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Extensions 1→N→G→Q→1 with N=C3×Q8⋊3S3 and Q=C2

Direct product G=N×Q with N=C3×Q8⋊3S3 and Q=C2
dρLabelID
C6×Q8⋊3S396C6xQ8:3S3288,996

Semidirect products G=N:Q with N=C3×Q8⋊3S3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×Q8⋊3S3)⋊1C2 = D12⋊6D6φ: C2/C1 → C2 ⊆ Out C3×Q8⋊3S3488+(C3xQ8:3S3):1C2288,587
(C3×Q8⋊3S3)⋊2C2 = D12.12D6φ: C2/C1 → C2 ⊆ Out C3×Q8⋊3S3968-(C3xQ8:3S3):2C2288,595
(C3×Q8⋊3S3)⋊3C2 = D12.13D6φ: C2/C1 → C2 ⊆ Out C3×Q8⋊3S3488+(C3xQ8:3S3):3C2288,597
(C3×Q8⋊3S3)⋊4C2 = C3×Q8⋊3D6φ: C2/C1 → C2 ⊆ Out C3×Q8⋊3S3484(C3xQ8:3S3):4C2288,685
(C3×Q8⋊3S3)⋊5C2 = C3×Q8.7D6φ: C2/C1 → C2 ⊆ Out C3×Q8⋊3S3484(C3xQ8:3S3):5C2288,687
(C3×Q8⋊3S3)⋊6C2 = C3×D24⋊C2φ: C2/C1 → C2 ⊆ Out C3×Q8⋊3S3964(C3xQ8:3S3):6C2288,690
(C3×Q8⋊3S3)⋊7C2 = D12.25D6φ: C2/C1 → C2 ⊆ Out C3×Q8⋊3S3488-(C3xQ8:3S3):7C2288,963
(C3×Q8⋊3S3)⋊8C2 = S3×Q8⋊3S3φ: C2/C1 → C2 ⊆ Out C3×Q8⋊3S3488+(C3xQ8:3S3):8C2288,966
(C3×Q8⋊3S3)⋊9C2 = D12⋊15D6φ: C2/C1 → C2 ⊆ Out C3×Q8⋊3S3488-(C3xQ8:3S3):9C2288,967
(C3×Q8⋊3S3)⋊10C2 = D12⋊16D6φ: C2/C1 → C2 ⊆ Out C3×Q8⋊3S3488+(C3xQ8:3S3):10C2288,968
(C3×Q8⋊3S3)⋊11C2 = C3×Q8.15D6φ: C2/C1 → C2 ⊆ Out C3×Q8⋊3S3484(C3xQ8:3S3):11C2288,997
(C3×Q8⋊3S3)⋊12C2 = C3×D4○D12φ: C2/C1 → C2 ⊆ Out C3×Q8⋊3S3484(C3xQ8:3S3):12C2288,999
(C3×Q8⋊3S3)⋊13C2 = C3×S3×C4○D4φ: trivial image484(C3xQ8:3S3):13C2288,998

Non-split extensions G=N.Q with N=C3×Q8⋊3S3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×Q8⋊3S3).1C2 = D12.11D6φ: C2/C1 → C2 ⊆ Out C3×Q8⋊3S3968-(C3xQ8:3S3).1C2288,591
(C3×Q8⋊3S3).2C2 = C3×Q16⋊S3φ: C2/C1 → C2 ⊆ Out C3×Q8⋊3S3964(C3xQ8:3S3).2C2288,689

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