Extensions 1→N→G→Q→1 with N=C₇ and Q=D₈.C₄

Direct product G=N×Q with N=C₇ and Q=D₈.C₄

		d	ρ	Label	ID
C₇×D₈.C₄		224	2	C7xD8.C4	448,163

Semidirect products G=N:Q with N=C₇ and Q=D₈.C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(D₈.C₄) = Dic₂₈.C₄	φ: D₈.C₄/C₈.C₄ → C₂ ⊆ Aut C₇	224	4	C7:1(D8.C4)	448,54
C₇⋊₂(D₈.C₄) = D₅₆.₁C₄	φ: D₈.C₄/C₂×C₁₆ → C₂ ⊆ Aut C₇	224	2	C7:2(D8.C4)	448,67
C₇⋊₃(D₈.C₄) = C₂₈.₅₈D₈	φ: D₈.C₄/C₄○D₈ → C₂ ⊆ Aut C₇	224	4	C7:3(D8.C4)	448,124

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