (# 10417)

---

# 10420: 6-(25,9,180)

• clan: 13-(32,16,180), 7 times derived
• $ AGL(2,5)$

---

# 10421: 5-(25,9,3945)

• clan: 13-(32,16,789), 1 times reduced t, 7 times derived
• supplementary design of 6-(25,9,180) (# 10420) with respect to smaller t
• Tran van Trung construction (left) for 5-(24,9,3156) (# 10422) : der= 5-(24,8,789) and res= 5-(24,9,3156) - the given design is the residual.
• derived from supplementary of 6-(26,10,900) (# 10552)
• derived from 6-(26,10,3945) (# 14482)

---

# 10422: 5-(24,9,3156)

• clan: 13-(32,16,789), 7 times derived, 1 times residual
• residual design of supplementary of 6-(25,9,180) (# 10420)

---

# 10423: 6-(25,9,189)

• clan: 13-(32,16,189), 7 times derived
• $ AGL(2,5)$

---

# 10424: 5-(25,9,3900)

• clan: 13-(32,16,780), 1 times reduced t, 7 times derived
• supplementary design of 6-(25,9,189) (# 10423) with respect to smaller t
• Tran van Trung construction (left) for 5-(24,9,3120) (# 10425) : der= 5-(24,8,780) and res= 5-(24,9,3120) - the given design is the residual.
• derived from supplementary of 6-(26,10,945) (# 10555)
• derived from 6-(26,10,3900) (# 14510)

---

# 10425: 5-(24,9,3120)

• clan: 13-(32,16,780), 7 times derived, 1 times residual
• residual design of supplementary of 6-(25,9,189) (# 10423)

---

# 10426: 6-(25,9,204)

• clan: 17-(36,18,4), 9 times derived, 2 times residual
• $ AGL(2,5)$

---

# 10427: 5-(25,9,3825)

• clan: 17-(36,18,15), 1 times reduced t, 9 times derived, 2 times residual
• supplementary design of 6-(25,9,204) (# 10426) with respect to smaller t
• Tran van Trung construction (left) for 5-(24,9,3060) (# 10428) : der= 5-(24,8,765) and res= 5-(24,9,3060) - the given design is the residual.
• residual design of supplementary of 6-(26,9,240) (# 10429)
• derived from supplementary of 6-(26,10,1020) (# 10467)
• residual design of 6-(26,9,900) (# 13788)
• derived from 6-(26,10,3825) (# 13789)

---

# 10428: 5-(24,9,3060)

• clan: 17-(36,18,15), 9 times derived, 3 times residual
• residual design of supplementary of 6-(25,9,204) (# 10426)

---

# 10429: 6-(26,9,240)

• clan: 17-(36,18,4), 1 times reduced t, 9 times derived, 1 times residual
• Tran van Trung construction (left) for 6-(25,9,204) (# 10426) : der= 6-(25,8,36) and res= 6-(25,9,204) - the given design is the residual.
• $ {\bf PSL(2,25)} \geq 1$ % -group 3 PSL 2 25 PSL_2_25
• derived from 7-(27,10,240) (# 13786)

---

# 10430: 5-(26,9,4725)

• clan: 17-(36,18,15), 2 times reduced t, 9 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(25,9,3825) (# 10427) : der= 5-(25,8,900) and res= 5-(25,9,3825) - the given design is the residual.
• supplementary design of 6-(26,9,240) (# 10429) with respect to smaller t
• derived from supplementary of 6-(27,10,1260) (# 10470)
• residual design of supplementary of 6-(27,9,280) (# 11614)
• derived from 6-(27,10,4725) (# 13787)
• design 6-(26,9,900) (# 13788) with respect to smaller t

---

# 10431: 6-(25,9,225)

• clan: 13-(32,16,225), 7 times derived
• $ AGL(2,5)$

---

# 10432: 5-(25,9,3720)

• clan: 13-(32,16,744), 1 times reduced t, 7 times derived
• supplementary design of 6-(25,9,225) (# 10431) with respect to smaller t
• Tran van Trung construction (left) for 5-(24,9,2976) (# 10433) : der= 5-(24,8,744) and res= 5-(24,9,2976) - the given design is the residual.
• derived from supplementary of 6-(26,10,1125) (# 10472)

---

# 10433: 5-(24,9,2976)

• clan: 13-(32,16,744), 7 times derived, 1 times residual
• residual design of supplementary of 6-(25,9,225) (# 10431)

---

# 10434: 6-(25,9,240)

• clan: 13-(32,16,240), 7 times derived
• $ AGL(2,5)$

---

# 10435: 5-(25,9,3645)

• clan: 13-(32,16,729), 1 times reduced t, 7 times derived
• supplementary design of 6-(25,9,240) (# 10434) with respect to smaller t
• Tran van Trung construction (left) for 5-(24,9,2916) (# 10436) : der= 5-(24,8,729) and res= 5-(24,9,2916) - the given design is the residual.
• derived from supplementary of 6-(26,10,1200) (# 10479)
• derived from 6-(26,10,3645) (# 13872)

---

# 10436: 5-(24,9,2916)

• clan: 13-(32,16,729), 7 times derived, 1 times residual
• residual design of supplementary of 6-(25,9,240) (# 10434)

---

# 10437: 6-(25,9,249)

• clan: 13-(32,16,249), 7 times derived
• $ AGL(2,5)$

---

# 10438: 5-(25,9,3600)

• clan: 13-(32,16,720), 1 times reduced t, 7 times derived
• supplementary design of 6-(25,9,249) (# 10437) with respect to smaller t
• Tran van Trung construction (left) for 5-(24,9,2880) (# 10439) : der= 5-(24,8,720) and res= 5-(24,9,2880) - the given design is the residual.
• derived from supplementary of 6-(26,10,1245) (# 10482)

---

# 10439: 5-(24,9,2880)

• clan: 13-(32,16,720), 7 times derived, 1 times residual
• residual design of supplementary of 6-(25,9,249) (# 10437)

---

# 10440: 6-(25,9,285)

• clan: 15-(32,16,5), 2 times reduced t, 7 times derived
• \cite{Sebille98} $ AGL(2,5)$
• Tran van Trung construction (left) for 6-(24,9,240) (# 13435) : der= 6-(24,8,45) and res= 6-(24,9,240) - the given design is the residual.
• design 7-(25,9,45) (# 13439) with respect to smaller t

---

# 10441: 5-(25,9,3420)

• clan: 15-(32,16,12), 3 times reduced t, 7 times derived
• supplementary design of 6-(25,9,285) (# 10440) with respect to smaller t
• Tran van Trung construction (left) for 5-(24,9,2736) (# 10442) : der= 5-(24,8,684) and res= 5-(24,9,2736) - the given design is the residual.
• derived from supplementary of 6-(26,10,1425) (# 10493)
• design 6-(25,9,684) (# 13441) with respect to smaller t

---

# 10442: 5-(24,9,2736)

• clan: 15-(32,16,12), 2 times reduced t, 7 times derived, 1 times residual
• residual design of supplementary of 6-(25,9,285) (# 10440)
• Tran van Trung construction (left) for 5-(23,9,2160) (# 13297) : der= 5-(23,8,576) and res= 5-(23,9,2160) - the given design is the residual.
• supplementary design of 6-(24,9,240) (# 13435) with respect to smaller t
• design 6-(24,9,576) (# 13437) with respect to smaller t
• residual design of 6-(25,9,684) (# 13441)
• derived from supplementary of 6-(25,10,1140) (# 13442)

---

# 10443: 6-(25,9,324)

• clan: 13-(32,16,324), 7 times derived
• \cite{Sebille98} $ AGL(2,5)$

---

# 10444: 5-(25,9,3225)

• clan: 13-(32,16,645), 1 times reduced t, 7 times derived
• supplementary design of 6-(25,9,324) (# 10443) with respect to smaller t
• Tran van Trung construction (left) for 5-(24,9,2580) (# 10445) : der= 5-(24,8,645) and res= 5-(24,9,2580) - the given design is the residual.
• derived from supplementary of 6-(26,10,1620) (# 10504)
• derived from 6-(26,10,3225) (# 14026)

---

# 10445: 5-(24,9,2580)

• clan: 13-(32,16,645), 7 times derived, 1 times residual
• residual design of supplementary of 6-(25,9,324) (# 10443)
• derived from supplementary of 6-(25,10,1296) (# 17560)
• derived from 6-(25,10,2580) (# 17562)

---

# 10446: 6-(25,9,360)

• clan: 13-(32,16,360), 7 times derived
• $ AGL(2,5)$

---

# 10447: 5-(25,9,3045)

• clan: 13-(32,16,609), 1 times reduced t, 7 times derived
• supplementary design of 6-(25,9,360) (# 10446) with respect to smaller t
• Tran van Trung construction (left) for 5-(24,9,2436) (# 10448) : der= 5-(24,8,609) and res= 5-(24,9,2436) - the given design is the residual.
• derived from supplementary of 6-(26,10,1800) (# 10515)

---

# 10448: 5-(24,9,2436)

• clan: 13-(32,16,609), 7 times derived, 1 times residual
• residual design of supplementary of 6-(25,9,360) (# 10446)

---

# 10449: 6-(25,9,369)

• clan: 13-(32,16,369), 7 times derived
• $ AGL(2,5)$

---

# 10450: 5-(25,9,3000)

• clan: 13-(32,16,600), 1 times reduced t, 7 times derived
• supplementary design of 6-(25,9,369) (# 10449) with respect to smaller t
• Tran van Trung construction (left) for 5-(24,9,2400) (# 10451) : der= 5-(24,8,600) and res= 5-(24,9,2400) - the given design is the residual.
• derived from supplementary of 6-(26,10,1845) (# 10518)
• derived from 6-(26,10,3000) (# 14106)

---

# 10451: 5-(24,9,2400)

• clan: 13-(32,16,600), 7 times derived, 1 times residual
• residual design of supplementary of 6-(25,9,369) (# 10449)

---

# 10452: 6-(25,9,384)

• clan: 13-(32,16,384), 7 times derived
• $ AGL(2,5)$

---

# 10453: 5-(25,9,2925)

• clan: 13-(32,16,585), 1 times reduced t, 7 times derived
• supplementary design of 6-(25,9,384) (# 10452) with respect to smaller t
• Tran van Trung construction (left) for 5-(24,9,2340) (# 10454) : der= 5-(24,8,585) and res= 5-(24,9,2340) - the given design is the residual.
• derived from supplementary of 6-(26,10,1920) (# 13614)
• derived from 6-(26,10,2925) (# 14165)

---

# 10454: 5-(24,9,2340)

• clan: 13-(32,16,585), 7 times derived, 1 times residual
• residual design of supplementary of 6-(25,9,384) (# 10452)
• derived from supplementary of 6-(25,10,1536) (# 13605)
• derived from 6-(25,10,2340) (# 13608)

---

# 10455: 6-(25,9,405)

• clan: 13-(32,16,405), 7 times derived
• $ AGL(2,5)$

---

# 10456: 5-(25,9,2820)

• clan: 13-(32,16,564), 1 times reduced t, 7 times derived
• supplementary design of 6-(25,9,405) (# 10455) with respect to smaller t
• Tran van Trung construction (left) for 5-(24,9,2256) (# 10457) : der= 5-(24,8,564) and res= 5-(24,9,2256) - the given design is the residual.
• derived from supplementary of 6-(26,10,2025) (# 14203)
• derived from 6-(26,10,2820) (# 14206)

---

# 10457: 5-(24,9,2256)

• clan: 13-(32,16,564), 7 times derived, 1 times residual
• residual design of supplementary of 6-(25,9,405) (# 10455)

---

# 10458: 6-(25,9,420)

• clan: 13-(32,16,420), 7 times derived
• $ AGL(2,5)$

---

# 10459: 5-(25,9,2745)

• clan: 13-(32,16,549), 1 times reduced t, 7 times derived
• supplementary design of 6-(25,9,420) (# 10458) with respect to smaller t
• Tran van Trung construction (left) for 5-(24,9,2196) (# 10460) : der= 5-(24,8,549) and res= 5-(24,9,2196) - the given design is the residual.

---

# 10460: 5-(24,9,2196)

• clan: 13-(32,16,549), 7 times derived, 1 times residual
• residual design of supplementary of 6-(25,9,420) (# 10458)

---

# 10461: 6-(25,9,429)

• clan: 13-(32,16,429), 7 times derived
• $ AGL(2,5)$

---

# 10462: 5-(25,9,2700)

• clan: 13-(32,16,540), 1 times reduced t, 7 times derived
• supplementary design of 6-(25,9,429) (# 10461) with respect to smaller t
• Tran van Trung construction (left) for 5-(24,9,2160) (# 10463) : der= 5-(24,8,540) and res= 5-(24,9,2160) - the given design is the residual.
• derived from supplementary of 6-(26,10,2145) (# 13628)
• derived from 6-(26,10,2700) (# 14257)

---

# 10463: 5-(24,9,2160)

• clan: 13-(32,16,540), 7 times derived, 1 times residual
• residual design of supplementary of 6-(25,9,429) (# 10461)
• derived from supplementary of 6-(25,10,1716) (# 13620)
• derived from 6-(25,10,2160) (# 13623)

---

# 10464: 6-(25,9,465)

• clan: 13-(32,16,465), 7 times derived
• $ AGL(2,5)$

---

# 10465: 5-(25,9,2520)

• clan: 13-(32,16,504), 1 times reduced t, 7 times derived
• supplementary design of 6-(25,9,465) (# 10464) with respect to smaller t
• Tran van Trung construction (left) for 5-(24,9,2016) (# 10466) : der= 5-(24,8,504) and res= 5-(24,9,2016) - the given design is the residual.
• derived from supplementary of 6-(26,10,2325) (# 10530)
• derived from 6-(26,10,2520) (# 14319)

---

# 10466: 5-(24,9,2016)

• clan: 13-(32,16,504), 7 times derived, 1 times residual
• residual design of supplementary of 6-(25,9,465) (# 10464)

---

# 10467: 6-(26,10,1020)

• clan: 17-(36,18,4), 1 times reduced t, 8 times derived, 2 times residual
• $ {\bf PGL(2,25)} \geq 1$ % -group 3 PGL 2 25 PGL_2_25
• residual design of 7-(27,10,240) (# 13786)

---

# 10468: 5-(26,10,16065)

• clan: 17-(36,18,15), 2 times reduced t, 8 times derived, 2 times residual
• supplementary design of 6-(26,10,1020) (# 10467) with respect to smaller t
• Tran van Trung construction (left) for 5-(25,10,12240) (# 10469) : der= 5-(25,9,3825) and res= 5-(25,10,12240) - the given design is the residual.
• residual design of supplementary of 6-(27,10,1260) (# 10470)
• residual design of 6-(27,10,4725) (# 13787)
• design 6-(26,10,3825) (# 13789) with respect to smaller t

---

# 10469: 5-(25,10,12240)

• clan: 17-(36,18,15), 1 times reduced t, 8 times derived, 3 times residual
• residual design of supplementary of 6-(26,10,1020) (# 10467)
• residual design of 6-(26,10,3825) (# 13789)

---

# 10470: 6-(27,10,1260)

• clan: 17-(36,18,4), 2 times reduced t, 8 times derived, 1 times residual
• Tran van Trung construction (left) for 6-(26,10,1020) (# 10467) : der= 6-(26,9,240) and res= 6-(26,10,1020) - the given design is the residual.
• design 7-(27,10,240) (# 13786) with respect to smaller t

---

# 10471: 5-(27,10,20790)

• clan: 17-(36,18,15), 3 times reduced t, 8 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(26,10,16065) (# 10468) : der= 5-(26,9,4725) and res= 5-(26,10,16065) - the given design is the residual.
• supplementary design of 6-(27,10,1260) (# 10470) with respect to smaller t
• residual design of supplementary of 6-(28,10,1540) (# 11617)
• design 6-(27,10,4725) (# 13787) with respect to smaller t

---

# 10472: 6-(26,10,1125)

• clan: 13-(32,16,225), 1 times reduced t, 6 times derived
• $ {\bf PGL(2,25)} \geq 1$ % -group 3 PGL 2 25 PGL_2_25

---

# 10473: 5-(26,10,15624)

• clan: 13-(32,16,744), 2 times reduced t, 6 times derived
• supplementary design of 6-(26,10,1125) (# 10472) with respect to smaller t
• Tran van Trung construction (left) for 5-(25,10,11904) (# 10474) : der= 5-(25,9,3720) and res= 5-(25,10,11904) - the given design is the residual.

---

# 10474: 5-(25,10,11904)

• clan: 13-(32,16,744), 1 times reduced t, 6 times derived, 1 times residual
• residual design of supplementary of 6-(26,10,1125) (# 10472)

---

# 10475: 6-(26,10,1170)

• clan: 13-(32,16,234), 1 times reduced t, 6 times derived
• $ {\bf PGL(2,25)} \geq 1$ % -group 3 PGL 2 25 PGL_2_25
• derived from 7-(27,11,1170) (# 13838)

---

# 10476: 5-(26,10,15435)

• clan: 13-(32,16,735), 2 times reduced t, 6 times derived
• supplementary design of 6-(26,10,1170) (# 10475) with respect to smaller t
• Tran van Trung construction (right) for 5-(25,9,3675) (# 10477) : der= 5-(25,9,3675) and res= 5-(25,10,11760) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,11760) (# 10478) : der= 5-(25,9,3675) and res= 5-(25,10,11760) - the given design is the residual.
• derived from supplementary of 6-(27,11,4914) (# 13839)
• derived from 6-(27,11,15435) (# 13841)
• design 6-(26,10,3675) (# 13842) with respect to smaller t

---

# 10477: 5-(25,9,3675)

• clan: 13-(32,16,735), 1 times reduced t, 7 times derived
• derived from supplementary of 6-(26,10,1170) (# 10475)
• derived from 6-(26,10,3675) (# 13842)

---

# 10478: 5-(25,10,11760)

• clan: 13-(32,16,735), 1 times reduced t, 6 times derived, 1 times residual
• residual design of supplementary of 6-(26,10,1170) (# 10475)
• derived from supplementary of 6-(26,11,3744) (# 13840)
• residual design of 6-(26,10,3675) (# 13842)
• derived from 6-(26,11,11760) (# 13843)

---

# 10479: 6-(26,10,1200)

• clan: 13-(32,16,240), 1 times reduced t, 6 times derived
• $ {\bf PGL(2,25)} \geq 1$ % -group 3 PGL 2 25 PGL_2_25
• derived from 7-(27,11,1200) (# 13868)

---

# 10480: 5-(26,10,15309)

• clan: 13-(32,16,729), 2 times reduced t, 6 times derived
• supplementary design of 6-(26,10,1200) (# 10479) with respect to smaller t
• Tran van Trung construction (left) for 5-(25,10,11664) (# 10481) : der= 5-(25,9,3645) and res= 5-(25,10,11664) - the given design is the residual.
• derived from supplementary of 6-(27,11,5040) (# 13869)
• derived from 6-(27,11,15309) (# 13871)
• design 6-(26,10,3645) (# 13872) with respect to smaller t

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# 10481: 5-(25,10,11664)

• clan: 13-(32,16,729), 1 times reduced t, 6 times derived, 1 times residual
• residual design of supplementary of 6-(26,10,1200) (# 10479)
• derived from supplementary of 6-(26,11,3840) (# 13870)
• residual design of 6-(26,10,3645) (# 13872)
• derived from 6-(26,11,11664) (# 13873)

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# 10482: 6-(26,10,1245)

• clan: 13-(32,16,249), 1 times reduced t, 6 times derived
• $ {\bf PGL(2,25)} \geq 1$ % -group 3 PGL 2 25 PGL_2_25

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# 10483: 5-(26,10,15120)

• clan: 13-(32,16,720), 2 times reduced t, 6 times derived
• supplementary design of 6-(26,10,1245) (# 10482) with respect to smaller t
• Tran van Trung construction (left) for 5-(25,10,11520) (# 10484) : der= 5-(25,9,3600) and res= 5-(25,10,11520) - the given design is the residual.

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# 10484: 5-(25,10,11520)

• clan: 13-(32,16,720), 1 times reduced t, 6 times derived, 1 times residual
• residual design of supplementary of 6-(26,10,1245) (# 10482)

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# 10485: 6-(26,10,1350)

• clan: 13-(32,16,270), 1 times reduced t, 6 times derived
• $ {\bf PGL(2,25)} \geq 1$ % -group 3 PGL 2 25 PGL_2_25
• derived from 7-(27,11,1350) (# 13912)

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# 10486: 5-(26,10,14679)

• clan: 13-(32,16,699), 2 times reduced t, 6 times derived
• supplementary design of 6-(26,10,1350) (# 10485) with respect to smaller t
• Tran van Trung construction (right) for 5-(25,9,3495) (# 10487) : der= 5-(25,9,3495) and res= 5-(25,10,11184) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,11184) (# 10488) : der= 5-(25,9,3495) and res= 5-(25,10,11184) - the given design is the residual.
• derived from supplementary of 6-(27,11,5670) (# 10655)
• derived from 6-(27,11,14679) (# 13913)
• design 6-(26,10,3495) (# 13914) with respect to smaller t

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# 10487: 5-(25,9,3495)

• clan: 13-(32,16,699), 1 times reduced t, 7 times derived
• derived from supplementary of 6-(26,10,1350) (# 10485)
• Tran van Trung construction (left) for 5-(24,9,2796) (# 13540) : der= 5-(24,8,699) and res= 5-(24,9,2796) - the given design is the residual.
• derived from 6-(26,10,3495) (# 13914)

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# 10488: 5-(25,10,11184)

• clan: 13-(32,16,699), 1 times reduced t, 6 times derived, 1 times residual
• residual design of supplementary of 6-(26,10,1350) (# 10485)
• derived from supplementary of 6-(26,11,4320) (# 13532)
• supplementary design of 6-(25,10,1080) (# 13533) with respect to smaller t
• derived from 6-(26,11,11184) (# 13535)
• design 6-(25,10,2796) (# 13536) with respect to smaller t
• Tran van Trung construction (right) for 5-(24,9,2796) (# 13540) : der= 5-(24,9,2796) and res= 5-(24,10,8388) - the given design is the derived.
• Tran van Trung construction (left) for 5-(24,10,8388) (# 13541) : der= 5-(24,9,2796) and res= 5-(24,10,8388) - the given design is the residual.
• residual design of 6-(26,10,3495) (# 13914)

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# 10489: 6-(26,10,1395)

• clan: 13-(32,16,279), 1 times reduced t, 6 times derived
• $ {\bf PGL(2,25)} \geq 1$ % -group 3 PGL 2 25 PGL_2_25

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# 10490: 5-(26,10,14490)

• clan: 13-(32,16,690), 2 times reduced t, 6 times derived
• supplementary design of 6-(26,10,1395) (# 10489) with respect to smaller t
• Tran van Trung construction (right) for 5-(25,9,3450) (# 10491) : der= 5-(25,9,3450) and res= 5-(25,10,11040) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,11040) (# 10492) : der= 5-(25,9,3450) and res= 5-(25,10,11040) - the given design is the residual.

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# 10491: 5-(25,9,3450)

• clan: 13-(32,16,690), 1 times reduced t, 7 times derived
• derived from supplementary of 6-(26,10,1395) (# 10489)

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# 10492: 5-(25,10,11040)

• clan: 13-(32,16,690), 1 times reduced t, 6 times derived, 1 times residual
• residual design of supplementary of 6-(26,10,1395) (# 10489)

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# 10493: 6-(26,10,1425)

• clan: 15-(32,16,5), 3 times reduced t, 6 times derived
• $ {\bf PGL(2,25)} \geq 1$ % -group 3 PGL 2 25 PGL_2_25
• Tran van Trung construction (left) for 6-(25,10,1140) (# 13442) : der= 6-(25,9,285) and res= 6-(25,10,1140) - the given design is the residual.

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# 10494: 5-(26,10,14364)

• clan: 15-(32,16,12), 4 times reduced t, 6 times derived
• supplementary design of 6-(26,10,1425) (# 10493) with respect to smaller t
• Tran van Trung construction (left) for 5-(25,10,10944) (# 10495) : der= 5-(25,9,3420) and res= 5-(25,10,10944) - the given design is the residual.
• derived from supplementary of 6-(27,11,5985) (# 13446)

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# 10495: 5-(25,10,10944)

• clan: 15-(32,16,12), 3 times reduced t, 6 times derived, 1 times residual
• residual design of supplementary of 6-(26,10,1425) (# 10493)
• Tran van Trung construction (left) for 5-(24,10,8208) (# 13298) : der= 5-(24,9,2736) and res= 5-(24,10,8208) - the given design is the residual.
• supplementary design of 6-(25,10,1140) (# 13442) with respect to smaller t
• derived from supplementary of 6-(26,11,4560) (# 13444)

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# 10496: 6-(26,10,1470)

• clan: 13-(32,16,294), 1 times reduced t, 6 times derived
• $ {\bf PGL(2,25)} \geq 1$ % -group 3 PGL 2 25 PGL_2_25
• derived from 7-(27,11,1470) (# 13950)

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# 10497: 5-(26,10,14175)

• clan: 13-(32,16,675), 2 times reduced t, 6 times derived
• supplementary design of 6-(26,10,1470) (# 10496) with respect to smaller t
• Tran van Trung construction (right) for 5-(25,9,3375) (# 10498) : der= 5-(25,9,3375) and res= 5-(25,10,10800) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,10800) (# 10499) : der= 5-(25,9,3375) and res= 5-(25,10,10800) - the given design is the residual.
• derived from supplementary of 6-(27,11,6174) (# 10666)
• derived from 6-(27,11,14175) (# 13951)
• design 6-(26,10,3375) (# 13952) with respect to smaller t

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# 10498: 5-(25,9,3375)

• clan: 13-(32,16,675), 1 times reduced t, 7 times derived
• derived from supplementary of 6-(26,10,1470) (# 10496)
• Tran van Trung construction (left) for 5-(24,9,2700) (# 13554) : der= 5-(24,8,675) and res= 5-(24,9,2700) - the given design is the residual.
• derived from 6-(26,10,3375) (# 13952)

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# 10499: 5-(25,10,10800)

• clan: 13-(32,16,675), 1 times reduced t, 6 times derived, 1 times residual
• residual design of supplementary of 6-(26,10,1470) (# 10496)
• derived from supplementary of 6-(26,11,4704) (# 13546)
• supplementary design of 6-(25,10,1176) (# 13547) with respect to smaller t
• derived from 6-(26,11,10800) (# 13549)
• design 6-(25,10,2700) (# 13550) with respect to smaller t
• Tran van Trung construction (right) for 5-(24,9,2700) (# 13554) : der= 5-(24,9,2700) and res= 5-(24,10,8100) - the given design is the derived.
• Tran van Trung construction (left) for 5-(24,10,8100) (# 13555) : der= 5-(24,9,2700) and res= 5-(24,10,8100) - the given design is the residual.
• residual design of 6-(26,10,3375) (# 13952)

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created: Fri Oct 23 11:12:28 CEST 2009