Extensions 1→N→G→Q→1 with N=D₄ and Q=C₂×C₂₂

Direct product G=N×Q with N=D₄ and Q=C₂×C₂₂

		d	ρ	Label	ID
D₄×C₂×C₂₂		176		D4xC2xC22	352,189

Semidirect products G=N:Q with N=D₄ and Q=C₂×C₂₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁(C₂×C₂₂) = D₈×C₂₂	φ: C₂×C₂₂/C₂₂ → C₂ ⊆ Out D₄	176		D4:1(C2xC22)	352,167
D₄⋊₂(C₂×C₂₂) = C₁₁×C₈⋊C₂²	φ: C₂×C₂₂/C₂₂ → C₂ ⊆ Out D₄	88	4	D4:2(C2xC22)	352,171
D₄⋊₃(C₂×C₂₂) = C₄○D₄×C₂₂	φ: trivial image	176		D4:3(C2xC22)	352,191
D₄⋊₄(C₂×C₂₂) = C₁₁×2₊¹⁺⁴	φ: trivial image	88	4	D4:4(C2xC22)	352,192

Non-split extensions G=N.Q with N=D₄ and Q=C₂×C₂₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁(C₂×C₂₂) = SD₁₆×C₂₂	φ: C₂×C₂₂/C₂₂ → C₂ ⊆ Out D₄	176		D4.1(C2xC22)	352,168
D₄.₂(C₂×C₂₂) = C₁₁×C₄○D₈	φ: C₂×C₂₂/C₂₂ → C₂ ⊆ Out D₄	176	2	D4.2(C2xC22)	352,170
D₄.₃(C₂×C₂₂) = C₁₁×C₈.C₂²	φ: C₂×C₂₂/C₂₂ → C₂ ⊆ Out D₄	176	4	D4.3(C2xC22)	352,172
D₄.₄(C₂×C₂₂) = C₁₁×2_-¹⁺⁴	φ: trivial image	176	4	D4.4(C2xC22)	352,193

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