´

t designs with small t, id ge 3300

# 3300: 5-(24,12,18864)

clan: 5-(24,12,18864)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3301: 5-(24,12,18870)

clan: 5-(24,12,18870)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3302: 5-(24,12,18876)

clan: 13-(32,16,363), 4 times derived, 4 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
residual design of 6-(25,12,10164) (# 9996)
derived from 6-(25,13,18876) (# 10005)
residual design of supplementary of 6-(25,12,16968) (# 10007)
derived from supplementary of 6-(25,13,31512) (# 10008)

# 3303: 5-(25,12,29040)

clan: 13-(32,16,363), 1 times reduced t, 4 times derived, 3 times residual
Tran van Trung construction (left) for 5-(24,12,18876) (# 3302) : der= 5-(24,11,10164) and res= 5-(24,12,18876) - the given design is the residual.
design 6-(25,12,10164) (# 9996) with respect to smaller t
derived from 6-(26,13,29040) (# 9997)
derived from supplementary of 6-(26,13,48480) (# 10006)
supplementary design of 6-(25,12,16968) (# 10007) with respect to smaller t

# 3304: 5-(26,13,76230)

clan: 13-(32,16,363), 2 times reduced t, 3 times derived, 3 times residual
Tran van Trung construction with complementary design for 5-(25,12,29040) (# 3303)
design 6-(26,13,29040) (# 9997) with respect to smaller t
Tran van Trung construction (left) for 5-(25,13,47190) (# 10002) : der= 5-(25,12,29040) and res= 5-(25,13,47190) - the given design is the residual.
supplementary design of 6-(26,13,48480) (# 10006) with respect to smaller t

# 3305: 5-(26,12,43560)

clan: 13-(32,16,363), 2 times reduced t, 4 times derived, 2 times residual
Tran van Trung construction (left) for 5-(25,12,29040) (# 3303) : der= 5-(25,11,14520) and res= 5-(25,12,29040) - the given design is the residual.

# 3306: 5-(27,13,119790)

clan: 13-(32,16,363), 3 times reduced t, 3 times derived, 2 times residual
Tran van Trung construction (left) for 5-(26,13,76230) (# 3304) : der= 5-(26,12,43560) and res= 5-(26,13,76230) - the given design is the residual.
Tran van Trung construction (right) for 5-(26,12,43560) (# 3305) : der= 5-(26,12,43560) and res= 5-(26,13,76230) - the given design is the derived.

# 3307: 5-(28,14,306130)

clan: 13-(32,16,363), 4 times reduced t, 2 times derived, 2 times residual
Tran van Trung construction with complementary design for 5-(27,13,119790) (# 3306)

# 3308: 5-(24,12,18882)

clan: 5-(24,12,18882)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3309: 5-(24,12,18888)

clan: 5-(24,12,18888)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3310: 5-(24,12,18894)

clan: 5-(24,12,18894)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3311: 5-(24,12,18900)

clan: 5-(24,12,18900)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3312: 5-(24,12,18906)

clan: 5-(24,12,18906)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3313: 5-(24,12,18912)

clan: 5-(24,12,18912)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3314: 5-(24,12,18918)

clan: 5-(24,12,18918)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3315: 5-(24,12,18924)

clan: 7-(24,12,2324), 2 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3316: 5-(24,12,18930)

clan: 5-(24,12,18930)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3317: 5-(24,12,18936)

clan: 5-(24,12,18936)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3318: 5-(24,12,18942)

clan: 5-(24,12,18942)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3319: 5-(24,12,18948)

clan: 5-(24,12,18948)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3320: 5-(24,12,18954)

clan: 11-(30,15,1458), 3 times derived, 3 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3321: 5-(24,12,1896)

clan: 5-(24,12,1896)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3322: 5-(24,12,18960)

clan: 5-(24,12,18960)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3323: 5-(24,12,18966)

clan: 5-(24,12,18966)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3324: 5-(24,12,18972)

clan: 5-(24,12,18972)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3325: 5-(24,12,18978)

clan: 5-(24,12,18978)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3326: 5-(24,12,18984)

clan: 5-(24,12,18984)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3327: 5-(24,12,18990)

clan: 5-(24,12,18990)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3328: 5-(24,12,18996)

clan: 5-(24,12,18996)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3329: 5-(24,12,19002)

clan: 5-(24,12,19002)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3330: 5-(24,12,19008)

clan: 5-(24,12,19008)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3331: 5-(24,12,19014)

clan: 5-(24,12,19014)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3332: 5-(24,12,19020)

clan: 5-(24,12,19020)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3333: 5-(24,12,19026)

clan: 5-(24,12,19026)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3334: 5-(24,12,19032)

clan: 13-(32,16,366), 4 times derived, 4 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3335: 5-(24,12,19038)

clan: 7-(24,12,2338), 2 times reduced t
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3336: 5-(24,12,19044)

clan: 5-(24,12,19044)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3337: 5-(24,12,19050)

clan: 5-(24,12,19050)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3338: 5-(24,12,19056)

clan: 5-(24,12,19056)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3339: 5-(24,12,19062)

clan: 5-(24,12,19062)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3340: 5-(24,12,19068)

clan: 5-(24,12,19068)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3341: 5-(24,12,19074)

clan: 5-(24,12,19074)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3342: 5-(24,12,19080)

clan: 5-(24,12,19080)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3343: 5-(24,12,19086)

clan: 5-(24,12,19086)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3344: 5-(24,12,19092)

clan: 5-(24,12,19092)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3345: 5-(24,12,19098)

clan: 5-(24,12,19098)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3346: 5-(24,12,19104)

clan: 5-(24,12,19104)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3347: 5-(24,12,19110)

clan: 11-(30,15,1470), 3 times derived, 3 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3348: 5-(24,12,19116)

clan: 5-(24,12,19116)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3349: 5-(24,12,19122)

clan: 5-(24,12,19122)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3350: 5-(24,12,19128)

clan: 5-(24,12,19128)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3351: 5-(24,12,19134)

clan: 5-(24,12,19134)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3352: 5-(24,12,1914)

clan: 5-(24,12,1914)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3353: 5-(24,12,19140)

clan: 5-(24,12,19140)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3354: 5-(24,12,19146)

clan: 5-(24,12,19146)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3355: 5-(24,12,19158)

clan: 5-(24,12,19158)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3356: 5-(24,12,19164)

clan: 5-(24,12,19164)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3357: 5-(24,12,19170)

clan: 5-(24,12,19170)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3358: 5-(24,12,19176)

clan: 5-(24,12,19176)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3359: 5-(24,12,19182)

clan: 5-(24,12,19182)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3360: 5-(24,12,19188)

clan: 13-(32,16,369), 4 times derived, 4 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3361: 5-(24,12,19194)

clan: 5-(24,12,19194)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3362: 5-(24,12,19200)

clan: 5-(24,12,19200)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3363: 5-(24,12,19206)

clan: 5-(24,12,19206)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3364: 5-(24,12,19212)

clan: 5-(24,12,19212)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3365: 5-(24,12,19218)

clan: 5-(24,12,19218)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3366: 5-(24,12,19224)

clan: 5-(24,12,19224)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3367: 5-(24,12,19230)

clan: 5-(24,12,19230)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3368: 5-(24,12,19236)

clan: 5-(24,12,19236)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3369: 5-(24,12,19242)

clan: 5-(24,12,19242)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3370: 5-(24,12,19248)

clan: 5-(24,12,19248)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3371: 5-(24,12,19254)

clan: 5-(24,12,19254)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3372: 5-(24,12,19260)

clan: 5-(24,12,19260)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3373: 5-(24,12,19266)

clan: 13-(30,15,52), 2 times reduced t, 3 times derived, 3 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3374: 5-(24,12,19272)

clan: 5-(24,12,19272)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3375: 5-(24,12,19278)

clan: 5-(24,12,19278)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3376: 5-(24,12,19284)

clan: 5-(24,12,19284)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3377: 5-(24,12,19290)

clan: 5-(24,12,19290)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3378: 5-(24,12,19296)

clan: 5-(24,12,19296)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3379: 5-(24,12,19302)

clan: 5-(24,12,19302)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3380: 5-(24,12,19308)

clan: 5-(24,12,19308)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3381: 5-(24,12,19314)

clan: 5-(24,12,19314)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3382: 5-(24,12,19320)

clan: 5-(24,12,19320)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3383: 5-(24,12,19326)

clan: 5-(24,12,19326)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3384: 5-(24,12,19332)

clan: 5-(24,12,19332)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3385: 5-(24,12,19338)

clan: 5-(24,12,19338)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3386: 5-(24,12,19344)

clan: 13-(32,16,372), 4 times derived, 4 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3387: 5-(24,12,19350)

clan: 5-(24,12,19350)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3388: 5-(24,12,19356)

clan: 5-(24,12,19356)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3389: 5-(24,12,19362)

clan: 5-(24,12,19362)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3390: 5-(24,12,19368)

clan: 5-(24,12,19368)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3391: 5-(24,12,19374)

clan: 5-(24,12,19374)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3392: 5-(24,12,19386)

clan: 5-(24,12,19386)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3393: 5-(24,12,19392)

clan: 5-(24,12,19392)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3394: 5-(24,12,19398)

clan: 5-(24,12,19398)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3395: 5-(24,12,19404)

clan: 5-(24,12,19404)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3396: 5-(24,12,19410)

clan: 5-(24,12,19410)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3397: 5-(24,12,19416)

clan: 5-(24,12,19416)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3398: 5-(24,12,19422)

clan: 11-(30,15,1494), 3 times derived, 3 times residual
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

# 3399: 5-(24,12,19428)

clan: 5-(24,12,19428)
$ PSL(2,23) $ % -group 3 PSL 2 23 PSL_2_23

created: Fri Oct 23 11:09:56 CEST 2009

University of Bayreuth -