Extensions 1→N→G→Q→1 with N=C₇ and Q=C₈.₅Q₈

Direct product G=N×Q with N=C₇ and Q=C₈.₅Q₈

		d	ρ	Label	ID
C₇×C₈.₅Q₈		448		C7xC8.5Q8	448,907

Semidirect products G=N:Q with N=C₇ and Q=C₈.₅Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₈.₅Q₈) = C₅₆.₁₃Q₈	φ: C₈.₅Q₈/C₄×C₈ → C₂ ⊆ Aut C₇	448		C7:1(C8.5Q8)	448,217
C₇⋊₂(C₈.₅Q₈) = C₅₆.₈Q₈	φ: C₈.₅Q₈/C₄.Q₈ → C₂ ⊆ Aut C₇	448		C7:2(C8.5Q8)	448,392
C₇⋊₃(C₈.₅Q₈) = C₅₆.₄Q₈	φ: C₈.₅Q₈/C₂.D₈ → C₂ ⊆ Aut C₇	448		C7:3(C8.5Q8)	448,412
C₇⋊₄(C₈.₅Q₈) = C₄².₂₁₅D₁₄	φ: C₈.₅Q₈/C₄².C₂ → C₂ ⊆ Aut C₇	448		C7:4(C8.5Q8)	448,598

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