Extensions 1→N→G→Q→1 with N=D₄ and Q=C₄₄

Direct product G=N×Q with N=D₄ and Q=C₄₄

		d	ρ	Label	ID
D₄×C₄₄		176		D4xC44	352,153

Semidirect products G=N:Q with N=D₄ and Q=C₄₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁C₄₄ = C₁₁×D₄⋊C₄	φ: C₄₄/C₂₂ → C₂ ⊆ Out D₄	176		D4:1C44	352,51
D₄⋊₂C₄₄ = C₁₁×C₄≀C₂	φ: C₄₄/C₂₂ → C₂ ⊆ Out D₄	88	2	D4:2C44	352,53

Non-split extensions G=N.Q with N=D₄ and Q=C₄₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.C₄₄ = C₁₁×C₈○D₄	φ: trivial image	176	2	D4.C44	352,166

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=D4 and Q=C44