Extensions 1→N→G→Q→1 with N=C₇ and Q=C₈○₂M₄(2)

Direct product G=N×Q with N=C₇ and Q=C₈○₂M₄(2)

		d	ρ	Label	ID
C₇×C₈○₂M₄(2)		224		C7xC8o2M4(2)	448,813

Semidirect products G=N:Q with N=C₇ and Q=C₈○₂M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₈○₂M₄(2)) = D₁₄.C₄²	φ: C₈○₂M₄(2)/C₄×C₈ → C₂ ⊆ Aut C₇	224		C7:1(C8o2M4(2))	448,223
C₇⋊₂(C₈○₂M₄(2)) = D₁₄.₄C₄²	φ: C₈○₂M₄(2)/C₈⋊C₄ → C₂ ⊆ Aut C₇	224		C7:2(C8o2M4(2))	448,242
C₇⋊₃(C₈○₂M₄(2)) = C₂₈.₅C₄²	φ: C₈○₂M₄(2)/C₄²⋊C₂ → C₂ ⊆ Aut C₇	224		C7:3(C8o2M4(2))	448,531
C₇⋊₄(C₈○₂M₄(2)) = C₂₈.₁₂C₄²	φ: C₈○₂M₄(2)/C₂²×C₈ → C₂ ⊆ Aut C₇	224		C7:4(C8o2M4(2))	448,635
C₇⋊₅(C₈○₂M₄(2)) = C₂₈.₇C₄²	φ: C₈○₂M₄(2)/C₂×M₄(2) → C₂ ⊆ Aut C₇	224		C7:5(C8o2M4(2))	448,656

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