Extensions 1→N→G→Q→1 with N=C₇ and Q=Q₈⋊₃Q₈

Direct product G=N×Q with N=C₇ and Q=Q₈⋊₃Q₈

		d	ρ	Label	ID
C₇×Q₈⋊₃Q₈		448		C7xQ8:3Q8	448,1340

Semidirect products G=N:Q with N=C₇ and Q=Q₈⋊₃Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(Q₈⋊₃Q₈) = Dic₁₄⋊₁₀Q₈	φ: Q₈⋊₃Q₈/C₄×Q₈ → C₂ ⊆ Aut C₇	448		C7:1(Q8:3Q8)	448,1020
C₇⋊₂(Q₈⋊₃Q₈) = Q₈⋊₅Dic₁₄	φ: Q₈⋊₃Q₈/C₄×Q₈ → C₂ ⊆ Aut C₇	448		C7:2(Q8:3Q8)	448,1022
C₇⋊₃(Q₈⋊₃Q₈) = Q₈⋊₆Dic₁₄	φ: Q₈⋊₃Q₈/C₄×Q₈ → C₂ ⊆ Aut C₇	448		C7:3(Q8:3Q8)	448,1023
C₇⋊₄(Q₈⋊₃Q₈) = Dic₁₄⋊₇Q₈	φ: Q₈⋊₃Q₈/C₄².C₂ → C₂ ⊆ Aut C₇	448		C7:4(Q8:3Q8)	448,1138
C₇⋊₅(Q₈⋊₃Q₈) = Dic₁₄⋊₈Q₈	φ: Q₈⋊₃Q₈/C₄⋊Q₈ → C₂ ⊆ Aut C₇	448		C7:5(Q8:3Q8)	448,1174

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