Extensions 1→N→G→Q→1 with N=C₁₁×D₈ and Q=C₂

Direct product G=N×Q with N=C₁₁×D₈ and Q=C₂

		d	ρ	Label	ID
D₈×C₂₂		176		D8xC22	352,167

Semidirect products G=N:Q with N=C₁₁×D₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₁×D₈)⋊₁C₂ = C₁₁⋊D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₁×D₈	176	4+	(C11xD8):1C2	352,32
(C₁₁×D₈)⋊₂C₂ = D₈×D₁₁	φ: C₂/C₁ → C₂ ⊆ Out C₁₁×D₈	88	4+	(C11xD8):2C2	352,105
(C₁₁×D₈)⋊₃C₂ = D₈⋊₃D₁₁	φ: C₂/C₁ → C₂ ⊆ Out C₁₁×D₈	176	4-	(C11xD8):3C2	352,107
(C₁₁×D₈)⋊₄C₂ = D₄⋊D₂₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₁×D₈	88	4	(C11xD8):4C2	352,106
(C₁₁×D₈)⋊₅C₂ = C₁₁×D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₁×D₈	176	2	(C11xD8):5C2	352,60
(C₁₁×D₈)⋊₆C₂ = C₁₁×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₁×D₈	88	4	(C11xD8):6C2	352,171
(C₁₁×D₈)⋊₇C₂ = C₁₁×C₄○D₈	φ: trivial image	176	2	(C11xD8):7C2	352,170

Non-split extensions G=N.Q with N=C₁₁×D₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₁×D₈).₁C₂ = D₈.D₁₁	φ: C₂/C₁ → C₂ ⊆ Out C₁₁×D₈	176	4-	(C11xD8).1C2	352,33
(C₁₁×D₈).₂C₂ = C₁₁×SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₁×D₈	176	2	(C11xD8).2C2	352,61

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