Extensions 1→N→G→Q→1 with N=M₅(2) and Q=C₁₀

Direct product G=N×Q with N=M₅(2) and Q=C₁₀

		d	ρ	Label	ID
C₁₀×M₅(2)		160		C10xM5(2)	320,1004

Semidirect products G=N:Q with N=M₅(2) and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
M₅(2)⋊₁C₁₀ = C₅×C₁₆⋊C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out M₅(2)	80	4	M5(2):1C10	320,1010
M₅(2)⋊₂C₁₀ = C₅×Q₃₂⋊C₂	φ: C₁₀/C₅ → C₂ ⊆ Out M₅(2)	160	4	M5(2):2C10	320,1011
M₅(2)⋊₃C₁₀ = C₅×C₂³.C₈	φ: C₁₀/C₅ → C₂ ⊆ Out M₅(2)	80	4	M5(2):3C10	320,154
M₅(2)⋊₄C₁₀ = C₅×D₄.C₈	φ: C₁₀/C₅ → C₂ ⊆ Out M₅(2)	160	2	M5(2):4C10	320,155
M₅(2)⋊₅C₁₀ = C₅×D₈⋊₂C₄	φ: C₁₀/C₅ → C₂ ⊆ Out M₅(2)	80	4	M5(2):5C10	320,165
M₅(2)⋊₆C₁₀ = C₅×M₅(2)⋊C₂	φ: C₁₀/C₅ → C₂ ⊆ Out M₅(2)	80	4	M5(2):6C10	320,166
M₅(2)⋊₇C₁₀ = C₅×D₄○C₁₆	φ: trivial image	160	2	M5(2):7C10	320,1005

Non-split extensions G=N.Q with N=M₅(2) and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
M₅(2).₁C₁₀ = C₅×C₈.Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out M₅(2)	80	4	M5(2).1C10	320,170
M₅(2).₂C₁₀ = C₅×C₁₆⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out M₅(2)	80	4	M5(2).2C10	320,152
M₅(2).₃C₁₀ = C₅×C₈.₁₇D₄	φ: C₁₀/C₅ → C₂ ⊆ Out M₅(2)	160	4	M5(2).3C10	320,167
M₅(2).₄C₁₀ = C₅×C₈.C₈	φ: C₁₀/C₅ → C₂ ⊆ Out M₅(2)	80	2	M5(2).4C10	320,169

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