´

t designs with small t, id ge 4000

# 4000: 5-(24,12,22866)

clan: 5-(24,12,22866)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4001: 5-(24,12,22872)

clan: 5-(24,12,22872)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4002: 5-(24,12,22878)

clan: 5-(24,12,22878)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4003: 5-(24,12,22884)

clan: 5-(24,12,22884)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4004: 5-(24,12,22890)

clan: 5-(24,12,22890)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4005: 5-(24,12,22896)

clan: 5-(24,12,22896)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4006: 5-(24,12,22902)

clan: 5-(24,12,22902)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4007: 5-(24,12,22908)

clan: 5-(24,12,22908)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4008: 5-(24,12,22914)

clan: 7-(24,12,2814), 2 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4009: 5-(24,12,2292)

clan: 5-(24,12,2292)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4010: 5-(24,12,22920)

clan: 5-(24,12,22920)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4011: 5-(24,12,22926)

clan: 5-(24,12,22926)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4012: 5-(24,12,22932)

clan: 13-(32,16,441), 4 times derived, 4 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
residual design of 6-(25,12,12348) (# 10210)
derived from 6-(25,13,22932) (# 10223)
residual design of supplementary of 6-(25,12,14784) (# 10225)
derived from supplementary of 6-(25,13,27456) (# 10226)

# 4013: 5-(24,12,22938)

clan: 5-(24,12,22938)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4014: 5-(24,12,22944)

clan: 5-(24,12,22944)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4015: 5-(24,12,22950)

clan: 5-(24,12,22950)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4016: 5-(24,12,22956)

clan: 5-(24,12,22956)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4017: 5-(24,12,22962)

clan: 5-(24,12,22962)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4018: 5-(24,12,22968)

clan: 5-(24,12,22968)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4019: 5-(24,12,22974)

clan: 5-(24,12,22974)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4020: 5-(24,12,22980)

clan: 5-(24,12,22980)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4021: 5-(24,12,22986)

clan: 5-(24,12,22986)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4022: 5-(24,12,22992)

clan: 5-(24,12,22992)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4023: 5-(24,12,22998)

clan: 5-(24,12,22998)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4024: 5-(24,12,23004)

clan: 5-(24,12,23004)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4025: 5-(24,12,23010)

clan: 11-(30,15,1770), 3 times derived, 3 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4026: 5-(24,12,23016)

clan: 5-(24,12,23016)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4027: 5-(24,12,23022)

clan: 5-(24,12,23022)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4028: 5-(24,12,23028)

clan: 7-(24,12,2828), 2 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4029: 5-(24,12,23034)

clan: 5-(24,12,23034)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4030: 5-(24,12,23040)

clan: 5-(24,12,23040)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4031: 5-(24,12,23046)

clan: 5-(24,12,23046)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4032: 5-(24,12,23052)

clan: 5-(24,12,23052)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4033: 5-(24,12,23058)

clan: 5-(24,12,23058)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4034: 5-(24,12,23064)

clan: 5-(24,12,23064)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4035: 5-(24,12,23070)

clan: 5-(24,12,23070)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4036: 5-(24,12,23076)

clan: 5-(24,12,23076)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4037: 5-(24,12,23082)

clan: 5-(24,12,23082)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4038: 5-(24,12,23088)

clan: 13-(32,16,444), 4 times derived, 4 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4039: 5-(24,12,23094)

clan: 5-(24,12,23094)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4040: 5-(24,12,2310)

clan: 5-(24,12,2310)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4041: 5-(24,12,23100)

clan: 5-(24,12,23100)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4042: 5-(24,12,23106)

clan: 5-(24,12,23106)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4043: 5-(24,12,23112)

clan: 5-(24,12,23112)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4044: 5-(24,12,23118)

clan: 5-(24,12,23118)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4045: 5-(24,12,23124)

clan: 5-(24,12,23124)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4046: 5-(24,12,23130)

clan: 5-(24,12,23130)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4047: 5-(24,12,23136)

clan: 5-(24,12,23136)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4048: 5-(24,12,23142)

clan: 7-(24,12,2842), 2 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4049: 5-(24,12,23148)

clan: 5-(24,12,23148)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4050: 5-(24,12,23154)

clan: 5-(24,12,23154)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4051: 5-(24,12,23160)

clan: 5-(24,12,23160)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4052: 5-(24,12,23166)

clan: 11-(30,15,1782), 3 times derived, 3 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
residual design of 6-(25,12,12474) (# 10244)
derived from 6-(25,13,23166) (# 10257)
residual design of supplementary of 6-(25,12,14658) (# 10259)
derived from supplementary of 6-(25,13,27222) (# 10260)

# 4053: 5-(24,12,23172)

clan: 5-(24,12,23172)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4054: 5-(24,12,23178)

clan: 5-(24,12,23178)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4055: 5-(24,12,23184)

clan: 5-(24,12,23184)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4056: 5-(24,12,23190)

clan: 5-(24,12,23190)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4057: 5-(24,12,23196)

clan: 5-(24,12,23196)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4058: 5-(24,12,23202)

clan: 5-(24,12,23202)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4059: 5-(24,12,23208)

clan: 5-(24,12,23208)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4060: 5-(24,12,23214)

clan: 5-(24,12,23214)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4061: 5-(24,12,23220)

clan: 5-(24,12,23220)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4062: 5-(24,12,23226)

clan: 5-(24,12,23226)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4063: 5-(24,12,23232)

clan: 5-(24,12,23232)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4064: 5-(24,12,23238)

clan: 5-(24,12,23238)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4065: 5-(24,12,23244)

clan: 13-(32,16,447), 4 times derived, 4 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4066: 5-(24,12,23250)

clan: 5-(24,12,23250)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4067: 5-(24,12,23262)

clan: 5-(24,12,23262)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4068: 5-(24,12,23268)

clan: 5-(24,12,23268)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4069: 5-(24,12,23274)

clan: 5-(24,12,23274)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4070: 5-(24,12,23280)

clan: 5-(24,12,23280)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4071: 5-(24,12,23286)

clan: 5-(24,12,23286)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4072: 5-(24,12,23292)

clan: 5-(24,12,23292)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4073: 5-(24,12,23298)

clan: 5-(24,12,23298)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4074: 5-(24,12,23304)

clan: 5-(24,12,23304)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4075: 5-(24,12,23310)

clan: 5-(24,12,23310)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4076: 5-(24,12,23316)

clan: 5-(24,12,23316)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4077: 5-(24,12,23322)

clan: 11-(30,15,1794), 3 times derived, 3 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4078: 5-(24,12,23328)

clan: 5-(24,12,23328)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4079: 5-(24,12,23334)

clan: 5-(24,12,23334)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4080: 5-(24,12,23340)

clan: 5-(24,12,23340)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4081: 5-(24,12,23346)

clan: 5-(24,12,23346)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4082: 5-(24,12,23352)

clan: 5-(24,12,23352)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4083: 5-(24,12,23358)

clan: 5-(24,12,23358)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4084: 5-(24,12,23364)

clan: 5-(24,12,23364)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4085: 5-(24,12,23370)

clan: 7-(24,12,2870), 2 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4086: 5-(24,12,23376)

clan: 5-(24,12,23376)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4087: 5-(24,12,23382)

clan: 5-(24,12,23382)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4088: 5-(24,12,23388)

clan: 5-(24,12,23388)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4089: 5-(24,12,23394)

clan: 5-(24,12,23394)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4090: 5-(24,12,2340)

clan: 13-(32,16,45), 4 times derived, 4 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4091: 5-(25,12,3600)

clan: 13-(32,16,45), 1 times reduced t, 4 times derived, 3 times residual
Tran van Trung construction (left) for 5-(24,12,2340) (# 4090) : der= 5-(24,11,1260) and res= 5-(24,12,2340) - the given design is the residual.

# 4092: 5-(26,13,9450)

clan: 13-(32,16,45), 2 times reduced t, 3 times derived, 3 times residual
Tran van Trung construction with complementary design for 5-(25,12,3600) (# 4091)

# 4093: 5-(26,12,5400)

clan: 13-(32,16,45), 2 times reduced t, 4 times derived, 2 times residual
Tran van Trung construction (left) for 5-(25,12,3600) (# 4091) : der= 5-(25,11,1800) and res= 5-(25,12,3600) - the given design is the residual.

# 4094: 5-(27,13,14850)

clan: 13-(32,16,45), 3 times reduced t, 3 times derived, 2 times residual
Tran van Trung construction (left) for 5-(26,13,9450) (# 4092) : der= 5-(26,12,5400) and res= 5-(26,13,9450) - the given design is the residual.
Tran van Trung construction (right) for 5-(26,12,5400) (# 4093) : der= 5-(26,12,5400) and res= 5-(26,13,9450) - the given design is the derived.

# 4095: 5-(28,14,37950)

clan: 13-(32,16,45), 4 times reduced t, 2 times derived, 2 times residual
Tran van Trung construction with complementary design for 5-(27,13,14850) (# 4094)

# 4096: 5-(24,12,23400)

clan: 13-(32,16,450), 4 times derived, 4 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4097: 5-(24,12,23406)

clan: 5-(24,12,23406)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4098: 5-(24,12,23412)

clan: 5-(24,12,23412)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 4099: 5-(24,12,23418)

clan: 5-(24,12,23418)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

created: Fri Oct 23 11:10:00 CEST 2009

University of Bayreuth -