´

t designs with small t, id ge 1400

# 1400: 5-(24,10,3096)

clan: 13-(32,16,258), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1401: 5-(24,10,3114)

clan: 11-(30,15,1038), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1402: 5-(24,10,3132)

clan: 13-(32,16,261), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1403: 5-(24,10,3150)

clan: 11-(30,15,1050), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1404: 5-(24,10,3168)

clan: 13-(32,16,264), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1405: 5-(24,10,3186)

clan: 11-(30,15,1062), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1406: 5-(24,10,3204)

clan: 13-(32,16,267), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
derived from 6-(25,11,3204) (# 17658)
derived from supplementary of 6-(25,11,8424) (# 17660)

# 1407: 5-(24,10,3222)

clan: 11-(30,15,1074), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1408: 5-(24,10,324)

clan: 13-(32,16,27), 6 times derived, 2 times residual
$PGL(2,23)$ (2 isomorphism types) \cite{KitazumeMunemasa97}
$PSL(2,23)$ (3716 isomorphism types) \cite{KitazumeMunemasa97}

# 1409: 5-(24,10,3240)

clan: 13-(32,16,270), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
residual design of 6-(25,10,1080) (# 13533)
derived from 6-(25,11,3240) (# 13534)
residual design of supplementary of 6-(25,10,2796) (# 13536)
derived from supplementary of 6-(25,11,8388) (# 13537)

# 1410: 5-(24,10,3258)

clan: 11-(30,15,1086), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1411: 5-(24,10,3276)

clan: 13-(32,16,273), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1412: 5-(24,10,3294)

clan: 11-(30,15,1098), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1413: 5-(24,10,3312)

clan: 13-(32,16,276), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1414: 5-(24,10,3330)

clan: 11-(30,15,1110), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1415: 5-(24,10,3348)

clan: 13-(32,16,279), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1416: 5-(24,10,3366)

clan: 11-(30,15,1122), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1417: 5-(24,10,3384)

clan: 13-(32,16,282), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1418: 5-(24,10,3402)

clan: 11-(30,15,1134), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1419: 5-(24,10,342)

clan: 13-(30,15,4), 2 times reduced t, 5 times derived, 1 times residual
$PSL(2,23)$ (4929 isomorphism types) \cite{KitazumeMunemasa97}

# 1420: 5-(24,10,3438)

clan: 11-(30,15,1146), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1421: 5-(24,10,3456)

clan: 13-(32,16,288), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1422: 5-(24,10,3474)

clan: 11-(30,15,1158), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1423: 5-(24,10,3492)

clan: 13-(32,16,291), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1424: 5-(24,10,3510)

clan: 11-(30,15,1170), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1425: 5-(24,10,3528)

clan: 13-(32,16,294), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
residual design of 6-(25,10,1176) (# 13547)
derived from 6-(25,11,3528) (# 13548)
residual design of supplementary of 6-(25,10,2700) (# 13550)
derived from supplementary of 6-(25,11,8100) (# 13551)

# 1426: 5-(24,10,3546)

clan: 11-(30,15,1182), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1427: 5-(24,10,3564)

clan: 13-(32,16,297), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1428: 5-(24,10,3582)

clan: 11-(30,15,1194), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1429: 5-(24,10,36)

clan: 13-(32,16,3), 6 times derived, 2 times residual
$PSL(2,23)$ (1 isomorphism type) \cite{GulliverHarada} block-transitive

# 1430: 5-(24,10,360)

clan: 13-(32,16,30), 6 times derived, 2 times residual
$PGL(2,23)$ (3 isomorphism types) \cite{KitazumeMunemasa97}
$PSL(2,23)$ (8211 isomorphism types) \cite{KitazumeMunemasa97}

# 1431: 5-(24,10,3600)

clan: 13-(32,16,300), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1432: 5-(24,10,3618)

clan: 11-(30,15,1206), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1433: 5-(24,10,3636)

clan: 13-(32,16,303), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1434: 5-(24,10,3654)

clan: 11-(30,15,1218), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1435: 5-(24,10,3672)

clan: 17-(36,18,6), 8 times derived, 4 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1436: 5-(24,10,3690)

clan: 11-(30,15,1230), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1437: 5-(24,10,3708)

clan: 13-(32,16,309), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1438: 5-(24,10,3726)

clan: 11-(30,15,1242), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1439: 5-(24,10,3744)

clan: 13-(32,16,312), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1440: 5-(24,10,3762)

clan: 13-(30,15,44), 2 times reduced t, 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
Tran van Trung construction (left) for 5-(23,10,2772) (# 9788) : der= 5-(23,9,990) and res= 5-(23,10,2772) - the given design is the residual.
derived from 6-(25,11,3762) (# 13506)
design 6-(24,10,990) (# 13507) with respect to smaller t
derived from supplementary of 6-(25,11,7866) (# 13508)
supplementary design of 6-(24,10,2070) (# 13509) with respect to smaller t

# 1441: 5-(24,10,378)

clan: 11-(30,15,126), 5 times derived, 1 times residual
$PSL(2,23)$ (9082 isomorphism types) \cite{KitazumeMunemasa97}

# 1442: 5-(24,10,3780)

clan: 13-(32,16,315), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1443: 5-(24,10,3798)

clan: 11-(30,15,1266), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1444: 5-(24,10,3816)

clan: 13-(32,16,318), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1445: 5-(24,10,3834)

clan: 11-(30,15,1278), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1446: 5-(24,10,3852)

clan: 13-(32,16,321), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1447: 5-(24,10,3870)

clan: 11-(30,15,1290), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1448: 5-(24,10,3888)

clan: 13-(32,16,324), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
residual design of 6-(25,10,1296) (# 17560)
derived from 6-(25,11,3888) (# 17561)
residual design of supplementary of 6-(25,10,2580) (# 17562)
derived from supplementary of 6-(25,11,7740) (# 17563)

# 1449: 5-(24,10,3906)

clan: 11-(30,15,1302), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1450: 5-(24,10,3924)

clan: 13-(32,16,327), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1451: 5-(24,10,3942)

clan: 11-(30,15,1314), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1452: 5-(24,10,396)

clan: 13-(32,16,33), 6 times derived, 2 times residual
$PGL(2,23)$ (2 isomorphism types) \cite{KitazumeMunemasa97}
$PSL(2,23)$ (15526 isomorphism types) \cite{KitazumeMunemasa97}

# 1453: 5-(24,10,3960)

clan: 13-(32,16,330), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1454: 5-(24,10,3978)

clan: 11-(30,15,1326), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1455: 5-(24,10,3996)

clan: 13-(32,16,333), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1456: 5-(24,10,4014)

clan: 11-(30,15,1338), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1457: 5-(24,10,4032)

clan: 13-(32,16,336), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1458: 5-(24,10,4050)

clan: 11-(30,15,1350), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1459: 5-(24,10,4068)

clan: 13-(32,16,339), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
residual design of 6-(25,10,1356) (# 13574)
derived from 6-(25,11,4068) (# 13575)
residual design of supplementary of 6-(25,10,2520) (# 13577)
derived from supplementary of 6-(25,11,7560) (# 13578)

# 1460: 5-(24,10,4086)

clan: 11-(30,15,1362), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1461: 5-(24,10,4104)

clan: 15-(32,16,6), 2 times reduced t, 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
design 6-(24,10,1080) (# 13148) with respect to smaller t
supplementary design of 6-(24,10,1980) (# 13151) with respect to smaller t
Tran van Trung construction (left) for 5-(23,10,3024) (# 13154) : der= 5-(23,9,1080) and res= 5-(23,10,3024) - the given design is the residual.
derived from 6-(25,11,4104) (# 13218)
derived from supplementary of 6-(25,11,7524) (# 13222)
residual design of 6-(25,10,1368) (# 13326)
residual design of supplementary of 6-(25,10,2508) (# 13328)

# 1462: 5-(24,10,4122)

clan: 11-(30,15,1374), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1463: 5-(24,10,414)

clan: 11-(30,15,138), 5 times derived, 1 times residual
$PSL(2,23)$ (14714 isomorphism types) \cite{KitazumeMunemasa97}

# 1464: 5-(24,10,4140)

clan: 13-(32,16,345), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1465: 5-(24,10,4158)

clan: 11-(30,15,1386), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1466: 5-(24,10,4176)

clan: 13-(32,16,348), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1467: 5-(24,10,4194)

clan: 11-(30,15,1398), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1468: 5-(24,10,4212)

clan: 13-(32,16,351), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1469: 5-(24,10,4230)

clan: 11-(30,15,1410), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1470: 5-(24,10,4248)

clan: 13-(32,16,354), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1471: 5-(24,10,4266)

clan: 11-(30,15,1422), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1472: 5-(24,10,4284)

clan: 17-(36,18,7), 8 times derived, 4 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1473: 5-(24,10,4302)

clan: 11-(30,15,1434), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1474: 5-(24,10,432)

clan: 13-(32,16,36), 6 times derived, 2 times residual
$PGL(2,23)$ (4 isomorphism types) \cite{KitazumeMunemasa97}
$PSL(2,23)$ (23725 isomorphism types) \cite{KitazumeMunemasa97}

# 1475: 5-(24,10,4320)

clan: 13-(32,16,360), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1476: 5-(24,10,4338)

clan: 11-(30,15,1446), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1477: 5-(24,10,4356)

clan: 13-(32,16,363), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1478: 5-(24,10,4374)

clan: 11-(30,15,1458), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1479: 5-(24,10,4392)

clan: 13-(32,16,366), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1480: 5-(24,10,4410)

clan: 11-(30,15,1470), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1481: 5-(24,10,4428)

clan: 13-(32,16,369), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1482: 5-(24,10,4464)

clan: 13-(32,16,372), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1483: 5-(24,10,4482)

clan: 11-(30,15,1494), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1484: 5-(24,10,450)

clan: 11-(30,15,150), 5 times derived, 1 times residual
$PSL(2,23)$ (21430 isomorphism types) \cite{KitazumeMunemasa97}

# 1485: 5-(24,10,4500)

clan: 13-(32,16,375), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1486: 5-(24,10,4518)

clan: 11-(30,15,1506), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1487: 5-(24,10,4536)

clan: 13-(32,16,378), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1488: 5-(24,10,4554)

clan: 11-(30,15,1518), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1489: 5-(24,10,4572)

clan: 13-(32,16,381), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1490: 5-(24,10,4590)

clan: 11-(30,15,1530), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1491: 5-(24,10,4608)

clan: 13-(32,16,384), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23
residual design of 6-(25,10,1536) (# 13605)
derived from 6-(25,11,4608) (# 13606)
residual design of supplementary of 6-(25,10,2340) (# 13608)
derived from supplementary of 6-(25,11,7020) (# 13609)

# 1492: 5-(24,10,4626)

clan: 11-(30,15,1542), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1493: 5-(24,10,4644)

clan: 13-(32,16,387), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1494: 5-(24,10,4662)

clan: 11-(30,15,1554), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1495: 5-(24,10,468)

clan: 13-(32,16,39), 6 times derived, 2 times residual
$PSL(2,23)$ (30825 isomorphism types) \cite{KitazumeMunemasa97}

# 1496: 5-(24,10,4680)

clan: 13-(32,16,390), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1497: 5-(24,10,4698)

clan: 11-(30,15,1566), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1498: 5-(24,10,4716)

clan: 13-(32,16,393), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1499: 5-(24,10,4734)

clan: 11-(30,15,1578), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

created: Fri Oct 23 11:09:43 CEST 2009

University of Bayreuth -