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

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

		d	ρ	Label	ID
C₇×C₈⋊S₃		168	2	C7xC8:S3	336,75

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₈⋊S₃) = D₄₂.C₄	φ: C₈⋊S₃/C₃⋊C₈ → C₂ ⊆ Aut C₇	168	4	C7:1(C8:S3)	336,28
C₇⋊₂(C₈⋊S₃) = C₅₆⋊S₃	φ: C₈⋊S₃/C₂₄ → C₂ ⊆ Aut C₇	168	2	C7:2(C8:S3)	336,91
C₇⋊₃(C₈⋊S₃) = D₆.Dic₇	φ: C₈⋊S₃/C₄×S₃ → C₂ ⊆ Aut C₇	168	4	C7:3(C8:S3)	336,27

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