t designs with small t, id ge 1300

# 1300: 5-(24,10,144)

clan: 13-(32,16,12), 6 times derived, 2 times residual
$PGL(2,23)$ (1 isomorphism type) \cite{KitazumeMunemasa97}
$PSL(2,23)$ (20 isomorphism types) \cite{KitazumeMunemasa97}

# 1301: 5-(24,10,1440)

clan: 13-(32,16,120), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1302: 5-(24,10,1458)

clan: 11-(30,15,486), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1303: 5-(24,10,1476)

clan: 13-(32,16,123), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1304: 5-(24,10,1494)

clan: 11-(30,15,498), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1305: 5-(24,10,1512)

clan: 13-(32,16,126), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1306: 5-(24,10,1530)

clan: 11-(30,15,510), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1307: 5-(24,10,1548)

clan: 13-(32,16,129), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1308: 5-(24,10,1566)

clan: 11-(30,15,522), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1309: 5-(24,10,1584)

clan: 13-(32,16,132), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1310: 5-(24,10,1602)

clan: 11-(30,15,534), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1311: 5-(24,10,162)

clan: 11-(30,15,54), 5 times derived, 1 times residual
$PSL(2,23)$ (28 isomorphism types) \cite{KitazumeMunemasa97}

# 1312: 5-(24,10,1620)

clan: 13-(32,16,135), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1313: 5-(24,10,1638)

clan: 11-(30,15,546), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1314: 5-(24,10,1656)

clan: 13-(32,16,138), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1315: 5-(24,10,1674)

clan: 11-(30,15,558), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1316: 5-(24,10,1692)

clan: 13-(32,16,141), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1317: 5-(24,10,1710)

clan: 13-(30,15,20), 2 times reduced t, 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1318: 5-(24,10,1728)

clan: 13-(32,16,144), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1319: 5-(24,10,1746)

clan: 11-(30,15,582), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1320: 5-(24,10,1764)

clan: 13-(32,16,147), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1321: 5-(24,10,1782)

clan: 11-(30,15,594), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1322: 5-(24,10,180)

clan: 13-(32,16,15), 6 times derived, 2 times residual
$PSL(2,23)$ (45 isomorphism types) \cite{KitazumeMunemasa97}
\cite{Driessen78}

# 1323: 5-(24,10,1800)

clan: 13-(32,16,150), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1324: 5-(24,10,1818)

clan: 11-(30,15,606), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1325: 5-(24,10,1836)

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

# 1326: 5-(24,10,1854)

clan: 11-(30,15,618), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1327: 5-(24,10,1872)

clan: 13-(32,16,156), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1328: 5-(24,10,1890)

clan: 11-(30,15,630), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1329: 5-(24,10,1908)

clan: 13-(32,16,159), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1330: 5-(24,10,1926)

clan: 11-(30,15,642), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1331: 5-(24,10,1944)

clan: 13-(32,16,162), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1332: 5-(24,10,1962)

clan: 11-(30,15,654), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1333: 5-(24,10,198)

clan: 11-(30,15,66), 5 times derived, 1 times residual
$PSL(2,23)$ (100 isomorphism types) \cite{KitazumeMunemasa97}

# 1334: 5-(24,10,1980)

clan: 13-(32,16,165), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1335: 5-(24,10,1998)

clan: 11-(30,15,666), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1336: 5-(24,10,2016)

clan: 13-(32,16,168), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1337: 5-(24,10,2034)

clan: 11-(30,15,678), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1338: 5-(24,10,2070)

clan: 11-(30,15,690), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1339: 5-(24,10,2088)

clan: 13-(32,16,174), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1340: 5-(24,10,2106)

clan: 11-(30,15,702), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1341: 5-(24,10,2124)

clan: 13-(32,16,177), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1342: 5-(24,10,2142)

clan: 11-(30,15,714), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1343: 5-(24,10,216)

clan: 13-(32,16,18), 6 times derived, 2 times residual
$PGL(2,23)$ (3 isomorphism types) \cite{KitazumeMunemasa97}
$PSL(2,23)$ (185 isomorphism types) \cite{KitazumeMunemasa97}

# 1344: 5-(24,10,2160)

clan: 13-(32,16,180), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1345: 5-(24,10,2178)

clan: 11-(30,15,726), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1346: 5-(24,10,2196)

clan: 13-(32,16,183), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1347: 5-(24,10,2214)

clan: 11-(30,15,738), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1348: 5-(24,10,2232)

clan: 13-(32,16,186), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1349: 5-(24,10,2250)

clan: 11-(30,15,750), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1350: 5-(24,10,2268)

clan: 13-(32,16,189), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1351: 5-(24,10,2286)

clan: 11-(30,15,762), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1352: 5-(24,10,2304)

clan: 13-(32,16,192), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1353: 5-(24,10,2322)

clan: 11-(30,15,774), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1354: 5-(24,10,234)

clan: 11-(30,15,78), 5 times derived, 1 times residual
$PSL(2,23)$ (248 isomorphism types) \cite{KitazumeMunemasa97}

# 1355: 5-(24,10,2340)

clan: 13-(32,16,195), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1356: 5-(24,10,2358)

clan: 11-(30,15,786), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1357: 5-(24,10,2376)

clan: 13-(32,16,198), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1358: 5-(24,10,2394)

clan: 13-(30,15,28), 2 times reduced t, 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1359: 5-(24,10,2412)

clan: 13-(32,16,201), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1360: 5-(24,10,2430)

clan: 11-(30,15,810), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1361: 5-(24,10,2448)

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

# 1362: 5-(24,10,2466)

clan: 11-(30,15,822), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1363: 5-(24,10,2484)

clan: 13-(32,16,207), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1364: 5-(24,10,2502)

clan: 11-(30,15,834), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1365: 5-(24,10,252)

clan: 13-(32,16,21), 6 times derived, 2 times residual
$PSL(2,23)$ (689 isomorphism types) \cite{KitazumeMunemasa97}

# 1366: 5-(24,10,2520)

clan: 13-(32,16,210), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1367: 5-(24,10,2538)

clan: 11-(30,15,846), 5 times derived, 1 times residual
$PSL(2,23)$

# 1368: 5-(24,10,2556)

clan: 13-(32,16,213), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1369: 5-(24,10,2574)

clan: 11-(30,15,858), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1370: 5-(24,10,2592)

clan: 13-(32,16,216), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1371: 5-(24,10,2610)

clan: 11-(30,15,870), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1372: 5-(24,10,2628)

clan: 13-(32,16,219), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1373: 5-(24,10,2646)

clan: 11-(30,15,882), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1374: 5-(24,10,2664)

clan: 13-(32,16,222), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1375: 5-(24,10,2682)

clan: 11-(30,15,894), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1376: 5-(24,10,270)

clan: 11-(30,15,90), 5 times derived, 1 times residual
$PSL(2,23)$ (691 isomorphism types) \cite{KitazumeMunemasa97}

# 1377: 5-(24,10,2700)

clan: 13-(32,16,225), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1378: 5-(24,10,2718)

clan: 11-(30,15,906), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1379: 5-(24,10,2736)

clan: 15-(32,16,4), 2 times reduced t, 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1380: 5-(24,10,2754)

clan: 11-(30,15,918), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1381: 5-(24,10,2772)

clan: 13-(32,16,231), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1382: 5-(24,10,2790)

clan: 11-(30,15,930), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1383: 5-(24,10,2808)

clan: 13-(32,16,234), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1384: 5-(24,10,2826)

clan: 11-(30,15,942), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1385: 5-(24,10,2844)

clan: 13-(32,16,237), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1386: 5-(24,10,2862)

clan: 11-(30,15,954), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1387: 5-(24,10,288)

clan: 13-(32,16,24), 6 times derived, 2 times residual
$PGL(2,23)$ (4 isomorphism types) \cite{KitazumeMunemasa97}
$PSL(2,23)$ (1783 isomorphism types) \cite{KitazumeMunemasa97}

# 1388: 5-(24,10,2880)

clan: 13-(32,16,240), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1389: 5-(24,10,2898)

clan: 11-(30,15,966), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1390: 5-(24,10,2916)

clan: 13-(32,16,243), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1391: 5-(24,10,2934)

clan: 11-(30,15,978), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1392: 5-(24,10,2952)

clan: 13-(32,16,246), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1393: 5-(24,10,2970)

clan: 11-(30,15,990), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1394: 5-(24,10,2988)

clan: 13-(32,16,249), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1395: 5-(24,10,3006)

clan: 11-(30,15,1002), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1396: 5-(24,10,3024)

clan: 13-(32,16,252), 6 times derived, 2 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1397: 5-(24,10,3042)

clan: 11-(30,15,1014), 5 times derived, 1 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

# 1398: 5-(24,10,306)

clan: 11-(30,15,102), 5 times derived, 1 times residual
$PSL(2,23)$ (2038 isomorphism types) \cite{KitazumeMunemasa97}

# 1399: 5-(24,10,3060)

clan: 17-(36,18,5), 8 times derived, 4 times residual
$ {\bf PSL(2,23)} \geq 1$ % -group 3 PSL 2 23 PSL_2_23

created: Fri Oct 23 11:09:41 CEST 2009