Extensions 1→N→G→Q→1 with N=C₄○D₄ and Q=C₂₂

Direct product G=N×Q with N=C₄○D₄ and Q=C₂₂

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

Semidirect products G=N:Q with N=C₄○D₄ and Q=C₂₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄⋊₁C₂₂ = C₁₁×C₄○D₈	φ: C₂₂/C₁₁ → C₂ ⊆ Out C₄○D₄	176	2	C4oD4:1C22	352,170
C₄○D₄⋊₂C₂₂ = C₁₁×C₈⋊C₂²	φ: C₂₂/C₁₁ → C₂ ⊆ Out C₄○D₄	88	4	C4oD4:2C22	352,171
C₄○D₄⋊₃C₂₂ = C₁₁×2₊¹⁺⁴	φ: C₂₂/C₁₁ → C₂ ⊆ Out C₄○D₄	88	4	C4oD4:3C22	352,192
C₄○D₄⋊₄C₂₂ = C₁₁×2_-¹⁺⁴	φ: C₂₂/C₁₁ → C₂ ⊆ Out C₄○D₄	176	4	C4oD4:4C22	352,193

Non-split extensions G=N.Q with N=C₄○D₄ and Q=C₂₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄.₁C₂₂ = C₁₁×C₄≀C₂	φ: C₂₂/C₁₁ → C₂ ⊆ Out C₄○D₄	88	2	C4oD4.1C22	352,53
C₄○D₄.₂C₂₂ = C₁₁×C₈.C₂²	φ: C₂₂/C₁₁ → C₂ ⊆ Out C₄○D₄	176	4	C4oD4.2C22	352,172
C₄○D₄.₃C₂₂ = C₁₁×C₈○D₄	φ: trivial image	176	2	C4oD4.3C22	352,166

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