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

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

		d	ρ	Label	ID
C₂×M₅(2)		32		C2xM5(2)	64,184

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

extension	φ:Q→Out N	d	ρ	Label	ID
M₅(2)⋊₁C₂ = C₁₆⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out M₅(2)	16	4+	M5(2):1C2	64,190
M₅(2)⋊₂C₂ = Q₃₂⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out M₅(2)	32	4-	M5(2):2C2	64,191
M₅(2)⋊₃C₂ = C₂³.C₈	φ: C₂/C₁ → C₂ ⊆ Out M₅(2)	16	4	M5(2):3C2	64,30
M₅(2)⋊₄C₂ = D₄.C₈	φ: C₂/C₁ → C₂ ⊆ Out M₅(2)	32	2	M5(2):4C2	64,31
M₅(2)⋊₅C₂ = D₈⋊₂C₄	φ: C₂/C₁ → C₂ ⊆ Out M₅(2)	16	4	M5(2):5C2	64,41
M₅(2)⋊₆C₂ = M₅(2)⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out M₅(2)	16	4+	M5(2):6C2	64,42
M₅(2)⋊₇C₂ = D₄○C₁₆	φ: trivial image	32	2	M5(2):7C2	64,185

Non-split extensions G=N.Q with N=M₅(2) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
M₅(2).₁C₂ = C₈.Q₈	φ: C₂/C₁ → C₂ ⊆ Out M₅(2)	16	4	M5(2).1C2	64,46
M₅(2).₂C₂ = C₁₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out M₅(2)	16	4	M5(2).2C2	64,28
M₅(2).₃C₂ = C₈.₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out M₅(2)	32	4-	M5(2).3C2	64,43
M₅(2).₄C₂ = C₈.C₈	φ: C₂/C₁ → C₂ ⊆ Out M₅(2)	16	2	M5(2).4C2	64,45

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