´

t designs with small t, id ge 5000

# 5000: 5-(24,12,8814)

clan: 11-(30,15,678), 3 times derived, 3 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5001: 5-(24,12,8820)

clan: 5-(24,12,8820)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5002: 5-(24,12,8826)

clan: 5-(24,12,8826)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5003: 5-(24,12,8832)

clan: 5-(24,12,8832)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5004: 5-(24,12,8838)

clan: 5-(24,12,8838)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5005: 5-(24,12,8844)

clan: 5-(24,12,8844)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5006: 5-(24,12,8850)

clan: 5-(24,12,8850)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5007: 5-(24,12,8856)

clan: 5-(24,12,8856)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5008: 5-(24,12,8862)

clan: 5-(24,12,8862)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5009: 5-(24,12,8868)

clan: 5-(24,12,8868)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5010: 5-(24,12,8874)

clan: 5-(24,12,8874)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5011: 5-(24,12,888)

clan: 5-(24,12,888)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5012: 5-(24,12,8880)

clan: 5-(24,12,8880)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5013: 5-(24,12,8886)

clan: 5-(24,12,8886)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5014: 5-(24,12,8898)

clan: 5-(24,12,8898)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5015: 5-(24,12,8904)

clan: 5-(24,12,8904)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5016: 5-(24,12,8910)

clan: 5-(24,12,8910)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5017: 5-(24,12,8916)

clan: 5-(24,12,8916)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5018: 5-(24,12,8922)

clan: 5-(24,12,8922)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5019: 5-(24,12,8928)

clan: 5-(24,12,8928)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5020: 5-(24,12,8934)

clan: 5-(24,12,8934)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5021: 5-(24,12,8940)

clan: 5-(24,12,8940)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5022: 5-(24,12,8946)

clan: 5-(24,12,8946)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5023: 5-(24,12,8952)

clan: 5-(24,12,8952)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5024: 5-(24,12,8958)

clan: 5-(24,12,8958)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5025: 5-(24,12,8964)

clan: 5-(24,12,8964)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5026: 5-(24,12,8970)

clan: 11-(30,15,690), 3 times derived, 3 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5027: 5-(24,12,8976)

clan: 5-(24,12,8976)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5028: 5-(24,12,8982)

clan: 5-(24,12,8982)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5029: 5-(24,12,8988)

clan: 5-(24,12,8988)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5030: 5-(24,12,8994)

clan: 5-(24,12,8994)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5031: 5-(24,12,9000)

clan: 5-(24,12,9000)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5032: 5-(24,12,9006)

clan: 7-(24,12,1106), 2 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5033: 5-(24,12,9012)

clan: 5-(24,12,9012)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5034: 5-(24,12,9018)

clan: 5-(24,12,9018)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5035: 5-(24,12,9024)

clan: 5-(24,12,9024)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5036: 5-(24,12,9030)

clan: 5-(24,12,9030)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5037: 5-(24,12,9036)

clan: 5-(24,12,9036)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5038: 5-(24,12,9042)

clan: 5-(24,12,9042)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5039: 5-(24,12,9048)

clan: 13-(32,16,174), 4 times derived, 4 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5040: 5-(24,12,9054)

clan: 5-(24,12,9054)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5041: 5-(24,12,906)

clan: 5-(24,12,906)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5042: 5-(24,12,9060)

clan: 5-(24,12,9060)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5043: 5-(24,12,9066)

clan: 5-(24,12,9066)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5044: 5-(24,12,9072)

clan: 5-(24,12,9072)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5045: 5-(24,12,9078)

clan: 5-(24,12,9078)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5046: 5-(24,12,9084)

clan: 5-(24,12,9084)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5047: 5-(24,12,9090)

clan: 5-(24,12,9090)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5048: 5-(24,12,9096)

clan: 5-(24,12,9096)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5049: 5-(24,12,9102)

clan: 5-(24,12,9102)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5050: 5-(24,12,9108)

clan: 5-(24,12,9108)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5051: 5-(24,12,9114)

clan: 5-(24,12,9114)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5052: 5-(24,12,9120)

clan: 7-(24,12,1120), 2 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5053: 5-(24,12,9126)

clan: 11-(30,15,702), 3 times derived, 3 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5054: 5-(24,12,9132)

clan: 5-(24,12,9132)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5055: 5-(24,12,9138)

clan: 5-(24,12,9138)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5056: 5-(24,12,9144)

clan: 5-(24,12,9144)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5057: 5-(24,12,9150)

clan: 5-(24,12,9150)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5058: 5-(24,12,9156)

clan: 5-(24,12,9156)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5059: 5-(24,12,9162)

clan: 5-(24,12,9162)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5060: 5-(24,12,9168)

clan: 5-(24,12,9168)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5061: 5-(24,12,9174)

clan: 5-(24,12,9174)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5062: 5-(24,12,9180)

clan: 5-(24,12,9180)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5063: 5-(24,12,9186)

clan: 5-(24,12,9186)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5064: 5-(24,12,9192)

clan: 5-(24,12,9192)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5065: 5-(24,12,9198)

clan: 5-(24,12,9198)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5066: 5-(24,12,9204)

clan: 13-(32,16,177), 4 times derived, 4 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5067: 5-(25,12,14160)

clan: 13-(32,16,177), 1 times reduced t, 4 times derived, 3 times residual
Tran van Trung construction (left) for 5-(24,12,9204) (# 5066) : der= 5-(24,11,4956) and res= 5-(24,12,9204) - the given design is the residual.

# 5068: 5-(26,13,37170)

clan: 13-(32,16,177), 2 times reduced t, 3 times derived, 3 times residual
Tran van Trung construction with complementary design for 5-(25,12,14160) (# 5067)

# 5069: 5-(26,12,21240)

clan: 13-(32,16,177), 2 times reduced t, 4 times derived, 2 times residual
Tran van Trung construction (left) for 5-(25,12,14160) (# 5067) : der= 5-(25,11,7080) and res= 5-(25,12,14160) - the given design is the residual.

# 5070: 5-(27,13,58410)

clan: 13-(32,16,177), 3 times reduced t, 3 times derived, 2 times residual
Tran van Trung construction (left) for 5-(26,13,37170) (# 5068) : der= 5-(26,12,21240) and res= 5-(26,13,37170) - the given design is the residual.
Tran van Trung construction (right) for 5-(26,12,21240) (# 5069) : der= 5-(26,12,21240) and res= 5-(26,13,37170) - the given design is the derived.

# 5071: 5-(28,14,149270)

clan: 13-(32,16,177), 4 times reduced t, 2 times derived, 2 times residual
Tran van Trung construction with complementary design for 5-(27,13,58410) (# 5070)

# 5072: 5-(24,12,9210)

clan: 5-(24,12,9210)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5073: 5-(24,12,9216)

clan: 5-(24,12,9216)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5074: 5-(24,12,9222)

clan: 5-(24,12,9222)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5075: 5-(24,12,9228)

clan: 5-(24,12,9228)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5076: 5-(24,12,9234)

clan: 7-(24,12,1134), 2 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5077: 5-(24,12,924)

clan: 5-(24,12,924)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5078: 5-(24,12,9240)

clan: 5-(24,12,9240)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5079: 5-(24,12,9246)

clan: 5-(24,12,9246)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5080: 5-(24,12,9252)

clan: 5-(24,12,9252)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5081: 5-(24,12,9258)

clan: 5-(24,12,9258)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5082: 5-(24,12,9264)

clan: 5-(24,12,9264)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5083: 5-(24,12,9270)

clan: 5-(24,12,9270)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5084: 5-(24,12,9276)

clan: 5-(24,12,9276)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5085: 5-(24,12,9282)

clan: 11-(30,15,714), 3 times derived, 3 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5086: 5-(24,12,9288)

clan: 5-(24,12,9288)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5087: 5-(24,12,9294)

clan: 5-(24,12,9294)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5088: 5-(24,12,9300)

clan: 5-(24,12,9300)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5089: 5-(24,12,9306)

clan: 5-(24,12,9306)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5090: 5-(24,12,9312)

clan: 5-(24,12,9312)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5091: 5-(24,12,9318)

clan: 5-(24,12,9318)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5092: 5-(24,12,9324)

clan: 5-(24,12,9324)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5093: 5-(24,12,9330)

clan: 5-(24,12,9330)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5094: 5-(24,12,9336)

clan: 5-(24,12,9336)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5095: 5-(24,12,9342)

clan: 5-(24,12,9342)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5096: 5-(24,12,9354)

clan: 5-(24,12,9354)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5097: 5-(24,12,9360)

clan: 13-(32,16,180), 4 times derived, 4 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5098: 5-(24,12,9366)

clan: 5-(24,12,9366)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 5099: 5-(24,12,9372)

clan: 5-(24,12,9372)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

created: Fri Oct 23 11:10:06 CEST 2009

University of Bayreuth -