Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₂₂

Direct product G=N×Q with N=Q₈ and Q=C₂₂

		d	ρ	Label	ID
Q₈×C₂₂		176		Q8xC22	176,39

Semidirect products G=N:Q with N=Q₈ and Q=C₂₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊C₂₂ = C₁₁×SD₁₆	φ: C₂₂/C₁₁ → C₂ ⊆ Out Q₈	88	2	Q8:C22	176,25
Q₈⋊₂C₂₂ = C₁₁×C₄○D₄	φ: trivial image	88	2	Q8:2C22	176,40

Non-split extensions G=N.Q with N=Q₈ and Q=C₂₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.C₂₂ = C₁₁×Q₁₆	φ: C₂₂/C₁₁ → C₂ ⊆ Out Q₈	176	2	Q8.C22	176,26

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=Q8 and Q=C22