Extensions 1→N→G→Q→1 with N=C₇ and Q=Q₈○D₈

Direct product G=N×Q with N=C₇ and Q=Q₈○D₈

		d	ρ	Label	ID
C₇×Q₈○D₈		224	4	C7xQ8oD8	448,1361

Semidirect products G=N:Q with N=C₇ and Q=Q₈○D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(Q₈○D₈) = D₄.₁₃D₂₈	φ: Q₈○D₈/C₈○D₄ → C₂ ⊆ Aut C₇	224	4-	C7:1(Q8oD8)	448,1206
C₇⋊₂(Q₈○D₈) = D₂₈.₃₀D₄	φ: Q₈○D₈/C₂×Q₁₆ → C₂ ⊆ Aut C₇	224	4	C7:2(Q8oD8)	448,1219
C₇⋊₃(Q₈○D₈) = D₈.₁₀D₁₄	φ: Q₈○D₈/C₄○D₈ → C₂ ⊆ Aut C₇	224	4-	C7:3(Q8oD8)	448,1224
C₇⋊₄(Q₈○D₈) = D₂₈.₄₄D₄	φ: Q₈○D₈/C₈.C₂² → C₂ ⊆ Aut C₇	224	8-	C7:4(Q8oD8)	448,1232
C₇⋊₅(Q₈○D₈) = D₂₈.₃₅C₂³	φ: Q₈○D₈/2_-¹⁺⁴ → C₂ ⊆ Aut C₇	224	8-	C7:5(Q8oD8)	448,1291

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