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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
C2×S3×D848C2xS3xD8192,1313

Semidirect products G=N:Q with N=C2×D8 and Q=S3
extensionφ:Q→Out NdρLabelID
(C2×D8)⋊1S3 = C2×C3⋊D16φ: S3/C3 → C2 ⊆ Out C2×D896(C2xD8):1S3192,705
(C2×D8)⋊2S3 = Dic3⋊D8φ: S3/C3 → C2 ⊆ Out C2×D896(C2xD8):2S3192,709
(C2×D8)⋊3S3 = C24⋊5D4φ: S3/C3 → C2 ⊆ Out C2×D896(C2xD8):3S3192,710
(C2×D8)⋊4S3 = D12⋊D4φ: S3/C3 → C2 ⊆ Out C2×D848(C2xD8):4S3192,715
(C2×D8)⋊5S3 = D6⋊3D8φ: S3/C3 → C2 ⊆ Out C2×D896(C2xD8):5S3192,716
(C2×D8)⋊6S3 = Dic6⋊D4φ: S3/C3 → C2 ⊆ Out C2×D896(C2xD8):6S3192,717
(C2×D8)⋊7S3 = D8.D6φ: S3/C3 → C2 ⊆ Out C2×D8484(C2xD8):7S3192,706
(C2×D8)⋊8S3 = C24⋊11D4φ: S3/C3 → C2 ⊆ Out C2×D896(C2xD8):8S3192,713
(C2×D8)⋊9S3 = C24⋊12D4φ: S3/C3 → C2 ⊆ Out C2×D896(C2xD8):9S3192,718
(C2×D8)⋊10S3 = C24.23D4φ: S3/C3 → C2 ⊆ Out C2×D8484(C2xD8):10S3192,719
(C2×D8)⋊11S3 = C2×D8⋊S3φ: S3/C3 → C2 ⊆ Out C2×D848(C2xD8):11S3192,1314
(C2×D8)⋊12S3 = D8⋊13D6φ: S3/C3 → C2 ⊆ Out C2×D8484(C2xD8):12S3192,1316
(C2×D8)⋊13S3 = C2×D8⋊3S3φ: trivial image96(C2xD8):13S3192,1315

Non-split extensions G=N.Q with N=C2×D8 and Q=S3
extensionφ:Q→Out NdρLabelID
(C2×D8).1S3 = D8⋊1Dic3φ: S3/C3 → C2 ⊆ Out C2×D896(C2xD8).1S3192,121
(C2×D8).2S3 = C2×D8.S3φ: S3/C3 → C2 ⊆ Out C2×D896(C2xD8).2S3192,707
(C2×D8).3S3 = (C6×D8).C2φ: S3/C3 → C2 ⊆ Out C2×D896(C2xD8).3S3192,712
(C2×D8).4S3 = C24.22D4φ: S3/C3 → C2 ⊆ Out C2×D896(C2xD8).4S3192,714
(C2×D8).5S3 = D8.Dic3φ: S3/C3 → C2 ⊆ Out C2×D8484(C2xD8).5S3192,122
(C2×D8).6S3 = D8⋊Dic3φ: S3/C3 → C2 ⊆ Out C2×D896(C2xD8).6S3192,711
(C2×D8).7S3 = Dic3×D8φ: trivial image96(C2xD8).7S3192,708

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