Extensions 1→N→G→Q→1 with N=C₁₁×M₄(2) and Q=C₂

Direct product G=N×Q with N=C₁₁×M₄(2) and Q=C₂

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

Semidirect products G=N:Q with N=C₁₁×M₄(2) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₁×M₄(2))⋊₁C₂ = C₈⋊D₂₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₁×M₄(2)	88	4+	(C11xM4(2)):1C2	352,103
(C₁₁×M₄(2))⋊₂C₂ = C₈.D₂₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₁×M₄(2)	176	4-	(C11xM4(2)):2C2	352,104
(C₁₁×M₄(2))⋊₃C₂ = M₄(2)×D₁₁	φ: C₂/C₁ → C₂ ⊆ Out C₁₁×M₄(2)	88	4	(C11xM4(2)):3C2	352,101
(C₁₁×M₄(2))⋊₄C₂ = D₄₄.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₁×M₄(2)	176	4	(C11xM4(2)):4C2	352,102
(C₁₁×M₄(2))⋊₅C₂ = C₁₁×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₁×M₄(2)	88	4	(C11xM4(2)):5C2	352,171
(C₁₁×M₄(2))⋊₆C₂ = C₁₁×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₁×M₄(2)	176	4	(C11xM4(2)):6C2	352,172
(C₁₁×M₄(2))⋊₇C₂ = C₄₄.₄₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₁×M₄(2)	88	4+	(C11xM4(2)):7C2	352,29
(C₁₁×M₄(2))⋊₈C₂ = D₄₄⋊₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₁×M₄(2)	88	4	(C11xM4(2)):8C2	352,31
(C₁₁×M₄(2))⋊₉C₂ = C₁₁×C₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₁×M₄(2)	88	4	(C11xM4(2)):9C2	352,49
(C₁₁×M₄(2))⋊₁₀C₂ = C₁₁×C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₁×M₄(2)	88	2	(C11xM4(2)):10C2	352,53
(C₁₁×M₄(2))⋊₁₁C₂ = C₁₁×C₈○D₄	φ: trivial image	176	2	(C11xM4(2)):11C2	352,166

Non-split extensions G=N.Q with N=C₁₁×M₄(2) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₁×M₄(2)).₁C₂ = C₄₄.₅₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₁×M₄(2)	176	4	(C11xM4(2)).1C2	352,28
(C₁₁×M₄(2)).₂C₂ = C₄₄.₄₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₁×M₄(2)	176	4-	(C11xM4(2)).2C2	352,30
(C₁₁×M₄(2)).₃C₂ = C₁₁×C₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₁×M₄(2)	176	4	(C11xM4(2)).3C2	352,50
(C₁₁×M₄(2)).₄C₂ = C₁₁×C₈.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₁×M₄(2)	176	2	(C11xM4(2)).4C2	352,57

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