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Extensions 1→N→G→Q→1 with N=D4:S3 and Q=C2

Direct product G=NxQ with N=D4:S3 and Q=C2
dρLabelID
C2xD4:S348C2xD4:S396,138

Semidirect products G=N:Q with N=D4:S3 and Q=C2
extensionφ:Q→Out NdρLabelID
D4:S3:1C2 = S3xD8φ: C2/C1 → C2 ⊆ Out D4:S3244+D4:S3:1C296,117
D4:S3:2C2 = D8:S3φ: C2/C1 → C2 ⊆ Out D4:S3244D4:S3:2C296,118
D4:S3:3C2 = Q8:3D6φ: C2/C1 → C2 ⊆ Out D4:S3244+D4:S3:3C296,121
D4:S3:4C2 = Q8.7D6φ: C2/C1 → C2 ⊆ Out D4:S3484D4:S3:4C296,123
D4:S3:5C2 = D12:6C22φ: C2/C1 → C2 ⊆ Out D4:S3244D4:S3:5C296,139
D4:S3:6C2 = D4:D6φ: C2/C1 → C2 ⊆ Out D4:S3244+D4:S3:6C296,156
D4:S3:7C2 = Q8.13D6φ: trivial image484D4:S3:7C296,157


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