Extensions 1→N→G→Q→1 with N=M₄(2) and Q=S₃

Direct product G=N×Q with N=M₄(2) and Q=S₃

		d	ρ	Label	ID
S₃×M₄(2)		24	4	S3xM4(2)	96,113

Semidirect products G=N:Q with N=M₄(2) and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2)⋊₁S₃ = C₈⋊D₆	φ: S₃/C₃ → C₂ ⊆ Out M₄(2)	24	4+	M4(2):1S3	96,115
M₄(2)⋊₂S₃ = C₈.D₆	φ: S₃/C₃ → C₂ ⊆ Out M₄(2)	48	4-	M4(2):2S3	96,116
M₄(2)⋊₃S₃ = C₁₂.₄₆D₄	φ: S₃/C₃ → C₂ ⊆ Out M₄(2)	24	4+	M4(2):3S3	96,30
M₄(2)⋊₄S₃ = D₁₂⋊C₄	φ: S₃/C₃ → C₂ ⊆ Out M₄(2)	24	4	M4(2):4S3	96,32
M₄(2)⋊₅S₃ = D₁₂.C₄	φ: trivial image	48	4	M4(2):5S3	96,114

Non-split extensions G=N.Q with N=M₄(2) and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2).₁S₃ = C₁₂.₅₃D₄	φ: S₃/C₃ → C₂ ⊆ Out M₄(2)	48	4	M4(2).1S3	96,29
M₄(2).₂S₃ = C₁₂.₄₇D₄	φ: S₃/C₃ → C₂ ⊆ Out M₄(2)	48	4-	M4(2).2S3	96,31

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