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

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

		d	ρ	Label	ID
C₇×M₅(2)		112	2	C7xM5(2)	224,59

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁M₅(2) = C₁₆⋊D₇	φ: M₅(2)/C₁₆ → C₂ ⊆ Aut C₇	112	2	C7:1M5(2)	224,4
C₇⋊₂M₅(2) = C₂₈.C₈	φ: M₅(2)/C₂×C₈ → C₂ ⊆ Aut C₇	112	2	C7:2M5(2)	224,18

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