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Extensions 1→N→G→Q→1 with N=C2.D8 and Q=S3

Direct product G=N×Q with N=C2.D8 and Q=S3
dρLabelID
S3×C2.D896S3xC2.D8192,438

Semidirect products G=N:Q with N=C2.D8 and Q=S3
extensionφ:Q→Out NdρLabelID
C2.D8⋊1S3 = C6.D16φ: S3/C3 → C2 ⊆ Out C2.D896C2.D8:1S3192,50
C2.D8⋊2S3 = D6.5D8φ: S3/C3 → C2 ⊆ Out C2.D896C2.D8:2S3192,441
C2.D8⋊3S3 = D6⋊2D8φ: S3/C3 → C2 ⊆ Out C2.D896C2.D8:3S3192,442
C2.D8⋊4S3 = D6.2Q16φ: S3/C3 → C2 ⊆ Out C2.D896C2.D8:4S3192,443
C2.D8⋊5S3 = C2.D8⋊S3φ: S3/C3 → C2 ⊆ Out C2.D896C2.D8:5S3192,444
C2.D8⋊6S3 = D6⋊2Q16φ: S3/C3 → C2 ⊆ Out C2.D896C2.D8:6S3192,446
C2.D8⋊7S3 = C2.D8⋊7S3φ: S3/C3 → C2 ⊆ Out C2.D896C2.D8:7S3192,447
C2.D8⋊8S3 = D12⋊2Q8φ: S3/C3 → C2 ⊆ Out C2.D896C2.D8:8S3192,449
C2.D8⋊9S3 = D12.2Q8φ: S3/C3 → C2 ⊆ Out C2.D896C2.D8:9S3192,450
C2.D8⋊10S3 = C8⋊S3⋊C4φ: S3/C3 → C2 ⊆ Out C2.D896C2.D8:10S3192,440
C2.D8⋊11S3 = C8⋊3D12φ: S3/C3 → C2 ⊆ Out C2.D896C2.D8:11S3192,445
C2.D8⋊12S3 = C24⋊C2⋊C4φ: S3/C3 → C2 ⊆ Out C2.D896C2.D8:12S3192,448
C2.D8⋊13S3 = Dic3⋊5D8φ: trivial image96C2.D8:13S3192,431
C2.D8⋊14S3 = C8.27(C4×S3)φ: trivial image96C2.D8:14S3192,439

Non-split extensions G=N.Q with N=C2.D8 and Q=S3
extensionφ:Q→Out NdρLabelID
C2.D8.1S3 = C6.6D16φ: S3/C3 → C2 ⊆ Out C2.D8192C2.D8.1S3192,48
C2.D8.2S3 = C6.SD32φ: S3/C3 → C2 ⊆ Out C2.D8192C2.D8.2S3192,49
C2.D8.3S3 = C6.Q32φ: S3/C3 → C2 ⊆ Out C2.D8192C2.D8.3S3192,51
C2.D8.4S3 = C24⋊2Q8φ: S3/C3 → C2 ⊆ Out C2.D8192C2.D8.4S3192,433
C2.D8.5S3 = Dic3.Q16φ: S3/C3 → C2 ⊆ Out C2.D8192C2.D8.5S3192,434
C2.D8.6S3 = Dic6.2Q8φ: S3/C3 → C2 ⊆ Out C2.D8192C2.D8.6S3192,436
C2.D8.7S3 = C8.6Dic6φ: S3/C3 → C2 ⊆ Out C2.D8192C2.D8.7S3192,437
C2.D8.8S3 = C24⋊4Q8φ: S3/C3 → C2 ⊆ Out C2.D8192C2.D8.8S3192,435
C2.D8.9S3 = Dic3⋊5Q16φ: trivial image192C2.D8.9S3192,432

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