Extensions 1→N→G→Q→1 with N=C₇ and Q=C₄○D₁₆

Direct product G=N×Q with N=C₇ and Q=C₄○D₁₆

		d	ρ	Label	ID
C₇×C₄○D₁₆		224	2	C7xC4oD16	448,916

Semidirect products G=N:Q with N=C₇ and Q=C₄○D₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₄○D₁₆) = D₁₁₂⋊₇C₂	φ: C₄○D₁₆/C₂×C₁₆ → C₂ ⊆ Aut C₇	224	2	C7:1(C4oD16)	448,438
C₇⋊₂(C₄○D₁₆) = D₁₆⋊₃D₇	φ: C₄○D₁₆/D₁₆ → C₂ ⊆ Aut C₇	224	4-	C7:2(C4oD16)	448,446
C₇⋊₃(C₄○D₁₆) = SD₃₂⋊₃D₇	φ: C₄○D₁₆/SD₃₂ → C₂ ⊆ Aut C₇	224	4	C7:3(C4oD16)	448,450
C₇⋊₄(C₄○D₁₆) = Q₃₂⋊₃D₇	φ: C₄○D₁₆/Q₃₂ → C₂ ⊆ Aut C₇	224	4+	C7:4(C4oD16)	448,453
C₇⋊₅(C₄○D₁₆) = C₅₆.₃₀C₂³	φ: C₄○D₁₆/C₄○D₈ → C₂ ⊆ Aut C₇	224	4	C7:5(C4oD16)	448,728

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