Extensions 1→N→G→Q→1 with N=C12 and Q=C2×D4

Direct product G=N×Q with N=C12 and Q=C2×D4
dρLabelID
D4×C2×C1296D4xC2xC12192,1404

Semidirect products G=N:Q with N=C12 and Q=C2×D4
extensionφ:Q→Aut NdρLabelID
C121(C2×D4) = D4×D12φ: C2×D4/C4C22 ⊆ Aut C1248C12:1(C2xD4)192,1108
C122(C2×D4) = S3×C41D4φ: C2×D4/C4C22 ⊆ Aut C1248C12:2(C2xD4)192,1273
C123(C2×D4) = D1211D4φ: C2×D4/C4C22 ⊆ Aut C1248C12:3(C2xD4)192,1276
C124(C2×D4) = C2×C12⋊D4φ: C2×D4/C22C22 ⊆ Aut C1296C12:4(C2xD4)192,1065
C125(C2×D4) = S3×C4⋊D4φ: C2×D4/C22C22 ⊆ Aut C1248C12:5(C2xD4)192,1163
C126(C2×D4) = D1219D4φ: C2×D4/C22C22 ⊆ Aut C1248C12:6(C2xD4)192,1168
C127(C2×D4) = C2×D63D4φ: C2×D4/C22C22 ⊆ Aut C1296C12:7(C2xD4)192,1359
C128(C2×D4) = D4×C3⋊D4φ: C2×D4/C22C22 ⊆ Aut C1248C12:8(C2xD4)192,1360
C129(C2×D4) = C2×C123D4φ: C2×D4/C22C22 ⊆ Aut C1296C12:9(C2xD4)192,1362
C1210(C2×D4) = C2×C4⋊D12φ: C2×D4/C2×C4C2 ⊆ Aut C1296C12:10(C2xD4)192,1034
C1211(C2×D4) = C2×C4×D12φ: C2×D4/C2×C4C2 ⊆ Aut C1296C12:11(C2xD4)192,1032
C1212(C2×D4) = C6×C41D4φ: C2×D4/C2×C4C2 ⊆ Aut C1296C12:12(C2xD4)192,1419
C1213(C2×D4) = C4×S3×D4φ: C2×D4/D4C2 ⊆ Aut C1248C12:13(C2xD4)192,1103
C1214(C2×D4) = C3×D42φ: C2×D4/D4C2 ⊆ Aut C1248C12:14(C2xD4)192,1434
C1215(C2×D4) = C2×C127D4φ: C2×D4/C23C2 ⊆ Aut C1296C12:15(C2xD4)192,1349
C1216(C2×D4) = C2×C4×C3⋊D4φ: C2×D4/C23C2 ⊆ Aut C1296C12:16(C2xD4)192,1347
C1217(C2×D4) = C6×C4⋊D4φ: C2×D4/C23C2 ⊆ Aut C1296C12:17(C2xD4)192,1411

Non-split extensions G=N.Q with N=C12 and Q=C2×D4
extensionφ:Q→Aut NdρLabelID
C12.1(C2×D4) = D65SD16φ: C2×D4/C4C22 ⊆ Aut C1248C12.1(C2xD4)192,335
C12.2(C2×D4) = D43D12φ: C2×D4/C4C22 ⊆ Aut C1296C12.2(C2xD4)192,340
C12.3(C2×D4) = D4.D12φ: C2×D4/C4C22 ⊆ Aut C1296C12.3(C2xD4)192,342
C12.4(C2×D4) = C425D6φ: C2×D4/C4C22 ⊆ Aut C12484C12.4(C2xD4)192,384
C12.5(C2×D4) = Q8.14D12φ: C2×D4/C4C22 ⊆ Aut C12484-C12.5(C2xD4)192,385
C12.6(C2×D4) = D4.10D12φ: C2×D4/C4C22 ⊆ Aut C12484C12.6(C2xD4)192,386
C12.7(C2×D4) = S3×D16φ: C2×D4/C4C22 ⊆ Aut C12484+C12.7(C2xD4)192,469
C12.8(C2×D4) = D8⋊D6φ: C2×D4/C4C22 ⊆ Aut C12484C12.8(C2xD4)192,470
C12.9(C2×D4) = D163S3φ: C2×D4/C4C22 ⊆ Aut C12964-C12.9(C2xD4)192,471
C12.10(C2×D4) = S3×SD32φ: C2×D4/C4C22 ⊆ Aut C12484C12.10(C2xD4)192,472
C12.11(C2×D4) = D48⋊C2φ: C2×D4/C4C22 ⊆ Aut C12484+C12.11(C2xD4)192,473
C12.12(C2×D4) = SD32⋊S3φ: C2×D4/C4C22 ⊆ Aut C12964-C12.12(C2xD4)192,474
C12.13(C2×D4) = D6.2D8φ: C2×D4/C4C22 ⊆ Aut C12964C12.13(C2xD4)192,475
C12.14(C2×D4) = S3×Q32φ: C2×D4/C4C22 ⊆ Aut C12964-C12.14(C2xD4)192,476
C12.15(C2×D4) = Q32⋊S3φ: C2×D4/C4C22 ⊆ Aut C12964C12.15(C2xD4)192,477
C12.16(C2×D4) = D485C2φ: C2×D4/C4C22 ⊆ Aut C12964+C12.16(C2xD4)192,478
C12.17(C2×D4) = C127D8φ: C2×D4/C4C22 ⊆ Aut C1296C12.17(C2xD4)192,574
C12.18(C2×D4) = D4.1D12φ: C2×D4/C4C22 ⊆ Aut C1296C12.18(C2xD4)192,575
C12.19(C2×D4) = D4.2D12φ: C2×D4/C4C22 ⊆ Aut C1296C12.19(C2xD4)192,578
C12.20(C2×D4) = Q82D12φ: C2×D4/C4C22 ⊆ Aut C1296C12.20(C2xD4)192,586
C12.21(C2×D4) = Q8.6D12φ: C2×D4/C4C22 ⊆ Aut C1296C12.21(C2xD4)192,587
C12.22(C2×D4) = C127Q16φ: C2×D4/C4C22 ⊆ Aut C12192C12.22(C2xD4)192,590
C12.23(C2×D4) = C42.61D6φ: C2×D4/C4C22 ⊆ Aut C1296C12.23(C2xD4)192,613
C12.24(C2×D4) = D12.23D4φ: C2×D4/C4C22 ⊆ Aut C1296C12.24(C2xD4)192,616
C12.25(C2×D4) = C42.64D6φ: C2×D4/C4C22 ⊆ Aut C1296C12.25(C2xD4)192,617
C12.26(C2×D4) = C42.214D6φ: C2×D4/C4C22 ⊆ Aut C1296C12.26(C2xD4)192,618
C12.27(C2×D4) = C42.65D6φ: C2×D4/C4C22 ⊆ Aut C1296C12.27(C2xD4)192,619
C12.28(C2×D4) = C427D6φ: C2×D4/C4C22 ⊆ Aut C12484C12.28(C2xD4)192,620
C12.29(C2×D4) = D12.14D4φ: C2×D4/C4C22 ⊆ Aut C12484C12.29(C2xD4)192,621
C12.30(C2×D4) = C122D8φ: C2×D4/C4C22 ⊆ Aut C1296C12.30(C2xD4)192,631
C12.31(C2×D4) = C12⋊D8φ: C2×D4/C4C22 ⊆ Aut C1296C12.31(C2xD4)192,632
C12.32(C2×D4) = C42.74D6φ: C2×D4/C4C22 ⊆ Aut C1296C12.32(C2xD4)192,633
C12.33(C2×D4) = Dic69D4φ: C2×D4/C4C22 ⊆ Aut C1296C12.33(C2xD4)192,634
C12.34(C2×D4) = C124SD16φ: C2×D4/C4C22 ⊆ Aut C1296C12.34(C2xD4)192,635
C12.35(C2×D4) = C428D6φ: C2×D4/C4C22 ⊆ Aut C12244C12.35(C2xD4)192,636
C12.36(C2×D4) = C125SD16φ: C2×D4/C4C22 ⊆ Aut C1296C12.36(C2xD4)192,642
C12.37(C2×D4) = C126SD16φ: C2×D4/C4C22 ⊆ Aut C1296C12.37(C2xD4)192,644
C12.38(C2×D4) = C42.80D6φ: C2×D4/C4C22 ⊆ Aut C1296C12.38(C2xD4)192,645
C12.39(C2×D4) = C12⋊Q16φ: C2×D4/C4C22 ⊆ Aut C12192C12.39(C2xD4)192,649
C12.40(C2×D4) = C123Q16φ: C2×D4/C4C22 ⊆ Aut C12192C12.40(C2xD4)192,651
C12.41(C2×D4) = D12.15D4φ: C2×D4/C4C22 ⊆ Aut C12484C12.41(C2xD4)192,654
C12.42(C2×D4) = Q8.8D12φ: C2×D4/C4C22 ⊆ Aut C12484C12.42(C2xD4)192,700
C12.43(C2×D4) = Q8.9D12φ: C2×D4/C4C22 ⊆ Aut C12484+C12.43(C2xD4)192,701
C12.44(C2×D4) = Q8.10D12φ: C2×D4/C4C22 ⊆ Aut C12964-C12.44(C2xD4)192,702
C12.45(C2×D4) = C245D4φ: C2×D4/C4C22 ⊆ Aut C1296C12.45(C2xD4)192,710
C12.46(C2×D4) = D12⋊D4φ: C2×D4/C4C22 ⊆ Aut C1248C12.46(C2xD4)192,715
C12.47(C2×D4) = D66SD16φ: C2×D4/C4C22 ⊆ Aut C1248C12.47(C2xD4)192,728
C12.48(C2×D4) = D68SD16φ: C2×D4/C4C22 ⊆ Aut C1296C12.48(C2xD4)192,729
C12.49(C2×D4) = D127D4φ: C2×D4/C4C22 ⊆ Aut C1296C12.49(C2xD4)192,731
C12.50(C2×D4) = C2415D4φ: C2×D4/C4C22 ⊆ Aut C1296C12.50(C2xD4)192,734
C12.51(C2×D4) = C24.26D4φ: C2×D4/C4C22 ⊆ Aut C12192C12.51(C2xD4)192,742
C12.52(C2×D4) = D65Q16φ: C2×D4/C4C22 ⊆ Aut C1296C12.52(C2xD4)192,745
C12.53(C2×D4) = D12.17D4φ: C2×D4/C4C22 ⊆ Aut C1296C12.53(C2xD4)192,746
C12.54(C2×D4) = D45D12φ: C2×D4/C4C22 ⊆ Aut C1248C12.54(C2xD4)192,1113
C12.55(C2×D4) = D46D12φ: C2×D4/C4C22 ⊆ Aut C1296C12.55(C2xD4)192,1114
C12.56(C2×D4) = Q8×D12φ: C2×D4/C4C22 ⊆ Aut C1296C12.56(C2xD4)192,1134
C12.57(C2×D4) = Q86D12φ: C2×D4/C4C22 ⊆ Aut C1296C12.57(C2xD4)192,1135
C12.58(C2×D4) = Q87D12φ: C2×D4/C4C22 ⊆ Aut C1296C12.58(C2xD4)192,1136
C12.59(C2×D4) = C42.233D6φ: C2×D4/C4C22 ⊆ Aut C1296C12.59(C2xD4)192,1227
C12.60(C2×D4) = S3×C4.4D4φ: C2×D4/C4C22 ⊆ Aut C1248C12.60(C2xD4)192,1232
C12.61(C2×D4) = C4220D6φ: C2×D4/C4C22 ⊆ Aut C1248C12.61(C2xD4)192,1233
C12.62(C2×D4) = C42.141D6φ: C2×D4/C4C22 ⊆ Aut C1296C12.62(C2xD4)192,1234
C12.63(C2×D4) = D1210D4φ: C2×D4/C4C22 ⊆ Aut C1248C12.63(C2xD4)192,1235
C12.64(C2×D4) = Dic610D4φ: C2×D4/C4C22 ⊆ Aut C1296C12.64(C2xD4)192,1236
C12.65(C2×D4) = C4228D6φ: C2×D4/C4C22 ⊆ Aut C1248C12.65(C2xD4)192,1274
C12.66(C2×D4) = C42.238D6φ: C2×D4/C4C22 ⊆ Aut C1296C12.66(C2xD4)192,1275
C12.67(C2×D4) = Dic611D4φ: C2×D4/C4C22 ⊆ Aut C1296C12.67(C2xD4)192,1277
C12.68(C2×D4) = S3×C4⋊Q8φ: C2×D4/C4C22 ⊆ Aut C1296C12.68(C2xD4)192,1282
C12.69(C2×D4) = C42.171D6φ: C2×D4/C4C22 ⊆ Aut C1296C12.69(C2xD4)192,1283
C12.70(C2×D4) = C42.240D6φ: C2×D4/C4C22 ⊆ Aut C1296C12.70(C2xD4)192,1284
C12.71(C2×D4) = D1212D4φ: C2×D4/C4C22 ⊆ Aut C1296C12.71(C2xD4)192,1285
C12.72(C2×D4) = D128Q8φ: C2×D4/C4C22 ⊆ Aut C1296C12.72(C2xD4)192,1286
C12.73(C2×D4) = D4.11D12φ: C2×D4/C4C22 ⊆ Aut C12484C12.73(C2xD4)192,1310
C12.74(C2×D4) = D4.12D12φ: C2×D4/C4C22 ⊆ Aut C12484+C12.74(C2xD4)192,1311
C12.75(C2×D4) = D4.13D12φ: C2×D4/C4C22 ⊆ Aut C12964-C12.75(C2xD4)192,1312
C12.76(C2×D4) = C2×S3×D8φ: C2×D4/C4C22 ⊆ Aut C1248C12.76(C2xD4)192,1313
C12.77(C2×D4) = C2×D8⋊S3φ: C2×D4/C4C22 ⊆ Aut C1248C12.77(C2xD4)192,1314
C12.78(C2×D4) = C2×D83S3φ: C2×D4/C4C22 ⊆ Aut C1296C12.78(C2xD4)192,1315
C12.79(C2×D4) = D813D6φ: C2×D4/C4C22 ⊆ Aut C12484C12.79(C2xD4)192,1316
C12.80(C2×D4) = C2×S3×SD16φ: C2×D4/C4C22 ⊆ Aut C1248C12.80(C2xD4)192,1317
C12.81(C2×D4) = C2×Q83D6φ: C2×D4/C4C22 ⊆ Aut C1248C12.81(C2xD4)192,1318
C12.82(C2×D4) = C2×D4.D6φ: C2×D4/C4C22 ⊆ Aut C1296C12.82(C2xD4)192,1319
C12.83(C2×D4) = C2×Q8.7D6φ: C2×D4/C4C22 ⊆ Aut C1296C12.83(C2xD4)192,1320
C12.84(C2×D4) = SD1613D6φ: C2×D4/C4C22 ⊆ Aut C12484C12.84(C2xD4)192,1321
C12.85(C2×D4) = C2×S3×Q16φ: C2×D4/C4C22 ⊆ Aut C1296C12.85(C2xD4)192,1322
C12.86(C2×D4) = C2×Q16⋊S3φ: C2×D4/C4C22 ⊆ Aut C1296C12.86(C2xD4)192,1323
C12.87(C2×D4) = C2×D24⋊C2φ: C2×D4/C4C22 ⊆ Aut C1296C12.87(C2xD4)192,1324
C12.88(C2×D4) = D12.30D4φ: C2×D4/C4C22 ⊆ Aut C12964C12.88(C2xD4)192,1325
C12.89(C2×D4) = S3×C4.D4φ: C2×D4/C22C22 ⊆ Aut C12248+C12.89(C2xD4)192,303
C12.90(C2×D4) = M4(2).19D6φ: C2×D4/C22C22 ⊆ Aut C12488-C12.90(C2xD4)192,304
C12.91(C2×D4) = M4(2)⋊D6φ: C2×D4/C22C22 ⊆ Aut C12488-C12.91(C2xD4)192,305
C12.92(C2×D4) = D121D4φ: C2×D4/C22C22 ⊆ Aut C12248+C12.92(C2xD4)192,306
C12.93(C2×D4) = D12.2D4φ: C2×D4/C22C22 ⊆ Aut C12488-C12.93(C2xD4)192,307
C12.94(C2×D4) = D12.3D4φ: C2×D4/C22C22 ⊆ Aut C12488+C12.94(C2xD4)192,308
C12.95(C2×D4) = S3×C4.10D4φ: C2×D4/C22C22 ⊆ Aut C12488-C12.95(C2xD4)192,309
C12.96(C2×D4) = M4(2).21D6φ: C2×D4/C22C22 ⊆ Aut C12488+C12.96(C2xD4)192,310
C12.97(C2×D4) = D12.4D4φ: C2×D4/C22C22 ⊆ Aut C12488-C12.97(C2xD4)192,311
C12.98(C2×D4) = D12.5D4φ: C2×D4/C22C22 ⊆ Aut C12488+C12.98(C2xD4)192,312
C12.99(C2×D4) = D12.6D4φ: C2×D4/C22C22 ⊆ Aut C12488+C12.99(C2xD4)192,313
C12.100(C2×D4) = D12.7D4φ: C2×D4/C22C22 ⊆ Aut C12968-C12.100(C2xD4)192,314
C12.101(C2×D4) = Dic62D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.101(C2xD4)192,321
C12.102(C2×D4) = Dic6.D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.102(C2xD4)192,326
C12.103(C2×D4) = S3×D4⋊C4φ: C2×D4/C22C22 ⊆ Aut C1248C12.103(C2xD4)192,328
C12.104(C2×D4) = C4⋊C419D6φ: C2×D4/C22C22 ⊆ Aut C1248C12.104(C2xD4)192,329
C12.105(C2×D4) = D4⋊(C4×S3)φ: C2×D4/C22C22 ⊆ Aut C1296C12.105(C2xD4)192,330
C12.106(C2×D4) = D42S3⋊C4φ: C2×D4/C22C22 ⊆ Aut C1296C12.106(C2xD4)192,331
C12.107(C2×D4) = D4⋊D12φ: C2×D4/C22C22 ⊆ Aut C1248C12.107(C2xD4)192,332
C12.108(C2×D4) = D6⋊D8φ: C2×D4/C22C22 ⊆ Aut C1296C12.108(C2xD4)192,334
C12.109(C2×D4) = D6⋊SD16φ: C2×D4/C22C22 ⊆ Aut C1296C12.109(C2xD4)192,337
C12.110(C2×D4) = C3⋊C81D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.110(C2xD4)192,339
C12.111(C2×D4) = C3⋊C8⋊D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.111(C2xD4)192,341
C12.112(C2×D4) = D123D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.112(C2xD4)192,345
C12.113(C2×D4) = D12.D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.113(C2xD4)192,346
C12.114(C2×D4) = Dic3⋊Q16φ: C2×D4/C22C22 ⊆ Aut C12192C12.114(C2xD4)192,354
C12.115(C2×D4) = Dic6.11D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.115(C2xD4)192,357
C12.116(C2×D4) = S3×Q8⋊C4φ: C2×D4/C22C22 ⊆ Aut C1296C12.116(C2xD4)192,360
C12.117(C2×D4) = (S3×Q8)⋊C4φ: C2×D4/C22C22 ⊆ Aut C1296C12.117(C2xD4)192,361
C12.118(C2×D4) = Q87(C4×S3)φ: C2×D4/C22C22 ⊆ Aut C1296C12.118(C2xD4)192,362
C12.119(C2×D4) = C4⋊C4.150D6φ: C2×D4/C22C22 ⊆ Aut C1296C12.119(C2xD4)192,363
C12.120(C2×D4) = Q83D12φ: C2×D4/C22C22 ⊆ Aut C1296C12.120(C2xD4)192,365
C12.121(C2×D4) = D62SD16φ: C2×D4/C22C22 ⊆ Aut C1296C12.121(C2xD4)192,366
C12.122(C2×D4) = Q8.11D12φ: C2×D4/C22C22 ⊆ Aut C1296C12.122(C2xD4)192,367
C12.123(C2×D4) = D6⋊Q16φ: C2×D4/C22C22 ⊆ Aut C1296C12.123(C2xD4)192,368
C12.124(C2×D4) = Q84D12φ: C2×D4/C22C22 ⊆ Aut C1296C12.124(C2xD4)192,369
C12.125(C2×D4) = C3⋊(C8⋊D4)φ: C2×D4/C22C22 ⊆ Aut C1296C12.125(C2xD4)192,371
C12.126(C2×D4) = D61Q16φ: C2×D4/C22C22 ⊆ Aut C1296C12.126(C2xD4)192,372
C12.127(C2×D4) = C3⋊C8.D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.127(C2xD4)192,375
C12.128(C2×D4) = Dic3⋊SD16φ: C2×D4/C22C22 ⊆ Aut C1296C12.128(C2xD4)192,377
C12.129(C2×D4) = D12.12D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.129(C2xD4)192,378
C12.130(C2×D4) = C88D12φ: C2×D4/C22C22 ⊆ Aut C1296C12.130(C2xD4)192,423
C12.131(C2×D4) = C247D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.131(C2xD4)192,424
C12.132(C2×D4) = C8.2D12φ: C2×D4/C22C22 ⊆ Aut C1296C12.132(C2xD4)192,426
C12.133(C2×D4) = D62D8φ: C2×D4/C22C22 ⊆ Aut C1296C12.133(C2xD4)192,442
C12.134(C2×D4) = C83D12φ: C2×D4/C22C22 ⊆ Aut C1296C12.134(C2xD4)192,445
C12.135(C2×D4) = D62Q16φ: C2×D4/C22C22 ⊆ Aut C1296C12.135(C2xD4)192,446
C12.136(C2×D4) = C24.18D4φ: C2×D4/C22C22 ⊆ Aut C12964-C12.136(C2xD4)192,455
C12.137(C2×D4) = C24.19D4φ: C2×D4/C22C22 ⊆ Aut C12484+C12.137(C2xD4)192,456
C12.138(C2×D4) = C24.42D4φ: C2×D4/C22C22 ⊆ Aut C12484C12.138(C2xD4)192,457
C12.139(C2×D4) = C2×C6.D8φ: C2×D4/C22C22 ⊆ Aut C1296C12.139(C2xD4)192,524
C12.140(C2×D4) = C4○D12⋊C4φ: C2×D4/C22C22 ⊆ Aut C1296C12.140(C2xD4)192,525
C12.141(C2×D4) = C2×C6.SD16φ: C2×D4/C22C22 ⊆ Aut C12192C12.141(C2xD4)192,528
C12.142(C2×D4) = C4⋊C436D6φ: C2×D4/C22C22 ⊆ Aut C1248C12.142(C2xD4)192,560
C12.143(C2×D4) = C4.(C2×D12)φ: C2×D4/C22C22 ⊆ Aut C1296C12.143(C2xD4)192,561
C12.144(C2×D4) = C4⋊C4.237D6φ: C2×D4/C22C22 ⊆ Aut C1296C12.144(C2xD4)192,563
C12.145(C2×D4) = D1216D4φ: C2×D4/C22C22 ⊆ Aut C1248C12.145(C2xD4)192,595
C12.146(C2×D4) = D1217D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.146(C2xD4)192,596
C12.147(C2×D4) = C3⋊C822D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.147(C2xD4)192,597
C12.148(C2×D4) = C4⋊D4⋊S3φ: C2×D4/C22C22 ⊆ Aut C1296C12.148(C2xD4)192,598
C12.149(C2×D4) = Dic617D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.149(C2xD4)192,599
C12.150(C2×D4) = C3⋊C823D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.150(C2xD4)192,600
C12.151(C2×D4) = C3⋊C85D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.151(C2xD4)192,601
C12.152(C2×D4) = D12.36D4φ: C2×D4/C22C22 ⊆ Aut C1248C12.152(C2xD4)192,605
C12.153(C2×D4) = D12.37D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.153(C2xD4)192,606
C12.154(C2×D4) = C3⋊C824D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.154(C2xD4)192,607
C12.155(C2×D4) = C3⋊C86D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.155(C2xD4)192,608
C12.156(C2×D4) = Dic6.37D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.156(C2xD4)192,609
C12.157(C2×D4) = C3⋊C8.29D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.157(C2xD4)192,610
C12.158(C2×D4) = C3⋊C8.6D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.158(C2xD4)192,611
C12.159(C2×D4) = C2×C3⋊D16φ: C2×D4/C22C22 ⊆ Aut C1296C12.159(C2xD4)192,705
C12.160(C2×D4) = D8.D6φ: C2×D4/C22C22 ⊆ Aut C12484C12.160(C2xD4)192,706
C12.161(C2×D4) = C2×D8.S3φ: C2×D4/C22C22 ⊆ Aut C1296C12.161(C2xD4)192,707
C12.162(C2×D4) = Dic3⋊D8φ: C2×D4/C22C22 ⊆ Aut C1296C12.162(C2xD4)192,709
C12.163(C2×D4) = (C6×D8).C2φ: C2×D4/C22C22 ⊆ Aut C1296C12.163(C2xD4)192,712
C12.164(C2×D4) = C2411D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.164(C2xD4)192,713
C12.165(C2×D4) = C24.22D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.165(C2xD4)192,714
C12.166(C2×D4) = D63D8φ: C2×D4/C22C22 ⊆ Aut C1296C12.166(C2xD4)192,716
C12.167(C2×D4) = Dic6⋊D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.167(C2xD4)192,717
C12.168(C2×D4) = C2412D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.168(C2xD4)192,718
C12.169(C2×D4) = C24.23D4φ: C2×D4/C22C22 ⊆ Aut C12484C12.169(C2xD4)192,719
C12.170(C2×D4) = Dic33SD16φ: C2×D4/C22C22 ⊆ Aut C1296C12.170(C2xD4)192,721
C12.171(C2×D4) = Dic35SD16φ: C2×D4/C22C22 ⊆ Aut C1296C12.171(C2xD4)192,722
C12.172(C2×D4) = (C3×D4).D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.172(C2xD4)192,724
C12.173(C2×D4) = (C3×Q8).D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.173(C2xD4)192,725
C12.174(C2×D4) = C24.31D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.174(C2xD4)192,726
C12.175(C2×D4) = C24.43D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.175(C2xD4)192,727
C12.176(C2×D4) = C2414D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.176(C2xD4)192,730
C12.177(C2×D4) = Dic6.16D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.177(C2xD4)192,732
C12.178(C2×D4) = C248D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.178(C2xD4)192,733
C12.179(C2×D4) = C249D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.179(C2xD4)192,735
C12.180(C2×D4) = C24.44D4φ: C2×D4/C22C22 ⊆ Aut C12484C12.180(C2xD4)192,736
C12.181(C2×D4) = C2×C8.6D6φ: C2×D4/C22C22 ⊆ Aut C1296C12.181(C2xD4)192,737
C12.182(C2×D4) = C24.27C23φ: C2×D4/C22C22 ⊆ Aut C12964C12.182(C2xD4)192,738
C12.183(C2×D4) = C2×C3⋊Q32φ: C2×D4/C22C22 ⊆ Aut C12192C12.183(C2xD4)192,739
C12.184(C2×D4) = Dic33Q16φ: C2×D4/C22C22 ⊆ Aut C12192C12.184(C2xD4)192,741
C12.185(C2×D4) = (C2×Q16)⋊S3φ: C2×D4/C22C22 ⊆ Aut C1296C12.185(C2xD4)192,744
C12.186(C2×D4) = D63Q16φ: C2×D4/C22C22 ⊆ Aut C1296C12.186(C2xD4)192,747
C12.187(C2×D4) = C24.36D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.187(C2xD4)192,748
C12.188(C2×D4) = C24.37D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.188(C2xD4)192,749
C12.189(C2×D4) = C24.28D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.189(C2xD4)192,750
C12.190(C2×D4) = C24.29D4φ: C2×D4/C22C22 ⊆ Aut C12964C12.190(C2xD4)192,751
C12.191(C2×D4) = Q16⋊D6φ: C2×D4/C22C22 ⊆ Aut C12484+C12.191(C2xD4)192,752
C12.192(C2×D4) = Q16.D6φ: C2×D4/C22C22 ⊆ Aut C12964C12.192(C2xD4)192,753
C12.193(C2×D4) = D8.9D6φ: C2×D4/C22C22 ⊆ Aut C12964-C12.193(C2xD4)192,754
C12.194(C2×D4) = D1218D4φ: C2×D4/C22C22 ⊆ Aut C12248+C12.194(C2xD4)192,757
C12.195(C2×D4) = M4(2).D6φ: C2×D4/C22C22 ⊆ Aut C12488+C12.195(C2xD4)192,758
C12.196(C2×D4) = M4(2).13D6φ: C2×D4/C22C22 ⊆ Aut C12488-C12.196(C2xD4)192,759
C12.197(C2×D4) = D12.38D4φ: C2×D4/C22C22 ⊆ Aut C12488-C12.197(C2xD4)192,760
C12.198(C2×D4) = D12.39D4φ: C2×D4/C22C22 ⊆ Aut C12488+C12.198(C2xD4)192,761
C12.199(C2×D4) = M4(2).15D6φ: C2×D4/C22C22 ⊆ Aut C12488+C12.199(C2xD4)192,762
C12.200(C2×D4) = M4(2).16D6φ: C2×D4/C22C22 ⊆ Aut C12968-C12.200(C2xD4)192,763
C12.201(C2×D4) = D12.40D4φ: C2×D4/C22C22 ⊆ Aut C12488-C12.201(C2xD4)192,764
C12.202(C2×D4) = C2×D4⋊Dic3φ: C2×D4/C22C22 ⊆ Aut C1296C12.202(C2xD4)192,773
C12.203(C2×D4) = (C6×D4)⋊6C4φ: C2×D4/C22C22 ⊆ Aut C1248C12.203(C2xD4)192,774
C12.204(C2×D4) = C2×C12.D4φ: C2×D4/C22C22 ⊆ Aut C1248C12.204(C2xD4)192,775
C12.205(C2×D4) = (C2×C6)⋊8D8φ: C2×D4/C22C22 ⊆ Aut C1248C12.205(C2xD4)192,776
C12.206(C2×D4) = (C3×D4).31D4φ: C2×D4/C22C22 ⊆ Aut C1248C12.206(C2xD4)192,777
C12.207(C2×D4) = C2×Q82Dic3φ: C2×D4/C22C22 ⊆ Aut C12192C12.207(C2xD4)192,783
C12.208(C2×D4) = (C6×Q8)⋊6C4φ: C2×D4/C22C22 ⊆ Aut C1296C12.208(C2xD4)192,784
C12.209(C2×D4) = C2×C12.10D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.209(C2xD4)192,785
C12.210(C2×D4) = (C3×Q8)⋊13D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.210(C2xD4)192,786
C12.211(C2×D4) = (C2×C6)⋊8Q16φ: C2×D4/C22C22 ⊆ Aut C1296C12.211(C2xD4)192,787
C12.212(C2×D4) = C4○D43Dic3φ: C2×D4/C22C22 ⊆ Aut C1296C12.212(C2xD4)192,791
C12.213(C2×D4) = C4○D44Dic3φ: C2×D4/C22C22 ⊆ Aut C1296C12.213(C2xD4)192,792
C12.214(C2×D4) = (C6×D4).16C4φ: C2×D4/C22C22 ⊆ Aut C12484C12.214(C2xD4)192,796
C12.215(C2×D4) = (C3×D4)⋊14D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.215(C2xD4)192,797
C12.216(C2×D4) = (C3×D4).32D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.216(C2xD4)192,798
C12.217(C2×D4) = 2+ 1+46S3φ: C2×D4/C22C22 ⊆ Aut C12248+C12.217(C2xD4)192,800
C12.218(C2×D4) = 2+ 1+4.4S3φ: C2×D4/C22C22 ⊆ Aut C12488-C12.218(C2xD4)192,801
C12.219(C2×D4) = 2- 1+44S3φ: C2×D4/C22C22 ⊆ Aut C12488+C12.219(C2xD4)192,804
C12.220(C2×D4) = 2- 1+4.2S3φ: C2×D4/C22C22 ⊆ Aut C12488-C12.220(C2xD4)192,805
C12.221(C2×D4) = C2×C4.D12φ: C2×D4/C22C22 ⊆ Aut C1296C12.221(C2xD4)192,1068
C12.222(C2×D4) = C6.2+ 1+4φ: C2×D4/C22C22 ⊆ Aut C1296C12.222(C2xD4)192,1069
C12.223(C2×D4) = C4210D6φ: C2×D4/C22C22 ⊆ Aut C1248C12.223(C2xD4)192,1083
C12.224(C2×D4) = Dic619D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.224(C2xD4)192,1157
C12.225(C2×D4) = Dic620D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.225(C2xD4)192,1158
C12.226(C2×D4) = C4⋊C421D6φ: C2×D4/C22C22 ⊆ Aut C1248C12.226(C2xD4)192,1165
C12.227(C2×D4) = C6.382+ 1+4φ: C2×D4/C22C22 ⊆ Aut C1248C12.227(C2xD4)192,1166
C12.228(C2×D4) = C6.722- 1+4φ: C2×D4/C22C22 ⊆ Aut C1296C12.228(C2xD4)192,1167
C12.229(C2×D4) = D1220D4φ: C2×D4/C22C22 ⊆ Aut C1248C12.229(C2xD4)192,1171
C12.230(C2×D4) = S3×C22⋊Q8φ: C2×D4/C22C22 ⊆ Aut C1248C12.230(C2xD4)192,1185
C12.231(C2×D4) = C4⋊C426D6φ: C2×D4/C22C22 ⊆ Aut C1248C12.231(C2xD4)192,1186
C12.232(C2×D4) = C6.162- 1+4φ: C2×D4/C22C22 ⊆ Aut C1296C12.232(C2xD4)192,1187
C12.233(C2×D4) = C6.172- 1+4φ: C2×D4/C22C22 ⊆ Aut C1296C12.233(C2xD4)192,1188
C12.234(C2×D4) = D1221D4φ: C2×D4/C22C22 ⊆ Aut C1248C12.234(C2xD4)192,1189
C12.235(C2×D4) = D1222D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.235(C2xD4)192,1190
C12.236(C2×D4) = Dic621D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.236(C2xD4)192,1191
C12.237(C2×D4) = Dic622D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.237(C2xD4)192,1192
C12.238(C2×D4) = C2×C8⋊D6φ: C2×D4/C22C22 ⊆ Aut C1248C12.238(C2xD4)192,1305
C12.239(C2×D4) = C24.9C23φ: C2×D4/C22C22 ⊆ Aut C12484C12.239(C2xD4)192,1307
C12.240(C2×D4) = S3×C8⋊C22φ: C2×D4/C22C22 ⊆ Aut C12248+C12.240(C2xD4)192,1331
C12.241(C2×D4) = D84D6φ: C2×D4/C22C22 ⊆ Aut C12488-C12.241(C2xD4)192,1332
C12.242(C2×D4) = D85D6φ: C2×D4/C22C22 ⊆ Aut C12488+C12.242(C2xD4)192,1333
C12.243(C2×D4) = D86D6φ: C2×D4/C22C22 ⊆ Aut C12488-C12.243(C2xD4)192,1334
C12.244(C2×D4) = S3×C8.C22φ: C2×D4/C22C22 ⊆ Aut C12488-C12.244(C2xD4)192,1335
C12.245(C2×D4) = D24⋊C22φ: C2×D4/C22C22 ⊆ Aut C12488+C12.245(C2xD4)192,1336
C12.246(C2×D4) = C24.C23φ: C2×D4/C22C22 ⊆ Aut C12488+C12.246(C2xD4)192,1337
C12.247(C2×D4) = SD16.D6φ: C2×D4/C22C22 ⊆ Aut C12968-C12.247(C2xD4)192,1338
C12.248(C2×D4) = C22×D4⋊S3φ: C2×D4/C22C22 ⊆ Aut C1296C12.248(C2xD4)192,1351
C12.249(C2×D4) = C2×D126C22φ: C2×D4/C22C22 ⊆ Aut C1248C12.249(C2xD4)192,1352
C12.250(C2×D4) = C22×D4.S3φ: C2×D4/C22C22 ⊆ Aut C1296C12.250(C2xD4)192,1353
C12.251(C2×D4) = C2×C23.12D6φ: C2×D4/C22C22 ⊆ Aut C1296C12.251(C2xD4)192,1356
C12.252(C2×D4) = C24.52D6φ: C2×D4/C22C22 ⊆ Aut C1248C12.252(C2xD4)192,1364
C12.253(C2×D4) = C24.53D6φ: C2×D4/C22C22 ⊆ Aut C1248C12.253(C2xD4)192,1365
C12.254(C2×D4) = C22×Q82S3φ: C2×D4/C22C22 ⊆ Aut C1296C12.254(C2xD4)192,1366
C12.255(C2×D4) = C2×Q8.11D6φ: C2×D4/C22C22 ⊆ Aut C1296C12.255(C2xD4)192,1367
C12.256(C2×D4) = C22×C3⋊Q16φ: C2×D4/C22C22 ⊆ Aut C12192C12.256(C2xD4)192,1368
C12.257(C2×D4) = C2×Dic3⋊Q8φ: C2×D4/C22C22 ⊆ Aut C12192C12.257(C2xD4)192,1369
C12.258(C2×D4) = C2×D63Q8φ: C2×D4/C22C22 ⊆ Aut C1296C12.258(C2xD4)192,1372
C12.259(C2×D4) = C2×C12.23D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.259(C2xD4)192,1373
C12.260(C2×D4) = Q8×C3⋊D4φ: C2×D4/C22C22 ⊆ Aut C1296C12.260(C2xD4)192,1374
C12.261(C2×D4) = C6.442- 1+4φ: C2×D4/C22C22 ⊆ Aut C1296C12.261(C2xD4)192,1375
C12.262(C2×D4) = C6.452- 1+4φ: C2×D4/C22C22 ⊆ Aut C1296C12.262(C2xD4)192,1376
C12.263(C2×D4) = C2×Q8.13D6φ: C2×D4/C22C22 ⊆ Aut C1296C12.263(C2xD4)192,1380
C12.264(C2×D4) = C6.1042- 1+4φ: C2×D4/C22C22 ⊆ Aut C1296C12.264(C2xD4)192,1383
C12.265(C2×D4) = (C2×D4)⋊43D6φ: C2×D4/C22C22 ⊆ Aut C1248C12.265(C2xD4)192,1387
C12.266(C2×D4) = C6.1452+ 1+4φ: C2×D4/C22C22 ⊆ Aut C1248C12.266(C2xD4)192,1388
C12.267(C2×D4) = C6.1072- 1+4φ: C2×D4/C22C22 ⊆ Aut C1296C12.267(C2xD4)192,1390
C12.268(C2×D4) = C6.1482+ 1+4φ: C2×D4/C22C22 ⊆ Aut C1296C12.268(C2xD4)192,1393
C12.269(C2×D4) = D12.32C23φ: C2×D4/C22C22 ⊆ Aut C12488+C12.269(C2xD4)192,1394
C12.270(C2×D4) = D12.33C23φ: C2×D4/C22C22 ⊆ Aut C12488-C12.270(C2xD4)192,1395
C12.271(C2×D4) = D12.34C23φ: C2×D4/C22C22 ⊆ Aut C12488+C12.271(C2xD4)192,1396
C12.272(C2×D4) = D12.35C23φ: C2×D4/C22C22 ⊆ Aut C12968-C12.272(C2xD4)192,1397
C12.273(C2×D4) = C85D12φ: C2×D4/C2×C4C2 ⊆ Aut C1296C12.273(C2xD4)192,252
C12.274(C2×D4) = C124D8φ: C2×D4/C2×C4C2 ⊆ Aut C1296C12.274(C2xD4)192,254
C12.275(C2×D4) = C8.8D12φ: C2×D4/C2×C4C2 ⊆ Aut C1296C12.275(C2xD4)192,255
C12.276(C2×D4) = C124Q16φ: C2×D4/C2×C4C2 ⊆ Aut C12192C12.276(C2xD4)192,258
C12.277(C2×D4) = C8⋊D12φ: C2×D4/C2×C4C2 ⊆ Aut C1296C12.277(C2xD4)192,271
C12.278(C2×D4) = C8.D12φ: C2×D4/C2×C4C2 ⊆ Aut C1296C12.278(C2xD4)192,274
C12.279(C2×D4) = C2×D48φ: C2×D4/C2×C4C2 ⊆ Aut C1296C12.279(C2xD4)192,461
C12.280(C2×D4) = C2×C48⋊C2φ: C2×D4/C2×C4C2 ⊆ Aut C1296C12.280(C2xD4)192,462
C12.281(C2×D4) = D487C2φ: C2×D4/C2×C4C2 ⊆ Aut C12962C12.281(C2xD4)192,463
C12.282(C2×D4) = C2×Dic24φ: C2×D4/C2×C4C2 ⊆ Aut C12192C12.282(C2xD4)192,464
C12.283(C2×D4) = C16⋊D6φ: C2×D4/C2×C4C2 ⊆ Aut C12484+C12.283(C2xD4)192,467
C12.284(C2×D4) = C16.D6φ: C2×D4/C2×C4C2 ⊆ Aut C12964-C12.284(C2xD4)192,468
C12.285(C2×D4) = C2×C122Q8φ: C2×D4/C2×C4C2 ⊆ Aut C12192C12.285(C2xD4)192,1027
C12.286(C2×D4) = C2×C427S3φ: C2×D4/C2×C4C2 ⊆ Aut C1296C12.286(C2xD4)192,1035
C12.287(C2×D4) = C4211D6φ: C2×D4/C2×C4C2 ⊆ Aut C1248C12.287(C2xD4)192,1084
C12.288(C2×D4) = C42.92D6φ: C2×D4/C2×C4C2 ⊆ Aut C1296C12.288(C2xD4)192,1085
C12.289(C2×D4) = C22×C24⋊C2φ: C2×D4/C2×C4C2 ⊆ Aut C1296C12.289(C2xD4)192,1298
C12.290(C2×D4) = C22×D24φ: C2×D4/C2×C4C2 ⊆ Aut C1296C12.290(C2xD4)192,1299
C12.291(C2×D4) = C2×C4○D24φ: C2×D4/C2×C4C2 ⊆ Aut C1296C12.291(C2xD4)192,1300
C12.292(C2×D4) = C22×Dic12φ: C2×D4/C2×C4C2 ⊆ Aut C12192C12.292(C2xD4)192,1301
C12.293(C2×D4) = C2×C8.D6φ: C2×D4/C2×C4C2 ⊆ Aut C1296C12.293(C2xD4)192,1306
C12.294(C2×D4) = C8×D12φ: C2×D4/C2×C4C2 ⊆ Aut C1296C12.294(C2xD4)192,245
C12.295(C2×D4) = C86D12φ: C2×D4/C2×C4C2 ⊆ Aut C1296C12.295(C2xD4)192,247
C12.296(C2×D4) = D2411C4φ: C2×D4/C2×C4C2 ⊆ Aut C12482C12.296(C2xD4)192,259
C12.297(C2×D4) = C89D12φ: C2×D4/C2×C4C2 ⊆ Aut C1296C12.297(C2xD4)192,265
C12.298(C2×D4) = D244C4φ: C2×D4/C2×C4C2 ⊆ Aut C12484C12.298(C2xD4)192,276
C12.299(C2×D4) = C2×C12⋊C8φ: C2×D4/C2×C4C2 ⊆ Aut C12192C12.299(C2xD4)192,482
C12.300(C2×D4) = C127M4(2)φ: C2×D4/C2×C4C2 ⊆ Aut C1296C12.300(C2xD4)192,483
C12.301(C2×D4) = C2×C424S3φ: C2×D4/C2×C4C2 ⊆ Aut C1248C12.301(C2xD4)192,486
C12.302(C2×D4) = C42.43D6φ: C2×D4/C2×C4C2 ⊆ Aut C1296C12.302(C2xD4)192,558
C12.303(C2×D4) = C426D6φ: C2×D4/C2×C4C2 ⊆ Aut C12484C12.303(C2xD4)192,564
C12.304(C2×D4) = C2×C24.C4φ: C2×D4/C2×C4C2 ⊆ Aut C1296C12.304(C2xD4)192,666
C12.305(C2×D4) = C23.9Dic6φ: C2×D4/C2×C4C2 ⊆ Aut C12484C12.305(C2xD4)192,684
C12.306(C2×D4) = D66M4(2)φ: C2×D4/C2×C4C2 ⊆ Aut C1248C12.306(C2xD4)192,685
C12.307(C2×D4) = C42.276D6φ: C2×D4/C2×C4C2 ⊆ Aut C1296C12.307(C2xD4)192,1036
C12.308(C2×D4) = C3×C85D4φ: C2×D4/C2×C4C2 ⊆ Aut C1296C12.308(C2xD4)192,925
C12.309(C2×D4) = C3×C84D4φ: C2×D4/C2×C4C2 ⊆ Aut C1296C12.309(C2xD4)192,926
C12.310(C2×D4) = C3×C4⋊Q16φ: C2×D4/C2×C4C2 ⊆ Aut C12192C12.310(C2xD4)192,927
C12.311(C2×D4) = C3×C8.12D4φ: C2×D4/C2×C4C2 ⊆ Aut C1296C12.311(C2xD4)192,928
C12.312(C2×D4) = C3×C83D4φ: C2×D4/C2×C4C2 ⊆ Aut C1296C12.312(C2xD4)192,929
C12.313(C2×D4) = C3×C8.2D4φ: C2×D4/C2×C4C2 ⊆ Aut C1296C12.313(C2xD4)192,930
C12.314(C2×D4) = C6×D16φ: C2×D4/C2×C4C2 ⊆ Aut C1296C12.314(C2xD4)192,938
C12.315(C2×D4) = C6×SD32φ: C2×D4/C2×C4C2 ⊆ Aut C1296C12.315(C2xD4)192,939
C12.316(C2×D4) = C6×Q32φ: C2×D4/C2×C4C2 ⊆ Aut C12192C12.316(C2xD4)192,940
C12.317(C2×D4) = C3×C4○D16φ: C2×D4/C2×C4C2 ⊆ Aut C12962C12.317(C2xD4)192,941
C12.318(C2×D4) = C3×C16⋊C22φ: C2×D4/C2×C4C2 ⊆ Aut C12484C12.318(C2xD4)192,942
C12.319(C2×D4) = C3×Q32⋊C2φ: C2×D4/C2×C4C2 ⊆ Aut C12964C12.319(C2xD4)192,943
C12.320(C2×D4) = C6×C4.4D4φ: C2×D4/C2×C4C2 ⊆ Aut C1296C12.320(C2xD4)192,1415
C12.321(C2×D4) = C6×C4⋊Q8φ: C2×D4/C2×C4C2 ⊆ Aut C12192C12.321(C2xD4)192,1420
C12.322(C2×D4) = C3×C22.26C24φ: C2×D4/C2×C4C2 ⊆ Aut C1296C12.322(C2xD4)192,1421
C12.323(C2×D4) = C3×C22.29C24φ: C2×D4/C2×C4C2 ⊆ Aut C1248C12.323(C2xD4)192,1424
C12.324(C2×D4) = C3×C23.38C23φ: C2×D4/C2×C4C2 ⊆ Aut C1296C12.324(C2xD4)192,1425
C12.325(C2×D4) = C2×C6×D8φ: C2×D4/C2×C4C2 ⊆ Aut C1296C12.325(C2xD4)192,1458
C12.326(C2×D4) = C2×C6×SD16φ: C2×D4/C2×C4C2 ⊆ Aut C1296C12.326(C2xD4)192,1459
C12.327(C2×D4) = C2×C6×Q16φ: C2×D4/C2×C4C2 ⊆ Aut C12192C12.327(C2xD4)192,1460
C12.328(C2×D4) = C6×C4○D8φ: C2×D4/C2×C4C2 ⊆ Aut C1296C12.328(C2xD4)192,1461
C12.329(C2×D4) = C6×C8⋊C22φ: C2×D4/C2×C4C2 ⊆ Aut C1248C12.329(C2xD4)192,1462
C12.330(C2×D4) = C6×C8.C22φ: C2×D4/C2×C4C2 ⊆ Aut C1296C12.330(C2xD4)192,1463
C12.331(C2×D4) = D12.31D4φ: C2×D4/D4C2 ⊆ Aut C1248C12.331(C2xD4)192,290
C12.332(C2×D4) = D1213D4φ: C2×D4/D4C2 ⊆ Aut C1248C12.332(C2xD4)192,291
C12.333(C2×D4) = D12.32D4φ: C2×D4/D4C2 ⊆ Aut C1296C12.333(C2xD4)192,292
C12.334(C2×D4) = D1214D4φ: C2×D4/D4C2 ⊆ Aut C1296C12.334(C2xD4)192,293
C12.335(C2×D4) = Dic614D4φ: C2×D4/D4C2 ⊆ Aut C1296C12.335(C2xD4)192,297
C12.336(C2×D4) = Dic6.32D4φ: C2×D4/D4C2 ⊆ Aut C1296C12.336(C2xD4)192,298
C12.337(C2×D4) = Q85D12φ: C2×D4/D4C2 ⊆ Aut C12244+C12.337(C2xD4)192,381
C12.338(C2×D4) = C12⋊SD16φ: C2×D4/D4C2 ⊆ Aut C1296C12.338(C2xD4)192,400
C12.339(C2×D4) = C4⋊D24φ: C2×D4/D4C2 ⊆ Aut C1296C12.339(C2xD4)192,402
C12.340(C2×D4) = D12.19D4φ: C2×D4/D4C2 ⊆ Aut C1296C12.340(C2xD4)192,403
C12.341(C2×D4) = C42.36D6φ: C2×D4/D4C2 ⊆ Aut C1296C12.341(C2xD4)192,404
C12.342(C2×D4) = Dic68D4φ: C2×D4/D4C2 ⊆ Aut C1296C12.342(C2xD4)192,407
C12.343(C2×D4) = C4⋊Dic12φ: C2×D4/D4C2 ⊆ Aut C12192C12.343(C2xD4)192,408
C12.344(C2×D4) = D4×Dic6φ: C2×D4/D4C2 ⊆ Aut C1296C12.344(C2xD4)192,1096
C12.345(C2×D4) = D1223D4φ: C2×D4/D4C2 ⊆ Aut C1248C12.345(C2xD4)192,1109
C12.346(C2×D4) = D1224D4φ: C2×D4/D4C2 ⊆ Aut C1296C12.346(C2xD4)192,1110
C12.347(C2×D4) = Dic623D4φ: C2×D4/D4C2 ⊆ Aut C1296C12.347(C2xD4)192,1111
C12.348(C2×D4) = Dic624D4φ: C2×D4/D4C2 ⊆ Aut C1296C12.348(C2xD4)192,1112
C12.349(C2×D4) = D815D6φ: C2×D4/D4C2 ⊆ Aut C12484+C12.349(C2xD4)192,1328
C12.350(C2×D4) = D811D6φ: C2×D4/D4C2 ⊆ Aut C12484C12.350(C2xD4)192,1329
C12.351(C2×D4) = D8.10D6φ: C2×D4/D4C2 ⊆ Aut C12964-C12.351(C2xD4)192,1330
C12.352(C2×D4) = S3×C22⋊C8φ: C2×D4/D4C2 ⊆ Aut C1248C12.352(C2xD4)192,283
C12.353(C2×D4) = C3⋊D4⋊C8φ: C2×D4/D4C2 ⊆ Aut C1296C12.353(C2xD4)192,284
C12.354(C2×D4) = D6⋊M4(2)φ: C2×D4/D4C2 ⊆ Aut C1248C12.354(C2xD4)192,285
C12.355(C2×D4) = D6⋊C8⋊C2φ: C2×D4/D4C2 ⊆ Aut C1296C12.355(C2xD4)192,286
C12.356(C2×D4) = D62M4(2)φ: C2×D4/D4C2 ⊆ Aut C1296C12.356(C2xD4)192,287
C12.357(C2×D4) = Dic3⋊M4(2)φ: C2×D4/D4C2 ⊆ Aut C1296C12.357(C2xD4)192,288
C12.358(C2×D4) = C3⋊C826D4φ: C2×D4/D4C2 ⊆ Aut C1296C12.358(C2xD4)192,289
C12.359(C2×D4) = S3×C4≀C2φ: C2×D4/D4C2 ⊆ Aut C12244C12.359(C2xD4)192,379
C12.360(C2×D4) = C423D6φ: C2×D4/D4C2 ⊆ Aut C12484C12.360(C2xD4)192,380
C12.361(C2×D4) = M4(2).22D6φ: C2×D4/D4C2 ⊆ Aut C12484C12.361(C2xD4)192,382
C12.362(C2×D4) = C42.196D6φ: C2×D4/D4C2 ⊆ Aut C12484C12.362(C2xD4)192,383
C12.363(C2×D4) = S3×C4⋊C8φ: C2×D4/D4C2 ⊆ Aut C1296C12.363(C2xD4)192,391
C12.364(C2×D4) = D12⋊C8φ: C2×D4/D4C2 ⊆ Aut C1296C12.364(C2xD4)192,393
C12.365(C2×D4) = D63M4(2)φ: C2×D4/D4C2 ⊆ Aut C1296C12.365(C2xD4)192,395
C12.366(C2×D4) = C12⋊M4(2)φ: C2×D4/D4C2 ⊆ Aut C1296C12.366(C2xD4)192,396
C12.367(C2×D4) = C122M4(2)φ: C2×D4/D4C2 ⊆ Aut C1296C12.367(C2xD4)192,397
C12.368(C2×D4) = C42.30D6φ: C2×D4/D4C2 ⊆ Aut C1296C12.368(C2xD4)192,398
C12.369(C2×D4) = S3×C8.C4φ: C2×D4/D4C2 ⊆ Aut C12484C12.369(C2xD4)192,451
C12.370(C2×D4) = M4(2).25D6φ: C2×D4/D4C2 ⊆ Aut C12484C12.370(C2xD4)192,452
C12.371(C2×D4) = D2410C4φ: C2×D4/D4C2 ⊆ Aut C12484C12.371(C2xD4)192,453
C12.372(C2×D4) = D247C4φ: C2×D4/D4C2 ⊆ Aut C12484C12.372(C2xD4)192,454
C12.373(C2×D4) = D4×C3⋊C8φ: C2×D4/D4C2 ⊆ Aut C1296C12.373(C2xD4)192,569
C12.374(C2×D4) = C42.47D6φ: C2×D4/D4C2 ⊆ Aut C1296C12.374(C2xD4)192,570
C12.375(C2×D4) = C123M4(2)φ: C2×D4/D4C2 ⊆ Aut C1296C12.375(C2xD4)192,571
C12.376(C2×D4) = D85Dic3φ: C2×D4/D4C2 ⊆ Aut C12484C12.376(C2xD4)192,755
C12.377(C2×D4) = D84Dic3φ: C2×D4/D4C2 ⊆ Aut C12484C12.377(C2xD4)192,756
C12.378(C2×D4) = C4214D6φ: C2×D4/D4C2 ⊆ Aut C1248C12.378(C2xD4)192,1106
C12.379(C2×D4) = C42.228D6φ: C2×D4/D4C2 ⊆ Aut C1296C12.379(C2xD4)192,1107
C12.380(C2×D4) = S3×C4○D8φ: C2×D4/D4C2 ⊆ Aut C12484C12.380(C2xD4)192,1326
C12.381(C2×D4) = SD16⋊D6φ: C2×D4/D4C2 ⊆ Aut C12484C12.381(C2xD4)192,1327
C12.382(C2×D4) = C3×C22⋊D8φ: C2×D4/D4C2 ⊆ Aut C1248C12.382(C2xD4)192,880
C12.383(C2×D4) = C3×Q8⋊D4φ: C2×D4/D4C2 ⊆ Aut C1296C12.383(C2xD4)192,881
C12.384(C2×D4) = C3×D4⋊D4φ: C2×D4/D4C2 ⊆ Aut C1296C12.384(C2xD4)192,882
C12.385(C2×D4) = C3×C22⋊SD16φ: C2×D4/D4C2 ⊆ Aut C1248C12.385(C2xD4)192,883
C12.386(C2×D4) = C3×C22⋊Q16φ: C2×D4/D4C2 ⊆ Aut C1296C12.386(C2xD4)192,884
C12.387(C2×D4) = C3×D4.7D4φ: C2×D4/D4C2 ⊆ Aut C1296C12.387(C2xD4)192,885
C12.388(C2×D4) = C3×D44D4φ: C2×D4/D4C2 ⊆ Aut C12244C12.388(C2xD4)192,886
C12.389(C2×D4) = C3×D4.8D4φ: C2×D4/D4C2 ⊆ Aut C12484C12.389(C2xD4)192,887
C12.390(C2×D4) = C3×D4.9D4φ: C2×D4/D4C2 ⊆ Aut C12484C12.390(C2xD4)192,888
C12.391(C2×D4) = C3×D4.10D4φ: C2×D4/D4C2 ⊆ Aut C12484C12.391(C2xD4)192,889
C12.392(C2×D4) = C3×C4⋊D8φ: C2×D4/D4C2 ⊆ Aut C1296C12.392(C2xD4)192,892
C12.393(C2×D4) = C3×C4⋊SD16φ: C2×D4/D4C2 ⊆ Aut C1296C12.393(C2xD4)192,893
C12.394(C2×D4) = C3×D4.D4φ: C2×D4/D4C2 ⊆ Aut C1296C12.394(C2xD4)192,894
C12.395(C2×D4) = C3×C42Q16φ: C2×D4/D4C2 ⊆ Aut C12192C12.395(C2xD4)192,895
C12.396(C2×D4) = C3×D4.2D4φ: C2×D4/D4C2 ⊆ Aut C1296C12.396(C2xD4)192,896
C12.397(C2×D4) = C3×Q8.D4φ: C2×D4/D4C2 ⊆ Aut C1296C12.397(C2xD4)192,897
C12.398(C2×D4) = C3×D4.3D4φ: C2×D4/D4C2 ⊆ Aut C12484C12.398(C2xD4)192,904
C12.399(C2×D4) = C3×D4.4D4φ: C2×D4/D4C2 ⊆ Aut C12484C12.399(C2xD4)192,905
C12.400(C2×D4) = C3×D4.5D4φ: C2×D4/D4C2 ⊆ Aut C12964C12.400(C2xD4)192,906
C12.401(C2×D4) = C3×D45D4φ: C2×D4/D4C2 ⊆ Aut C1248C12.401(C2xD4)192,1435
C12.402(C2×D4) = C3×D46D4φ: C2×D4/D4C2 ⊆ Aut C1296C12.402(C2xD4)192,1436
C12.403(C2×D4) = C3×Q85D4φ: C2×D4/D4C2 ⊆ Aut C1296C12.403(C2xD4)192,1437
C12.404(C2×D4) = C3×D4×Q8φ: C2×D4/D4C2 ⊆ Aut C1296C12.404(C2xD4)192,1438
C12.405(C2×D4) = C3×Q86D4φ: C2×D4/D4C2 ⊆ Aut C1296C12.405(C2xD4)192,1439
C12.406(C2×D4) = C3×D4○D8φ: C2×D4/D4C2 ⊆ Aut C12484C12.406(C2xD4)192,1465
C12.407(C2×D4) = C3×D4○SD16φ: C2×D4/D4C2 ⊆ Aut C12484C12.407(C2xD4)192,1466
C12.408(C2×D4) = C3×Q8○D8φ: C2×D4/D4C2 ⊆ Aut C12964C12.408(C2xD4)192,1467
C12.409(C2×D4) = C2×C2.Dic12φ: C2×D4/C23C2 ⊆ Aut C12192C12.409(C2xD4)192,662
C12.410(C2×D4) = C2×C2.D24φ: C2×D4/C23C2 ⊆ Aut C1296C12.410(C2xD4)192,671
C12.411(C2×D4) = C23.28D12φ: C2×D4/C23C2 ⊆ Aut C1296C12.411(C2xD4)192,672
C12.412(C2×D4) = C2430D4φ: C2×D4/C23C2 ⊆ Aut C1296C12.412(C2xD4)192,673
C12.413(C2×D4) = C2429D4φ: C2×D4/C23C2 ⊆ Aut C1296C12.413(C2xD4)192,674
C12.414(C2×D4) = C24.82D4φ: C2×D4/C23C2 ⊆ Aut C1296C12.414(C2xD4)192,675
C12.415(C2×D4) = C23.51D12φ: C2×D4/C23C2 ⊆ Aut C1296C12.415(C2xD4)192,679
C12.416(C2×D4) = C2×C12.46D4φ: C2×D4/C23C2 ⊆ Aut C1248C12.416(C2xD4)192,689
C12.417(C2×D4) = C23.53D12φ: C2×D4/C23C2 ⊆ Aut C1248C12.417(C2xD4)192,690
C12.418(C2×D4) = M4(2).31D6φ: C2×D4/C23C2 ⊆ Aut C12484C12.418(C2xD4)192,691
C12.419(C2×D4) = C23.54D12φ: C2×D4/C23C2 ⊆ Aut C1296C12.419(C2xD4)192,692
C12.420(C2×D4) = C242D4φ: C2×D4/C23C2 ⊆ Aut C1296C12.420(C2xD4)192,693
C12.421(C2×D4) = C243D4φ: C2×D4/C23C2 ⊆ Aut C1296C12.421(C2xD4)192,694
C12.422(C2×D4) = C2×C12.47D4φ: C2×D4/C23C2 ⊆ Aut C1296C12.422(C2xD4)192,695
C12.423(C2×D4) = C24.4D4φ: C2×D4/C23C2 ⊆ Aut C1296C12.423(C2xD4)192,696
C12.424(C2×D4) = C2×C12.48D4φ: C2×D4/C23C2 ⊆ Aut C1296C12.424(C2xD4)192,1343
C12.425(C2×D4) = C24.83D6φ: C2×D4/C23C2 ⊆ Aut C1248C12.425(C2xD4)192,1350
C12.426(C2×D4) = C2×D4⋊D6φ: C2×D4/C23C2 ⊆ Aut C1248C12.426(C2xD4)192,1379
C12.427(C2×D4) = C12.C24φ: C2×D4/C23C2 ⊆ Aut C12484C12.427(C2xD4)192,1381
C12.428(C2×D4) = C2×Q8.14D6φ: C2×D4/C23C2 ⊆ Aut C1296C12.428(C2xD4)192,1382
C12.429(C2×D4) = C6.1052- 1+4φ: C2×D4/C23C2 ⊆ Aut C1296C12.429(C2xD4)192,1384
C12.430(C2×D4) = C6.1462+ 1+4φ: C2×D4/C23C2 ⊆ Aut C1248C12.430(C2xD4)192,1389
C12.431(C2×D4) = C6.1082- 1+4φ: C2×D4/C23C2 ⊆ Aut C1296C12.431(C2xD4)192,1392
C12.432(C2×D4) = C2×Dic3⋊C8φ: C2×D4/C23C2 ⊆ Aut C12192C12.432(C2xD4)192,658
C12.433(C2×D4) = Dic3⋊C8⋊C2φ: C2×D4/C23C2 ⊆ Aut C1296C12.433(C2xD4)192,661
C12.434(C2×D4) = C2×D6⋊C8φ: C2×D4/C23C2 ⊆ Aut C1296C12.434(C2xD4)192,667
C12.435(C2×D4) = C8×C3⋊D4φ: C2×D4/C23C2 ⊆ Aut C1296C12.435(C2xD4)192,668
C12.436(C2×D4) = (C22×C8)⋊7S3φ: C2×D4/C23C2 ⊆ Aut C1296C12.436(C2xD4)192,669
C12.437(C2×D4) = C2433D4φ: C2×D4/C23C2 ⊆ Aut C1296C12.437(C2xD4)192,670
C12.438(C2×D4) = Dic34M4(2)φ: C2×D4/C23C2 ⊆ Aut C1296C12.438(C2xD4)192,677
C12.439(C2×D4) = C12.88(C2×Q8)φ: C2×D4/C23C2 ⊆ Aut C1296C12.439(C2xD4)192,678
C12.440(C2×D4) = C2×C12.53D4φ: C2×D4/C23C2 ⊆ Aut C1296C12.440(C2xD4)192,682
C12.441(C2×D4) = C23.8Dic6φ: C2×D4/C23C2 ⊆ Aut C12484C12.441(C2xD4)192,683
C12.442(C2×D4) = C24⋊D4φ: C2×D4/C23C2 ⊆ Aut C1296C12.442(C2xD4)192,686
C12.443(C2×D4) = C2421D4φ: C2×D4/C23C2 ⊆ Aut C1296C12.443(C2xD4)192,687
C12.444(C2×D4) = D6⋊C840C2φ: C2×D4/C23C2 ⊆ Aut C1296C12.444(C2xD4)192,688
C12.445(C2×D4) = C2×D12⋊C4φ: C2×D4/C23C2 ⊆ Aut C1248C12.445(C2xD4)192,697
C12.446(C2×D4) = M4(2)⋊24D6φ: C2×D4/C23C2 ⊆ Aut C12484C12.446(C2xD4)192,698
C12.447(C2×D4) = C24.100D4φ: C2×D4/C23C2 ⊆ Aut C12484C12.447(C2xD4)192,703
C12.448(C2×D4) = C24.54D4φ: C2×D4/C23C2 ⊆ Aut C12484C12.448(C2xD4)192,704
C12.449(C2×D4) = C2×C12.55D4φ: C2×D4/C23C2 ⊆ Aut C1296C12.449(C2xD4)192,765
C12.450(C2×D4) = C24.6Dic3φ: C2×D4/C23C2 ⊆ Aut C1248C12.450(C2xD4)192,766
C12.451(C2×D4) = (C6×D4).11C4φ: C2×D4/C23C2 ⊆ Aut C1296C12.451(C2xD4)192,793
C12.452(C2×D4) = C2×Q83Dic3φ: C2×D4/C23C2 ⊆ Aut C1248C12.452(C2xD4)192,794
C12.453(C2×D4) = (C6×D4)⋊9C4φ: C2×D4/C23C2 ⊆ Aut C12484C12.453(C2xD4)192,795
C12.454(C2×D4) = (C2×C12)⋊17D4φ: C2×D4/C23C2 ⊆ Aut C1296C12.454(C2xD4)192,1391
C12.455(C2×D4) = C6×C4.D4φ: C2×D4/C23C2 ⊆ Aut C1248C12.455(C2xD4)192,844
C12.456(C2×D4) = C6×C4.10D4φ: C2×D4/C23C2 ⊆ Aut C1296C12.456(C2xD4)192,845
C12.457(C2×D4) = C3×M4(2).8C22φ: C2×D4/C23C2 ⊆ Aut C12484C12.457(C2xD4)192,846
C12.458(C2×D4) = C6×D4⋊C4φ: C2×D4/C23C2 ⊆ Aut C1296C12.458(C2xD4)192,847
C12.459(C2×D4) = C6×Q8⋊C4φ: C2×D4/C23C2 ⊆ Aut C12192C12.459(C2xD4)192,848
C12.460(C2×D4) = C3×C23.24D4φ: C2×D4/C23C2 ⊆ Aut C1296C12.460(C2xD4)192,849
C12.461(C2×D4) = C3×C23.36D4φ: C2×D4/C23C2 ⊆ Aut C1296C12.461(C2xD4)192,850
C12.462(C2×D4) = C3×C23.37D4φ: C2×D4/C23C2 ⊆ Aut C1248C12.462(C2xD4)192,851
C12.463(C2×D4) = C3×C23.38D4φ: C2×D4/C23C2 ⊆ Aut C1296C12.463(C2xD4)192,852
C12.464(C2×D4) = C3×C88D4φ: C2×D4/C23C2 ⊆ Aut C1296C12.464(C2xD4)192,898
C12.465(C2×D4) = C3×C87D4φ: C2×D4/C23C2 ⊆ Aut C1296C12.465(C2xD4)192,899
C12.466(C2×D4) = C3×C8.18D4φ: C2×D4/C23C2 ⊆ Aut C1296C12.466(C2xD4)192,900
C12.467(C2×D4) = C3×C8⋊D4φ: C2×D4/C23C2 ⊆ Aut C1296C12.467(C2xD4)192,901
C12.468(C2×D4) = C3×C82D4φ: C2×D4/C23C2 ⊆ Aut C1296C12.468(C2xD4)192,902
C12.469(C2×D4) = C3×C8.D4φ: C2×D4/C23C2 ⊆ Aut C1296C12.469(C2xD4)192,903
C12.470(C2×D4) = C6×C22⋊Q8φ: C2×D4/C23C2 ⊆ Aut C1296C12.470(C2xD4)192,1412
C12.471(C2×D4) = C3×C22.19C24φ: C2×D4/C23C2 ⊆ Aut C1248C12.471(C2xD4)192,1414
C12.472(C2×D4) = C3×C22.31C24φ: C2×D4/C23C2 ⊆ Aut C1296C12.472(C2xD4)192,1426
C12.473(C2×D4) = C3×D8⋊C22φ: C2×D4/C23C2 ⊆ Aut C12484C12.473(C2xD4)192,1464
C12.474(C2×D4) = C6×C22⋊C8central extension (φ=1)96C12.474(C2xD4)192,839
C12.475(C2×D4) = C3×C24.4C4central extension (φ=1)48C12.475(C2xD4)192,840
C12.476(C2×D4) = C3×(C22×C8)⋊C2central extension (φ=1)96C12.476(C2xD4)192,841
C12.477(C2×D4) = C6×C4≀C2central extension (φ=1)48C12.477(C2xD4)192,853
C12.478(C2×D4) = C3×C42⋊C22central extension (φ=1)484C12.478(C2xD4)192,854
C12.479(C2×D4) = C6×C4⋊C8central extension (φ=1)192C12.479(C2xD4)192,855
C12.480(C2×D4) = C3×C4⋊M4(2)central extension (φ=1)96C12.480(C2xD4)192,856
C12.481(C2×D4) = C3×C42.6C22central extension (φ=1)96C12.481(C2xD4)192,857
C12.482(C2×D4) = C6×C8.C4central extension (φ=1)96C12.482(C2xD4)192,862
C12.483(C2×D4) = C3×M4(2).C4central extension (φ=1)484C12.483(C2xD4)192,863
C12.484(C2×D4) = D4×C24central extension (φ=1)96C12.484(C2xD4)192,867
C12.485(C2×D4) = C3×C89D4central extension (φ=1)96C12.485(C2xD4)192,868
C12.486(C2×D4) = C3×C86D4central extension (φ=1)96C12.486(C2xD4)192,869
C12.487(C2×D4) = C3×C8○D8central extension (φ=1)482C12.487(C2xD4)192,876
C12.488(C2×D4) = C3×C8.26D4central extension (φ=1)484C12.488(C2xD4)192,877

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