t designs with small t, id ge 5100

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# 5100: 5-(24,12,9378)

• clan: 5-(24,12,9378)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5101: 5-(24,12,9384)

• clan: 5-(24,12,9384)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5102: 5-(24,12,9390)

• clan: 5-(24,12,9390)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5103: 5-(24,12,9396)

• clan: 5-(24,12,9396)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5104: 5-(24,12,9402)

• clan: 5-(24,12,9402)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5105: 5-(24,12,9408)

• clan: 5-(24,12,9408)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5106: 5-(24,12,9414)

• clan: 5-(24,12,9414)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5107: 5-(24,12,9420)

• clan: 5-(24,12,9420)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5108: 5-(24,12,9426)

• clan: 5-(24,12,9426)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5109: 5-(24,12,9432)

• clan: 5-(24,12,9432)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5110: 5-(24,12,9438)

• clan: 11-(30,15,726), 3 times derived, 3 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5111: 5-(25,12,14520)

• clan: 11-(30,15,726), 1 times reduced t, 3 times derived, 2 times residual
• Tran van Trung construction (left) for 5-(24,12,9438) (# 5110) : der= 5-(24,11,5082) and res= 5-(24,12,9438) - the given design is the residual.

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# 5112: 5-(26,13,38115)

• clan: 11-(30,15,726), 2 times reduced t, 2 times derived, 2 times residual
• Tran van Trung construction with complementary design for 5-(25,12,14520) (# 5111)

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# 5113: 5-(26,12,21780)

• clan: 11-(30,15,726), 2 times reduced t, 3 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(25,12,14520) (# 5111) : der= 5-(25,11,7260) and res= 5-(25,12,14520) - the given design is the residual.

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# 5114: 5-(27,13,59895)

• clan: 11-(30,15,726), 3 times reduced t, 2 times derived, 1 times residual
• Tran van Trung construction (left) for 5-(26,13,38115) (# 5112) : der= 5-(26,12,21780) and res= 5-(26,13,38115) - the given design is the residual.
• Tran van Trung construction (right) for 5-(26,12,21780) (# 5113) : der= 5-(26,12,21780) and res= 5-(26,13,38115) - the given design is the derived.

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# 5115: 5-(28,14,153065)

• clan: 11-(30,15,726), 4 times reduced t, 1 times derived, 1 times residual
• Tran van Trung construction with complementary design for 5-(27,13,59895) (# 5114)

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# 5116: 5-(24,12,9444)

• clan: 5-(24,12,9444)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5117: 5-(24,12,9450)

• clan: 5-(24,12,9450)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5118: 5-(24,12,9456)

• clan: 5-(24,12,9456)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5119: 5-(24,12,9462)

• clan: 7-(24,12,1162), 2 times reduced t
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5120: 5-(24,12,9468)

• clan: 5-(24,12,9468)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5121: 5-(24,12,9474)

• clan: 5-(24,12,9474)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5122: 5-(24,12,9480)

• clan: 5-(24,12,9480)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5123: 5-(24,12,9486)

• clan: 5-(24,12,9486)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5124: 5-(24,12,9492)

• clan: 5-(24,12,9492)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5125: 5-(24,12,9498)

• clan: 5-(24,12,9498)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5126: 5-(24,12,9504)

• clan: 5-(24,12,9504)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5127: 5-(24,12,9510)

• clan: 5-(24,12,9510)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5128: 5-(24,12,9516)

• clan: 13-(32,16,183), 4 times derived, 4 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5129: 5-(24,12,9522)

• clan: 5-(24,12,9522)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5130: 5-(24,12,9528)

• clan: 5-(24,12,9528)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5131: 5-(24,12,9534)

• clan: 5-(24,12,9534)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5132: 5-(24,12,954)

• clan: 5-(24,12,954)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5133: 5-(24,12,9540)

• clan: 5-(24,12,9540)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5134: 5-(24,12,9546)

• clan: 5-(24,12,9546)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5135: 5-(24,12,9552)

• clan: 5-(24,12,9552)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5136: 5-(24,12,9558)

• clan: 5-(24,12,9558)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5137: 5-(24,12,9564)

• clan: 5-(24,12,9564)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5138: 5-(24,12,9570)

• clan: 5-(24,12,9570)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5139: 5-(24,12,9582)

• clan: 5-(24,12,9582)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5140: 5-(24,12,9588)

• clan: 5-(24,12,9588)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 5141: 5-(24,12,9594)

• clan: 11-(30,15,738), 3 times derived, 3 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5142: 5-(24,12,96)

• clan: 5-(24,12,96)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5143: 5-(24,12,9600)

• clan: 5-(24,12,9600)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5144: 5-(24,12,9606)

• clan: 5-(24,12,9606)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5145: 5-(24,12,9612)

• clan: 5-(24,12,9612)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5146: 5-(24,12,9618)

• clan: 5-(24,12,9618)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5147: 5-(24,12,9624)

• clan: 5-(24,12,9624)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5148: 5-(24,12,9630)

• clan: 5-(24,12,9630)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5149: 5-(24,12,9636)

• clan: 5-(24,12,9636)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5150: 5-(24,12,9642)

• clan: 5-(24,12,9642)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5151: 5-(24,12,9648)

• clan: 5-(24,12,9648)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5152: 5-(24,12,9654)

• clan: 5-(24,12,9654)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5153: 5-(24,12,9660)

• clan: 5-(24,12,9660)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5154: 5-(24,12,9666)

• clan: 5-(24,12,9666)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5155: 5-(24,12,9672)

• clan: 13-(32,16,186), 4 times derived, 4 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5156: 5-(24,12,9678)

• clan: 5-(24,12,9678)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5157: 5-(24,12,9684)

• clan: 5-(24,12,9684)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5158: 5-(24,12,9690)

• clan: 8-(24,12,350), 3 times reduced t
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• Tran van Trung construction with complementary design for 5-(23,11,3570) (# 8691)
• design 6-(24,12,3570) (# 8728) with respect to smaller t
• Tran van Trung construction (left) for 5-(23,12,6120) (# 8730) : der= 5-(23,11,3570) and res= 5-(23,12,6120) - the given design is the residual.
• supplementary design of 6-(24,12,14994) (# 8733) with respect to smaller t

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# 5159: 5-(24,12,9696)

• clan: 5-(24,12,9696)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5160: 5-(24,12,9702)

• clan: 5-(24,12,9702)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5161: 5-(24,12,9708)

• clan: 5-(24,12,9708)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5162: 5-(24,12,9714)

• clan: 5-(24,12,9714)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5163: 5-(24,12,972)

• clan: 5-(24,12,972)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5164: 5-(24,12,9720)

• clan: 5-(24,12,9720)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5165: 5-(24,12,9726)

• clan: 5-(24,12,9726)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5166: 5-(24,12,9732)

• clan: 5-(24,12,9732)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5167: 5-(24,12,9738)

• clan: 5-(24,12,9738)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5168: 5-(24,12,9744)

• clan: 5-(24,12,9744)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 5169: 5-(24,12,9750)

• clan: 11-(30,15,750), 3 times derived, 3 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5170: 5-(24,12,9756)

• clan: 5-(24,12,9756)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5171: 5-(24,12,9762)

• clan: 5-(24,12,9762)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5172: 5-(24,12,9768)

• clan: 5-(24,12,9768)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5173: 5-(24,12,9774)

• clan: 5-(24,12,9774)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5174: 5-(24,12,9780)

• clan: 5-(24,12,9780)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5175: 5-(24,12,9786)

• clan: 5-(24,12,9786)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5176: 5-(24,12,9792)

• clan: 5-(24,12,9792)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5177: 5-(24,12,9798)

• clan: 5-(24,12,9798)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5178: 5-(24,12,9804)

• clan: 7-(24,12,1204), 2 times reduced t
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5179: 5-(24,12,9810)

• clan: 5-(24,12,9810)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5180: 5-(24,12,9816)

• clan: 5-(24,12,9816)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5181: 5-(24,12,9822)

• clan: 5-(24,12,9822)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 5182: 5-(24,12,9828)

• clan: 13-(32,16,189), 4 times derived, 4 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5183: 5-(24,12,9834)

• clan: 5-(24,12,9834)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 5184: 5-(24,12,9840)

• clan: 5-(24,12,9840)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5185: 5-(24,12,9846)

• clan: 5-(24,12,9846)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5186: 5-(24,12,9852)

• clan: 5-(24,12,9852)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5187: 5-(24,12,9858)

• clan: 5-(24,12,9858)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

# 5188: 5-(24,12,9864)

• clan: 5-(24,12,9864)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5189: 5-(24,12,9870)

• clan: 5-(24,12,9870)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5190: 5-(24,12,9876)

• clan: 5-(24,12,9876)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5191: 5-(24,12,9882)

• clan: 5-(24,12,9882)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5192: 5-(24,12,9888)

• clan: 5-(24,12,9888)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5193: 5-(24,12,9894)

• clan: 5-(24,12,9894)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5194: 5-(24,12,990)

• clan: 5-(24,12,990)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5195: 5-(24,12,9900)

• clan: 5-(24,12,9900)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5196: 5-(24,12,9906)

• clan: 11-(30,15,762), 3 times derived, 3 times residual
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5197: 5-(24,12,9912)

• clan: 5-(24,12,9912)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

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# 5198: 5-(24,12,9918)

• clan: 7-(24,12,1218), 2 times reduced t
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
• Tran van Trung construction with complementary design for 5-(23,11,3654) (# 8901)
• design 6-(24,12,3654) (# 8903) with respect to smaller t
• Tran van Trung construction (left) for 5-(23,12,6264) (# 8908) : der= 5-(23,11,3654) and res= 5-(23,12,6264) - the given design is the residual.
• supplementary design of 6-(24,12,14910) (# 8912) with respect to smaller t

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# 5199: 5-(24,12,9924)

• clan: 5-(24,12,9924)
• $ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

---

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created: Fri Oct 23 11:10:07 CEST 2009