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Extensions 1→N→G→Q→1 with N=D6⋊C4 and Q=S3

Direct product G=N×Q with N=D6⋊C4 and Q=S3
dρLabelID
S3×D6⋊C448S3xD6:C4288,568

Semidirect products G=N:Q with N=D6⋊C4 and Q=S3
extensionφ:Q→Out NdρLabelID
D6⋊C4⋊1S3 = Dic3.D12φ: S3/C3 → C2 ⊆ Out D6⋊C448D6:C4:1S3288,500
D6⋊C4⋊2S3 = C62.75C23φ: S3/C3 → C2 ⊆ Out D6⋊C496D6:C4:2S3288,553
D6⋊C4⋊3S3 = D6⋊D12φ: S3/C3 → C2 ⊆ Out D6⋊C448D6:C4:3S3288,554
D6⋊C4⋊4S3 = D6.9D12φ: S3/C3 → C2 ⊆ Out D6⋊C496D6:C4:4S3288,539
D6⋊C4⋊5S3 = Dic3⋊3D12φ: S3/C3 → C2 ⊆ Out D6⋊C448D6:C4:5S3288,558
D6⋊C4⋊6S3 = C62.83C23φ: S3/C3 → C2 ⊆ Out D6⋊C496D6:C4:6S3288,561
D6⋊C4⋊7S3 = D6⋊5D12φ: S3/C3 → C2 ⊆ Out D6⋊C448D6:C4:7S3288,571
D6⋊C4⋊8S3 = C62.23C23φ: S3/C3 → C2 ⊆ Out D6⋊C448D6:C4:8S3288,501
D6⋊C4⋊9S3 = C62.51C23φ: S3/C3 → C2 ⊆ Out D6⋊C448D6:C4:9S3288,529
D6⋊C4⋊10S3 = C62.72C23φ: S3/C3 → C2 ⊆ Out D6⋊C496D6:C4:10S3288,550
D6⋊C4⋊11S3 = C62.82C23φ: S3/C3 → C2 ⊆ Out D6⋊C448D6:C4:11S3288,560
D6⋊C4⋊12S3 = C62.85C23φ: S3/C3 → C2 ⊆ Out D6⋊C496D6:C4:12S3288,563
D6⋊C4⋊13S3 = C62.91C23φ: S3/C3 → C2 ⊆ Out D6⋊C448D6:C4:13S3288,569
D6⋊C4⋊14S3 = C62.24C23φ: S3/C3 → C2 ⊆ Out D6⋊C448D6:C4:14S3288,502
D6⋊C4⋊15S3 = C62.55C23φ: S3/C3 → C2 ⊆ Out D6⋊C496D6:C4:15S3288,533
D6⋊C4⋊16S3 = D6.D12φ: S3/C3 → C2 ⊆ Out D6⋊C448D6:C4:16S3288,538
D6⋊C4⋊17S3 = C62.77C23φ: S3/C3 → C2 ⊆ Out D6⋊C448D6:C4:17S3288,555
D6⋊C4⋊18S3 = D6⋊4D12φ: S3/C3 → C2 ⊆ Out D6⋊C448D6:C4:18S3288,570
D6⋊C4⋊19S3 = C62.49C23φ: trivial image96D6:C4:19S3288,527
D6⋊C4⋊20S3 = Dic3⋊4D12φ: trivial image48D6:C4:20S3288,528

Non-split extensions G=N.Q with N=D6⋊C4 and Q=S3
extensionφ:Q→Out NdρLabelID
D6⋊C4.1S3 = C62.29C23φ: S3/C3 → C2 ⊆ Out D6⋊C496D6:C4.1S3288,507
D6⋊C4.2S3 = C62.31C23φ: S3/C3 → C2 ⊆ Out D6⋊C496D6:C4.2S3288,509
D6⋊C4.3S3 = D6⋊2Dic6φ: S3/C3 → C2 ⊆ Out D6⋊C496D6:C4.3S3288,541
D6⋊C4.4S3 = D6⋊3Dic6φ: S3/C3 → C2 ⊆ Out D6⋊C496D6:C4.4S3288,544
D6⋊C4.5S3 = C62.32C23φ: S3/C3 → C2 ⊆ Out D6⋊C496D6:C4.5S3288,510
D6⋊C4.6S3 = C62.48C23φ: S3/C3 → C2 ⊆ Out D6⋊C496D6:C4.6S3288,526
D6⋊C4.7S3 = C62.28C23φ: S3/C3 → C2 ⊆ Out D6⋊C496D6:C4.7S3288,506
D6⋊C4.8S3 = D6⋊1Dic6φ: S3/C3 → C2 ⊆ Out D6⋊C496D6:C4.8S3288,535
D6⋊C4.9S3 = D6⋊4Dic6φ: S3/C3 → C2 ⊆ Out D6⋊C496D6:C4.9S3288,547
D6⋊C4.10S3 = C62.47C23φ: trivial image96D6:C4.10S3288,525

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