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Extensions 1→N→G→Q→1 with N=C3×C4.10D4 and Q=C2

Direct product G=N×Q with N=C3×C4.10D4 and Q=C2
dρLabelID
C6×C4.10D496C6xC4.10D4192,845

Semidirect products G=N:Q with N=C3×C4.10D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C4.10D4)⋊1C2 = D12.6D4φ: C2/C1 → C2 ⊆ Out C3×C4.10D4488+(C3xC4.10D4):1C2192,313
(C3×C4.10D4)⋊2C2 = D12.7D4φ: C2/C1 → C2 ⊆ Out C3×C4.10D4968-(C3xC4.10D4):2C2192,314
(C3×C4.10D4)⋊3C2 = D12.4D4φ: C2/C1 → C2 ⊆ Out C3×C4.10D4488-(C3xC4.10D4):3C2192,311
(C3×C4.10D4)⋊4C2 = D12.5D4φ: C2/C1 → C2 ⊆ Out C3×C4.10D4488+(C3xC4.10D4):4C2192,312
(C3×C4.10D4)⋊5C2 = C3×D4.8D4φ: C2/C1 → C2 ⊆ Out C3×C4.10D4484(C3xC4.10D4):5C2192,887
(C3×C4.10D4)⋊6C2 = C3×D4.10D4φ: C2/C1 → C2 ⊆ Out C3×C4.10D4484(C3xC4.10D4):6C2192,889
(C3×C4.10D4)⋊7C2 = C3×D4.3D4φ: C2/C1 → C2 ⊆ Out C3×C4.10D4484(C3xC4.10D4):7C2192,904
(C3×C4.10D4)⋊8C2 = C3×D4.5D4φ: C2/C1 → C2 ⊆ Out C3×C4.10D4964(C3xC4.10D4):8C2192,906
(C3×C4.10D4)⋊9C2 = S3×C4.10D4φ: C2/C1 → C2 ⊆ Out C3×C4.10D4488-(C3xC4.10D4):9C2192,309
(C3×C4.10D4)⋊10C2 = M4(2).21D6φ: C2/C1 → C2 ⊆ Out C3×C4.10D4488+(C3xC4.10D4):10C2192,310
(C3×C4.10D4)⋊11C2 = (C2×C4).D12φ: C2/C1 → C2 ⊆ Out C3×C4.10D4488+(C3xC4.10D4):11C2192,36
(C3×C4.10D4)⋊12C2 = C3×C42.C4φ: C2/C1 → C2 ⊆ Out C3×C4.10D4484(C3xC4.10D4):12C2192,161
(C3×C4.10D4)⋊13C2 = C3×M4(2).8C22φ: trivial image484(C3xC4.10D4):13C2192,846

Non-split extensions G=N.Q with N=C3×C4.10D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C4.10D4).1C2 = (C2×C12).D4φ: C2/C1 → C2 ⊆ Out C3×C4.10D4488-(C3xC4.10D4).1C2192,37
(C3×C4.10D4).2C2 = C3×C42.3C4φ: C2/C1 → C2 ⊆ Out C3×C4.10D4484(C3xC4.10D4).2C2192,162

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