Extensions 1→N→G→Q→1 with N=M₄(2) and Q=C₆

Direct product G=N×Q with N=M₄(2) and Q=C₆

		d	ρ	Label	ID
C₆×M₄(2)		48		C6xM4(2)	96,177

Semidirect products G=N:Q with N=M₄(2) and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2)⋊₁C₆ = C₃×C₈⋊C₂²	φ: C₆/C₃ → C₂ ⊆ Out M₄(2)	24	4	M4(2):1C6	96,183
M₄(2)⋊₂C₆ = C₃×C₈.C₂²	φ: C₆/C₃ → C₂ ⊆ Out M₄(2)	48	4	M4(2):2C6	96,184
M₄(2)⋊₃C₆ = C₃×C₄.D₄	φ: C₆/C₃ → C₂ ⊆ Out M₄(2)	24	4	M4(2):3C6	96,50
M₄(2)⋊₄C₆ = C₃×C₄≀C₂	φ: C₆/C₃ → C₂ ⊆ Out M₄(2)	24	2	M4(2):4C6	96,54
M₄(2)⋊₅C₆ = C₃×C₈○D₄	φ: trivial image	48	2	M4(2):5C6	96,178

Non-split extensions G=N.Q with N=M₄(2) and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2).₁C₆ = C₃×C₄.₁₀D₄	φ: C₆/C₃ → C₂ ⊆ Out M₄(2)	48	4	M4(2).1C6	96,51
M₄(2).₂C₆ = C₃×C₈.C₄	φ: C₆/C₃ → C₂ ⊆ Out M₄(2)	48	2	M4(2).2C6	96,58

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