Extensions 1→N→G→Q→1 with N=M₄(2) and Q=C₂₂

Direct product G=N×Q with N=M₄(2) and Q=C₂₂

		d	ρ	Label	ID
M₄(2)×C₂₂		176		M4(2)xC22	352,165

Semidirect products G=N:Q with N=M₄(2) and Q=C₂₂

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2)⋊₁C₂₂ = C₁₁×C₈⋊C₂²	φ: C₂₂/C₁₁ → C₂ ⊆ Out M₄(2)	88	4	M4(2):1C22	352,171
M₄(2)⋊₂C₂₂ = C₁₁×C₈.C₂²	φ: C₂₂/C₁₁ → C₂ ⊆ Out M₄(2)	176	4	M4(2):2C22	352,172
M₄(2)⋊₃C₂₂ = C₁₁×C₄.D₄	φ: C₂₂/C₁₁ → C₂ ⊆ Out M₄(2)	88	4	M4(2):3C22	352,49
M₄(2)⋊₄C₂₂ = C₁₁×C₄≀C₂	φ: C₂₂/C₁₁ → C₂ ⊆ Out M₄(2)	88	2	M4(2):4C22	352,53
M₄(2)⋊₅C₂₂ = C₁₁×C₈○D₄	φ: trivial image	176	2	M4(2):5C22	352,166

Non-split extensions G=N.Q with N=M₄(2) and Q=C₂₂

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2).₁C₂₂ = C₁₁×C₄.₁₀D₄	φ: C₂₂/C₁₁ → C₂ ⊆ Out M₄(2)	176	4	M4(2).1C22	352,50
M₄(2).₂C₂₂ = C₁₁×C₈.C₄	φ: C₂₂/C₁₁ → C₂ ⊆ Out M₄(2)	176	2	M4(2).2C22	352,57

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