Extensions 1→N→G→Q→1 with N=C₇ and Q=Q₈⋊₂S₃

Direct product G=N×Q with N=C₇ and Q=Q₈⋊₂S₃

		d	ρ	Label	ID
C₇×Q₈⋊₂S₃		168	4	C7xQ8:2S3	336,87

Semidirect products G=N:Q with N=C₇ and Q=Q₈⋊₂S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(Q₈⋊₂S₃) = C₂₁⋊SD₁₆	φ: Q₈⋊₂S₃/C₃⋊C₈ → C₂ ⊆ Aut C₇	168	4+	C7:1(Q8:2S3)	336,35
C₇⋊₂(Q₈⋊₂S₃) = C₄₂.D₄	φ: Q₈⋊₂S₃/D₁₂ → C₂ ⊆ Aut C₇	168	4	C7:2(Q8:2S3)	336,33
C₇⋊₃(Q₈⋊₂S₃) = Q₈⋊₂D₂₁	φ: Q₈⋊₂S₃/C₃×Q₈ → C₂ ⊆ Aut C₇	168	4+	C7:3(Q8:2S3)	336,103

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