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Extensions 1→N→G→Q→1 with N=C4⋊1D4 and Q=S3

Direct product G=N×Q with N=C4⋊1D4 and Q=S3
dρLabelID
S3×C4⋊1D448S3xC4:1D4192,1273

Semidirect products G=N:Q with N=C4⋊1D4 and Q=S3
extensionφ:Q→Out NdρLabelID
C4⋊1D4⋊S3 = C42⋊D6φ: S3/C1 → S3 ⊆ Out C4⋊1D4126+C4:1D4:S3192,956
C4⋊1D4⋊2S3 = C12⋊2D8φ: S3/C3 → C2 ⊆ Out C4⋊1D496C4:1D4:2S3192,631
C4⋊1D4⋊3S3 = C12⋊D8φ: S3/C3 → C2 ⊆ Out C4⋊1D496C4:1D4:3S3192,632
C4⋊1D4⋊4S3 = C42.74D6φ: S3/C3 → C2 ⊆ Out C4⋊1D496C4:1D4:4S3192,633
C4⋊1D4⋊5S3 = C42⋊8D6φ: S3/C3 → C2 ⊆ Out C4⋊1D4244C4:1D4:5S3192,636
C4⋊1D4⋊6S3 = C42⋊28D6φ: S3/C3 → C2 ⊆ Out C4⋊1D448C4:1D4:6S3192,1274
C4⋊1D4⋊7S3 = D12⋊11D4φ: S3/C3 → C2 ⊆ Out C4⋊1D448C4:1D4:7S3192,1276
C4⋊1D4⋊8S3 = Dic6⋊11D4φ: S3/C3 → C2 ⊆ Out C4⋊1D496C4:1D4:8S3192,1277
C4⋊1D4⋊9S3 = C42.168D6φ: S3/C3 → C2 ⊆ Out C4⋊1D496C4:1D4:9S3192,1278
C4⋊1D4⋊10S3 = C42⋊30D6φ: S3/C3 → C2 ⊆ Out C4⋊1D448C4:1D4:10S3192,1279
C4⋊1D4⋊11S3 = C42.238D6φ: trivial image96C4:1D4:11S3192,1275

Non-split extensions G=N.Q with N=C4⋊1D4 and Q=S3
extensionφ:Q→Out NdρLabelID
C4⋊1D4.S3 = C42⋊Dic3φ: S3/C1 → S3 ⊆ Out C4⋊1D41612+C4:1D4.S3192,185
C4⋊1D4.2S3 = C12.9D8φ: S3/C3 → C2 ⊆ Out C4⋊1D496C4:1D4.2S3192,103
C4⋊1D4.3S3 = C42⋊5Dic3φ: S3/C3 → C2 ⊆ Out C4⋊1D4244C4:1D4.3S3192,104
C4⋊1D4.4S3 = C12.16D8φ: S3/C3 → C2 ⊆ Out C4⋊1D496C4:1D4.4S3192,629
C4⋊1D4.5S3 = C42.72D6φ: S3/C3 → C2 ⊆ Out C4⋊1D496C4:1D4.5S3192,630
C4⋊1D4.6S3 = Dic6⋊9D4φ: S3/C3 → C2 ⊆ Out C4⋊1D496C4:1D4.6S3192,634
C4⋊1D4.7S3 = C12⋊4SD16φ: S3/C3 → C2 ⊆ Out C4⋊1D496C4:1D4.7S3192,635
C4⋊1D4.8S3 = C42.166D6φ: S3/C3 → C2 ⊆ Out C4⋊1D496C4:1D4.8S3192,1272

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