Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂³⋊Q₈

Direct product G=N×Q with N=C₇ and Q=C₂³⋊Q₈

		d	ρ	Label	ID
C₇×C₂³⋊Q₈		224		C7xC2^3:Q8	448,801

Semidirect products G=N:Q with N=C₇ and Q=C₂³⋊Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂³⋊Q₈) = (C₂×C₄).₂₀D₂₈	φ: C₂³⋊Q₈/C₂.C₄² → C₂ ⊆ Aut C₇	224		C7:1(C2^3:Q8)	448,207
C₇⋊₂(C₂³⋊Q₈) = C₂³⋊Dic₁₄	φ: C₂³⋊Q₈/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₇	224		C7:2(C2^3:Q8)	448,481
C₇⋊₃(C₂³⋊Q₈) = (C₂²×Q₈)⋊D₇	φ: C₂³⋊Q₈/C₂²×Q₈ → C₂ ⊆ Aut C₇	224		C7:3(C2^3:Q8)	448,765

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