Extensions 1→N→G→Q→1 with N=C₁₁×C₄○D₄ and Q=C₂

Direct product G=N×Q with N=C₁₁×C₄○D₄ and Q=C₂

		d	ρ	Label	ID
C₄○D₄×C₂₂		176		C4oD4xC22	352,191

Semidirect products G=N:Q with N=C₁₁×C₄○D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₁×C₄○D₄)⋊₁C₂ = Q₈⋊D₂₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₁×C₄○D₄	88	4+	(C11xC4oD4):1C2	352,144
(C₁₁×C₄○D₄)⋊₂C₂ = D₄.₈D₂₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₁×C₄○D₄	176	4	(C11xC4oD4):2C2	352,145
(C₁₁×C₄○D₄)⋊₃C₂ = C₄○D₄×D₁₁	φ: C₂/C₁ → C₂ ⊆ Out C₁₁×C₄○D₄	88	4	(C11xC4oD4):3C2	352,183
(C₁₁×C₄○D₄)⋊₄C₂ = D₄⋊₈D₂₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₁×C₄○D₄	88	4+	(C11xC4oD4):4C2	352,184
(C₁₁×C₄○D₄)⋊₅C₂ = D₄.₁₀D₂₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₁×C₄○D₄	176	4-	(C11xC4oD4):5C2	352,185
(C₁₁×C₄○D₄)⋊₆C₂ = C₁₁×C₄○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₁×C₄○D₄	176	2	(C11xC4oD4):6C2	352,170
(C₁₁×C₄○D₄)⋊₇C₂ = C₁₁×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₁×C₄○D₄	88	4	(C11xC4oD4):7C2	352,171
(C₁₁×C₄○D₄)⋊₈C₂ = C₁₁×2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₁×C₄○D₄	88	4	(C11xC4oD4):8C2	352,192
(C₁₁×C₄○D₄)⋊₉C₂ = C₁₁×2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₁×C₄○D₄	176	4	(C11xC4oD4):9C2	352,193

Non-split extensions G=N.Q with N=C₁₁×C₄○D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₁×C₄○D₄).₁C₂ = C₄₄.₅₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₁×C₄○D₄	88	4	(C11xC4oD4).1C2	352,43
(C₁₁×C₄○D₄).₂C₂ = Q₈.Dic₁₁	φ: C₂/C₁ → C₂ ⊆ Out C₁₁×C₄○D₄	176	4	(C11xC4oD4).2C2	352,143
(C₁₁×C₄○D₄).₃C₂ = D₄.₉D₂₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₁×C₄○D₄	176	4-	(C11xC4oD4).3C2	352,146
(C₁₁×C₄○D₄).₄C₂ = C₁₁×C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₁×C₄○D₄	88	2	(C11xC4oD4).4C2	352,53
(C₁₁×C₄○D₄).₅C₂ = C₁₁×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₁×C₄○D₄	176	4	(C11xC4oD4).5C2	352,172
(C₁₁×C₄○D₄).₆C₂ = C₁₁×C₈○D₄	φ: trivial image	176	2	(C11xC4oD4).6C2	352,166

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