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Extensions 1→N→G→Q→1 with N=C3×C4≀C2 and Q=C2

Direct product G=N×Q with N=C3×C4≀C2 and Q=C2
dρLabelID
C6×C4≀C248C6xC4wrC2192,853

Semidirect products G=N:Q with N=C3×C4≀C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C4≀C2)⋊1C2 = Q8⋊5D12φ: C2/C1 → C2 ⊆ Out C3×C4≀C2244+(C3xC4wrC2):1C2192,381
(C3×C4≀C2)⋊2C2 = C42⋊5D6φ: C2/C1 → C2 ⊆ Out C3×C4≀C2484(C3xC4wrC2):2C2192,384
(C3×C4≀C2)⋊3C2 = Q8.14D12φ: C2/C1 → C2 ⊆ Out C3×C4≀C2484-(C3xC4wrC2):3C2192,385
(C3×C4≀C2)⋊4C2 = D4.10D12φ: C2/C1 → C2 ⊆ Out C3×C4≀C2484(C3xC4wrC2):4C2192,386
(C3×C4≀C2)⋊5C2 = C3×D4⋊4D4φ: C2/C1 → C2 ⊆ Out C3×C4≀C2244(C3xC4wrC2):5C2192,886
(C3×C4≀C2)⋊6C2 = C3×D4.8D4φ: C2/C1 → C2 ⊆ Out C3×C4≀C2484(C3xC4wrC2):6C2192,887
(C3×C4≀C2)⋊7C2 = C3×D4.9D4φ: C2/C1 → C2 ⊆ Out C3×C4≀C2484(C3xC4wrC2):7C2192,888
(C3×C4≀C2)⋊8C2 = C3×D4.10D4φ: C2/C1 → C2 ⊆ Out C3×C4≀C2484(C3xC4wrC2):8C2192,889
(C3×C4≀C2)⋊9C2 = S3×C4≀C2φ: C2/C1 → C2 ⊆ Out C3×C4≀C2244(C3xC4wrC2):9C2192,379
(C3×C4≀C2)⋊10C2 = C42⋊3D6φ: C2/C1 → C2 ⊆ Out C3×C4≀C2484(C3xC4wrC2):10C2192,380
(C3×C4≀C2)⋊11C2 = M4(2).22D6φ: C2/C1 → C2 ⊆ Out C3×C4≀C2484(C3xC4wrC2):11C2192,382
(C3×C4≀C2)⋊12C2 = C42.196D6φ: C2/C1 → C2 ⊆ Out C3×C4≀C2484(C3xC4wrC2):12C2192,383
(C3×C4≀C2)⋊13C2 = C3×C42⋊C22φ: C2/C1 → C2 ⊆ Out C3×C4≀C2484(C3xC4wrC2):13C2192,854
(C3×C4≀C2)⋊14C2 = C3×C8.26D4φ: C2/C1 → C2 ⊆ Out C3×C4≀C2484(C3xC4wrC2):14C2192,877
(C3×C4≀C2)⋊15C2 = C3×C8○D8φ: trivial image482(C3xC4wrC2):15C2192,876


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