Extensions 1→N→G→Q→1 with N=M₄(2) and Q=D₉

Direct product G=N×Q with N=M₄(2) and Q=D₉

		d	ρ	Label	ID
M₄(2)×D₉		72	4	M4(2)xD9	288,116

Semidirect products G=N:Q with N=M₄(2) and Q=D₉

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2)⋊₁D₉ = C₈⋊D₁₈	φ: D₉/C₉ → C₂ ⊆ Out M₄(2)	72	4+	M4(2):1D9	288,118
M₄(2)⋊₂D₉ = C₈.D₁₈	φ: D₉/C₉ → C₂ ⊆ Out M₄(2)	144	4-	M4(2):2D9	288,119
M₄(2)⋊₃D₉ = C₃₆.₄₈D₄	φ: D₉/C₉ → C₂ ⊆ Out M₄(2)	72	4+	M4(2):3D9	288,31
M₄(2)⋊₄D₉ = Dic₁₈⋊C₄	φ: D₉/C₉ → C₂ ⊆ Out M₄(2)	72	4	M4(2):4D9	288,32
M₄(2)⋊₅D₉ = D₃₆.C₄	φ: trivial image	144	4	M4(2):5D9	288,117

Non-split extensions G=N.Q with N=M₄(2) and Q=D₉

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2).₁D₉ = C₃₆.₅₃D₄	φ: D₉/C₉ → C₂ ⊆ Out M₄(2)	144	4	M4(2).1D9	288,29
M₄(2).₂D₉ = C₄.D₃₆	φ: D₉/C₉ → C₂ ⊆ Out M₄(2)	144	4-	M4(2).2D9	288,30

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