Extensions 1→N→G→Q→1 with N=C₇ and Q=S₃×C₈

Direct product G=N×Q with N=C₇ and Q=S₃×C₈

		d	ρ	Label	ID
S₃×C₅₆		168	2	S3xC56	336,74

Semidirect products G=N:Q with N=C₇ and Q=S₃×C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(S₃×C₈) = D₂₁⋊C₈	φ: S₃×C₈/C₃⋊C₈ → C₂ ⊆ Aut C₇	168	4	C7:1(S3xC8)	336,25
C₇⋊₂(S₃×C₈) = C₈×D₂₁	φ: S₃×C₈/C₂₄ → C₂ ⊆ Aut C₇	168	2	C7:2(S3xC8)	336,90
C₇⋊₃(S₃×C₈) = S₃×C₇⋊C₈	φ: S₃×C₈/C₄×S₃ → C₂ ⊆ Aut C₇	168	4	C7:3(S3xC8)	336,24

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