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Extensions 1→N→G→Q→1 with N=D6⋊C4 and Q=C6

Direct product G=N×Q with N=D6⋊C4 and Q=C6
dρLabelID
C6×D6⋊C496C6xD6:C4288,698

Semidirect products G=N:Q with N=D6⋊C4 and Q=C6
extensionφ:Q→Out NdρLabelID
D6⋊C4⋊1C6 = C3×C42⋊7S3φ: C6/C3 → C2 ⊆ Out D6⋊C496D6:C4:1C6288,646
D6⋊C4⋊2C6 = C3×C23.28D6φ: C6/C3 → C2 ⊆ Out D6⋊C448D6:C4:2C6288,700
D6⋊C4⋊3C6 = C3×C12⋊7D4φ: C6/C3 → C2 ⊆ Out D6⋊C448D6:C4:3C6288,701
D6⋊C4⋊4C6 = C3×D6⋊D4φ: C6/C3 → C2 ⊆ Out D6⋊C448D6:C4:4C6288,653
D6⋊C4⋊5C6 = C3×C23.9D6φ: C6/C3 → C2 ⊆ Out D6⋊C448D6:C4:5C6288,654
D6⋊C4⋊6C6 = C3×C23.21D6φ: C6/C3 → C2 ⊆ Out D6⋊C448D6:C4:6C6288,657
D6⋊C4⋊7C6 = C3×C12⋊D4φ: C6/C3 → C2 ⊆ Out D6⋊C496D6:C4:7C6288,666
D6⋊C4⋊8C6 = C3×S3×C22⋊C4φ: C6/C3 → C2 ⊆ Out D6⋊C448D6:C4:8C6288,651
D6⋊C4⋊9C6 = C3×Dic3⋊4D4φ: C6/C3 → C2 ⊆ Out D6⋊C448D6:C4:9C6288,652
D6⋊C4⋊10C6 = C3×Dic3⋊D4φ: C6/C3 → C2 ⊆ Out D6⋊C448D6:C4:10C6288,655
D6⋊C4⋊11C6 = C3×C23.11D6φ: C6/C3 → C2 ⊆ Out D6⋊C448D6:C4:11C6288,656
D6⋊C4⋊12C6 = C3×Dic3⋊5D4φ: C6/C3 → C2 ⊆ Out D6⋊C496D6:C4:12C6288,664
D6⋊C4⋊13C6 = C3×D6.D4φ: C6/C3 → C2 ⊆ Out D6⋊C496D6:C4:13C6288,665
D6⋊C4⋊14C6 = C3×C23⋊2D6φ: C6/C3 → C2 ⊆ Out D6⋊C448D6:C4:14C6288,708
D6⋊C4⋊15C6 = C3×C23.14D6φ: C6/C3 → C2 ⊆ Out D6⋊C448D6:C4:15C6288,710
D6⋊C4⋊16C6 = C3×C12.23D4φ: C6/C3 → C2 ⊆ Out D6⋊C496D6:C4:16C6288,718
D6⋊C4⋊17C6 = C12×D12φ: trivial image96D6:C4:17C6288,644
D6⋊C4⋊18C6 = C12×C3⋊D4φ: trivial image48D6:C4:18C6288,699

Non-split extensions G=N.Q with N=D6⋊C4 and Q=C6
extensionφ:Q→Out NdρLabelID
D6⋊C4.1C6 = C3×C42⋊3S3φ: C6/C3 → C2 ⊆ Out D6⋊C496D6:C4.1C6288,647
D6⋊C4.2C6 = C3×D6⋊Q8φ: C6/C3 → C2 ⊆ Out D6⋊C496D6:C4.2C6288,667
D6⋊C4.3C6 = C3×C4.D12φ: C6/C3 → C2 ⊆ Out D6⋊C496D6:C4.3C6288,668
D6⋊C4.4C6 = C3×C4⋊C4⋊7S3φ: C6/C3 → C2 ⊆ Out D6⋊C496D6:C4.4C6288,663
D6⋊C4.5C6 = C3×C4⋊C4⋊S3φ: C6/C3 → C2 ⊆ Out D6⋊C496D6:C4.5C6288,669
D6⋊C4.6C6 = C3×D6⋊3Q8φ: C6/C3 → C2 ⊆ Out D6⋊C496D6:C4.6C6288,717
D6⋊C4.7C6 = C3×C42⋊2S3φ: trivial image96D6:C4.7C6288,643

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