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Extensions 1→N→G→Q→1 with N=C40⋊C2 and Q=S3

Direct product G=N×Q with N=C40⋊C2 and Q=S3
dρLabelID
S3×C40⋊C21204S3xC40:C2480,327

Semidirect products G=N:Q with N=C40⋊C2 and Q=S3
extensionφ:Q→Out NdρLabelID
C40⋊C2⋊1S3 = C40⋊1D6φ: S3/C3 → C2 ⊆ Out C40⋊C21204+C40:C2:1S3480,329
C40⋊C2⋊2S3 = C40.2D6φ: S3/C3 → C2 ⊆ Out C40⋊C22404-C40:C2:2S3480,350
C40⋊C2⋊3S3 = D24⋊6D5φ: S3/C3 → C2 ⊆ Out C40⋊C21204C40:C2:3S3480,333
C40⋊C2⋊4S3 = D30.3D4φ: S3/C3 → C2 ⊆ Out C40⋊C22404C40:C2:4S3480,354
C40⋊C2⋊5S3 = C40⋊14D6φ: S3/C3 → C2 ⊆ Out C40⋊C21204C40:C2:5S3480,331
C40⋊C2⋊6S3 = Dic6.D10φ: S3/C3 → C2 ⊆ Out C40⋊C22404C40:C2:6S3480,352
C40⋊C2⋊7S3 = D6.1D20φ: trivial image2404C40:C2:7S3480,348


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