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Extensions 1→N→G→Q→1 with N=C23 and Q=C4○D4

Direct product G=N×Q with N=C23 and Q=C4○D4
dρLabelID
C23×C4○D464C2^3xC4oD4128,2322

Semidirect products G=N:Q with N=C23 and Q=C4○D4
extensionφ:Q→Aut NdρLabelID
C23⋊1(C4○D4) = C23.288C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3:1(C4oD4)128,1120
C23⋊2(C4○D4) = C24.244C23φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3:2(C4oD4)128,1139
C23⋊3(C4○D4) = C22.48C25φ: C4○D4/C4 → C22 ⊆ Aut C2332C2^3:3(C4oD4)128,2191
C23⋊4(C4○D4) = C22.94C25φ: C4○D4/C4 → C22 ⊆ Aut C2332C2^3:4(C4oD4)128,2237
C23⋊5(C4○D4) = C23.304C24φ: C4○D4/C22 → C22 ⊆ Aut C2332C2^3:5(C4oD4)128,1136
C23⋊6(C4○D4) = C22.79C25φ: C4○D4/C22 → C22 ⊆ Aut C2316C2^3:6(C4oD4)128,2222
C23⋊7(C4○D4) = C2×C22.19C24φ: C4○D4/C2×C4 → C2 ⊆ Aut C2332C2^3:7(C4oD4)128,2167
C23⋊8(C4○D4) = C2×D4⋊5D4φ: C4○D4/D4 → C2 ⊆ Aut C2332C2^3:8(C4oD4)128,2195
C23⋊9(C4○D4) = C2×Q8⋊5D4φ: C4○D4/Q8 → C2 ⊆ Aut C2364C2^3:9(C4oD4)128,2197

Non-split extensions G=N.Q with N=C23 and Q=C4○D4
extensionφ:Q→Aut NdρLabelID
C23.1(C4○D4) = C8.16C42φ: C4○D4/C4 → C22 ⊆ Aut C23324C2^3.1(C4oD4)128,479
C23.2(C4○D4) = C4×C23⋊C4φ: C4○D4/C4 → C22 ⊆ Aut C2332C2^3.2(C4oD4)128,486
C23.3(C4○D4) = C24.167C23φ: C4○D4/C4 → C22 ⊆ Aut C2332C2^3.3(C4oD4)128,531
C23.4(C4○D4) = C8○D4⋊C4φ: C4○D4/C4 → C22 ⊆ Aut C23324C2^3.4(C4oD4)128,546
C23.5(C4○D4) = C8.(C4⋊C4)φ: C4○D4/C4 → C22 ⊆ Aut C23324C2^3.5(C4oD4)128,565
C23.6(C4○D4) = C24.22D4φ: C4○D4/C4 → C22 ⊆ Aut C2332C2^3.6(C4oD4)128,599
C23.7(C4○D4) = M4(2).44D4φ: C4○D4/C4 → C22 ⊆ Aut C23324C2^3.7(C4oD4)128,613
C23.8(C4○D4) = C24.175C23φ: C4○D4/C4 → C22 ⊆ Aut C2332C2^3.8(C4oD4)128,696
C23.9(C4○D4) = C24.176C23φ: C4○D4/C4 → C22 ⊆ Aut C2332C2^3.9(C4oD4)128,728
C23.10(C4○D4) = (C2×C8).2D4φ: C4○D4/C4 → C22 ⊆ Aut C23324C2^3.10(C4oD4)128,749
C23.11(C4○D4) = C24.33D4φ: C4○D4/C4 → C22 ⊆ Aut C2332C2^3.11(C4oD4)128,776
C23.12(C4○D4) = C24.182C23φ: C4○D4/C4 → C22 ⊆ Aut C2332C2^3.12(C4oD4)128,794
C23.13(C4○D4) = C42.9D4φ: C4○D4/C4 → C22 ⊆ Aut C23324C2^3.13(C4oD4)128,812
C23.14(C4○D4) = C42.10D4φ: C4○D4/C4 → C22 ⊆ Aut C23324C2^3.14(C4oD4)128,830
C23.15(C4○D4) = C42⋊15D4φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.15(C4oD4)128,1124
C23.16(C4○D4) = C23.295C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.16(C4oD4)128,1127
C23.17(C4○D4) = C42⋊16D4φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.17(C4oD4)128,1129
C23.18(C4○D4) = C42.163D4φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.18(C4oD4)128,1130
C23.19(C4○D4) = C23.301C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.19(C4oD4)128,1133
C23.20(C4○D4) = C24.249C23φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.20(C4oD4)128,1146
C23.21(C4○D4) = C23.315C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.21(C4oD4)128,1147
C23.22(C4○D4) = C24.254C23φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.22(C4oD4)128,1152
C23.23(C4○D4) = C23.321C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.23(C4oD4)128,1153
C23.24(C4○D4) = C24.259C23φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.24(C4oD4)128,1158
C23.25(C4○D4) = C23.327C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.25(C4oD4)128,1159
C23.26(C4○D4) = C24.276C23φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.26(C4oD4)128,1187
C23.27(C4○D4) = C23.356C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.27(C4oD4)128,1188
C23.28(C4○D4) = C24.278C23φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.28(C4oD4)128,1189
C23.29(C4○D4) = C23.359C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.29(C4oD4)128,1191
C23.30(C4○D4) = C23.360C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.30(C4oD4)128,1192
C23.31(C4○D4) = C24.282C23φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.31(C4oD4)128,1193
C23.32(C4○D4) = C24.283C23φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.32(C4oD4)128,1195
C23.33(C4○D4) = C23.364C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.33(C4oD4)128,1196
C23.34(C4○D4) = C24.286C23φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.34(C4oD4)128,1198
C23.35(C4○D4) = C23.367C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.35(C4oD4)128,1199
C23.36(C4○D4) = C23.368C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.36(C4oD4)128,1200
C23.37(C4○D4) = C24.293C23φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.37(C4oD4)128,1208
C23.38(C4○D4) = C23.377C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.38(C4oD4)128,1209
C23.39(C4○D4) = C23.385C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.39(C4oD4)128,1217
C23.40(C4○D4) = C24.301C23φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.40(C4oD4)128,1221
C23.41(C4○D4) = C23.390C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.41(C4oD4)128,1222
C23.42(C4○D4) = C24.304C23φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.42(C4oD4)128,1226
C23.43(C4○D4) = C23.395C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.43(C4oD4)128,1227
C23.44(C4○D4) = C23.417C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.44(C4oD4)128,1249
C23.45(C4○D4) = C23.418C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.45(C4oD4)128,1250
C23.46(C4○D4) = C24.313C23φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.46(C4oD4)128,1255
C23.47(C4○D4) = C23.430C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.47(C4oD4)128,1262
C23.48(C4○D4) = C23.431C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.48(C4oD4)128,1263
C23.49(C4○D4) = C42⋊17D4φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.49(C4oD4)128,1267
C23.50(C4○D4) = C42.165D4φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.50(C4oD4)128,1268
C23.51(C4○D4) = C42⋊19D4φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.51(C4oD4)128,1272
C23.52(C4○D4) = C24.331C23φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.52(C4oD4)128,1291
C23.53(C4○D4) = C24.332C23φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.53(C4oD4)128,1292
C23.54(C4○D4) = C42.172D4φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.54(C4oD4)128,1294
C23.55(C4○D4) = C24.340C23φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.55(C4oD4)128,1308
C23.56(C4○D4) = C24.341C23φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.56(C4oD4)128,1309
C23.57(C4○D4) = C23.478C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.57(C4oD4)128,1310
C23.58(C4○D4) = C24.347C23φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.58(C4oD4)128,1327
C23.59(C4○D4) = C24.348C23φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.59(C4oD4)128,1329
C23.60(C4○D4) = C42⋊22D4φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.60(C4oD4)128,1330
C23.61(C4○D4) = C23.500C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.61(C4oD4)128,1332
C23.62(C4○D4) = C23.502C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.62(C4oD4)128,1334
C23.63(C4○D4) = C42⋊24D4φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.63(C4oD4)128,1335
C23.64(C4○D4) = C23.530C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.64(C4oD4)128,1362
C23.65(C4○D4) = C42⋊29D4φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.65(C4oD4)128,1363
C23.66(C4○D4) = C42.190D4φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.66(C4oD4)128,1365
C23.67(C4○D4) = C23.535C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.67(C4oD4)128,1367
C23.68(C4○D4) = C42⋊30D4φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.68(C4oD4)128,1368
C23.69(C4○D4) = C24.374C23φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.69(C4oD4)128,1370
C23.70(C4○D4) = C23.548C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.70(C4oD4)128,1380
C23.71(C4○D4) = C24.375C23φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.71(C4oD4)128,1381
C23.72(C4○D4) = C24.376C23φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.72(C4oD4)128,1384
C23.73(C4○D4) = C23.553C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.73(C4oD4)128,1385
C23.74(C4○D4) = C23.576C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.74(C4oD4)128,1408
C23.75(C4○D4) = C23.581C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.75(C4oD4)128,1413
C23.76(C4○D4) = C24.395C23φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.76(C4oD4)128,1420
C23.77(C4○D4) = C23.590C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.77(C4oD4)128,1422
C23.78(C4○D4) = C23.591C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.78(C4oD4)128,1423
C23.79(C4○D4) = C23.602C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.79(C4oD4)128,1434
C23.80(C4○D4) = C23.603C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.80(C4oD4)128,1435
C23.81(C4○D4) = C23.608C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.81(C4oD4)128,1440
C23.82(C4○D4) = C23.611C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.82(C4oD4)128,1443
C23.83(C4○D4) = C24.413C23φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.83(C4oD4)128,1446
C23.84(C4○D4) = C24.418C23φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.84(C4oD4)128,1455
C23.85(C4○D4) = C24.420C23φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.85(C4oD4)128,1460
C23.86(C4○D4) = C23.630C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.86(C4oD4)128,1462
C23.87(C4○D4) = C23.641C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.87(C4oD4)128,1473
C23.88(C4○D4) = C24.432C23φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.88(C4oD4)128,1478
C23.89(C4○D4) = C23.647C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.89(C4oD4)128,1479
C23.90(C4○D4) = C23.649C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.90(C4oD4)128,1481
C23.91(C4○D4) = C24.435C23φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.91(C4oD4)128,1482
C23.92(C4○D4) = C24.437C23φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.92(C4oD4)128,1485
C23.93(C4○D4) = C23.656C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.93(C4oD4)128,1488
C23.94(C4○D4) = C24.438C23φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.94(C4oD4)128,1489
C23.95(C4○D4) = C24.445C23φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.95(C4oD4)128,1502
C23.96(C4○D4) = C23.678C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.96(C4oD4)128,1510
C23.97(C4○D4) = C23.679C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.97(C4oD4)128,1511
C23.98(C4○D4) = C23.681C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.98(C4oD4)128,1513
C23.99(C4○D4) = C23.682C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.99(C4oD4)128,1514
C23.100(C4○D4) = C23.686C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.100(C4oD4)128,1518
C23.101(C4○D4) = C23.687C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.101(C4oD4)128,1519
C23.102(C4○D4) = C23.696C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.102(C4oD4)128,1528
C23.103(C4○D4) = C23.697C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.103(C4oD4)128,1529
C23.104(C4○D4) = C23.724C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.104(C4oD4)128,1556
C23.105(C4○D4) = C23.725C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.105(C4oD4)128,1557
C23.106(C4○D4) = C23.726C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.106(C4oD4)128,1558
C23.107(C4○D4) = C23.727C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.107(C4oD4)128,1559
C23.108(C4○D4) = C23.734C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.108(C4oD4)128,1566
C23.109(C4○D4) = C23.735C24φ: C4○D4/C4 → C22 ⊆ Aut C2364C2^3.109(C4oD4)128,1567
C23.110(C4○D4) = C42.283C23φ: C4○D4/C4 → C22 ⊆ Aut C23324C2^3.110(C4oD4)128,1687
C23.111(C4○D4) = M4(2)○D8φ: C4○D4/C4 → C22 ⊆ Aut C23324C2^3.111(C4oD4)128,1689
C23.112(C4○D4) = M4(2).10C23φ: C4○D4/C4 → C22 ⊆ Aut C23324C2^3.112(C4oD4)128,1799
C23.113(C4○D4) = C24.68D4φ: C4○D4/C22 → C22 ⊆ Aut C2316C2^3.113(C4oD4)128,551
C23.114(C4○D4) = C24.169C23φ: C4○D4/C22 → C22 ⊆ Aut C2332C2^3.114(C4oD4)128,552
C23.115(C4○D4) = C24.C23φ: C4○D4/C22 → C22 ⊆ Aut C23168+C2^3.115(C4oD4)128,560
C23.116(C4○D4) = C8⋊C4⋊17C4φ: C4○D4/C22 → C22 ⊆ Aut C23164C2^3.116(C4oD4)128,573
C23.117(C4○D4) = M4(2).41D4φ: C4○D4/C22 → C22 ⊆ Aut C23164C2^3.117(C4oD4)128,593
C23.118(C4○D4) = C25.C22φ: C4○D4/C22 → C22 ⊆ Aut C2316C2^3.118(C4oD4)128,621
C23.119(C4○D4) = C24.26D4φ: C4○D4/C22 → C22 ⊆ Aut C2332C2^3.119(C4oD4)128,622
C23.120(C4○D4) = C24.78D4φ: C4○D4/C22 → C22 ⊆ Aut C2316C2^3.120(C4oD4)128,630
C23.121(C4○D4) = C24.174C23φ: C4○D4/C22 → C22 ⊆ Aut C2332C2^3.121(C4oD4)128,631
C23.122(C4○D4) = M4(2).46D4φ: C4○D4/C22 → C22 ⊆ Aut C23328-C2^3.122(C4oD4)128,634
C23.123(C4○D4) = M4(2).47D4φ: C4○D4/C22 → C22 ⊆ Aut C23168+C2^3.123(C4oD4)128,635
C23.124(C4○D4) = C24.28D4φ: C4○D4/C22 → C22 ⊆ Aut C23168+C2^3.124(C4oD4)128,645
C23.125(C4○D4) = C42.427D4φ: C4○D4/C22 → C22 ⊆ Aut C23164C2^3.125(C4oD4)128,664
C23.126(C4○D4) = C24⋊D4φ: C4○D4/C22 → C22 ⊆ Aut C2316C2^3.126(C4oD4)128,753
C23.127(C4○D4) = C24.31D4φ: C4○D4/C22 → C22 ⊆ Aut C2332C2^3.127(C4oD4)128,754
C23.128(C4○D4) = C24⋊2Q8φ: C4○D4/C22 → C22 ⊆ Aut C2316C2^3.128(C4oD4)128,761
C23.129(C4○D4) = C24.180C23φ: C4○D4/C22 → C22 ⊆ Aut C2332C2^3.129(C4oD4)128,762
C23.130(C4○D4) = C24⋊Q8φ: C4○D4/C22 → C22 ⊆ Aut C23168+C2^3.130(C4oD4)128,764
C23.131(C4○D4) = M4(2).8D4φ: C4○D4/C22 → C22 ⊆ Aut C23168+C2^3.131(C4oD4)128,780
C23.132(C4○D4) = M4(2).9D4φ: C4○D4/C22 → C22 ⊆ Aut C23328-C2^3.132(C4oD4)128,781
C23.133(C4○D4) = C42.131D4φ: C4○D4/C22 → C22 ⊆ Aut C23164C2^3.133(C4oD4)128,782
C23.134(C4○D4) = (C2×C8).D4φ: C4○D4/C22 → C22 ⊆ Aut C23168+C2^3.134(C4oD4)128,813
C23.135(C4○D4) = (C2×C8).6D4φ: C4○D4/C22 → C22 ⊆ Aut C23328-C2^3.135(C4oD4)128,814
C23.136(C4○D4) = C42.32Q8φ: C4○D4/C22 → C22 ⊆ Aut C23164C2^3.136(C4oD4)128,834
C23.137(C4○D4) = C24.4C23φ: C4○D4/C22 → C22 ⊆ Aut C23168+C2^3.137(C4oD4)128,836
C23.138(C4○D4) = C23.311C24φ: C4○D4/C22 → C22 ⊆ Aut C2332C2^3.138(C4oD4)128,1143
C23.139(C4○D4) = C24.279C23φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.139(C4oD4)128,1190
C23.140(C4○D4) = C24.289C23φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.140(C4oD4)128,1202
C23.141(C4○D4) = C24.290C23φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.141(C4oD4)128,1203
C23.142(C4○D4) = C23.375C24φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.142(C4oD4)128,1207
C23.143(C4○D4) = C23.379C24φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.143(C4oD4)128,1211
C23.144(C4○D4) = C23.380C24φ: C4○D4/C22 → C22 ⊆ Aut C2332C2^3.144(C4oD4)128,1212
C23.145(C4○D4) = C23.382C24φ: C4○D4/C22 → C22 ⊆ Aut C2332C2^3.145(C4oD4)128,1214
C23.146(C4○D4) = C24.309C23φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.146(C4oD4)128,1247
C23.147(C4○D4) = C23.416C24φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.147(C4oD4)128,1248
C23.148(C4○D4) = C23.426C24φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.148(C4oD4)128,1258
C23.149(C4○D4) = C24.315C23φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.149(C4oD4)128,1259
C23.150(C4○D4) = C23.434C24φ: C4○D4/C22 → C22 ⊆ Aut C2332C2^3.150(C4oD4)128,1266
C23.151(C4○D4) = C23.439C24φ: C4○D4/C22 → C22 ⊆ Aut C2332C2^3.151(C4oD4)128,1271
C23.152(C4○D4) = C24.326C23φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.152(C4oD4)128,1285
C23.153(C4○D4) = C24.327C23φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.153(C4oD4)128,1286
C23.154(C4○D4) = C23.457C24φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.154(C4oD4)128,1289
C23.155(C4○D4) = C23.458C24φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.155(C4oD4)128,1290
C23.156(C4○D4) = C23.461C24φ: C4○D4/C22 → C22 ⊆ Aut C2332C2^3.156(C4oD4)128,1293
C23.157(C4○D4) = C23.472C24φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.157(C4oD4)128,1304
C23.158(C4○D4) = C23.473C24φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.158(C4oD4)128,1305
C23.159(C4○D4) = C24.339C23φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.159(C4oD4)128,1307
C23.160(C4○D4) = C42.183D4φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.160(C4oD4)128,1331
C23.161(C4○D4) = C42⋊23D4φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.161(C4oD4)128,1333
C23.162(C4○D4) = C42⋊25D4φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.162(C4oD4)128,1341
C23.163(C4○D4) = C42⋊26D4φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.163(C4oD4)128,1342
C23.164(C4○D4) = C42.185D4φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.164(C4oD4)128,1343
C23.165(C4○D4) = C23.568C24φ: C4○D4/C22 → C22 ⊆ Aut C2332C2^3.165(C4oD4)128,1400
C23.166(C4○D4) = C23.570C24φ: C4○D4/C22 → C22 ⊆ Aut C2332C2^3.166(C4oD4)128,1402
C23.167(C4○D4) = C23.578C24φ: C4○D4/C22 → C22 ⊆ Aut C2332C2^3.167(C4oD4)128,1410
C23.168(C4○D4) = C23.584C24φ: C4○D4/C22 → C22 ⊆ Aut C2332C2^3.168(C4oD4)128,1416
C23.169(C4○D4) = C23.585C24φ: C4○D4/C22 → C22 ⊆ Aut C2332C2^3.169(C4oD4)128,1417
C23.170(C4○D4) = C24.394C23φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.170(C4oD4)128,1419
C23.171(C4○D4) = C23.593C24φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.171(C4oD4)128,1425
C23.172(C4○D4) = C24.401C23φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.172(C4oD4)128,1426
C23.173(C4○D4) = C23.595C24φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.173(C4oD4)128,1427
C23.174(C4○D4) = C24.403C23φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.174(C4oD4)128,1428
C23.175(C4○D4) = C23.597C24φ: C4○D4/C22 → C22 ⊆ Aut C2332C2^3.175(C4oD4)128,1429
C23.176(C4○D4) = C23.605C24φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.176(C4oD4)128,1437
C23.177(C4○D4) = C23.606C24φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.177(C4oD4)128,1438
C23.178(C4○D4) = C23.607C24φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.178(C4oD4)128,1439
C23.179(C4○D4) = C23.635C24φ: C4○D4/C22 → C22 ⊆ Aut C2332C2^3.179(C4oD4)128,1467
C23.180(C4○D4) = C23.636C24φ: C4○D4/C22 → C22 ⊆ Aut C2332C2^3.180(C4oD4)128,1468
C23.181(C4○D4) = C23.637C24φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.181(C4oD4)128,1469
C23.182(C4○D4) = C24.426C23φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.182(C4oD4)128,1470
C23.183(C4○D4) = C24.427C23φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.183(C4oD4)128,1471
C23.184(C4○D4) = C23.640C24φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.184(C4oD4)128,1472
C23.185(C4○D4) = C23.643C24φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.185(C4oD4)128,1475
C23.186(C4○D4) = C24.430C23φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.186(C4oD4)128,1476
C23.187(C4○D4) = C23.645C24φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.187(C4oD4)128,1477
C23.188(C4○D4) = C23.651C24φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.188(C4oD4)128,1483
C23.189(C4○D4) = C23.652C24φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.189(C4oD4)128,1484
C23.190(C4○D4) = C23.660C24φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.190(C4oD4)128,1492
C23.191(C4○D4) = C24.440C23φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.191(C4oD4)128,1493
C23.192(C4○D4) = C23.664C24φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.192(C4oD4)128,1496
C23.193(C4○D4) = C24.443C23φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.193(C4oD4)128,1497
C23.194(C4○D4) = C23.671C24φ: C4○D4/C22 → C22 ⊆ Aut C2364C2^3.194(C4oD4)128,1503
C23.195(C4○D4) = M4(2).51D4φ: C4○D4/C22 → C22 ⊆ Aut C23164C2^3.195(C4oD4)128,1688
C23.196(C4○D4) = M4(2).37D4φ: C4○D4/C22 → C22 ⊆ Aut C23168+C2^3.196(C4oD4)128,1800
C23.197(C4○D4) = M4(2).38D4φ: C4○D4/C22 → C22 ⊆ Aut C23328-C2^3.197(C4oD4)128,1801
C23.198(C4○D4) = C22.80C25φ: C4○D4/C22 → C22 ⊆ Aut C2332C2^3.198(C4oD4)128,2223
C23.199(C4○D4) = Q8.C42φ: C4○D4/C2×C4 → C2 ⊆ Aut C2332C2^3.199(C4oD4)128,496
C23.200(C4○D4) = D4.3C42φ: C4○D4/C2×C4 → C2 ⊆ Aut C2332C2^3.200(C4oD4)128,497
C23.201(C4○D4) = C8.14C42φ: C4○D4/C2×C4 → C2 ⊆ Aut C2332C2^3.201(C4oD4)128,504
C23.202(C4○D4) = C8.5C42φ: C4○D4/C2×C4 → C2 ⊆ Aut C2332C2^3.202(C4oD4)128,505
C23.203(C4○D4) = M4(2).42D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2332C2^3.203(C4oD4)128,598
C23.204(C4○D4) = M4(2).43D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2332C2^3.204(C4oD4)128,608
C23.205(C4○D4) = M4(2).3Q8φ: C4○D4/C2×C4 → C2 ⊆ Aut C2332C2^3.205(C4oD4)128,654
C23.206(C4○D4) = M4(2).24D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2332C2^3.206(C4oD4)128,661
C23.207(C4○D4) = C42.428D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2332C2^3.207(C4oD4)128,669
C23.208(C4○D4) = C42.107D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2332C2^3.208(C4oD4)128,670
C23.209(C4○D4) = C42.62Q8φ: C4○D4/C2×C4 → C2 ⊆ Aut C2332C2^3.209(C4oD4)128,677
C23.210(C4○D4) = C42.28Q8φ: C4○D4/C2×C4 → C2 ⊆ Aut C2332C2^3.210(C4oD4)128,678
C23.211(C4○D4) = C42.326D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2332C2^3.211(C4oD4)128,706
C23.212(C4○D4) = C42.116D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2332C2^3.212(C4oD4)128,707
C23.213(C4○D4) = C25.85C22φ: C4○D4/C2×C4 → C2 ⊆ Aut C2332C2^3.213(C4oD4)128,1012
C23.214(C4○D4) = C23.165C24φ: C4○D4/C2×C4 → C2 ⊆ Aut C2364C2^3.214(C4oD4)128,1015
C23.215(C4○D4) = C42⋊42D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2364C2^3.215(C4oD4)128,1022
C23.216(C4○D4) = C4×C22≀C2φ: C4○D4/C2×C4 → C2 ⊆ Aut C2332C2^3.216(C4oD4)128,1031
C23.217(C4○D4) = C4×C4⋊D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2364C2^3.217(C4oD4)128,1032
C23.218(C4○D4) = C4×C22.D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2364C2^3.218(C4oD4)128,1033
C23.219(C4○D4) = C4×C22⋊Q8φ: C4○D4/C2×C4 → C2 ⊆ Aut C2364C2^3.219(C4oD4)128,1034
C23.220(C4○D4) = C23.194C24φ: C4○D4/C2×C4 → C2 ⊆ Aut C2332C2^3.220(C4oD4)128,1044
C23.221(C4○D4) = C23.195C24φ: C4○D4/C2×C4 → C2 ⊆ Aut C2364C2^3.221(C4oD4)128,1045
C23.222(C4○D4) = C24.547C23φ: C4○D4/C2×C4 → C2 ⊆ Aut C2364C2^3.222(C4oD4)128,1050
C23.223(C4○D4) = C23.203C24φ: C4○D4/C2×C4 → C2 ⊆ Aut C2332C2^3.223(C4oD4)128,1053
C23.224(C4○D4) = C24.195C23φ: C4○D4/C2×C4 → C2 ⊆ Aut C2364C2^3.224(C4oD4)128,1054
C23.225(C4○D4) = C24.198C23φ: C4○D4/C2×C4 → C2 ⊆ Aut C2364C2^3.225(C4oD4)128,1057
C23.226(C4○D4) = C23.211C24φ: C4○D4/C2×C4 → C2 ⊆ Aut C2364C2^3.226(C4oD4)128,1061
C23.227(C4○D4) = C23.318C24φ: C4○D4/C2×C4 → C2 ⊆ Aut C2332C2^3.227(C4oD4)128,1150
C23.228(C4○D4) = C24.563C23φ: C4○D4/C2×C4 → C2 ⊆ Aut C2364C2^3.228(C4oD4)128,1151
C23.229(C4○D4) = C23.324C24φ: C4○D4/C2×C4 → C2 ⊆ Aut C2332C2^3.229(C4oD4)128,1156
C23.230(C4○D4) = C24.258C23φ: C4○D4/C2×C4 → C2 ⊆ Aut C2364C2^3.230(C4oD4)128,1157
C23.231(C4○D4) = C24.269C23φ: C4○D4/C2×C4 → C2 ⊆ Aut C2364C2^3.231(C4oD4)128,1175
C23.232(C4○D4) = C23.344C24φ: C4○D4/C2×C4 → C2 ⊆ Aut C2364C2^3.232(C4oD4)128,1176
C23.233(C4○D4) = C23.349C24φ: C4○D4/C2×C4 → C2 ⊆ Aut C2364C2^3.233(C4oD4)128,1181
C23.234(C4○D4) = C23.350C24φ: C4○D4/C2×C4 → C2 ⊆ Aut C2364C2^3.234(C4oD4)128,1182
C23.235(C4○D4) = C23.372C24φ: C4○D4/C2×C4 → C2 ⊆ Aut C2332C2^3.235(C4oD4)128,1204
C23.236(C4○D4) = C24.572C23φ: C4○D4/C2×C4 → C2 ⊆ Aut C2364C2^3.236(C4oD4)128,1205
C23.237(C4○D4) = C24.573C23φ: C4○D4/C2×C4 → C2 ⊆ Aut C2364C2^3.237(C4oD4)128,1213
C23.238(C4○D4) = C24⋊10D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2332C2^3.238(C4oD4)128,1349
C23.239(C4○D4) = C24.587C23φ: C4○D4/C2×C4 → C2 ⊆ Aut C2364C2^3.239(C4oD4)128,1350
C23.240(C4○D4) = C24.97D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2332C2^3.240(C4oD4)128,1354
C23.241(C4○D4) = C24.589C23φ: C4○D4/C2×C4 → C2 ⊆ Aut C2364C2^3.241(C4oD4)128,1355
C23.242(C4○D4) = C24⋊5Q8φ: C4○D4/C2×C4 → C2 ⊆ Aut C2332C2^3.242(C4oD4)128,1358
C23.243(C4○D4) = C23.527C24φ: C4○D4/C2×C4 → C2 ⊆ Aut C2364C2^3.243(C4oD4)128,1359
C23.244(C4○D4) = C24.592C23φ: C4○D4/C2×C4 → C2 ⊆ Aut C2364C2^3.244(C4oD4)128,1371
C23.245(C4○D4) = C23.543C24φ: C4○D4/C2×C4 → C2 ⊆ Aut C2364C2^3.245(C4oD4)128,1375
C23.246(C4○D4) = C23.546C24φ: C4○D4/C2×C4 → C2 ⊆ Aut C2364C2^3.246(C4oD4)128,1378
C23.247(C4○D4) = C24⋊13D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2332C2^3.247(C4oD4)128,1579
C23.248(C4○D4) = C24⋊8Q8φ: C4○D4/C2×C4 → C2 ⊆ Aut C2332C2^3.248(C4oD4)128,1580
C23.249(C4○D4) = C24.166D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2332C2^3.249(C4oD4)128,1581
C23.250(C4○D4) = C42⋊46D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2364C2^3.250(C4oD4)128,1582
C23.251(C4○D4) = C42.439D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2364C2^3.251(C4oD4)128,1583
C23.252(C4○D4) = C42⋊43D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2364C2^3.252(C4oD4)128,1584
C23.253(C4○D4) = C23.753C24φ: C4○D4/C2×C4 → C2 ⊆ Aut C2364C2^3.253(C4oD4)128,1585
C23.254(C4○D4) = C24.598C23φ: C4○D4/C2×C4 → C2 ⊆ Aut C2364C2^3.254(C4oD4)128,1586
C23.255(C4○D4) = C24.599C23φ: C4○D4/C2×C4 → C2 ⊆ Aut C2364C2^3.255(C4oD4)128,1587
C23.256(C4○D4) = C2×C8○D8φ: C4○D4/C2×C4 → C2 ⊆ Aut C2332C2^3.256(C4oD4)128,1685
C23.257(C4○D4) = C2×C8.26D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2332C2^3.257(C4oD4)128,1686
C23.258(C4○D4) = C2×C23.36C23φ: C4○D4/C2×C4 → C2 ⊆ Aut C2364C2^3.258(C4oD4)128,2171
C23.259(C4○D4) = C2×C22.32C24φ: C4○D4/C2×C4 → C2 ⊆ Aut C2332C2^3.259(C4oD4)128,2182
C23.260(C4○D4) = C2×C22.33C24φ: C4○D4/C2×C4 → C2 ⊆ Aut C2364C2^3.260(C4oD4)128,2183
C23.261(C4○D4) = C4○D4.4Q8φ: C4○D4/D4 → C2 ⊆ Aut C2364C2^3.261(C4oD4)128,547
C23.262(C4○D4) = C4○D4.5Q8φ: C4○D4/D4 → C2 ⊆ Aut C2364C2^3.262(C4oD4)128,548
C23.263(C4○D4) = M4(2).48D4φ: C4○D4/D4 → C2 ⊆ Aut C2332C2^3.263(C4oD4)128,639
C23.264(C4○D4) = M4(2).49D4φ: C4○D4/D4 → C2 ⊆ Aut C2364C2^3.264(C4oD4)128,640
C23.265(C4○D4) = C4.10D4⋊3C4φ: C4○D4/D4 → C2 ⊆ Aut C2364C2^3.265(C4oD4)128,662
C23.266(C4○D4) = C4.D4⋊3C4φ: C4○D4/D4 → C2 ⊆ Aut C2332C2^3.266(C4oD4)128,663
C23.267(C4○D4) = M4(2).5Q8φ: C4○D4/D4 → C2 ⊆ Aut C2364C2^3.267(C4oD4)128,683
C23.268(C4○D4) = M4(2).6Q8φ: C4○D4/D4 → C2 ⊆ Aut C2364C2^3.268(C4oD4)128,684
C23.269(C4○D4) = M4(2).31D4φ: C4○D4/D4 → C2 ⊆ Aut C2332C2^3.269(C4oD4)128,709
C23.270(C4○D4) = M4(2).32D4φ: C4○D4/D4 → C2 ⊆ Aut C2332C2^3.270(C4oD4)128,710
C23.271(C4○D4) = M4(2).33D4φ: C4○D4/D4 → C2 ⊆ Aut C2364C2^3.271(C4oD4)128,711
C23.272(C4○D4) = M4(2).4D4φ: C4○D4/D4 → C2 ⊆ Aut C2332C2^3.272(C4oD4)128,750
C23.273(C4○D4) = M4(2).5D4φ: C4○D4/D4 → C2 ⊆ Aut C2332C2^3.273(C4oD4)128,751
C23.274(C4○D4) = M4(2).6D4φ: C4○D4/D4 → C2 ⊆ Aut C2364C2^3.274(C4oD4)128,752
C23.275(C4○D4) = C4⋊C4.96D4φ: C4○D4/D4 → C2 ⊆ Aut C2332C2^3.275(C4oD4)128,777
C23.276(C4○D4) = C4⋊C4.97D4φ: C4○D4/D4 → C2 ⊆ Aut C2332C2^3.276(C4oD4)128,778
C23.277(C4○D4) = C4⋊C4.98D4φ: C4○D4/D4 → C2 ⊆ Aut C2364C2^3.277(C4oD4)128,779
C23.278(C4○D4) = M4(2).10D4φ: C4○D4/D4 → C2 ⊆ Aut C2332C2^3.278(C4oD4)128,783
C23.279(C4○D4) = M4(2).11D4φ: C4○D4/D4 → C2 ⊆ Aut C2364C2^3.279(C4oD4)128,784
C23.280(C4○D4) = M4(2).12D4φ: C4○D4/D4 → C2 ⊆ Aut C2332C2^3.280(C4oD4)128,795
C23.281(C4○D4) = M4(2).13D4φ: C4○D4/D4 → C2 ⊆ Aut C2364C2^3.281(C4oD4)128,796
C23.282(C4○D4) = (C2×C8).55D4φ: C4○D4/D4 → C2 ⊆ Aut C2364C2^3.282(C4oD4)128,810
C23.283(C4○D4) = (C2×C8).165D4φ: C4○D4/D4 → C2 ⊆ Aut C2364C2^3.283(C4oD4)128,811
C23.284(C4○D4) = M4(2).Q8φ: C4○D4/D4 → C2 ⊆ Aut C2364C2^3.284(C4oD4)128,821
C23.285(C4○D4) = M4(2).2Q8φ: C4○D4/D4 → C2 ⊆ Aut C2364C2^3.285(C4oD4)128,822
C23.286(C4○D4) = D4×C22⋊C4φ: C4○D4/D4 → C2 ⊆ Aut C2332C2^3.286(C4oD4)128,1070
C23.287(C4○D4) = C23.224C24φ: C4○D4/D4 → C2 ⊆ Aut C2332C2^3.287(C4oD4)128,1074
C23.288(C4○D4) = C23.225C24φ: C4○D4/D4 → C2 ⊆ Aut C2364C2^3.288(C4oD4)128,1075
C23.289(C4○D4) = C23.226C24φ: C4○D4/D4 → C2 ⊆ Aut C2364C2^3.289(C4oD4)128,1076
C23.290(C4○D4) = C23.234C24φ: C4○D4/D4 → C2 ⊆ Aut C2364C2^3.290(C4oD4)128,1084
C23.291(C4○D4) = C23.235C24φ: C4○D4/D4 → C2 ⊆ Aut C2364C2^3.291(C4oD4)128,1085
C23.292(C4○D4) = C23.240C24φ: C4○D4/D4 → C2 ⊆ Aut C2332C2^3.292(C4oD4)128,1090
C23.293(C4○D4) = C23.241C24φ: C4○D4/D4 → C2 ⊆ Aut C2364C2^3.293(C4oD4)128,1091
C23.294(C4○D4) = C24.558C23φ: C4○D4/D4 → C2 ⊆ Aut C2364C2^3.294(C4oD4)128,1092
C23.295(C4○D4) = C23.250C24φ: C4○D4/D4 → C2 ⊆ Aut C2364C2^3.295(C4oD4)128,1100
C23.296(C4○D4) = C24.94D4φ: C4○D4/D4 → C2 ⊆ Aut C2332C2^3.296(C4oD4)128,1137
C23.297(C4○D4) = C23.308C24φ: C4○D4/D4 → C2 ⊆ Aut C2332C2^3.297(C4oD4)128,1140
C23.298(C4○D4) = C24⋊8D4φ: C4○D4/D4 → C2 ⊆ Aut C2332C2^3.298(C4oD4)128,1142
C23.299(C4○D4) = C24.95D4φ: C4○D4/D4 → C2 ⊆ Aut C2332C2^3.299(C4oD4)128,1144
C23.300(C4○D4) = C23.313C24φ: C4○D4/D4 → C2 ⊆ Aut C2364C2^3.300(C4oD4)128,1145
C23.301(C4○D4) = C24.252C23φ: C4○D4/D4 → C2 ⊆ Aut C2364C2^3.301(C4oD4)128,1149
C23.302(C4○D4) = C23.335C24φ: C4○D4/D4 → C2 ⊆ Aut C2332C2^3.302(C4oD4)128,1167
C23.303(C4○D4) = C24⋊4Q8φ: C4○D4/D4 → C2 ⊆ Aut C2332C2^3.303(C4oD4)128,1169
C23.304(C4○D4) = C24.567C23φ: C4○D4/D4 → C2 ⊆ Aut C2364C2^3.304(C4oD4)128,1170
C23.305(C4○D4) = C24.96D4φ: C4○D4/D4 → C2 ⊆ Aut C2332C2^3.305(C4oD4)128,1215
C23.306(C4○D4) = C24.576C23φ: C4○D4/D4 → C2 ⊆ Aut C2364C2^3.306(C4oD4)128,1216
C23.307(C4○D4) = C24.299C23φ: C4○D4/D4 → C2 ⊆ Aut C2364C2^3.307(C4oD4)128,1218
C23.308(C4○D4) = C23.388C24φ: C4○D4/D4 → C2 ⊆ Aut C2364C2^3.308(C4oD4)128,1220
C23.309(C4○D4) = C24.577C23φ: C4○D4/D4 → C2 ⊆ Aut C2364C2^3.309(C4oD4)128,1225
C23.310(C4○D4) = C23.398C24φ: C4○D4/D4 → C2 ⊆ Aut C2364C2^3.310(C4oD4)128,1230
C23.311(C4○D4) = C24.579C23φ: C4○D4/D4 → C2 ⊆ Aut C2364C2^3.311(C4oD4)128,1235
C23.312(C4○D4) = C23.405C24φ: C4○D4/D4 → C2 ⊆ Aut C2364C2^3.312(C4oD4)128,1237
C23.313(C4○D4) = C23.410C24φ: C4○D4/D4 → C2 ⊆ Aut C2364C2^3.313(C4oD4)128,1242
C23.314(C4○D4) = C24.583C23φ: C4○D4/D4 → C2 ⊆ Aut C2364C2^3.314(C4oD4)128,1296
C23.315(C4○D4) = C24.584C23φ: C4○D4/D4 → C2 ⊆ Aut C2364C2^3.315(C4oD4)128,1301
C23.316(C4○D4) = C2×D4.3D4φ: C4○D4/D4 → C2 ⊆ Aut C2332C2^3.316(C4oD4)128,1796
C23.317(C4○D4) = C2×D4.4D4φ: C4○D4/D4 → C2 ⊆ Aut C2332C2^3.317(C4oD4)128,1797
C23.318(C4○D4) = C2×D4.5D4φ: C4○D4/D4 → C2 ⊆ Aut C2364C2^3.318(C4oD4)128,1798
C23.319(C4○D4) = C2×C22.45C24φ: C4○D4/D4 → C2 ⊆ Aut C2332C2^3.319(C4oD4)128,2201
C23.320(C4○D4) = C2×C22.46C24φ: C4○D4/D4 → C2 ⊆ Aut C2364C2^3.320(C4oD4)128,2202
C23.321(C4○D4) = Q8×C22⋊C4φ: C4○D4/Q8 → C2 ⊆ Aut C2364C2^3.321(C4oD4)128,1072
C23.322(C4○D4) = C23.227C24φ: C4○D4/Q8 → C2 ⊆ Aut C2364C2^3.322(C4oD4)128,1077
C23.323(C4○D4) = C24.215C23φ: C4○D4/Q8 → C2 ⊆ Aut C2364C2^3.323(C4oD4)128,1093
C23.324(C4○D4) = C24.218C23φ: C4○D4/Q8 → C2 ⊆ Aut C2364C2^3.324(C4oD4)128,1096
C23.325(C4○D4) = C23.309C24φ: C4○D4/Q8 → C2 ⊆ Aut C2364C2^3.325(C4oD4)128,1141
C23.326(C4○D4) = C23.316C24φ: C4○D4/Q8 → C2 ⊆ Aut C2364C2^3.326(C4oD4)128,1148
C23.327(C4○D4) = C24.565C23φ: C4○D4/Q8 → C2 ⊆ Aut C2364C2^3.327(C4oD4)128,1168
C23.328(C4○D4) = C24.569C23φ: C4○D4/Q8 → C2 ⊆ Aut C2364C2^3.328(C4oD4)128,1174
C23.329(C4○D4) = C24.300C23φ: C4○D4/Q8 → C2 ⊆ Aut C2364C2^3.329(C4oD4)128,1219
C23.330(C4○D4) = C23.404C24φ: C4○D4/Q8 → C2 ⊆ Aut C2364C2^3.330(C4oD4)128,1236
C23.331(C4○D4) = C23.443C24φ: C4○D4/Q8 → C2 ⊆ Aut C2364C2^3.331(C4oD4)128,1275
C23.332(C4○D4) = C23.479C24φ: C4○D4/Q8 → C2 ⊆ Aut C2364C2^3.332(C4oD4)128,1311
C23.333(C4○D4) = C23.491C24φ: C4○D4/Q8 → C2 ⊆ Aut C2364C2^3.333(C4oD4)128,1323
C23.334(C4○D4) = C2×C22.47C24φ: C4○D4/Q8 → C2 ⊆ Aut C2364C2^3.334(C4oD4)128,2203
C23.335(C4○D4) = C4×C2.C42central extension (φ=1)128C2^3.335(C4oD4)128,164
C23.336(C4○D4) = C24.17Q8central extension (φ=1)64C2^3.336(C4oD4)128,165
C23.337(C4○D4) = C24.624C23central extension (φ=1)128C2^3.337(C4oD4)128,166
C23.338(C4○D4) = C24.625C23central extension (φ=1)128C2^3.338(C4oD4)128,167
C23.339(C4○D4) = C24.626C23central extension (φ=1)128C2^3.339(C4oD4)128,168
C23.340(C4○D4) = C23⋊2C42central extension (φ=1)64C2^3.340(C4oD4)128,169
C23.341(C4○D4) = C24.50D4central extension (φ=1)64C2^3.341(C4oD4)128,170
C23.342(C4○D4) = C24.5Q8central extension (φ=1)64C2^3.342(C4oD4)128,171
C23.343(C4○D4) = C24.52D4central extension (φ=1)64C2^3.343(C4oD4)128,172
C23.344(C4○D4) = C24.631C23central extension (φ=1)128C2^3.344(C4oD4)128,173
C23.345(C4○D4) = C24.632C23central extension (φ=1)128C2^3.345(C4oD4)128,174
C23.346(C4○D4) = C24.633C23central extension (φ=1)128C2^3.346(C4oD4)128,175
C23.347(C4○D4) = C24.634C23central extension (φ=1)128C2^3.347(C4oD4)128,176
C23.348(C4○D4) = C24.635C23central extension (φ=1)128C2^3.348(C4oD4)128,177
C23.349(C4○D4) = C24.636C23central extension (φ=1)128C2^3.349(C4oD4)128,178
C23.350(C4○D4) = C2×C42⋊4C4central extension (φ=1)128C2^3.350(C4oD4)128,999
C23.351(C4○D4) = C2×C4×C22⋊C4central extension (φ=1)64C2^3.351(C4oD4)128,1000
C23.352(C4○D4) = C2×C4×C4⋊C4central extension (φ=1)128C2^3.352(C4oD4)128,1001
C23.353(C4○D4) = C2×C23.7Q8central extension (φ=1)64C2^3.353(C4oD4)128,1010
C23.354(C4○D4) = C2×C23.34D4central extension (φ=1)64C2^3.354(C4oD4)128,1011
C23.355(C4○D4) = C2×C42⋊8C4central extension (φ=1)128C2^3.355(C4oD4)128,1013
C23.356(C4○D4) = C2×C42⋊5C4central extension (φ=1)128C2^3.356(C4oD4)128,1014
C23.357(C4○D4) = C2×C23.8Q8central extension (φ=1)64C2^3.357(C4oD4)128,1018
C23.358(C4○D4) = C2×C23.23D4central extension (φ=1)64C2^3.358(C4oD4)128,1019
C23.359(C4○D4) = C2×C23.63C23central extension (φ=1)128C2^3.359(C4oD4)128,1020
C23.360(C4○D4) = C2×C24.C22central extension (φ=1)64C2^3.360(C4oD4)128,1021
C23.361(C4○D4) = C2×C23.65C23central extension (φ=1)128C2^3.361(C4oD4)128,1023
C23.362(C4○D4) = C2×C24.3C22central extension (φ=1)64C2^3.362(C4oD4)128,1024
C23.363(C4○D4) = C2×C23.67C23central extension (φ=1)128C2^3.363(C4oD4)128,1026
C23.364(C4○D4) = C2×C23⋊2D4central extension (φ=1)64C2^3.364(C4oD4)128,1116
C23.365(C4○D4) = C2×C23⋊Q8central extension (φ=1)64C2^3.365(C4oD4)128,1117
C23.366(C4○D4) = C2×C23.10D4central extension (φ=1)64C2^3.366(C4oD4)128,1118
C23.367(C4○D4) = C2×C23.78C23central extension (φ=1)128C2^3.367(C4oD4)128,1119
C23.368(C4○D4) = C2×C23.Q8central extension (φ=1)64C2^3.368(C4oD4)128,1121
C23.369(C4○D4) = C2×C23.11D4central extension (φ=1)64C2^3.369(C4oD4)128,1122
C23.370(C4○D4) = C2×C23.81C23central extension (φ=1)128C2^3.370(C4oD4)128,1123
C23.371(C4○D4) = C2×C23.4Q8central extension (φ=1)64C2^3.371(C4oD4)128,1125
C23.372(C4○D4) = C2×C23.83C23central extension (φ=1)128C2^3.372(C4oD4)128,1126
C23.373(C4○D4) = C2×C23.84C23central extension (φ=1)128C2^3.373(C4oD4)128,1132
C23.374(C4○D4) = C22×C42⋊C2central extension (φ=1)64C2^3.374(C4oD4)128,2153
C23.375(C4○D4) = D4×C22×C4central extension (φ=1)64C2^3.375(C4oD4)128,2154
C23.376(C4○D4) = Q8×C22×C4central extension (φ=1)128C2^3.376(C4oD4)128,2155
C23.377(C4○D4) = C22×C4⋊D4central extension (φ=1)64C2^3.377(C4oD4)128,2164
C23.378(C4○D4) = C22×C22⋊Q8central extension (φ=1)64C2^3.378(C4oD4)128,2165
C23.379(C4○D4) = C22×C22.D4central extension (φ=1)64C2^3.379(C4oD4)128,2166
C23.380(C4○D4) = C22×C4.4D4central extension (φ=1)64C2^3.380(C4oD4)128,2168
C23.381(C4○D4) = C22×C42.C2central extension (φ=1)128C2^3.381(C4oD4)128,2169
C23.382(C4○D4) = C22×C42⋊2C2central extension (φ=1)64C2^3.382(C4oD4)128,2170

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