Extensions 1→N→G→Q→1 with N=M₅(2) and Q=D₇

Direct product G=N×Q with N=M₅(2) and Q=D₇

		d	ρ	Label	ID
D₇×M₅(2)		112	4	D7xM5(2)	448,440

Semidirect products G=N:Q with N=M₅(2) and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
M₅(2)⋊₁D₇ = C₁₆⋊D₁₄	φ: D₇/C₇ → C₂ ⊆ Out M₅(2)	112	4+	M5(2):1D7	448,442
M₅(2)⋊₂D₇ = C₁₆.D₁₄	φ: D₇/C₇ → C₂ ⊆ Out M₅(2)	224	4-	M5(2):2D7	448,443
M₅(2)⋊₃D₇ = M₅(2)⋊D₇	φ: D₇/C₇ → C₂ ⊆ Out M₅(2)	112	4	M5(2):3D7	448,71
M₅(2)⋊₄D₇ = Dic₁₄.C₈	φ: D₇/C₇ → C₂ ⊆ Out M₅(2)	224	4	M5(2):4D7	448,72
M₅(2)⋊₅D₇ = C₂₈.₃D₈	φ: D₇/C₇ → C₂ ⊆ Out M₅(2)	112	4+	M5(2):5D7	448,73
M₅(2)⋊₆D₇ = D₅₆⋊₂C₄	φ: D₇/C₇ → C₂ ⊆ Out M₅(2)	112	4	M5(2):6D7	448,75
M₅(2)⋊₇D₇ = C₁₆.₁₂D₁₄	φ: trivial image	224	4	M5(2):7D7	448,441

Non-split extensions G=N.Q with N=M₅(2) and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
M₅(2).₁D₇ = C₁₆⋊Dic₇	φ: D₇/C₇ → C₂ ⊆ Out M₅(2)	112	4	M5(2).1D7	448,70
M₅(2).₂D₇ = C₅₆.₉Q₈	φ: D₇/C₇ → C₂ ⊆ Out M₅(2)	112	4	M5(2).2D7	448,68
M₅(2).₃D₇ = C₁₁₂⋊C₄	φ: D₇/C₇ → C₂ ⊆ Out M₅(2)	112	4	M5(2).3D7	448,69
M₅(2).₄D₇ = C₂₈.₄D₈	φ: D₇/C₇ → C₂ ⊆ Out M₅(2)	224	4-	M5(2).4D7	448,74

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