Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂×C₄×Q₈

Direct product G=N×Q with N=C₇ and Q=C₂×C₄×Q₈

		d	ρ	Label	ID
Q₈×C₂×C₂₈		448		Q8xC2xC28	448,1299

Semidirect products G=N:Q with N=C₇ and Q=C₂×C₄×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂×C₄×Q₈) = C₂×C₄×Dic₁₄	φ: C₂×C₄×Q₈/C₂×C₄² → C₂ ⊆ Aut C₇	448		C7:1(C2xC4xQ8)	448,920
C₇⋊₂(C₂×C₄×Q₈) = C₂×Dic₇⋊₃Q₈	φ: C₂×C₄×Q₈/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₇	448		C7:2(C2xC4xQ8)	448,949
C₇⋊₃(C₂×C₄×Q₈) = C₄×Q₈×D₇	φ: C₂×C₄×Q₈/C₄×Q₈ → C₂ ⊆ Aut C₇	224		C7:3(C2xC4xQ8)	448,1024
C₇⋊₄(C₂×C₄×Q₈) = C₂×Q₈×Dic₇	φ: C₂×C₄×Q₈/C₂²×Q₈ → C₂ ⊆ Aut C₇	448		C7:4(C2xC4xQ8)	448,1264

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