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Extensions 1→N→G→Q→1 with N=M4(2)⋊S3 and Q=C2

Direct product G=N×Q with N=M4(2)⋊S3 and Q=C2
dρLabelID
C2×M4(2)⋊S348C2xM4(2):S3192,689

Semidirect products G=N:Q with N=M4(2)⋊S3 and Q=C2
extensionφ:Q→Out NdρLabelID
M4(2)⋊S3⋊1C2 = Q8⋊5D12φ: C2/C1 → C2 ⊆ Out M4(2)⋊S3244+M4(2):S3:1C2192,381
M4(2)⋊S3⋊2C2 = C42⋊5D6φ: C2/C1 → C2 ⊆ Out M4(2)⋊S3484M4(2):S3:2C2192,384
M4(2)⋊S3⋊3C2 = C24.19D4φ: C2/C1 → C2 ⊆ Out M4(2)⋊S3484+M4(2):S3:3C2192,456
M4(2)⋊S3⋊4C2 = C8.24D12φ: C2/C1 → C2 ⊆ Out M4(2)⋊S3484M4(2):S3:4C2192,457
M4(2)⋊S3⋊5C2 = D12⋊18D4φ: C2/C1 → C2 ⊆ Out M4(2)⋊S3248+M4(2):S3:5C2192,757
M4(2)⋊S3⋊6C2 = M4(2).D6φ: C2/C1 → C2 ⊆ Out M4(2)⋊S3488+M4(2):S3:6C2192,758
M4(2)⋊S3⋊7C2 = D12.39D4φ: C2/C1 → C2 ⊆ Out M4(2)⋊S3488+M4(2):S3:7C2192,761
M4(2)⋊S3⋊8C2 = M4(2).15D6φ: C2/C1 → C2 ⊆ Out M4(2)⋊S3488+M4(2):S3:8C2192,762
M4(2)⋊S3⋊9C2 = S3×C4.D4φ: C2/C1 → C2 ⊆ Out M4(2)⋊S3248+M4(2):S3:9C2192,303
M4(2)⋊S3⋊10C2 = D12.3D4φ: C2/C1 → C2 ⊆ Out M4(2)⋊S3488+M4(2):S3:10C2192,308
M4(2)⋊S3⋊11C2 = M4(2).21D6φ: C2/C1 → C2 ⊆ Out M4(2)⋊S3488+M4(2):S3:11C2192,310
M4(2)⋊S3⋊12C2 = D12.6D4φ: C2/C1 → C2 ⊆ Out M4(2)⋊S3488+M4(2):S3:12C2192,313
M4(2)⋊S3⋊13C2 = Q8.8D12φ: C2/C1 → C2 ⊆ Out M4(2)⋊S3484M4(2):S3:13C2192,700
M4(2)⋊S3⋊14C2 = Q8.9D12φ: C2/C1 → C2 ⊆ Out M4(2)⋊S3484+M4(2):S3:14C2192,701
M4(2)⋊S3⋊15C2 = M4(2).31D6φ: trivial image484M4(2):S3:15C2192,691


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