Extensions 1→N→G→Q→1 with N=M₅(2) and Q=C₆

Direct product G=N×Q with N=M₅(2) and Q=C₆

		d	ρ	Label	ID
C₆×M₅(2)		96		C6xM5(2)	192,936

Semidirect products G=N:Q with N=M₅(2) and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
M₅(2)⋊₁C₆ = C₃×C₁₆⋊C₂²	φ: C₆/C₃ → C₂ ⊆ Out M₅(2)	48	4	M5(2):1C6	192,942
M₅(2)⋊₂C₆ = C₃×Q₃₂⋊C₂	φ: C₆/C₃ → C₂ ⊆ Out M₅(2)	96	4	M5(2):2C6	192,943
M₅(2)⋊₃C₆ = C₃×C₂³.C₈	φ: C₆/C₃ → C₂ ⊆ Out M₅(2)	48	4	M5(2):3C6	192,155
M₅(2)⋊₄C₆ = C₃×D₄.C₈	φ: C₆/C₃ → C₂ ⊆ Out M₅(2)	96	2	M5(2):4C6	192,156
M₅(2)⋊₅C₆ = C₃×D₈⋊₂C₄	φ: C₆/C₃ → C₂ ⊆ Out M₅(2)	48	4	M5(2):5C6	192,166
M₅(2)⋊₆C₆ = C₃×M₅(2)⋊C₂	φ: C₆/C₃ → C₂ ⊆ Out M₅(2)	48	4	M5(2):6C6	192,167
M₅(2)⋊₇C₆ = C₃×D₄○C₁₆	φ: trivial image	96	2	M5(2):7C6	192,937

Non-split extensions G=N.Q with N=M₅(2) and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
M₅(2).₁C₆ = C₃×C₈.Q₈	φ: C₆/C₃ → C₂ ⊆ Out M₅(2)	48	4	M5(2).1C6	192,171
M₅(2).₂C₆ = C₃×C₁₆⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out M₅(2)	48	4	M5(2).2C6	192,153
M₅(2).₃C₆ = C₃×C₈.₁₇D₄	φ: C₆/C₃ → C₂ ⊆ Out M₅(2)	96	4	M5(2).3C6	192,168
M₅(2).₄C₆ = C₃×C₈.C₈	φ: C₆/C₃ → C₂ ⊆ Out M₅(2)	48	2	M5(2).4C6	192,170

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