Extensions 1→N→G→Q→1 with N=C₇ and Q=M₅(2)⋊C₂

Direct product G=N×Q with N=C₇ and Q=M₅(2)⋊C₂

		d	ρ	Label	ID
C₇×M₅(2)⋊C₂		112	4	C7xM5(2):C2	448,165

Semidirect products G=N:Q with N=C₇ and Q=M₅(2)⋊C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(M₅(2)⋊C₂) = D₅₆.C₄	φ: M₅(2)⋊C₂/C₈.C₄ → C₂ ⊆ Aut C₇	112	4+	C7:1(M5(2):C2)	448,52
C₇⋊₂(M₅(2)⋊C₂) = C₂₈.₃D₈	φ: M₅(2)⋊C₂/M₅(2) → C₂ ⊆ Aut C₇	112	4+	C7:2(M5(2):C2)	448,73
C₇⋊₃(M₅(2)⋊C₂) = D₈.Dic₇	φ: M₅(2)⋊C₂/C₂×D₈ → C₂ ⊆ Aut C₇	112	4	C7:3(M5(2):C2)	448,120

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