Extensions 1→N→G→Q→1 with N=C₇ and Q=Q₈⋊₃S₃

Direct product G=N×Q with N=C₇ and Q=Q₈⋊₃S₃

		d	ρ	Label	ID
C₇×Q₈⋊₃S₃		168	4	C7xQ8:3S3	336,191

Semidirect products G=N:Q with N=C₇ and Q=Q₈⋊₃S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(Q₈⋊₃S₃) = D₈₄⋊C₂	φ: Q₈⋊₃S₃/C₄×S₃ → C₂ ⊆ Aut C₇	168	4+	C7:1(Q8:3S3)	336,142
C₇⋊₂(Q₈⋊₃S₃) = D₁₂⋊D₇	φ: Q₈⋊₃S₃/D₁₂ → C₂ ⊆ Aut C₇	168	4	C7:2(Q8:3S3)	336,141
C₇⋊₃(Q₈⋊₃S₃) = Q₈⋊₃D₂₁	φ: Q₈⋊₃S₃/C₃×Q₈ → C₂ ⊆ Aut C₇	168	4+	C7:3(Q8:3S3)	336,201

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