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Extensions 1→N→G→Q→1 with N=D6⋊C4 and Q=C2

Direct product G=N×Q with N=D6⋊C4 and Q=C2
dρLabelID
C2×D6⋊C448C2xD6:C496,134

Semidirect products G=N:Q with N=D6⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
D6⋊C4⋊1C2 = C42⋊7S3φ: C2/C1 → C2 ⊆ Out D6⋊C448D6:C4:1C296,82
D6⋊C4⋊2C2 = C23.28D6φ: C2/C1 → C2 ⊆ Out D6⋊C448D6:C4:2C296,136
D6⋊C4⋊3C2 = C12⋊7D4φ: C2/C1 → C2 ⊆ Out D6⋊C448D6:C4:3C296,137
D6⋊C4⋊4C2 = D6⋊D4φ: C2/C1 → C2 ⊆ Out D6⋊C424D6:C4:4C296,89
D6⋊C4⋊5C2 = C23.9D6φ: C2/C1 → C2 ⊆ Out D6⋊C448D6:C4:5C296,90
D6⋊C4⋊6C2 = C23.11D6φ: C2/C1 → C2 ⊆ Out D6⋊C448D6:C4:6C296,92
D6⋊C4⋊7C2 = C23.21D6φ: C2/C1 → C2 ⊆ Out D6⋊C448D6:C4:7C296,93
D6⋊C4⋊8C2 = C12⋊D4φ: C2/C1 → C2 ⊆ Out D6⋊C448D6:C4:8C296,102
D6⋊C4⋊9C2 = S3×C22⋊C4φ: C2/C1 → C2 ⊆ Out D6⋊C424D6:C4:9C296,87
D6⋊C4⋊10C2 = Dic3⋊4D4φ: C2/C1 → C2 ⊆ Out D6⋊C448D6:C4:10C296,88
D6⋊C4⋊11C2 = Dic3⋊D4φ: C2/C1 → C2 ⊆ Out D6⋊C448D6:C4:11C296,91
D6⋊C4⋊12C2 = Dic3⋊5D4φ: C2/C1 → C2 ⊆ Out D6⋊C448D6:C4:12C296,100
D6⋊C4⋊13C2 = D6.D4φ: C2/C1 → C2 ⊆ Out D6⋊C448D6:C4:13C296,101
D6⋊C4⋊14C2 = C23⋊2D6φ: C2/C1 → C2 ⊆ Out D6⋊C424D6:C4:14C296,144
D6⋊C4⋊15C2 = C23.14D6φ: C2/C1 → C2 ⊆ Out D6⋊C448D6:C4:15C296,146
D6⋊C4⋊16C2 = C12.23D4φ: C2/C1 → C2 ⊆ Out D6⋊C448D6:C4:16C296,154
D6⋊C4⋊17C2 = C4×D12φ: trivial image48D6:C4:17C296,80
D6⋊C4⋊18C2 = C4×C3⋊D4φ: trivial image48D6:C4:18C296,135

Non-split extensions G=N.Q with N=D6⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
D6⋊C4.1C2 = C42⋊3S3φ: C2/C1 → C2 ⊆ Out D6⋊C448D6:C4.1C296,83
D6⋊C4.2C2 = D6⋊Q8φ: C2/C1 → C2 ⊆ Out D6⋊C448D6:C4.2C296,103
D6⋊C4.3C2 = C4.D12φ: C2/C1 → C2 ⊆ Out D6⋊C448D6:C4.3C296,104
D6⋊C4.4C2 = C4⋊C4⋊7S3φ: C2/C1 → C2 ⊆ Out D6⋊C448D6:C4.4C296,99
D6⋊C4.5C2 = C4⋊C4⋊S3φ: C2/C1 → C2 ⊆ Out D6⋊C448D6:C4.5C296,105
D6⋊C4.6C2 = D6⋊3Q8φ: C2/C1 → C2 ⊆ Out D6⋊C448D6:C4.6C296,153
D6⋊C4.7C2 = C42⋊2S3φ: trivial image48D6:C4.7C296,79

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