Extensions 1→N→G→Q→1 with N=C₇ and Q=Q₈○M₄(2)

Direct product G=N×Q with N=C₇ and Q=Q₈○M₄(2)

		d	ρ	Label	ID
C₇×Q₈○M₄(2)		112	4	C7xQ8oM4(2)	448,1351

Semidirect products G=N:Q with N=C₇ and Q=Q₈○M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(Q₈○M₄(2)) = C₂₈.₇₀C₂⁴	φ: Q₈○M₄(2)/C₂×M₄(2) → C₂ ⊆ Aut C₇	112	4	C7:1(Q8oM4(2))	448,1198
C₇⋊₂(Q₈○M₄(2)) = C₅₆.₄₉C₂³	φ: Q₈○M₄(2)/C₈○D₄ → C₂ ⊆ Aut C₇	112	4	C7:2(Q8oM4(2))	448,1203
C₇⋊₃(Q₈○M₄(2)) = C₂₈.₇₆C₂⁴	φ: Q₈○M₄(2)/C₂×C₄○D₄ → C₂ ⊆ Aut C₇	112	4	C7:3(Q8oM4(2))	448,1272

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