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Extensions 1→N→G→Q→1 with N=C8⋊C4 and Q=S3

Direct product G=N×Q with N=C8⋊C4 and Q=S3
dρLabelID
S3×C8⋊C496S3xC8:C4192,263

Semidirect products G=N:Q with N=C8⋊C4 and Q=S3
extensionφ:Q→Out NdρLabelID
C8⋊C4⋊1S3 = C42.16D6φ: S3/C3 → C2 ⊆ Out C8⋊C496C8:C4:1S3192,269
C8⋊C4⋊2S3 = D24⋊C4φ: S3/C3 → C2 ⊆ Out C8⋊C496C8:C4:2S3192,270
C8⋊C4⋊3S3 = C8⋊D12φ: S3/C3 → C2 ⊆ Out C8⋊C496C8:C4:3S3192,271
C8⋊C4⋊4S3 = C8.D12φ: S3/C3 → C2 ⊆ Out C8⋊C496C8:C4:4S3192,274
C8⋊C4⋊5S3 = D24⋊4C4φ: S3/C3 → C2 ⊆ Out C8⋊C4484C8:C4:5S3192,276
C8⋊C4⋊6S3 = C42.D6φ: S3/C3 → C2 ⊆ Out C8⋊C496C8:C4:6S3192,23
C8⋊C4⋊7S3 = C42.182D6φ: S3/C3 → C2 ⊆ Out C8⋊C496C8:C4:7S3192,264
C8⋊C4⋊8S3 = C8⋊9D12φ: S3/C3 → C2 ⊆ Out C8⋊C496C8:C4:8S3192,265
C8⋊C4⋊9S3 = C42.185D6φ: S3/C3 → C2 ⊆ Out C8⋊C496C8:C4:9S3192,268
C8⋊C4⋊10S3 = C42.19D6φ: S3/C3 → C2 ⊆ Out C8⋊C496C8:C4:10S3192,272
C8⋊C4⋊11S3 = C42.20D6φ: S3/C3 → C2 ⊆ Out C8⋊C496C8:C4:11S3192,273
C8⋊C4⋊12S3 = Dic3⋊5M4(2)φ: trivial image96C8:C4:12S3192,266
C8⋊C4⋊13S3 = D6.4C42φ: trivial image96C8:C4:13S3192,267

Non-split extensions G=N.Q with N=C8⋊C4 and Q=S3
extensionφ:Q→Out NdρLabelID
C8⋊C4.1S3 = C8⋊Dic6φ: S3/C3 → C2 ⊆ Out C8⋊C4192C8:C4.1S3192,261
C8⋊C4.2S3 = Dic12⋊C4φ: S3/C3 → C2 ⊆ Out C8⋊C4192C8:C4.2S3192,275
C8⋊C4.3S3 = C42.2D6φ: S3/C3 → C2 ⊆ Out C8⋊C4192C8:C4.3S3192,24
C8⋊C4.4S3 = C12.15C42φ: S3/C3 → C2 ⊆ Out C8⋊C4484C8:C4.4S3192,25
C8⋊C4.5S3 = C24⋊Q8φ: S3/C3 → C2 ⊆ Out C8⋊C4192C8:C4.5S3192,260
C8⋊C4.6S3 = C42.14D6φ: S3/C3 → C2 ⊆ Out C8⋊C4192C8:C4.6S3192,262

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