t designs with small t, id ge 7100

---

# 7100: 5-(24,9,420)

• clan: 13-(32,16,105), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
• residual design of 6-(25,9,105) (# 10414)

---

# 7101: 5-(25,9,525)

• clan: 13-(32,16,105), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,420) (# 7100) : der= 5-(24,8,105) and res= 5-(24,9,420) - the given design is the residual.
• design 6-(25,9,105) (# 10414) with respect to smaller t

---

# 7102: 5-(25,10,1680)

• clan: 13-(32,16,105), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,420) (# 7100) : der= 5-(24,9,420) and res= 5-(24,10,1260) - the given design is the derived.

---

# 7103: 5-(26,10,2205)

• clan: 13-(32,16,105), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,525) (# 7101) : der= 5-(25,9,525) and res= 5-(25,10,1680) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,1680) (# 7102) : der= 5-(25,9,525) and res= 5-(25,10,1680) - the given design is the residual.

---

# 7104: 5-(24,9,426)

• clan: 11-(30,15,426), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 7105: 5-(25,10,1704)

• clan: 11-(30,15,426), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,426) (# 7104) : der= 5-(24,9,426) and res= 5-(24,10,1278) - the given design is the derived.

---

# 7106: 5-(24,9,432)

• clan: 13-(32,16,108), 7 times derived, 1 times residual
• $PGL(2,23)$ (>1 isomorphism types)

---

# 7107: 5-(25,9,540)

• clan: 13-(32,16,108), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,432) (# 7106) : der= 5-(24,8,108) and res= 5-(24,9,432) - the given design is the residual.
• derived from 6-(26,10,540) (# 14363)
• derived from supplementary of 6-(26,10,4305) (# 14366)

---

# 7108: 5-(25,10,1728)

• clan: 13-(32,16,108), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,432) (# 7106) : der= 5-(24,9,432) and res= 5-(24,10,1296) - the given design is the derived.
• residual design of 6-(26,10,540) (# 14363)
• derived from 6-(26,11,1728) (# 14364)
• residual design of supplementary of 6-(26,10,4305) (# 14366)
• derived from supplementary of 6-(26,11,13776) (# 14367)

---

# 7109: 5-(26,10,2268)

• clan: 13-(32,16,108), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,540) (# 7107) : der= 5-(25,9,540) and res= 5-(25,10,1728) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,1728) (# 7108) : der= 5-(25,9,540) and res= 5-(25,10,1728) - the given design is the residual.
• derived from 6-(27,11,2268) (# 10627)
• design 6-(26,10,540) (# 14363) with respect to smaller t
• derived from supplementary of 6-(27,11,18081) (# 14365)
• supplementary design of 6-(26,10,4305) (# 14366) with respect to smaller t

---

# 7110: 5-(24,9,438)

• clan: 11-(30,15,438), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 7111: 5-(25,10,1752)

• clan: 11-(30,15,438), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,438) (# 7110) : der= 5-(24,9,438) and res= 5-(24,10,1314) - the given design is the derived.

---

# 7112: 5-(24,9,444)

• clan: 13-(32,16,111), 7 times derived, 1 times residual
• $PGL(2,23)$ (>1 isomorphism types)

---

# 7113: 5-(25,9,555)

• clan: 13-(32,16,111), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,444) (# 7112) : der= 5-(24,8,111) and res= 5-(24,9,444) - the given design is the residual.

---

# 7114: 5-(25,10,1776)

• clan: 13-(32,16,111), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,444) (# 7112) : der= 5-(24,9,444) and res= 5-(24,10,1332) - the given design is the derived.

---

# 7115: 5-(26,10,2331)

• clan: 13-(32,16,111), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,555) (# 7113) : der= 5-(25,9,555) and res= 5-(25,10,1776) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,1776) (# 7114) : der= 5-(25,9,555) and res= 5-(25,10,1776) - the given design is the residual.

---

# 7116: 5-(26,11,6216)

• clan: 13-(32,16,111), 2 times reduced t, 5 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(25,10,1776) (# 7114) : der= 5-(25,10,1776) and res= 5-(25,11,4440) - the given design is the derived.

---

# 7117: 5-(27,11,8547)

• clan: 13-(32,16,111), 3 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(26,10,2331) (# 7115) : der= 5-(26,10,2331) and res= 5-(26,11,6216) - the given design is the derived.
• Tran van Trung construction (left) for 5-(26,11,6216) (# 7116) : der= 5-(26,10,2331) and res= 5-(26,11,6216) - the given design is the residual.

---

# 7118: 5-(27,12,19536)

• clan: 13-(32,16,111), 3 times reduced t, 4 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(26,11,6216) (# 7116) : der= 5-(26,11,6216) and res= 5-(26,12,13320) - the given design is the derived.

---

# 7119: 5-(28,12,28083)

• clan: 13-(32,16,111), 4 times reduced t, 4 times derived
• Tran van Trung construction (right) for 5-(27,11,8547) (# 7117) : der= 5-(27,11,8547) and res= 5-(27,12,19536) - the given design is the derived.
• Tran van Trung construction (left) for 5-(27,12,19536) (# 7118) : der= 5-(27,11,8547) and res= 5-(27,12,19536) - the given design is the residual.

---

# 7120: 5-(28,13,56166)

• clan: 13-(32,16,111), 4 times reduced t, 3 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(27,12,19536) (# 7118) : der= 5-(27,12,19536) and res= 5-(27,13,36630) - the given design is the derived.

---

# 7121: 5-(29,13,84249)

• clan: 13-(32,16,111), 5 times reduced t, 3 times derived
• Tran van Trung construction (right) for 5-(28,12,28083) (# 7119) : der= 5-(28,12,28083) and res= 5-(28,13,56166) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,13,56166) (# 7120) : der= 5-(28,12,28083) and res= 5-(28,13,56166) - the given design is the residual.

---

# 7122: 5-(29,14,149776)

• clan: 13-(32,16,111), 5 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(28,13,56166) (# 7120) : der= 5-(28,13,56166) and res= 5-(28,14,93610) - the given design is the derived.

---

# 7123: 5-(30,14,234025)

• clan: 13-(32,16,111), 6 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(29,13,84249) (# 7121) : der= 5-(29,13,84249) and res= 5-(29,14,149776) - the given design is the derived.
• Tran van Trung construction (left) for 5-(29,14,149776) (# 7122) : der= 5-(29,13,84249) and res= 5-(29,14,149776) - the given design is the residual.

---

# 7124: 5-(30,15,374440)

• clan: 13-(32,16,111), 6 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 5-(29,14,149776) (# 7122)

---

# 7125: 5-(31,15,608465)

• clan: 13-(32,16,111), 7 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(30,14,234025) (# 7123) : der= 5-(30,14,234025) and res= 5-(30,15,374440) - the given design is the derived.
• Tran van Trung construction (left) for 5-(30,15,374440) (# 7124) : der= 5-(30,14,234025) and res= 5-(30,15,374440) - the given design is the residual.

---

# 7126: 5-(32,16,1493505)

• clan: 13-(32,16,111), 8 times reduced t
• Tran van Trung construction with complementary design for 5-(31,15,608465) (# 7125)

---

# 7127: 5-(24,9,450)

• clan: 11-(30,15,450), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 7128: 5-(25,10,1800)

• clan: 11-(30,15,450), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,450) (# 7127) : der= 5-(24,9,450) and res= 5-(24,10,1350) - the given design is the derived.

---

# 7129: 5-(24,9,462)

• clan: 11-(30,15,462), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 7130: 5-(25,10,1848)

• clan: 11-(30,15,462), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,462) (# 7129) : der= 5-(24,9,462) and res= 5-(24,10,1386) - the given design is the derived.

---

# 7131: 5-(26,11,6468)

• clan: 11-(30,15,462), 2 times reduced t, 4 times derived
• Tran van Trung construction (right) for 5-(25,10,1848) (# 7130) : der= 5-(25,10,1848) and res= 5-(25,11,4620) - the given design is the derived.

---

# 7132: 5-(27,12,20328)

• clan: 11-(30,15,462), 3 times reduced t, 3 times derived
• Tran van Trung construction (right) for 5-(26,11,6468) (# 7131) : der= 5-(26,11,6468) and res= 5-(26,12,13860) - the given design is the derived.

---

# 7133: 5-(28,13,58443)

• clan: 11-(30,15,462), 4 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(27,12,20328) (# 7132) : der= 5-(27,12,20328) and res= 5-(27,13,38115) - the given design is the derived.

---

# 7134: 5-(29,14,155848)

• clan: 11-(30,15,462), 5 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(28,13,58443) (# 7133) : der= 5-(28,13,58443) and res= 5-(28,14,97405) - the given design is the derived.

---

# 7135: 5-(30,15,389620)

• clan: 11-(30,15,462), 6 times reduced t
• Tran van Trung construction with complementary design for 5-(29,14,155848) (# 7134)

---

# 7136: 5-(24,9,468)

• clan: 13-(32,16,117), 7 times derived, 1 times residual
• $PGL(2,23)$ (>1 isomorphism types)

---

# 7137: 5-(25,9,585)

• clan: 13-(32,16,117), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,468) (# 7136) : der= 5-(24,8,117) and res= 5-(24,9,468) - the given design is the residual.

---

# 7138: 5-(25,10,1872)

• clan: 13-(32,16,117), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,468) (# 7136) : der= 5-(24,9,468) and res= 5-(24,10,1404) - the given design is the derived.

---

# 7139: 5-(26,10,2457)

• clan: 13-(32,16,117), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,585) (# 7137) : der= 5-(25,9,585) and res= 5-(25,10,1872) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,1872) (# 7138) : der= 5-(25,9,585) and res= 5-(25,10,1872) - the given design is the residual.

---

# 7140: 5-(24,9,474)

• clan: 11-(30,15,474), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 7141: 5-(25,10,1896)

• clan: 11-(30,15,474), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,474) (# 7140) : der= 5-(24,9,474) and res= 5-(24,10,1422) - the given design is the derived.
• derived from 6-(26,11,1896) (# 14537)
• derived from supplementary of 6-(26,11,13608) (# 14540)

---

# 7142: 5-(24,9,48)

• clan: 13-(32,16,12), 7 times derived, 1 times residual
• $PSL(2,23)$ (12 isomorphism types)

---

# 7143: 5-(25,9,60)

• clan: 13-(32,16,12), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,48) (# 7142) : der= 5-(24,8,12) and res= 5-(24,9,48) - the given design is the residual.

---

# 7144: 5-(25,10,192)

• clan: 13-(32,16,12), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,48) (# 7142) : der= 5-(24,9,48) and res= 5-(24,10,144) - the given design is the derived.

---

# 7145: 5-(26,10,252)

• clan: 13-(32,16,12), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,60) (# 7143) : der= 5-(25,9,60) and res= 5-(25,10,192) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,192) (# 7144) : der= 5-(25,9,60) and res= 5-(25,10,192) - the given design is the residual.

---

# 7146: 5-(26,11,672)

• clan: 13-(32,16,12), 2 times reduced t, 5 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(25,10,192) (# 7144) : der= 5-(25,10,192) and res= 5-(25,11,480) - the given design is the derived.

---

# 7147: 5-(27,11,924)

• clan: 13-(32,16,12), 3 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(26,10,252) (# 7145) : der= 5-(26,10,252) and res= 5-(26,11,672) - the given design is the derived.
• Tran van Trung construction (left) for 5-(26,11,672) (# 7146) : der= 5-(26,10,252) and res= 5-(26,11,672) - the given design is the residual.

---

# 7148: 5-(27,12,2112)

• clan: 13-(32,16,12), 3 times reduced t, 4 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(26,11,672) (# 7146) : der= 5-(26,11,672) and res= 5-(26,12,1440) - the given design is the derived.

---

# 7149: 5-(28,12,3036)

• clan: 13-(32,16,12), 4 times reduced t, 4 times derived
• Tran van Trung construction (right) for 5-(27,11,924) (# 7147) : der= 5-(27,11,924) and res= 5-(27,12,2112) - the given design is the derived.
• Tran van Trung construction (left) for 5-(27,12,2112) (# 7148) : der= 5-(27,11,924) and res= 5-(27,12,2112) - the given design is the residual.

---

# 7150: 5-(28,13,6072)

• clan: 13-(32,16,12), 4 times reduced t, 3 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(27,12,2112) (# 7148) : der= 5-(27,12,2112) and res= 5-(27,13,3960) - the given design is the derived.

---

# 7151: 5-(29,13,9108)

• clan: 13-(32,16,12), 5 times reduced t, 3 times derived
• Tran van Trung construction (right) for 5-(28,12,3036) (# 7149) : der= 5-(28,12,3036) and res= 5-(28,13,6072) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,13,6072) (# 7150) : der= 5-(28,12,3036) and res= 5-(28,13,6072) - the given design is the residual.

---

# 7152: 5-(29,14,16192)

• clan: 13-(32,16,12), 5 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(28,13,6072) (# 7150) : der= 5-(28,13,6072) and res= 5-(28,14,10120) - the given design is the derived.

---

# 7153: 5-(30,14,25300)

• clan: 13-(32,16,12), 6 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(29,13,9108) (# 7151) : der= 5-(29,13,9108) and res= 5-(29,14,16192) - the given design is the derived.
• Tran van Trung construction (left) for 5-(29,14,16192) (# 7152) : der= 5-(29,13,9108) and res= 5-(29,14,16192) - the given design is the residual.

---

# 7154: 5-(30,15,40480)

• clan: 13-(32,16,12), 6 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 5-(29,14,16192) (# 7152)

---

# 7155: 5-(31,15,65780)

• clan: 13-(32,16,12), 7 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(30,14,25300) (# 7153) : der= 5-(30,14,25300) and res= 5-(30,15,40480) - the given design is the derived.
• Tran van Trung construction (left) for 5-(30,15,40480) (# 7154) : der= 5-(30,14,25300) and res= 5-(30,15,40480) - the given design is the residual.

---

# 7156: 5-(32,16,161460)

• clan: 13-(32,16,12), 8 times reduced t
• Tran van Trung construction with complementary design for 5-(31,15,65780) (# 7155)

---

# 7157: 5-(24,9,480)

• clan: 13-(32,16,120), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 7158: 5-(25,9,600)

• clan: 13-(32,16,120), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,480) (# 7157) : der= 5-(24,8,120) and res= 5-(24,9,480) - the given design is the residual.

---

# 7159: 5-(25,10,1920)

• clan: 13-(32,16,120), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,480) (# 7157) : der= 5-(24,9,480) and res= 5-(24,10,1440) - the given design is the derived.

---

# 7160: 5-(26,10,2520)

• clan: 13-(32,16,120), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,600) (# 7158) : der= 5-(25,9,600) and res= 5-(25,10,1920) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,1920) (# 7159) : der= 5-(25,9,600) and res= 5-(25,10,1920) - the given design is the residual.

---

# 7161: 5-(24,9,486)

• clan: 11-(30,15,486), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 7162: 5-(25,10,1944)

• clan: 11-(30,15,486), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,486) (# 7161) : der= 5-(24,9,486) and res= 5-(24,10,1458) - the given design is the derived.
• derived from 6-(26,11,1944) (# 14560)
• derived from supplementary of 6-(26,11,13560) (# 14563)

---

# 7163: 5-(24,9,492)

• clan: 13-(32,16,123), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 7164: 5-(25,9,615)

• clan: 13-(32,16,123), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,492) (# 7163) : der= 5-(24,8,123) and res= 5-(24,9,492) - the given design is the residual.

---

# 7165: 5-(25,10,1968)

• clan: 13-(32,16,123), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,492) (# 7163) : der= 5-(24,9,492) and res= 5-(24,10,1476) - the given design is the derived.

---

# 7166: 5-(26,10,2583)

• clan: 13-(32,16,123), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,615) (# 7164) : der= 5-(25,9,615) and res= 5-(25,10,1968) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,1968) (# 7165) : der= 5-(25,9,615) and res= 5-(25,10,1968) - the given design is the residual.

---

# 7167: 5-(24,9,498)

• clan: 11-(30,15,498), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 7168: 5-(25,10,1992)

• clan: 11-(30,15,498), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,498) (# 7167) : der= 5-(24,9,498) and res= 5-(24,10,1494) - the given design is the derived.

---

# 7169: 5-(24,9,504)

• clan: 13-(32,16,126), 7 times derived, 1 times residual
• $PGL(2,23)$ (>1 isomorphism types)

---

# 7170: 5-(25,9,630)

• clan: 13-(32,16,126), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,504) (# 7169) : der= 5-(24,8,126) and res= 5-(24,9,504) - the given design is the residual.

---

# 7171: 5-(25,10,2016)

• clan: 13-(32,16,126), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,504) (# 7169) : der= 5-(24,9,504) and res= 5-(24,10,1512) - the given design is the derived.

---

# 7172: 5-(26,10,2646)

• clan: 13-(32,16,126), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,630) (# 7170) : der= 5-(25,9,630) and res= 5-(25,10,2016) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,2016) (# 7171) : der= 5-(25,9,630) and res= 5-(25,10,2016) - the given design is the residual.
• derived from 6-(27,11,2646) (# 10633)

---

# 7173: 5-(24,9,510)

• clan: 11-(30,15,510), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

---

# 7174: 5-(25,10,2040)

• clan: 11-(30,15,510), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,510) (# 7173) : der= 5-(24,9,510) and res= 5-(24,10,1530) - the given design is the derived.

---

# 7175: 5-(26,11,7140)

• clan: 11-(30,15,510), 2 times reduced t, 4 times derived
• Tran van Trung construction (right) for 5-(25,10,2040) (# 7174) : der= 5-(25,10,2040) and res= 5-(25,11,5100) - the given design is the derived.

---

# 7176: 5-(27,12,22440)

• clan: 11-(30,15,510), 3 times reduced t, 3 times derived
• Tran van Trung construction (right) for 5-(26,11,7140) (# 7175) : der= 5-(26,11,7140) and res= 5-(26,12,15300) - the given design is the derived.

---

# 7177: 5-(28,13,64515)

• clan: 11-(30,15,510), 4 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(27,12,22440) (# 7176) : der= 5-(27,12,22440) and res= 5-(27,13,42075) - the given design is the derived.

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# 7178: 5-(29,14,172040)

• clan: 11-(30,15,510), 5 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(28,13,64515) (# 7177) : der= 5-(28,13,64515) and res= 5-(28,14,107525) - the given design is the derived.

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# 7179: 5-(30,15,430100)

• clan: 11-(30,15,510), 6 times reduced t
• Tran van Trung construction with complementary design for 5-(29,14,172040) (# 7178)

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# 7180: 5-(24,9,516)

• clan: 13-(32,16,129), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

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# 7181: 5-(25,9,645)

• clan: 13-(32,16,129), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,516) (# 7180) : der= 5-(24,8,129) and res= 5-(24,9,516) - the given design is the residual.

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# 7182: 5-(25,10,2064)

• clan: 13-(32,16,129), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,516) (# 7180) : der= 5-(24,9,516) and res= 5-(24,10,1548) - the given design is the derived.

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# 7183: 5-(26,10,2709)

• clan: 13-(32,16,129), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,645) (# 7181) : der= 5-(25,9,645) and res= 5-(25,10,2064) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,2064) (# 7182) : der= 5-(25,9,645) and res= 5-(25,10,2064) - the given design is the residual.

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# 7184: 5-(24,9,522)

• clan: 11-(30,15,522), 6 times derived
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

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# 7185: 5-(25,10,2088)

• clan: 11-(30,15,522), 1 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(24,9,522) (# 7184) : der= 5-(24,9,522) and res= 5-(24,10,1566) - the given design is the derived.

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# 7186: 5-(24,9,528)

• clan: 13-(32,16,132), 7 times derived, 1 times residual
• $ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

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# 7187: 5-(25,9,660)

• clan: 13-(32,16,132), 1 times reduced t, 7 times derived
• Tran van Trung construction (left) for 5-(24,9,528) (# 7186) : der= 5-(24,8,132) and res= 5-(24,9,528) - the given design is the residual.

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# 7188: 5-(25,10,2112)

• clan: 13-(32,16,132), 1 times reduced t, 6 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(24,9,528) (# 7186) : der= 5-(24,9,528) and res= 5-(24,10,1584) - the given design is the derived.

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# 7189: 5-(26,10,2772)

• clan: 13-(32,16,132), 2 times reduced t, 6 times derived
• Tran van Trung construction (right) for 5-(25,9,660) (# 7187) : der= 5-(25,9,660) and res= 5-(25,10,2112) - the given design is the derived.
• Tran van Trung construction (left) for 5-(25,10,2112) (# 7188) : der= 5-(25,9,660) and res= 5-(25,10,2112) - the given design is the residual.

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# 7190: 5-(26,11,7392)

• clan: 13-(32,16,132), 2 times reduced t, 5 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(25,10,2112) (# 7188) : der= 5-(25,10,2112) and res= 5-(25,11,5280) - the given design is the derived.

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# 7191: 5-(27,11,10164)

• clan: 13-(32,16,132), 3 times reduced t, 5 times derived
• Tran van Trung construction (right) for 5-(26,10,2772) (# 7189) : der= 5-(26,10,2772) and res= 5-(26,11,7392) - the given design is the derived.
• Tran van Trung construction (left) for 5-(26,11,7392) (# 7190) : der= 5-(26,10,2772) and res= 5-(26,11,7392) - the given design is the residual.

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# 7192: 5-(27,12,23232)

• clan: 13-(32,16,132), 3 times reduced t, 4 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(26,11,7392) (# 7190) : der= 5-(26,11,7392) and res= 5-(26,12,15840) - the given design is the derived.

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# 7193: 5-(28,12,33396)

• clan: 13-(32,16,132), 4 times reduced t, 4 times derived
• Tran van Trung construction (right) for 5-(27,11,10164) (# 7191) : der= 5-(27,11,10164) and res= 5-(27,12,23232) - the given design is the derived.
• Tran van Trung construction (left) for 5-(27,12,23232) (# 7192) : der= 5-(27,11,10164) and res= 5-(27,12,23232) - the given design is the residual.

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# 7194: 5-(28,13,66792)

• clan: 13-(32,16,132), 4 times reduced t, 3 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(27,12,23232) (# 7192) : der= 5-(27,12,23232) and res= 5-(27,13,43560) - the given design is the derived.

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# 7195: 5-(29,13,100188)

• clan: 13-(32,16,132), 5 times reduced t, 3 times derived
• Tran van Trung construction (right) for 5-(28,12,33396) (# 7193) : der= 5-(28,12,33396) and res= 5-(28,13,66792) - the given design is the derived.
• Tran van Trung construction (left) for 5-(28,13,66792) (# 7194) : der= 5-(28,12,33396) and res= 5-(28,13,66792) - the given design is the residual.

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# 7196: 5-(29,14,178112)

• clan: 13-(32,16,132), 5 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (right) for 5-(28,13,66792) (# 7194) : der= 5-(28,13,66792) and res= 5-(28,14,111320) - the given design is the derived.

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# 7197: 5-(30,14,278300)

• clan: 13-(32,16,132), 6 times reduced t, 2 times derived
• Tran van Trung construction (right) for 5-(29,13,100188) (# 7195) : der= 5-(29,13,100188) and res= 5-(29,14,178112) - the given design is the derived.
• Tran van Trung construction (left) for 5-(29,14,178112) (# 7196) : der= 5-(29,13,100188) and res= 5-(29,14,178112) - the given design is the residual.

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# 7198: 5-(30,15,445280)

• clan: 13-(32,16,132), 6 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 5-(29,14,178112) (# 7196)

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# 7199: 5-(31,15,723580)

• clan: 13-(32,16,132), 7 times reduced t, 1 times derived
• Tran van Trung construction (right) for 5-(30,14,278300) (# 7197) : der= 5-(30,14,278300) and res= 5-(30,15,445280) - the given design is the derived.
• Tran van Trung construction (left) for 5-(30,15,445280) (# 7198) : der= 5-(30,14,278300) and res= 5-(30,15,445280) - the given design is the residual.

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created: Fri Oct 23 11:10:27 CEST 2009