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Extensions 1→N→G→Q→1 with N=C2×C6 and Q=C2×Q8

Direct product G=N×Q with N=C2×C6 and Q=C2×Q8
dρLabelID
Q8×C22×C6192Q8xC2^2xC6192,1532

Semidirect products G=N:Q with N=C2×C6 and Q=C2×Q8
extensionφ:Q→Aut NdρLabelID
(C2×C6)⋊1(C2×Q8) = D4×Dic6φ: C2×Q8/C4 → C22 ⊆ Aut C2×C696(C2xC6):1(C2xQ8)192,1096
(C2×C6)⋊2(C2×Q8) = S3×C22⋊Q8φ: C2×Q8/C4 → C22 ⊆ Aut C2×C648(C2xC6):2(C2xQ8)192,1185
(C2×C6)⋊3(C2×Q8) = Dic6⋊21D4φ: C2×Q8/C4 → C22 ⊆ Aut C2×C696(C2xC6):3(C2xQ8)192,1191
(C2×C6)⋊4(C2×Q8) = C2×Dic3.D4φ: C2×Q8/C22 → C22 ⊆ Aut C2×C696(C2xC6):4(C2xQ8)192,1040
(C2×C6)⋊5(C2×Q8) = C6×C22⋊Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6):5(C2xQ8)192,1412
(C2×C6)⋊6(C2×Q8) = C2×C12.48D4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6):6(C2xQ8)192,1343
(C2×C6)⋊7(C2×Q8) = C23×Dic6φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6):7(C2xQ8)192,1510
(C2×C6)⋊8(C2×Q8) = C3×D4×Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C696(C2xC6):8(C2xQ8)192,1438
(C2×C6)⋊9(C2×Q8) = Q8×C3⋊D4φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C696(C2xC6):9(C2xQ8)192,1374
(C2×C6)⋊10(C2×Q8) = C22×S3×Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C696(C2xC6):10(C2xQ8)192,1517

Non-split extensions G=N.Q with N=C2×C6 and Q=C2×Q8
extensionφ:Q→Aut NdρLabelID
(C2×C6).1(C2×Q8) = S3×C8.C4φ: C2×Q8/C4 → C22 ⊆ Aut C2×C6484(C2xC6).1(C2xQ8)192,451
(C2×C6).2(C2×Q8) = M4(2).25D6φ: C2×Q8/C4 → C22 ⊆ Aut C2×C6484(C2xC6).2(C2xQ8)192,452
(C2×C6).3(C2×Q8) = D4⋊5Dic6φ: C2×Q8/C4 → C22 ⊆ Aut C2×C696(C2xC6).3(C2xQ8)192,1098
(C2×C6).4(C2×Q8) = D4⋊6Dic6φ: C2×Q8/C4 → C22 ⊆ Aut C2×C696(C2xC6).4(C2xQ8)192,1102
(C2×C6).5(C2×Q8) = (Q8×Dic3)⋊C2φ: C2×Q8/C4 → C22 ⊆ Aut C2×C696(C2xC6).5(C2xQ8)192,1181
(C2×C6).6(C2×Q8) = C6.752- 1+4φ: C2×Q8/C4 → C22 ⊆ Aut C2×C696(C2xC6).6(C2xQ8)192,1182
(C2×C6).7(C2×Q8) = C6.512+ 1+4φ: C2×Q8/C4 → C22 ⊆ Aut C2×C648(C2xC6).7(C2xQ8)192,1193
(C2×C6).8(C2×Q8) = C6.1182+ 1+4φ: C2×Q8/C4 → C22 ⊆ Aut C2×C696(C2xC6).8(C2xQ8)192,1194
(C2×C6).9(C2×Q8) = C6.522+ 1+4φ: C2×Q8/C4 → C22 ⊆ Aut C2×C696(C2xC6).9(C2xQ8)192,1195
(C2×C6).10(C2×Q8) = C2×C12.53D4φ: C2×Q8/C22 → C22 ⊆ Aut C2×C696(C2xC6).10(C2xQ8)192,682
(C2×C6).11(C2×Q8) = C23.8Dic6φ: C2×Q8/C22 → C22 ⊆ Aut C2×C6484(C2xC6).11(C2xQ8)192,683
(C2×C6).12(C2×Q8) = C42.88D6φ: C2×Q8/C22 → C22 ⊆ Aut C2×C696(C2xC6).12(C2xQ8)192,1076
(C2×C6).13(C2×Q8) = C42.90D6φ: C2×Q8/C22 → C22 ⊆ Aut C2×C696(C2xC6).13(C2xQ8)192,1078
(C2×C6).14(C2×Q8) = C6×C8.C4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).14(C2xQ8)192,862
(C2×C6).15(C2×Q8) = C3×M4(2).C4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C6484(C2xC6).15(C2xQ8)192,863
(C2×C6).16(C2×Q8) = C3×C23.37C23φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).16(C2xQ8)192,1422
(C2×C6).17(C2×Q8) = C3×C23⋊2Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C648(C2xC6).17(C2xQ8)192,1432
(C2×C6).18(C2×Q8) = C3×C23.41C23φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).18(C2xQ8)192,1433
(C2×C6).19(C2×Q8) = C2.(C4×Dic6)φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).19(C2xQ8)192,213
(C2×C6).20(C2×Q8) = Dic3⋊C4⋊C4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).20(C2xQ8)192,214
(C2×C6).21(C2×Q8) = (C2×C4).Dic6φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).21(C2xQ8)192,219
(C2×C6).22(C2×Q8) = (C22×C4).85D6φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).22(C2xQ8)192,220
(C2×C6).23(C2×Q8) = C12⋊4(C4⋊C4)φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).23(C2xQ8)192,487
(C2×C6).24(C2×Q8) = (C2×Dic6)⋊7C4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).24(C2xQ8)192,488
(C2×C6).25(C2×Q8) = C4×Dic3⋊C4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).25(C2xQ8)192,490
(C2×C6).26(C2×Q8) = (C2×C42).6S3φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).26(C2xQ8)192,492
(C2×C6).27(C2×Q8) = C4×C4⋊Dic3φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).27(C2xQ8)192,493
(C2×C6).28(C2×Q8) = C42⋊10Dic3φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).28(C2xQ8)192,494
(C2×C6).29(C2×Q8) = C42⋊11Dic3φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).29(C2xQ8)192,495
(C2×C6).30(C2×Q8) = C24.55D6φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).30(C2xQ8)192,501
(C2×C6).31(C2×Q8) = C24.57D6φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).31(C2xQ8)192,505
(C2×C6).32(C2×Q8) = C23⋊2Dic6φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).32(C2xQ8)192,506
(C2×C6).33(C2×Q8) = C24.17D6φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).33(C2xQ8)192,507
(C2×C6).34(C2×Q8) = C24.18D6φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).34(C2xQ8)192,508
(C2×C6).35(C2×Q8) = C24.58D6φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).35(C2xQ8)192,509
(C2×C6).36(C2×Q8) = (C4×Dic3)⋊9C4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).36(C2xQ8)192,536
(C2×C6).37(C2×Q8) = (C2×C12).54D4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).37(C2xQ8)192,541
(C2×C6).38(C2×Q8) = C4⋊C4⋊6Dic3φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).38(C2xQ8)192,543
(C2×C6).39(C2×Q8) = (C2×C12).55D4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).39(C2xQ8)192,545
(C2×C6).40(C2×Q8) = C2×C24.C4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).40(C2xQ8)192,666
(C2×C6).41(C2×Q8) = C23.9Dic6φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C6484(C2xC6).41(C2xQ8)192,684
(C2×C6).42(C2×Q8) = C2×C6.C42φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).42(C2xQ8)192,767
(C2×C6).43(C2×Q8) = C24.73D6φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).43(C2xQ8)192,769
(C2×C6).44(C2×Q8) = C24.75D6φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).44(C2xQ8)192,771
(C2×C6).45(C2×Q8) = C2×C4×Dic6φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).45(C2xQ8)192,1026
(C2×C6).46(C2×Q8) = C2×C12⋊2Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).46(C2xQ8)192,1027
(C2×C6).47(C2×Q8) = C2×C12.6Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).47(C2xQ8)192,1028
(C2×C6).48(C2×Q8) = C42.274D6φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).48(C2xQ8)192,1029
(C2×C6).49(C2×Q8) = C23⋊3Dic6φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C648(C2xC6).49(C2xQ8)192,1042
(C2×C6).50(C2×Q8) = C2×C12⋊Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).50(C2xQ8)192,1056
(C2×C6).51(C2×Q8) = C2×C4.Dic6φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).51(C2xQ8)192,1058
(C2×C6).52(C2×Q8) = C6.72+ 1+4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C696(C2xC6).52(C2xQ8)192,1059
(C2×C6).53(C2×Q8) = C22×Dic3⋊C4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).53(C2xQ8)192,1342
(C2×C6).54(C2×Q8) = C22×C4⋊Dic3φ: C2×Q8/C2×C4 → C2 ⊆ Aut C2×C6192(C2xC6).54(C2xQ8)192,1344
(C2×C6).55(C2×Q8) = C3×D4⋊3Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C696(C2xC6).55(C2xQ8)192,1443
(C2×C6).56(C2×Q8) = (C2×C12)⋊Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C6192(C2xC6).56(C2xQ8)192,205
(C2×C6).57(C2×Q8) = C6.(C4×Q8)φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C6192(C2xC6).57(C2xQ8)192,206
(C2×C6).58(C2×Q8) = Dic3⋊C42φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C6192(C2xC6).58(C2xQ8)192,208
(C2×C6).59(C2×Q8) = C3⋊(C42⋊8C4)φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C6192(C2xC6).59(C2xQ8)192,209
(C2×C6).60(C2×Q8) = C6.(C4×D4)φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C6192(C2xC6).60(C2xQ8)192,211
(C2×C6).61(C2×Q8) = C2.(C4×D12)φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C6192(C2xC6).61(C2xQ8)192,212
(C2×C6).62(C2×Q8) = (C2×C4)⋊Dic6φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C6192(C2xC6).62(C2xQ8)192,215
(C2×C6).63(C2×Q8) = C6.(C4⋊Q8)φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C6192(C2xC6).63(C2xQ8)192,216
(C2×C6).64(C2×Q8) = (C2×Dic3).9D4φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C6192(C2xC6).64(C2xQ8)192,217
(C2×C6).65(C2×Q8) = (C2×C4).17D12φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C6192(C2xC6).65(C2xQ8)192,218
(C2×C6).66(C2×Q8) = S3×C2.C42φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C696(C2xC6).66(C2xQ8)192,222
(C2×C6).67(C2×Q8) = D6⋊(C4⋊C4)φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C696(C2xC6).67(C2xQ8)192,226
(C2×C6).68(C2×Q8) = D6⋊C4⋊C4φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C696(C2xC6).68(C2xQ8)192,227
(C2×C6).69(C2×Q8) = (C22×S3)⋊Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C696(C2xC6).69(C2xQ8)192,232
(C2×C6).70(C2×Q8) = (C22×C4).37D6φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C696(C2xC6).70(C2xQ8)192,235
(C2×C6).71(C2×Q8) = (C2×C12).33D4φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C696(C2xC6).71(C2xQ8)192,236
(C2×C6).72(C2×Q8) = C12⋊(C4⋊C4)φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C6192(C2xC6).72(C2xQ8)192,531
(C2×C6).73(C2×Q8) = C4.(D6⋊C4)φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C6192(C2xC6).73(C2xQ8)192,532
(C2×C6).74(C2×Q8) = Dic3×C4⋊C4φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C6192(C2xC6).74(C2xQ8)192,533
(C2×C6).75(C2×Q8) = (C4×Dic3)⋊8C4φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C6192(C2xC6).75(C2xQ8)192,534
(C2×C6).76(C2×Q8) = Dic3⋊(C4⋊C4)φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C6192(C2xC6).76(C2xQ8)192,535
(C2×C6).77(C2×Q8) = C6.67(C4×D4)φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C6192(C2xC6).77(C2xQ8)192,537
(C2×C6).78(C2×Q8) = (C2×Dic3)⋊Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C6192(C2xC6).78(C2xQ8)192,538
(C2×C6).79(C2×Q8) = C4⋊C4⋊5Dic3φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C6192(C2xC6).79(C2xQ8)192,539
(C2×C6).80(C2×Q8) = (C2×C4).44D12φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C6192(C2xC6).80(C2xQ8)192,540
(C2×C6).81(C2×Q8) = (C2×Dic3).Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C6192(C2xC6).81(C2xQ8)192,542
(C2×C6).82(C2×Q8) = (C2×C12).288D4φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C6192(C2xC6).82(C2xQ8)192,544
(C2×C6).83(C2×Q8) = C4⋊(D6⋊C4)φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C696(C2xC6).83(C2xQ8)192,546
(C2×C6).84(C2×Q8) = D6⋊C4⋊6C4φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C696(C2xC6).84(C2xQ8)192,548
(C2×C6).85(C2×Q8) = (C2×C12).290D4φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C696(C2xC6).85(C2xQ8)192,552
(C2×C6).86(C2×Q8) = (C2×C12).56D4φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C696(C2xC6).86(C2xQ8)192,553
(C2×C6).87(C2×Q8) = (C6×Q8)⋊7C4φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C6192(C2xC6).87(C2xQ8)192,788
(C2×C6).88(C2×Q8) = C22.52(S3×Q8)φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C6192(C2xC6).88(C2xQ8)192,789
(C2×C6).89(C2×Q8) = (C22×Q8)⋊9S3φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C696(C2xC6).89(C2xQ8)192,790
(C2×C6).90(C2×Q8) = C2×Dic6⋊C4φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C6192(C2xC6).90(C2xQ8)192,1055
(C2×C6).91(C2×Q8) = C2×Dic3.Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C6192(C2xC6).91(C2xQ8)192,1057
(C2×C6).92(C2×Q8) = C2×S3×C4⋊C4φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C696(C2xC6).92(C2xQ8)192,1060
(C2×C6).93(C2×Q8) = C2×D6⋊Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C696(C2xC6).93(C2xQ8)192,1067
(C2×C6).94(C2×Q8) = C2×C4.D12φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C696(C2xC6).94(C2xQ8)192,1068
(C2×C6).95(C2×Q8) = C6.102+ 1+4φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C696(C2xC6).95(C2xQ8)192,1070
(C2×C6).96(C2×Q8) = C2×Dic3⋊Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C6192(C2xC6).96(C2xQ8)192,1369
(C2×C6).97(C2×Q8) = C2×Q8×Dic3φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C6192(C2xC6).97(C2xQ8)192,1370
(C2×C6).98(C2×Q8) = C2×D6⋊3Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C2×C696(C2xC6).98(C2xQ8)192,1372
(C2×C6).99(C2×Q8) = C6×C2.C42central extension (φ=1)192(C2xC6).99(C2xQ8)192,808
(C2×C6).100(C2×Q8) = C12×C4⋊C4central extension (φ=1)192(C2xC6).100(C2xQ8)192,811
(C2×C6).101(C2×Q8) = C3×C23.7Q8central extension (φ=1)96(C2xC6).101(C2xQ8)192,813
(C2×C6).102(C2×Q8) = C3×C42⋊8C4central extension (φ=1)192(C2xC6).102(C2xQ8)192,815
(C2×C6).103(C2×Q8) = C3×C42⋊9C4central extension (φ=1)192(C2xC6).103(C2xQ8)192,817
(C2×C6).104(C2×Q8) = C3×C23.8Q8central extension (φ=1)96(C2xC6).104(C2xQ8)192,818
(C2×C6).105(C2×Q8) = C3×C23.63C23central extension (φ=1)192(C2xC6).105(C2xQ8)192,820
(C2×C6).106(C2×Q8) = C3×C23.65C23central extension (φ=1)192(C2xC6).106(C2xQ8)192,822
(C2×C6).107(C2×Q8) = C3×C23.67C23central extension (φ=1)192(C2xC6).107(C2xQ8)192,824
(C2×C6).108(C2×Q8) = C3×C23⋊Q8central extension (φ=1)96(C2xC6).108(C2xQ8)192,826
(C2×C6).109(C2×Q8) = C3×C23.78C23central extension (φ=1)192(C2xC6).109(C2xQ8)192,828
(C2×C6).110(C2×Q8) = C3×C23.Q8central extension (φ=1)96(C2xC6).110(C2xQ8)192,829
(C2×C6).111(C2×Q8) = C3×C23.81C23central extension (φ=1)192(C2xC6).111(C2xQ8)192,831
(C2×C6).112(C2×Q8) = C3×C23.4Q8central extension (φ=1)96(C2xC6).112(C2xQ8)192,832
(C2×C6).113(C2×Q8) = C3×C23.83C23central extension (φ=1)192(C2xC6).113(C2xQ8)192,833
(C2×C6).114(C2×Q8) = C2×C6×C4⋊C4central extension (φ=1)192(C2xC6).114(C2xQ8)192,1402
(C2×C6).115(C2×Q8) = Q8×C2×C12central extension (φ=1)192(C2xC6).115(C2xQ8)192,1405
(C2×C6).116(C2×Q8) = C6×C42.C2central extension (φ=1)192(C2xC6).116(C2xQ8)192,1416
(C2×C6).117(C2×Q8) = C6×C4⋊Q8central extension (φ=1)192(C2xC6).117(C2xQ8)192,1420

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