Extensions 1→N→G→Q→1 with N=C₇ and Q=C₈⋊₄Q₈

Direct product G=N×Q with N=C₇ and Q=C₈⋊₄Q₈

		d	ρ	Label	ID
C₇×C₈⋊₄Q₈		448		C7xC8:4Q8	448,854

Semidirect products G=N:Q with N=C₇ and Q=C₈⋊₄Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₈⋊₄Q₈) = C₅₆⋊₁₁Q₈	φ: C₈⋊₄Q₈/C₄×C₈ → C₂ ⊆ Aut C₇	448		C7:1(C8:4Q8)	448,213
C₇⋊₂(C₈⋊₄Q₈) = C₅₆⋊Q₈	φ: C₈⋊₄Q₈/C₈⋊C₄ → C₂ ⊆ Aut C₇	448		C7:2(C8:4Q8)	448,235
C₇⋊₃(C₈⋊₄Q₈) = C₄².₂₇D₁₄	φ: C₈⋊₄Q₈/C₄⋊C₈ → C₂ ⊆ Aut C₇	448		C7:3(C8:4Q8)	448,362
C₇⋊₄(C₈⋊₄Q₈) = C₂₈.M₄(2)	φ: C₈⋊₄Q₈/C₄⋊C₈ → C₂ ⊆ Aut C₇	448		C7:4(C8:4Q8)	448,365
C₇⋊₅(C₈⋊₄Q₈) = C₄².₂₁₀D₁₄	φ: C₈⋊₄Q₈/C₄×Q₈ → C₂ ⊆ Aut C₇	448		C7:5(C8:4Q8)	448,558

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