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Extensions 1→N→G→Q→1 with N=C2×C6 and Q=C4○D4

Direct product G=N×Q with N=C2×C6 and Q=C4○D4
dρLabelID
C2×C6×C4○D496C2xC6xC4oD4192,1533

Semidirect products G=N:Q with N=C2×C6 and Q=C4○D4
extensionφ:Q→Aut NdρLabelID
(C2×C6)⋊1(C4○D4) = C42⋊14D6φ: C4○D4/C4 → C22 ⊆ Aut C2×C648(C2xC6):1(C4oD4)192,1106
(C2×C6)⋊2(C4○D4) = D12⋊23D4φ: C4○D4/C4 → C22 ⊆ Aut C2×C648(C2xC6):2(C4oD4)192,1109
(C2×C6)⋊3(C4○D4) = Dic6⋊23D4φ: C4○D4/C4 → C22 ⊆ Aut C2×C696(C2xC6):3(C4oD4)192,1111
(C2×C6)⋊4(C4○D4) = Dic6⋊19D4φ: C4○D4/C4 → C22 ⊆ Aut C2×C696(C2xC6):4(C4oD4)192,1157
(C2×C6)⋊5(C4○D4) = C4⋊C4⋊21D6φ: C4○D4/C4 → C22 ⊆ Aut C2×C648(C2xC6):5(C4oD4)192,1165
(C2×C6)⋊6(C4○D4) = C4⋊C4⋊26D6φ: C4○D4/C4 → C22 ⊆ Aut C2×C648(C2xC6):6(C4oD4)192,1186
(C2×C6)⋊7(C4○D4) = D12⋊21D4φ: C4○D4/C4 → C22 ⊆ Aut C2×C648(C2xC6):7(C4oD4)192,1189
(C2×C6)⋊8(C4○D4) = C24.38D6φ: C4○D4/C22 → C22 ⊆ Aut C2×C648(C2xC6):8(C4oD4)192,1049
(C2×C6)⋊9(C4○D4) = C24.67D6φ: C4○D4/C22 → C22 ⊆ Aut C2×C648(C2xC6):9(C4oD4)192,1145
(C2×C6)⋊10(C4○D4) = C24.44D6φ: C4○D4/C22 → C22 ⊆ Aut C2×C648(C2xC6):10(C4oD4)192,1150
(C2×C6)⋊11(C4○D4) = C3×C22.19C24φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C648(C2xC6):11(C4oD4)192,1414
(C2×C6)⋊12(C4○D4) = C24.83D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C648(C2xC6):12(C4oD4)192,1350
(C2×C6)⋊13(C4○D4) = C22×C4○D12φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6):13(C4oD4)192,1513
(C2×C6)⋊14(C4○D4) = C3×D4⋊5D4φ: C4○D4/D4 → C2 ⊆ Aut C2×C648(C2xC6):14(C4oD4)192,1435
(C2×C6)⋊15(C4○D4) = C24.53D6φ: C4○D4/D4 → C2 ⊆ Aut C2×C648(C2xC6):15(C4oD4)192,1365
(C2×C6)⋊16(C4○D4) = C22×D4⋊2S3φ: C4○D4/D4 → C2 ⊆ Aut C2×C696(C2xC6):16(C4oD4)192,1515
(C2×C6)⋊17(C4○D4) = C3×Q8⋊5D4φ: C4○D4/Q8 → C2 ⊆ Aut C2×C696(C2xC6):17(C4oD4)192,1437
(C2×C6)⋊18(C4○D4) = C6.452- 1+4φ: C4○D4/Q8 → C2 ⊆ Aut C2×C696(C2xC6):18(C4oD4)192,1376
(C2×C6)⋊19(C4○D4) = C22×Q8⋊3S3φ: C4○D4/Q8 → C2 ⊆ Aut C2×C696(C2xC6):19(C4oD4)192,1518

Non-split extensions G=N.Q with N=C2×C6 and Q=C4○D4
extensionφ:Q→Aut NdρLabelID
(C2×C6).1(C4○D4) = D24⋊10C4φ: C4○D4/C4 → C22 ⊆ Aut C2×C6484(C2xC6).1(C4oD4)192,453
(C2×C6).2(C4○D4) = D24⋊7C4φ: C4○D4/C4 → C22 ⊆ Aut C2×C6484(C2xC6).2(C4oD4)192,454
(C2×C6).3(C4○D4) = C24.18D4φ: C4○D4/C4 → C22 ⊆ Aut C2×C6964-(C2xC6).3(C4oD4)192,455
(C2×C6).4(C4○D4) = C24.19D4φ: C4○D4/C4 → C22 ⊆ Aut C2×C6484+(C2xC6).4(C4oD4)192,456
(C2×C6).5(C4○D4) = C24.42D4φ: C4○D4/C4 → C22 ⊆ Aut C2×C6484(C2xC6).5(C4oD4)192,457
(C2×C6).6(C4○D4) = Q8.8D12φ: C4○D4/C4 → C22 ⊆ Aut C2×C6484(C2xC6).6(C4oD4)192,700
(C2×C6).7(C4○D4) = Q8.9D12φ: C4○D4/C4 → C22 ⊆ Aut C2×C6484+(C2xC6).7(C4oD4)192,701
(C2×C6).8(C4○D4) = Q8.10D12φ: C4○D4/C4 → C22 ⊆ Aut C2×C6964-(C2xC6).8(C4oD4)192,702
(C2×C6).9(C4○D4) = C24.100D4φ: C4○D4/C4 → C22 ⊆ Aut C2×C6484(C2xC6).9(C4oD4)192,703
(C2×C6).10(C4○D4) = C24.54D4φ: C4○D4/C4 → C22 ⊆ Aut C2×C6484(C2xC6).10(C4oD4)192,704
(C2×C6).11(C4○D4) = D8⋊5Dic3φ: C4○D4/C4 → C22 ⊆ Aut C2×C6484(C2xC6).11(C4oD4)192,755
(C2×C6).12(C4○D4) = D8⋊4Dic3φ: C4○D4/C4 → C22 ⊆ Aut C2×C6484(C2xC6).12(C4oD4)192,756
(C2×C6).13(C4○D4) = C42.102D6φ: C4○D4/C4 → C22 ⊆ Aut C2×C696(C2xC6).13(C4oD4)192,1097
(C2×C6).14(C4○D4) = C42.104D6φ: C4○D4/C4 → C22 ⊆ Aut C2×C696(C2xC6).14(C4oD4)192,1099
(C2×C6).15(C4○D4) = C42.105D6φ: C4○D4/C4 → C22 ⊆ Aut C2×C696(C2xC6).15(C4oD4)192,1100
(C2×C6).16(C4○D4) = C42⋊18D6φ: C4○D4/C4 → C22 ⊆ Aut C2×C648(C2xC6).16(C4oD4)192,1115
(C2×C6).17(C4○D4) = C42⋊19D6φ: C4○D4/C4 → C22 ⊆ Aut C2×C648(C2xC6).17(C4oD4)192,1119
(C2×C6).18(C4○D4) = C42.118D6φ: C4○D4/C4 → C22 ⊆ Aut C2×C696(C2xC6).18(C4oD4)192,1123
(C2×C6).19(C4○D4) = C42.119D6φ: C4○D4/C4 → C22 ⊆ Aut C2×C696(C2xC6).19(C4oD4)192,1124
(C2×C6).20(C4○D4) = C4⋊C4.178D6φ: C4○D4/C4 → C22 ⊆ Aut C2×C696(C2xC6).20(C4oD4)192,1159
(C2×C6).21(C4○D4) = C6.342+ 1+4φ: C4○D4/C4 → C22 ⊆ Aut C2×C696(C2xC6).21(C4oD4)192,1160
(C2×C6).22(C4○D4) = C6.702- 1+4φ: C4○D4/C4 → C22 ⊆ Aut C2×C696(C2xC6).22(C4oD4)192,1161
(C2×C6).23(C4○D4) = C6.462+ 1+4φ: C4○D4/C4 → C22 ⊆ Aut C2×C648(C2xC6).23(C4oD4)192,1176
(C2×C6).24(C4○D4) = C6.1152+ 1+4φ: C4○D4/C4 → C22 ⊆ Aut C2×C696(C2xC6).24(C4oD4)192,1177
(C2×C6).25(C4○D4) = C4⋊C4.187D6φ: C4○D4/C4 → C22 ⊆ Aut C2×C696(C2xC6).25(C4oD4)192,1183
(C2×C6).26(C4○D4) = C6.532+ 1+4φ: C4○D4/C4 → C22 ⊆ Aut C2×C648(C2xC6).26(C4oD4)192,1196
(C2×C6).27(C4○D4) = C6.772- 1+4φ: C4○D4/C4 → C22 ⊆ Aut C2×C696(C2xC6).27(C4oD4)192,1201
(C2×C6).28(C4○D4) = C6.562+ 1+4φ: C4○D4/C4 → C22 ⊆ Aut C2×C648(C2xC6).28(C4oD4)192,1203
(C2×C6).29(C4○D4) = C6.782- 1+4φ: C4○D4/C4 → C22 ⊆ Aut C2×C696(C2xC6).29(C4oD4)192,1204
(C2×C6).30(C4○D4) = D12.2D4φ: C4○D4/C22 → C22 ⊆ Aut C2×C6488-(C2xC6).30(C4oD4)192,307
(C2×C6).31(C4○D4) = D12.3D4φ: C4○D4/C22 → C22 ⊆ Aut C2×C6488+(C2xC6).31(C4oD4)192,308
(C2×C6).32(C4○D4) = D12.6D4φ: C4○D4/C22 → C22 ⊆ Aut C2×C6488+(C2xC6).32(C4oD4)192,313
(C2×C6).33(C4○D4) = D12.7D4φ: C4○D4/C22 → C22 ⊆ Aut C2×C6968-(C2xC6).33(C4oD4)192,314
(C2×C6).34(C4○D4) = M4(2).22D6φ: C4○D4/C22 → C22 ⊆ Aut C2×C6484(C2xC6).34(C4oD4)192,382
(C2×C6).35(C4○D4) = C42.196D6φ: C4○D4/C22 → C22 ⊆ Aut C2×C6484(C2xC6).35(C4oD4)192,383
(C2×C6).36(C4○D4) = M4(2).D6φ: C4○D4/C22 → C22 ⊆ Aut C2×C6488+(C2xC6).36(C4oD4)192,758
(C2×C6).37(C4○D4) = M4(2).13D6φ: C4○D4/C22 → C22 ⊆ Aut C2×C6488-(C2xC6).37(C4oD4)192,759
(C2×C6).38(C4○D4) = M4(2).15D6φ: C4○D4/C22 → C22 ⊆ Aut C2×C6488+(C2xC6).38(C4oD4)192,762
(C2×C6).39(C4○D4) = M4(2).16D6φ: C4○D4/C22 → C22 ⊆ Aut C2×C6968-(C2xC6).39(C4oD4)192,763
(C2×C6).40(C4○D4) = C24.42D6φ: C4○D4/C22 → C22 ⊆ Aut C2×C648(C2xC6).40(C4oD4)192,1054
(C2×C6).41(C4○D4) = C42⋊12D6φ: C4○D4/C22 → C22 ⊆ Aut C2×C648(C2xC6).41(C4oD4)192,1086
(C2×C6).42(C4○D4) = C42.96D6φ: C4○D4/C22 → C22 ⊆ Aut C2×C696(C2xC6).42(C4oD4)192,1090
(C2×C6).43(C4○D4) = C24.43D6φ: C4○D4/C22 → C22 ⊆ Aut C2×C648(C2xC6).43(C4oD4)192,1146
(C2×C6).44(C4○D4) = C24.46D6φ: C4○D4/C22 → C22 ⊆ Aut C2×C648(C2xC6).44(C4oD4)192,1152
(C2×C6).45(C4○D4) = C4⋊C4.197D6φ: C4○D4/C22 → C22 ⊆ Aut C2×C696(C2xC6).45(C4oD4)192,1208
(C2×C6).46(C4○D4) = C6.802- 1+4φ: C4○D4/C22 → C22 ⊆ Aut C2×C696(C2xC6).46(C4oD4)192,1209
(C2×C6).47(C4○D4) = C6.1222+ 1+4φ: C4○D4/C22 → C22 ⊆ Aut C2×C648(C2xC6).47(C4oD4)192,1217
(C2×C6).48(C4○D4) = C6.852- 1+4φ: C4○D4/C22 → C22 ⊆ Aut C2×C696(C2xC6).48(C4oD4)192,1224
(C2×C6).49(C4○D4) = C3×C8○D8φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C6482(C2xC6).49(C4oD4)192,876
(C2×C6).50(C4○D4) = C3×C8.26D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C6484(C2xC6).50(C4oD4)192,877
(C2×C6).51(C4○D4) = C3×C23.36C23φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).51(C4oD4)192,1418
(C2×C6).52(C4○D4) = C3×C22.32C24φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C648(C2xC6).52(C4oD4)192,1427
(C2×C6).53(C4○D4) = C3×C22.33C24φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).53(C4oD4)192,1428
(C2×C6).54(C4○D4) = C3⋊(C42⋊8C4)φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).54(C4oD4)192,209
(C2×C6).55(C4○D4) = C6.(C4×D4)φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).55(C4oD4)192,211
(C2×C6).56(C4○D4) = Dic3⋊C4⋊C4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).56(C4oD4)192,214
(C2×C6).57(C4○D4) = C6.(C4⋊Q8)φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).57(C4oD4)192,216
(C2×C6).58(C4○D4) = D6⋊(C4⋊C4)φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).58(C4oD4)192,226
(C2×C6).59(C4○D4) = C6.C22≀C2φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).59(C4oD4)192,231
(C2×C6).60(C4○D4) = (C22×S3)⋊Q8φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).60(C4oD4)192,232
(C2×C6).61(C4○D4) = (C22×C4).37D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).61(C4oD4)192,235
(C2×C6).62(C4○D4) = D24⋊11C4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C6482(C2xC6).62(C4oD4)192,259
(C2×C6).63(C4○D4) = D24⋊4C4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C6484(C2xC6).63(C4oD4)192,276
(C2×C6).64(C4○D4) = C12⋊4(C4⋊C4)φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).64(C4oD4)192,487
(C2×C6).65(C4○D4) = (C2×Dic6)⋊7C4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).65(C4oD4)192,488
(C2×C6).66(C4○D4) = C4×Dic3⋊C4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).66(C4oD4)192,490
(C2×C6).67(C4○D4) = C42⋊6Dic3φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).67(C4oD4)192,491
(C2×C6).68(C4○D4) = (C2×C42).6S3φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).68(C4oD4)192,492
(C2×C6).69(C4○D4) = C4×C4⋊Dic3φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).69(C4oD4)192,493
(C2×C6).70(C4○D4) = C42⋊11Dic3φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).70(C4oD4)192,495
(C2×C6).71(C4○D4) = C42⋊7Dic3φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).71(C4oD4)192,496
(C2×C6).72(C4○D4) = C4×D6⋊C4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).72(C4oD4)192,497
(C2×C6).73(C4○D4) = (C2×C4)⋊6D12φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).73(C4oD4)192,498
(C2×C6).74(C4○D4) = (C2×C42)⋊3S3φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).74(C4oD4)192,499
(C2×C6).75(C4○D4) = C24.15D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).75(C4oD4)192,504
(C2×C6).76(C4○D4) = C23⋊2Dic6φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).76(C4oD4)192,506
(C2×C6).77(C4○D4) = C24.17D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).77(C4oD4)192,507
(C2×C6).78(C4○D4) = C24.18D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).78(C4oD4)192,508
(C2×C6).79(C4○D4) = C24.19D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).79(C4oD4)192,510
(C2×C6).80(C4○D4) = C23⋊3D12φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).80(C4oD4)192,519
(C2×C6).81(C4○D4) = C24.27D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).81(C4oD4)192,520
(C2×C6).82(C4○D4) = (C2×Dic3)⋊Q8φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).82(C4oD4)192,538
(C2×C6).83(C4○D4) = C4⋊C4⋊5Dic3φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).83(C4oD4)192,539
(C2×C6).84(C4○D4) = (C2×C4).44D12φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).84(C4oD4)192,540
(C2×C6).85(C4○D4) = (C2×C12).54D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).85(C4oD4)192,541
(C2×C6).86(C4○D4) = (C2×C4)⋊3D12φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).86(C4oD4)192,550
(C2×C6).87(C4○D4) = (C2×C12).56D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).87(C4oD4)192,553
(C2×C6).88(C4○D4) = C4×C6.D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).88(C4oD4)192,768
(C2×C6).89(C4○D4) = C24.73D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).89(C4oD4)192,769
(C2×C6).90(C4○D4) = C24.74D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).90(C4oD4)192,770
(C2×C6).91(C4○D4) = C24.75D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).91(C4oD4)192,771
(C2×C6).92(C4○D4) = C24.76D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).92(C4oD4)192,772
(C2×C6).93(C4○D4) = C2×C4×Dic6φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).93(C4oD4)192,1026
(C2×C6).94(C4○D4) = C2×C12.6Q8φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).94(C4oD4)192,1028
(C2×C6).95(C4○D4) = C2×C42⋊2S3φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).95(C4oD4)192,1031
(C2×C6).96(C4○D4) = C2×C4×D12φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).96(C4oD4)192,1032
(C2×C6).97(C4○D4) = C2×C42⋊7S3φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).97(C4oD4)192,1035
(C2×C6).98(C4○D4) = C2×C42⋊3S3φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).98(C4oD4)192,1037
(C2×C6).99(C4○D4) = C42.277D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).99(C4oD4)192,1038
(C2×C6).100(C4○D4) = C2×C23.8D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).100(C4oD4)192,1041
(C2×C6).101(C4○D4) = C2×C23.9D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).101(C4oD4)192,1047
(C2×C6).102(C4○D4) = C2×Dic3⋊D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).102(C4oD4)192,1048
(C2×C6).103(C4○D4) = C2×C23.11D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).103(C4oD4)192,1050
(C2×C6).104(C4○D4) = C24.41D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C648(C2xC6).104(C4oD4)192,1053
(C2×C6).105(C4○D4) = C2×Dic3.Q8φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).105(C4oD4)192,1057
(C2×C6).106(C4○D4) = C2×D6.D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).106(C4oD4)192,1064
(C2×C6).107(C4○D4) = C2×D6⋊Q8φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).107(C4oD4)192,1067
(C2×C6).108(C4○D4) = C2×C4⋊C4⋊S3φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).108(C4oD4)192,1071
(C2×C6).109(C4○D4) = C6.62- 1+4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).109(C4oD4)192,1074
(C2×C6).110(C4○D4) = C2×C12.48D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).110(C4oD4)192,1343
(C2×C6).111(C4○D4) = C2×C23.26D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).111(C4oD4)192,1345
(C2×C6).112(C4○D4) = C2×C4×C3⋊D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).112(C4oD4)192,1347
(C2×C6).113(C4○D4) = C2×C23.28D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).113(C4oD4)192,1348
(C2×C6).114(C4○D4) = C2×C12⋊7D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).114(C4oD4)192,1349
(C2×C6).115(C4○D4) = C3×D4.3D4φ: C4○D4/D4 → C2 ⊆ Aut C2×C6484(C2xC6).115(C4oD4)192,904
(C2×C6).116(C4○D4) = C3×D4.4D4φ: C4○D4/D4 → C2 ⊆ Aut C2×C6484(C2xC6).116(C4oD4)192,905
(C2×C6).117(C4○D4) = C3×D4.5D4φ: C4○D4/D4 → C2 ⊆ Aut C2×C6964(C2xC6).117(C4oD4)192,906
(C2×C6).118(C4○D4) = C3×C22.45C24φ: C4○D4/D4 → C2 ⊆ Aut C2×C648(C2xC6).118(C4oD4)192,1440
(C2×C6).119(C4○D4) = C3×C22.46C24φ: C4○D4/D4 → C2 ⊆ Aut C2×C696(C2xC6).119(C4oD4)192,1441
(C2×C6).120(C4○D4) = (C2×C12)⋊Q8φ: C4○D4/D4 → C2 ⊆ Aut C2×C6192(C2xC6).120(C4oD4)192,205
(C2×C6).121(C4○D4) = C6.(C4×Q8)φ: C4○D4/D4 → C2 ⊆ Aut C2×C6192(C2xC6).121(C4oD4)192,206
(C2×C6).122(C4○D4) = Dic3.5C42φ: C4○D4/D4 → C2 ⊆ Aut C2×C6192(C2xC6).122(C4oD4)192,207
(C2×C6).123(C4○D4) = Dic3⋊C42φ: C4○D4/D4 → C2 ⊆ Aut C2×C6192(C2xC6).123(C4oD4)192,208
(C2×C6).124(C4○D4) = C3⋊(C42⋊5C4)φ: C4○D4/D4 → C2 ⊆ Aut C2×C6192(C2xC6).124(C4oD4)192,210
(C2×C6).125(C4○D4) = C2.(C4×D12)φ: C4○D4/D4 → C2 ⊆ Aut C2×C6192(C2xC6).125(C4oD4)192,212
(C2×C6).126(C4○D4) = (C2×C4)⋊Dic6φ: C4○D4/D4 → C2 ⊆ Aut C2×C6192(C2xC6).126(C4oD4)192,215
(C2×C6).127(C4○D4) = (C2×Dic3).9D4φ: C4○D4/D4 → C2 ⊆ Aut C2×C6192(C2xC6).127(C4oD4)192,217
(C2×C6).128(C4○D4) = (C2×C4).17D12φ: C4○D4/D4 → C2 ⊆ Aut C2×C6192(C2xC6).128(C4oD4)192,218
(C2×C6).129(C4○D4) = (C2×C4).Dic6φ: C4○D4/D4 → C2 ⊆ Aut C2×C6192(C2xC6).129(C4oD4)192,219
(C2×C6).130(C4○D4) = (C22×C4).30D6φ: C4○D4/D4 → C2 ⊆ Aut C2×C6192(C2xC6).130(C4oD4)192,221
(C2×C6).131(C4○D4) = D6⋊C42φ: C4○D4/D4 → C2 ⊆ Aut C2×C696(C2xC6).131(C4oD4)192,225
(C2×C6).132(C4○D4) = D6⋊C4⋊C4φ: C4○D4/D4 → C2 ⊆ Aut C2×C696(C2xC6).132(C4oD4)192,227
(C2×C6).133(C4○D4) = D6⋊C4⋊5C4φ: C4○D4/D4 → C2 ⊆ Aut C2×C696(C2xC6).133(C4oD4)192,228
(C2×C6).134(C4○D4) = D6⋊C4⋊3C4φ: C4○D4/D4 → C2 ⊆ Aut C2×C696(C2xC6).134(C4oD4)192,229
(C2×C6).135(C4○D4) = C6.(C4⋊D4)φ: C4○D4/D4 → C2 ⊆ Aut C2×C696(C2xC6).135(C4oD4)192,234
(C2×C6).136(C4○D4) = (C2×C12).33D4φ: C4○D4/D4 → C2 ⊆ Aut C2×C696(C2xC6).136(C4oD4)192,236
(C2×C6).137(C4○D4) = Dic3×C22⋊C4φ: C4○D4/D4 → C2 ⊆ Aut C2×C696(C2xC6).137(C4oD4)192,500
(C2×C6).138(C4○D4) = C24.55D6φ: C4○D4/D4 → C2 ⊆ Aut C2×C696(C2xC6).138(C4oD4)192,501
(C2×C6).139(C4○D4) = C24.56D6φ: C4○D4/D4 → C2 ⊆ Aut C2×C696(C2xC6).139(C4oD4)192,502
(C2×C6).140(C4○D4) = C24.14D6φ: C4○D4/D4 → C2 ⊆ Aut C2×C696(C2xC6).140(C4oD4)192,503
(C2×C6).141(C4○D4) = C24.57D6φ: C4○D4/D4 → C2 ⊆ Aut C2×C696(C2xC6).141(C4oD4)192,505
(C2×C6).142(C4○D4) = C24.58D6φ: C4○D4/D4 → C2 ⊆ Aut C2×C696(C2xC6).142(C4oD4)192,509
(C2×C6).143(C4○D4) = C24.20D6φ: C4○D4/D4 → C2 ⊆ Aut C2×C696(C2xC6).143(C4oD4)192,511
(C2×C6).144(C4○D4) = C24.21D6φ: C4○D4/D4 → C2 ⊆ Aut C2×C696(C2xC6).144(C4oD4)192,512
(C2×C6).145(C4○D4) = C24.23D6φ: C4○D4/D4 → C2 ⊆ Aut C2×C696(C2xC6).145(C4oD4)192,515
(C2×C6).146(C4○D4) = C24.24D6φ: C4○D4/D4 → C2 ⊆ Aut C2×C696(C2xC6).146(C4oD4)192,516
(C2×C6).147(C4○D4) = C24.60D6φ: C4○D4/D4 → C2 ⊆ Aut C2×C696(C2xC6).147(C4oD4)192,517
(C2×C6).148(C4○D4) = C24.25D6φ: C4○D4/D4 → C2 ⊆ Aut C2×C696(C2xC6).148(C4oD4)192,518
(C2×C6).149(C4○D4) = C4.(D6⋊C4)φ: C4○D4/D4 → C2 ⊆ Aut C2×C6192(C2xC6).149(C4oD4)192,532
(C2×C6).150(C4○D4) = Dic3×C4⋊C4φ: C4○D4/D4 → C2 ⊆ Aut C2×C6192(C2xC6).150(C4oD4)192,533
(C2×C6).151(C4○D4) = Dic3⋊(C4⋊C4)φ: C4○D4/D4 → C2 ⊆ Aut C2×C6192(C2xC6).151(C4oD4)192,535
(C2×C6).152(C4○D4) = (C4×Dic3)⋊9C4φ: C4○D4/D4 → C2 ⊆ Aut C2×C6192(C2xC6).152(C4oD4)192,536
(C2×C6).153(C4○D4) = C6.67(C4×D4)φ: C4○D4/D4 → C2 ⊆ Aut C2×C6192(C2xC6).153(C4oD4)192,537
(C2×C6).154(C4○D4) = (C2×Dic3).Q8φ: C4○D4/D4 → C2 ⊆ Aut C2×C6192(C2xC6).154(C4oD4)192,542
(C2×C6).155(C4○D4) = (C2×C12).288D4φ: C4○D4/D4 → C2 ⊆ Aut C2×C6192(C2xC6).155(C4oD4)192,544
(C2×C6).156(C4○D4) = C4⋊(D6⋊C4)φ: C4○D4/D4 → C2 ⊆ Aut C2×C696(C2xC6).156(C4oD4)192,546
(C2×C6).157(C4○D4) = D6⋊C4⋊7C4φ: C4○D4/D4 → C2 ⊆ Aut C2×C696(C2xC6).157(C4oD4)192,549
(C2×C6).158(C4○D4) = C24.23D4φ: C4○D4/D4 → C2 ⊆ Aut C2×C6484(C2xC6).158(C4oD4)192,719
(C2×C6).159(C4○D4) = C24.44D4φ: C4○D4/D4 → C2 ⊆ Aut C2×C6484(C2xC6).159(C4oD4)192,736
(C2×C6).160(C4○D4) = C24.29D4φ: C4○D4/D4 → C2 ⊆ Aut C2×C6964(C2xC6).160(C4oD4)192,751
(C2×C6).161(C4○D4) = C24.29D6φ: C4○D4/D4 → C2 ⊆ Aut C2×C696(C2xC6).161(C4oD4)192,779
(C2×C6).162(C4○D4) = C24.30D6φ: C4○D4/D4 → C2 ⊆ Aut C2×C696(C2xC6).162(C4oD4)192,780
(C2×C6).163(C4○D4) = C24.31D6φ: C4○D4/D4 → C2 ⊆ Aut C2×C696(C2xC6).163(C4oD4)192,781
(C2×C6).164(C4○D4) = C24.32D6φ: C4○D4/D4 → C2 ⊆ Aut C2×C696(C2xC6).164(C4oD4)192,782
(C2×C6).165(C4○D4) = C2×C23.16D6φ: C4○D4/D4 → C2 ⊆ Aut C2×C696(C2xC6).165(C4oD4)192,1039
(C2×C6).166(C4○D4) = C2×Dic3.D4φ: C4○D4/D4 → C2 ⊆ Aut C2×C696(C2xC6).166(C4oD4)192,1040
(C2×C6).167(C4○D4) = C2×Dic3⋊4D4φ: C4○D4/D4 → C2 ⊆ Aut C2×C696(C2xC6).167(C4oD4)192,1044
(C2×C6).168(C4○D4) = C2×C23.21D6φ: C4○D4/D4 → C2 ⊆ Aut C2×C696(C2xC6).168(C4oD4)192,1051
(C2×C6).169(C4○D4) = C2×Dic6⋊C4φ: C4○D4/D4 → C2 ⊆ Aut C2×C6192(C2xC6).169(C4oD4)192,1055
(C2×C6).170(C4○D4) = C2×C4.Dic6φ: C4○D4/D4 → C2 ⊆ Aut C2×C6192(C2xC6).170(C4oD4)192,1058
(C2×C6).171(C4○D4) = C2×C4⋊C4⋊7S3φ: C4○D4/D4 → C2 ⊆ Aut C2×C696(C2xC6).171(C4oD4)192,1061
(C2×C6).172(C4○D4) = C2×C4.D12φ: C4○D4/D4 → C2 ⊆ Aut C2×C696(C2xC6).172(C4oD4)192,1068
(C2×C6).173(C4○D4) = C6.52- 1+4φ: C4○D4/D4 → C2 ⊆ Aut C2×C696(C2xC6).173(C4oD4)192,1072
(C2×C6).174(C4○D4) = C2×D4×Dic3φ: C4○D4/D4 → C2 ⊆ Aut C2×C696(C2xC6).174(C4oD4)192,1354
(C2×C6).175(C4○D4) = C2×C23.23D6φ: C4○D4/D4 → C2 ⊆ Aut C2×C696(C2xC6).175(C4oD4)192,1355
(C2×C6).176(C4○D4) = C2×C23.12D6φ: C4○D4/D4 → C2 ⊆ Aut C2×C696(C2xC6).176(C4oD4)192,1356
(C2×C6).177(C4○D4) = C2×D6⋊3D4φ: C4○D4/D4 → C2 ⊆ Aut C2×C696(C2xC6).177(C4oD4)192,1359
(C2×C6).178(C4○D4) = C2×C23.14D6φ: C4○D4/D4 → C2 ⊆ Aut C2×C696(C2xC6).178(C4oD4)192,1361
(C2×C6).179(C4○D4) = C3×C22.47C24φ: C4○D4/Q8 → C2 ⊆ Aut C2×C696(C2xC6).179(C4oD4)192,1442
(C2×C6).180(C4○D4) = C2.(C4×Dic6)φ: C4○D4/Q8 → C2 ⊆ Aut C2×C6192(C2xC6).180(C4oD4)192,213
(C2×C6).181(C4○D4) = (C22×C4).85D6φ: C4○D4/Q8 → C2 ⊆ Aut C2×C6192(C2xC6).181(C4oD4)192,220
(C2×C6).182(C4○D4) = C22.58(S3×D4)φ: C4○D4/Q8 → C2 ⊆ Aut C2×C696(C2xC6).182(C4oD4)192,223
(C2×C6).183(C4○D4) = (C2×C4)⋊9D12φ: C4○D4/Q8 → C2 ⊆ Aut C2×C696(C2xC6).183(C4oD4)192,224
(C2×C6).184(C4○D4) = (C2×C12)⋊5D4φ: C4○D4/Q8 → C2 ⊆ Aut C2×C696(C2xC6).184(C4oD4)192,230
(C2×C6).185(C4○D4) = (C2×C4).21D12φ: C4○D4/Q8 → C2 ⊆ Aut C2×C696(C2xC6).185(C4oD4)192,233
(C2×C6).186(C4○D4) = C12⋊(C4⋊C4)φ: C4○D4/Q8 → C2 ⊆ Aut C2×C6192(C2xC6).186(C4oD4)192,531
(C2×C6).187(C4○D4) = C4⋊C4⋊6Dic3φ: C4○D4/Q8 → C2 ⊆ Aut C2×C6192(C2xC6).187(C4oD4)192,543
(C2×C6).188(C4○D4) = (C2×C12).55D4φ: C4○D4/Q8 → C2 ⊆ Aut C2×C6192(C2xC6).188(C4oD4)192,545
(C2×C6).189(C4○D4) = (C2×D12)⋊10C4φ: C4○D4/Q8 → C2 ⊆ Aut C2×C696(C2xC6).189(C4oD4)192,547
(C2×C6).190(C4○D4) = D6⋊C4⋊6C4φ: C4○D4/Q8 → C2 ⊆ Aut C2×C696(C2xC6).190(C4oD4)192,548
(C2×C6).191(C4○D4) = (C2×C12).289D4φ: C4○D4/Q8 → C2 ⊆ Aut C2×C696(C2xC6).191(C4oD4)192,551
(C2×C6).192(C4○D4) = (C2×C12).290D4φ: C4○D4/Q8 → C2 ⊆ Aut C2×C696(C2xC6).192(C4oD4)192,552
(C2×C6).193(C4○D4) = (C6×Q8)⋊7C4φ: C4○D4/Q8 → C2 ⊆ Aut C2×C6192(C2xC6).193(C4oD4)192,788
(C2×C6).194(C4○D4) = C22.52(S3×Q8)φ: C4○D4/Q8 → C2 ⊆ Aut C2×C6192(C2xC6).194(C4oD4)192,789
(C2×C6).195(C4○D4) = (C22×Q8)⋊9S3φ: C4○D4/Q8 → C2 ⊆ Aut C2×C696(C2xC6).195(C4oD4)192,790
(C2×C6).196(C4○D4) = C2×Dic3⋊5D4φ: C4○D4/Q8 → C2 ⊆ Aut C2×C696(C2xC6).196(C4oD4)192,1062
(C2×C6).197(C4○D4) = C2×C12⋊D4φ: C4○D4/Q8 → C2 ⊆ Aut C2×C696(C2xC6).197(C4oD4)192,1065
(C2×C6).198(C4○D4) = C6.112+ 1+4φ: C4○D4/Q8 → C2 ⊆ Aut C2×C696(C2xC6).198(C4oD4)192,1073
(C2×C6).199(C4○D4) = C2×Q8×Dic3φ: C4○D4/Q8 → C2 ⊆ Aut C2×C6192(C2xC6).199(C4oD4)192,1370
(C2×C6).200(C4○D4) = C2×D6⋊3Q8φ: C4○D4/Q8 → C2 ⊆ Aut C2×C696(C2xC6).200(C4oD4)192,1372
(C2×C6).201(C4○D4) = C2×C12.23D4φ: C4○D4/Q8 → C2 ⊆ Aut C2×C696(C2xC6).201(C4oD4)192,1373
(C2×C6).202(C4○D4) = C3×C42⋊4C4central extension (φ=1)192(C2xC6).202(C4oD4)192,809
(C2×C6).203(C4○D4) = C12×C22⋊C4central extension (φ=1)96(C2xC6).203(C4oD4)192,810
(C2×C6).204(C4○D4) = C12×C4⋊C4central extension (φ=1)192(C2xC6).204(C4oD4)192,811
(C2×C6).205(C4○D4) = C3×C23.7Q8central extension (φ=1)96(C2xC6).205(C4oD4)192,813
(C2×C6).206(C4○D4) = C3×C23.34D4central extension (φ=1)96(C2xC6).206(C4oD4)192,814
(C2×C6).207(C4○D4) = C3×C42⋊8C4central extension (φ=1)192(C2xC6).207(C4oD4)192,815
(C2×C6).208(C4○D4) = C3×C42⋊5C4central extension (φ=1)192(C2xC6).208(C4oD4)192,816
(C2×C6).209(C4○D4) = C3×C23.8Q8central extension (φ=1)96(C2xC6).209(C4oD4)192,818
(C2×C6).210(C4○D4) = C3×C23.23D4central extension (φ=1)96(C2xC6).210(C4oD4)192,819
(C2×C6).211(C4○D4) = C3×C23.63C23central extension (φ=1)192(C2xC6).211(C4oD4)192,820
(C2×C6).212(C4○D4) = C3×C24.C22central extension (φ=1)96(C2xC6).212(C4oD4)192,821
(C2×C6).213(C4○D4) = C3×C23.65C23central extension (φ=1)192(C2xC6).213(C4oD4)192,822
(C2×C6).214(C4○D4) = C3×C24.3C22central extension (φ=1)96(C2xC6).214(C4oD4)192,823
(C2×C6).215(C4○D4) = C3×C23.67C23central extension (φ=1)192(C2xC6).215(C4oD4)192,824
(C2×C6).216(C4○D4) = C3×C23⋊2D4central extension (φ=1)96(C2xC6).216(C4oD4)192,825
(C2×C6).217(C4○D4) = C3×C23⋊Q8central extension (φ=1)96(C2xC6).217(C4oD4)192,826
(C2×C6).218(C4○D4) = C3×C23.10D4central extension (φ=1)96(C2xC6).218(C4oD4)192,827
(C2×C6).219(C4○D4) = C3×C23.78C23central extension (φ=1)192(C2xC6).219(C4oD4)192,828
(C2×C6).220(C4○D4) = C3×C23.Q8central extension (φ=1)96(C2xC6).220(C4oD4)192,829
(C2×C6).221(C4○D4) = C3×C23.11D4central extension (φ=1)96(C2xC6).221(C4oD4)192,830
(C2×C6).222(C4○D4) = C3×C23.81C23central extension (φ=1)192(C2xC6).222(C4oD4)192,831
(C2×C6).223(C4○D4) = C3×C23.4Q8central extension (φ=1)96(C2xC6).223(C4oD4)192,832
(C2×C6).224(C4○D4) = C3×C23.83C23central extension (φ=1)192(C2xC6).224(C4oD4)192,833
(C2×C6).225(C4○D4) = C3×C23.84C23central extension (φ=1)192(C2xC6).225(C4oD4)192,834
(C2×C6).226(C4○D4) = C6×C42⋊C2central extension (φ=1)96(C2xC6).226(C4oD4)192,1403
(C2×C6).227(C4○D4) = D4×C2×C12central extension (φ=1)96(C2xC6).227(C4oD4)192,1404
(C2×C6).228(C4○D4) = Q8×C2×C12central extension (φ=1)192(C2xC6).228(C4oD4)192,1405
(C2×C6).229(C4○D4) = C6×C4⋊D4central extension (φ=1)96(C2xC6).229(C4oD4)192,1411
(C2×C6).230(C4○D4) = C6×C22⋊Q8central extension (φ=1)96(C2xC6).230(C4oD4)192,1412
(C2×C6).231(C4○D4) = C6×C22.D4central extension (φ=1)96(C2xC6).231(C4oD4)192,1413
(C2×C6).232(C4○D4) = C6×C4.4D4central extension (φ=1)96(C2xC6).232(C4oD4)192,1415
(C2×C6).233(C4○D4) = C6×C42.C2central extension (φ=1)192(C2xC6).233(C4oD4)192,1416
(C2×C6).234(C4○D4) = C6×C42⋊2C2central extension (φ=1)96(C2xC6).234(C4oD4)192,1417

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