Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂×C₄×C₈

Direct product G=N×Q with N=C₇ and Q=C₂×C₄×C₈

		d	ρ	Label	ID
C₂×C₄×C₅₆		448		C2xC4xC56	448,810

Semidirect products G=N:Q with N=C₇ and Q=C₂×C₄×C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂×C₄×C₈) = D₇×C₄×C₈	φ: C₂×C₄×C₈/C₄×C₈ → C₂ ⊆ Aut C₇	224		C7:1(C2xC4xC8)	448,218
C₇⋊₂(C₂×C₄×C₈) = C₂×C₄×C₇⋊C₈	φ: C₂×C₄×C₈/C₂×C₄² → C₂ ⊆ Aut C₇	448		C7:2(C2xC4xC8)	448,454
C₇⋊₃(C₂×C₄×C₈) = C₂×C₈×Dic₇	φ: C₂×C₄×C₈/C₂²×C₈ → C₂ ⊆ Aut C₇	448		C7:3(C2xC4xC8)	448,632

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