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Extensions 1→N→G→Q→1 with N=C6.D4 and Q=S3

Direct product G=N×Q with N=C6.D4 and Q=S3
dρLabelID
S3×C6.D448S3xC6.D4288,616

Semidirect products G=N:Q with N=C6.D4 and Q=S3
extensionφ:Q→Out NdρLabelID
C6.D4⋊1S3 = C62.31D4φ: S3/C3 → C2 ⊆ Out C6.D4244C6.D4:1S3288,228
C6.D4⋊2S3 = C62.32D4φ: S3/C3 → C2 ⊆ Out C6.D4244C6.D4:2S3288,229
C6.D4⋊3S3 = C62.95C23φ: S3/C3 → C2 ⊆ Out C6.D448C6.D4:3S3288,601
C6.D4⋊4S3 = C62.100C23φ: S3/C3 → C2 ⊆ Out C6.D448C6.D4:4S3288,606
C6.D4⋊5S3 = C62.101C23φ: S3/C3 → C2 ⊆ Out C6.D448C6.D4:5S3288,607
C6.D4⋊6S3 = C62.57D4φ: S3/C3 → C2 ⊆ Out C6.D448C6.D4:6S3288,610
C6.D4⋊7S3 = C62.60D4φ: S3/C3 → C2 ⊆ Out C6.D448C6.D4:7S3288,614
C6.D4⋊8S3 = C62.111C23φ: S3/C3 → C2 ⊆ Out C6.D448C6.D4:8S3288,617
C6.D4⋊9S3 = C62.113C23φ: S3/C3 → C2 ⊆ Out C6.D448C6.D4:9S3288,619
C6.D4⋊10S3 = C62.115C23φ: S3/C3 → C2 ⊆ Out C6.D448C6.D4:10S3288,621
C6.D4⋊11S3 = C62.116C23φ: S3/C3 → C2 ⊆ Out C6.D424C6.D4:11S3288,622
C6.D4⋊12S3 = C62.117C23φ: S3/C3 → C2 ⊆ Out C6.D448C6.D4:12S3288,623
C6.D4⋊13S3 = C62⋊5D4φ: S3/C3 → C2 ⊆ Out C6.D448C6.D4:13S3288,625
C6.D4⋊14S3 = C62⋊8D4φ: S3/C3 → C2 ⊆ Out C6.D424C6.D4:14S3288,629
C6.D4⋊15S3 = C62.94C23φ: trivial image48C6.D4:15S3288,600

Non-split extensions G=N.Q with N=C6.D4 and Q=S3
extensionφ:Q→Out NdρLabelID
C6.D4.1S3 = C62.98C23φ: S3/C3 → C2 ⊆ Out C6.D448C6.D4.1S3288,604
C6.D4.2S3 = C62.99C23φ: S3/C3 → C2 ⊆ Out C6.D448C6.D4.2S3288,605
C6.D4.3S3 = C62⋊3Q8φ: S3/C3 → C2 ⊆ Out C6.D448C6.D4.3S3288,612
C6.D4.4S3 = C62⋊4Q8φ: S3/C3 → C2 ⊆ Out C6.D448C6.D4.4S3288,630
C6.D4.5S3 = C62.97C23φ: trivial image48C6.D4.5S3288,603

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