Extensions 1→N→G→Q→1 with N=C₁₁xM₄(2) and Q=C₂

Direct product G=NxQ with N=C₁₁xM₄(2) and Q=C₂

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

Semidirect products G=N:Q with N=C₁₁xM₄(2) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₁xM₄(2)):₁C₂ = C₈:D₂₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₁xM₄(2)	88	4+	(C11xM4(2)):1C2	352,103
(C₁₁xM₄(2)):₂C₂ = C₈.D₂₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₁xM₄(2)	176	4-	(C11xM4(2)):2C2	352,104
(C₁₁xM₄(2)):₃C₂ = M₄(2)xD₁₁	φ: C₂/C₁ → C₂ ⊆ Out C₁₁xM₄(2)	88	4	(C11xM4(2)):3C2	352,101
(C₁₁xM₄(2)):₄C₂ = D₄₄.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₁xM₄(2)	176	4	(C11xM4(2)):4C2	352,102
(C₁₁xM₄(2)):₅C₂ = C₁₁xC₈:C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₁xM₄(2)	88	4	(C11xM4(2)):5C2	352,171
(C₁₁xM₄(2)):₆C₂ = C₁₁xC₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₁xM₄(2)	176	4	(C11xM4(2)):6C2	352,172
(C₁₁xM₄(2)):₇C₂ = C₄₄.₄₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₁xM₄(2)	88	4+	(C11xM4(2)):7C2	352,29
(C₁₁xM₄(2)):₈C₂ = D₄₄:₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₁xM₄(2)	88	4	(C11xM4(2)):8C2	352,31
(C₁₁xM₄(2)):₉C₂ = C₁₁xC₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₁xM₄(2)	88	4	(C11xM4(2)):9C2	352,49
(C₁₁xM₄(2)):₁₀C₂ = C₁₁xC₄wrC₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₁xM₄(2)	88	2	(C11xM4(2)):10C2	352,53
(C₁₁xM₄(2)):₁₁C₂ = C₁₁xC₈oD₄	φ: trivial image	176	2	(C11xM4(2)):11C2	352,166

Non-split extensions G=N.Q with N=C₁₁xM₄(2) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₁xM₄(2)).₁C₂ = C₄₄.₅₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₁xM₄(2)	176	4	(C11xM4(2)).1C2	352,28
(C₁₁xM₄(2)).₂C₂ = C₄₄.₄₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₁xM₄(2)	176	4-	(C11xM4(2)).2C2	352,30
(C₁₁xM₄(2)).₃C₂ = C₁₁xC₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₁xM₄(2)	176	4	(C11xM4(2)).3C2	352,50
(C₁₁xM₄(2)).₄C₂ = C₁₁xC₈.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₁xM₄(2)	176	2	(C11xM4(2)).4C2	352,57

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