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Extensions 1→N→G→Q→1 with N=C3×C24⋊C2 and Q=C2

Direct product G=N×Q with N=C3×C24⋊C2 and Q=C2
dρLabelID
C6×C24⋊C296C6xC24:C2288,673

Semidirect products G=N:Q with N=C3×C24⋊C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C24⋊C2)⋊1C2 = C24⋊6D6φ: C2/C1 → C2 ⊆ Out C3×C24⋊C2484(C3xC24:C2):1C2288,446
(C3×C24⋊C2)⋊2C2 = D12.4D6φ: C2/C1 → C2 ⊆ Out C3×C24⋊C2484(C3xC24:C2):2C2288,459
(C3×C24⋊C2)⋊3C2 = C3×C8⋊D6φ: C2/C1 → C2 ⊆ Out C3×C24⋊C2484(C3xC24:C2):3C2288,679
(C3×C24⋊C2)⋊4C2 = C3×C8.D6φ: C2/C1 → C2 ⊆ Out C3×C24⋊C2484(C3xC24:C2):4C2288,680
(C3×C24⋊C2)⋊5C2 = C24⋊1D6φ: C2/C1 → C2 ⊆ Out C3×C24⋊C2484+(C3xC24:C2):5C2288,442
(C3×C24⋊C2)⋊6C2 = C24.3D6φ: C2/C1 → C2 ⊆ Out C3×C24⋊C2964-(C3xC24:C2):6C2288,448
(C3×C24⋊C2)⋊7C2 = C3×D8⋊S3φ: C2/C1 → C2 ⊆ Out C3×C24⋊C2484(C3xC24:C2):7C2288,682
(C3×C24⋊C2)⋊8C2 = C3×Q16⋊S3φ: C2/C1 → C2 ⊆ Out C3×C24⋊C2964(C3xC24:C2):8C2288,689
(C3×C24⋊C2)⋊9C2 = S3×C24⋊C2φ: C2/C1 → C2 ⊆ Out C3×C24⋊C2484(C3xC24:C2):9C2288,440
(C3×C24⋊C2)⋊10C2 = C24⋊9D6φ: C2/C1 → C2 ⊆ Out C3×C24⋊C2484(C3xC24:C2):10C2288,444
(C3×C24⋊C2)⋊11C2 = D6.1D12φ: C2/C1 → C2 ⊆ Out C3×C24⋊C2484(C3xC24:C2):11C2288,454
(C3×C24⋊C2)⋊12C2 = D12.2D6φ: C2/C1 → C2 ⊆ Out C3×C24⋊C2484(C3xC24:C2):12C2288,457
(C3×C24⋊C2)⋊13C2 = C3×S3×SD16φ: C2/C1 → C2 ⊆ Out C3×C24⋊C2484(C3xC24:C2):13C2288,684
(C3×C24⋊C2)⋊14C2 = C3×Q8.7D6φ: C2/C1 → C2 ⊆ Out C3×C24⋊C2484(C3xC24:C2):14C2288,687
(C3×C24⋊C2)⋊15C2 = C3×C4○D24φ: trivial image482(C3xC24:C2):15C2288,675


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