Extensions 1→N→G→Q→1 with N=C7 and Q=S3×C6

Direct product G=N×Q with N=C7 and Q=S3×C6
dρLabelID
S3×C42842S3xC42252,42

Semidirect products G=N:Q with N=C7 and Q=S3×C6
extensionφ:Q→Aut NdρLabelID
C7⋊1(S3×C6) = S3×F7φ: S3×C6/S3 → C6 ⊆ Aut C72112+C7:1(S3xC6)252,26
C7⋊2(S3×C6) = C2×C3⋊F7φ: S3×C6/C6 → C6 ⊆ Aut C7426+C7:2(S3xC6)252,30
C7⋊3(S3×C6) = C2×S3×C7⋊C3φ: S3×C6/D6 → C3 ⊆ Aut C7426C7:3(S3xC6)252,29
C7⋊4(S3×C6) = C3×S3×D7φ: S3×C6/C3×S3 → C2 ⊆ Aut C7424C7:4(S3xC6)252,33
C7⋊5(S3×C6) = C6×D21φ: S3×C6/C3×C6 → C2 ⊆ Aut C7842C7:5(S3xC6)252,43


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