Extensions 1→N→G→Q→1 with N=M₄(2) and Q=D₁₁

Direct product G=N×Q with N=M₄(2) and Q=D₁₁

		d	ρ	Label	ID
M₄(2)×D₁₁		88	4	M4(2)xD11	352,101

Semidirect products G=N:Q with N=M₄(2) and Q=D₁₁

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2)⋊₁D₁₁ = C₈⋊D₂₂	φ: D₁₁/C₁₁ → C₂ ⊆ Out M₄(2)	88	4+	M4(2):1D11	352,103
M₄(2)⋊₂D₁₁ = C₈.D₂₂	φ: D₁₁/C₁₁ → C₂ ⊆ Out M₄(2)	176	4-	M4(2):2D11	352,104
M₄(2)⋊₃D₁₁ = C₄₄.₄₆D₄	φ: D₁₁/C₁₁ → C₂ ⊆ Out M₄(2)	88	4+	M4(2):3D11	352,29
M₄(2)⋊₄D₁₁ = D₄₄⋊₄C₄	φ: D₁₁/C₁₁ → C₂ ⊆ Out M₄(2)	88	4	M4(2):4D11	352,31
M₄(2)⋊₅D₁₁ = D₄₄.C₄	φ: trivial image	176	4	M4(2):5D11	352,102

Non-split extensions G=N.Q with N=M₄(2) and Q=D₁₁

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2).₁D₁₁ = C₄₄.₅₃D₄	φ: D₁₁/C₁₁ → C₂ ⊆ Out M₄(2)	176	4	M4(2).1D11	352,28
M₄(2).₂D₁₁ = C₄₄.₄₇D₄	φ: D₁₁/C₁₁ → C₂ ⊆ Out M₄(2)	176	4-	M4(2).2D11	352,30

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