Extensions 1→N→G→Q→1 with N=C7 and Q=C3×S3

Direct product G=N×Q with N=C7 and Q=C3×S3
dρLabelID
S3×C21422S3xC21126,12

Semidirect products G=N:Q with N=C7 and Q=C3×S3
extensionφ:Q→Aut NdρLabelID
C7⋊(C3×S3) = C3⋊F7φ: C3×S3/C3 → C6 ⊆ Aut C7216+C7:(C3xS3)126,9
C7⋊2(C3×S3) = S3×C7⋊C3φ: C3×S3/S3 → C3 ⊆ Aut C7216C7:2(C3xS3)126,8
C7⋊3(C3×S3) = C3×D21φ: C3×S3/C32 → C2 ⊆ Aut C7422C7:3(C3xS3)126,13


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