Extensions 1→N→G→Q→1 with N=C₇ and Q=C₄×Q₈

Direct product G=N×Q with N=C₇ and Q=C₄×Q₈

		d	ρ	Label	ID
Q₈×C₂₈		224		Q8xC28	224,154

Semidirect products G=N:Q with N=C₇ and Q=C₄×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₄×Q₈) = C₄×Dic₁₄	φ: C₄×Q₈/C₄² → C₂ ⊆ Aut C₇	224		C7:1(C4xQ8)	224,63
C₇⋊₂(C₄×Q₈) = Dic₇⋊₃Q₈	φ: C₄×Q₈/C₄⋊C₄ → C₂ ⊆ Aut C₇	224		C7:2(C4xQ8)	224,82
C₇⋊₃(C₄×Q₈) = Q₈×Dic₇	φ: C₄×Q₈/C₂×Q₈ → C₂ ⊆ Aut C₇	224		C7:3(C4xQ8)	224,140

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