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Extensions 1→N→G→Q→1 with N=C2×C4 and Q=Dic6

Direct product G=N×Q with N=C2×C4 and Q=Dic6
dρLabelID
C2×C4×Dic6192C2xC4xDic6192,1026

Semidirect products G=N:Q with N=C2×C4 and Q=Dic6
extensionφ:Q→Aut NdρLabelID
(C2×C4)⋊1Dic6 = (C2×C4)⋊Dic6φ: Dic6/C6 → C22 ⊆ Aut C2×C4192(C2xC4):1Dic6192,215
(C2×C4)⋊2Dic6 = (C2×Dic3)⋊Q8φ: Dic6/C6 → C22 ⊆ Aut C2×C4192(C2xC4):2Dic6192,538
(C2×C4)⋊3Dic6 = C6.72+ 1+4φ: Dic6/C6 → C22 ⊆ Aut C2×C496(C2xC4):3Dic6192,1059
(C2×C4)⋊4Dic6 = C42.90D6φ: Dic6/C6 → C22 ⊆ Aut C2×C496(C2xC4):4Dic6192,1078
(C2×C4)⋊5Dic6 = (C2×C12)⋊Q8φ: Dic6/Dic3 → C2 ⊆ Aut C2×C4192(C2xC4):5Dic6192,205
(C2×C4)⋊6Dic6 = C2×C12⋊Q8φ: Dic6/Dic3 → C2 ⊆ Aut C2×C4192(C2xC4):6Dic6192,1056
(C2×C4)⋊7Dic6 = C42.88D6φ: Dic6/Dic3 → C2 ⊆ Aut C2×C496(C2xC4):7Dic6192,1076
(C2×C4)⋊8Dic6 = (C2×Dic6)⋊7C4φ: Dic6/C12 → C2 ⊆ Aut C2×C4192(C2xC4):8Dic6192,488
(C2×C4)⋊9Dic6 = C2×C12⋊2Q8φ: Dic6/C12 → C2 ⊆ Aut C2×C4192(C2xC4):9Dic6192,1027
(C2×C4)⋊10Dic6 = C42.274D6φ: Dic6/C12 → C2 ⊆ Aut C2×C496(C2xC4):10Dic6192,1029

Non-split extensions G=N.Q with N=C2×C4 and Q=Dic6
extensionφ:Q→Aut NdρLabelID
(C2×C4).1Dic6 = C12.(C4⋊C4)φ: Dic6/C6 → C22 ⊆ Aut C2×C496(C2xC4).1Dic6192,89
(C2×C4).2Dic6 = C42⋊3Dic3φ: Dic6/C6 → C22 ⊆ Aut C2×C4484(C2xC4).2Dic6192,90
(C2×C4).3Dic6 = (C2×C12).Q8φ: Dic6/C6 → C22 ⊆ Aut C2×C4484(C2xC4).3Dic6192,92
(C2×C4).4Dic6 = M4(2)⋊Dic3φ: Dic6/C6 → C22 ⊆ Aut C2×C496(C2xC4).4Dic6192,113
(C2×C4).5Dic6 = (C2×C24)⋊C4φ: Dic6/C6 → C22 ⊆ Aut C2×C4484(C2xC4).5Dic6192,115
(C2×C4).6Dic6 = C12.20C42φ: Dic6/C6 → C22 ⊆ Aut C2×C4484(C2xC4).6Dic6192,116
(C2×C4).7Dic6 = M4(2)⋊4Dic3φ: Dic6/C6 → C22 ⊆ Aut C2×C4484(C2xC4).7Dic6192,118
(C2×C4).8Dic6 = C6.(C4⋊Q8)φ: Dic6/C6 → C22 ⊆ Aut C2×C4192(C2xC4).8Dic6192,216
(C2×C4).9Dic6 = (C2×C4).Dic6φ: Dic6/C6 → C22 ⊆ Aut C2×C4192(C2xC4).9Dic6192,219
(C2×C4).10Dic6 = (C22×C4).85D6φ: Dic6/C6 → C22 ⊆ Aut C2×C4192(C2xC4).10Dic6192,220
(C2×C4).11Dic6 = C4⋊C4.225D6φ: Dic6/C6 → C22 ⊆ Aut C2×C496(C2xC4).11Dic6192,523
(C2×C4).12Dic6 = (C2×C12).54D4φ: Dic6/C6 → C22 ⊆ Aut C2×C4192(C2xC4).12Dic6192,541
(C2×C4).13Dic6 = (C2×C12).55D4φ: Dic6/C6 → C22 ⊆ Aut C2×C4192(C2xC4).13Dic6192,545
(C2×C4).14Dic6 = C4⋊C4.232D6φ: Dic6/C6 → C22 ⊆ Aut C2×C496(C2xC4).14Dic6192,554
(C2×C4).15Dic6 = C23.52D12φ: Dic6/C6 → C22 ⊆ Aut C2×C496(C2xC4).15Dic6192,680
(C2×C4).16Dic6 = C23.8Dic6φ: Dic6/C6 → C22 ⊆ Aut C2×C4484(C2xC4).16Dic6192,683
(C2×C4).17Dic6 = C23.9Dic6φ: Dic6/C6 → C22 ⊆ Aut C2×C4484(C2xC4).17Dic6192,684
(C2×C4).18Dic6 = C12.53D8φ: Dic6/Dic3 → C2 ⊆ Aut C2×C4192(C2xC4).18Dic6192,38
(C2×C4).19Dic6 = C12.39SD16φ: Dic6/Dic3 → C2 ⊆ Aut C2×C4192(C2xC4).19Dic6192,39
(C2×C4).20Dic6 = C6.(C4×Q8)φ: Dic6/Dic3 → C2 ⊆ Aut C2×C4192(C2xC4).20Dic6192,206
(C2×C4).21Dic6 = C2.(C4×Dic6)φ: Dic6/Dic3 → C2 ⊆ Aut C2×C4192(C2xC4).21Dic6192,213
(C2×C4).22Dic6 = Dic3⋊C4⋊C4φ: Dic6/Dic3 → C2 ⊆ Aut C2×C4192(C2xC4).22Dic6192,214
(C2×C4).23Dic6 = C12.C42φ: Dic6/Dic3 → C2 ⊆ Aut C2×C4192(C2xC4).23Dic6192,88
(C2×C4).24Dic6 = C12.2C42φ: Dic6/Dic3 → C2 ⊆ Aut C2×C448(C2xC4).24Dic6192,91
(C2×C4).25Dic6 = C12.3C42φ: Dic6/Dic3 → C2 ⊆ Aut C2×C448(C2xC4).25Dic6192,114
(C2×C4).26Dic6 = C2×C6.Q16φ: Dic6/Dic3 → C2 ⊆ Aut C2×C4192(C2xC4).26Dic6192,521
(C2×C4).27Dic6 = C2×C12.Q8φ: Dic6/Dic3 → C2 ⊆ Aut C2×C4192(C2xC4).27Dic6192,522
(C2×C4).28Dic6 = C12⋊(C4⋊C4)φ: Dic6/Dic3 → C2 ⊆ Aut C2×C4192(C2xC4).28Dic6192,531
(C2×C4).29Dic6 = (C4×Dic3)⋊8C4φ: Dic6/Dic3 → C2 ⊆ Aut C2×C4192(C2xC4).29Dic6192,534
(C2×C4).30Dic6 = (C4×Dic3)⋊9C4φ: Dic6/Dic3 → C2 ⊆ Aut C2×C4192(C2xC4).30Dic6192,536
(C2×C4).31Dic6 = C4⋊C4⋊6Dic3φ: Dic6/Dic3 → C2 ⊆ Aut C2×C4192(C2xC4).31Dic6192,543
(C2×C4).32Dic6 = C4⋊C4.234D6φ: Dic6/Dic3 → C2 ⊆ Aut C2×C496(C2xC4).32Dic6192,557
(C2×C4).33Dic6 = C42.43D6φ: Dic6/Dic3 → C2 ⊆ Aut C2×C496(C2xC4).33Dic6192,558
(C2×C4).34Dic6 = Dic3⋊4M4(2)φ: Dic6/Dic3 → C2 ⊆ Aut C2×C496(C2xC4).34Dic6192,677
(C2×C4).35Dic6 = C12.88(C2×Q8)φ: Dic6/Dic3 → C2 ⊆ Aut C2×C496(C2xC4).35Dic6192,678
(C2×C4).36Dic6 = C2×C12.53D4φ: Dic6/Dic3 → C2 ⊆ Aut C2×C496(C2xC4).36Dic6192,682
(C2×C4).37Dic6 = C2×C4.Dic6φ: Dic6/Dic3 → C2 ⊆ Aut C2×C4192(C2xC4).37Dic6192,1058
(C2×C4).38Dic6 = C24⋊2C8φ: Dic6/C12 → C2 ⊆ Aut C2×C4192(C2xC4).38Dic6192,16
(C2×C4).39Dic6 = C24⋊1C8φ: Dic6/C12 → C2 ⊆ Aut C2×C4192(C2xC4).39Dic6192,17
(C2×C4).40Dic6 = C12⋊4(C4⋊C4)φ: Dic6/C12 → C2 ⊆ Aut C2×C4192(C2xC4).40Dic6192,487
(C2×C4).41Dic6 = (C2×C42).6S3φ: Dic6/C12 → C2 ⊆ Aut C2×C4192(C2xC4).41Dic6192,492
(C2×C4).42Dic6 = C12.8C42φ: Dic6/C12 → C2 ⊆ Aut C2×C448(C2xC4).42Dic6192,82
(C2×C4).43Dic6 = C12.9C42φ: Dic6/C12 → C2 ⊆ Aut C2×C4192(C2xC4).43Dic6192,110
(C2×C4).44Dic6 = C12⋊7M4(2)φ: Dic6/C12 → C2 ⊆ Aut C2×C496(C2xC4).44Dic6192,483
(C2×C4).45Dic6 = C42⋊10Dic3φ: Dic6/C12 → C2 ⊆ Aut C2×C4192(C2xC4).45Dic6192,494
(C2×C4).46Dic6 = C42⋊11Dic3φ: Dic6/C12 → C2 ⊆ Aut C2×C4192(C2xC4).46Dic6192,495
(C2×C4).47Dic6 = Dic3⋊C8⋊C2φ: Dic6/C12 → C2 ⊆ Aut C2×C496(C2xC4).47Dic6192,661
(C2×C4).48Dic6 = C2×C8⋊Dic3φ: Dic6/C12 → C2 ⊆ Aut C2×C4192(C2xC4).48Dic6192,663
(C2×C4).49Dic6 = C2×C24⋊1C4φ: Dic6/C12 → C2 ⊆ Aut C2×C4192(C2xC4).49Dic6192,664
(C2×C4).50Dic6 = C23.27D12φ: Dic6/C12 → C2 ⊆ Aut C2×C496(C2xC4).50Dic6192,665
(C2×C4).51Dic6 = C2×C24.C4φ: Dic6/C12 → C2 ⊆ Aut C2×C496(C2xC4).51Dic6192,666
(C2×C4).52Dic6 = C2×C12.6Q8φ: Dic6/C12 → C2 ⊆ Aut C2×C4192(C2xC4).52Dic6192,1028
(C2×C4).53Dic6 = (C2×C12)⋊3C8central extension (φ=1)192(C2xC4).53Dic6192,83
(C2×C4).54Dic6 = (C2×C24)⋊5C4central extension (φ=1)192(C2xC4).54Dic6192,109
(C2×C4).55Dic6 = C2×C12⋊C8central extension (φ=1)192(C2xC4).55Dic6192,482
(C2×C4).56Dic6 = C4×Dic3⋊C4central extension (φ=1)192(C2xC4).56Dic6192,490
(C2×C4).57Dic6 = C4×C4⋊Dic3central extension (φ=1)192(C2xC4).57Dic6192,493
(C2×C4).58Dic6 = C2×Dic3⋊C8central extension (φ=1)192(C2xC4).58Dic6192,658

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