Extensions 1→N→G→Q→1 with N=M₅(2) and Q=S₃

Direct product G=N×Q with N=M₅(2) and Q=S₃

		d	ρ	Label	ID
S₃×M₅(2)		48	4	S3xM5(2)	192,465

Semidirect products G=N:Q with N=M₅(2) and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
M₅(2)⋊₁S₃ = C₁₆⋊D₆	φ: S₃/C₃ → C₂ ⊆ Out M₅(2)	48	4+	M5(2):1S3	192,467
M₅(2)⋊₂S₃ = C₁₆.D₆	φ: S₃/C₃ → C₂ ⊆ Out M₅(2)	96	4-	M5(2):2S3	192,468
M₅(2)⋊₃S₃ = C₈.₂₅D₁₂	φ: S₃/C₃ → C₂ ⊆ Out M₅(2)	48	4	M5(2):3S3	192,73
M₅(2)⋊₄S₃ = Dic₆.C₈	φ: S₃/C₃ → C₂ ⊆ Out M₅(2)	96	4	M5(2):4S3	192,74
M₅(2)⋊₅S₃ = M₅(2)⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out M₅(2)	48	4+	M5(2):5S3	192,75
M₅(2)⋊₆S₃ = D₂₄⋊₂C₄	φ: S₃/C₃ → C₂ ⊆ Out M₅(2)	48	4	M5(2):6S3	192,77
M₅(2)⋊₇S₃ = C₁₆.₁₂D₆	φ: trivial image	96	4	M5(2):7S3	192,466

Non-split extensions G=N.Q with N=M₅(2) and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
M₅(2).₁S₃ = C₂₄.Q₈	φ: S₃/C₃ → C₂ ⊆ Out M₅(2)	48	4	M5(2).1S3	192,72
M₅(2).₂S₃ = C₂₄.₉₇D₄	φ: S₃/C₃ → C₂ ⊆ Out M₅(2)	48	4	M5(2).2S3	192,70
M₅(2).₃S₃ = C₄₈⋊C₄	φ: S₃/C₃ → C₂ ⊆ Out M₅(2)	48	4	M5(2).3S3	192,71
M₅(2).₄S₃ = C₁₂.₄D₈	φ: S₃/C₃ → C₂ ⊆ Out M₅(2)	96	4-	M5(2).4S3	192,76

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