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

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

		d	ρ	Label	ID
D₄×C₂₂		88		D4xC22	176,38

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊C₂₂ = C₁₁×D₈	φ: C₂₂/C₁₁ → C₂ ⊆ Out D₄	88	2	D4:C22	176,24
D₄⋊₂C₂₂ = C₁₁×C₄○D₄	φ: trivial image	88	2	D4:2C22	176,40

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.C₂₂ = C₁₁×SD₁₆	φ: C₂₂/C₁₁ → C₂ ⊆ Out D₄	88	2	D4.C22	176,25

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