Extensions 1→N→G→Q→1 with N=Q₈ and Q=D₂₂

Direct product G=N×Q with N=Q₈ and Q=D₂₂

		d	ρ	Label	ID
C₂×Q₈×D₁₁		176		C2xQ8xD11	352,180

Semidirect products G=N:Q with N=Q₈ and Q=D₂₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₁D₂₂ = SD₁₆×D₁₁	φ: D₂₂/D₁₁ → C₂ ⊆ Out Q₈	88	4	Q8:1D22	352,108
Q₈⋊₂D₂₂ = D₈₈⋊C₂	φ: D₂₂/D₁₁ → C₂ ⊆ Out Q₈	88	4+	Q8:2D22	352,109
Q₈⋊₃D₂₂ = C₂×Q₈⋊D₁₁	φ: D₂₂/C₂₂ → C₂ ⊆ Out Q₈	176		Q8:3D22	352,136
Q₈⋊₄D₂₂ = Q₈⋊D₂₂	φ: D₂₂/C₂₂ → C₂ ⊆ Out Q₈	88	4+	Q8:4D22	352,144
Q₈⋊₅D₂₂ = C₂×D₄₄⋊C₂	φ: trivial image	176		Q8:5D22	352,181
Q₈⋊₆D₂₂ = C₄○D₄×D₁₁	φ: trivial image	88	4	Q8:6D22	352,183
Q₈⋊₇D₂₂ = D₄⋊₈D₂₂	φ: trivial image	88	4+	Q8:7D22	352,184

Non-split extensions G=N.Q with N=Q₈ and Q=D₂₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁D₂₂ = D₄.D₂₂	φ: D₂₂/D₁₁ → C₂ ⊆ Out Q₈	176	4-	Q8.1D22	352,110
Q₈.₂D₂₂ = Q₈.D₂₂	φ: D₂₂/D₁₁ → C₂ ⊆ Out Q₈	176	4	Q8.2D22	352,111
Q₈.₃D₂₂ = Q₁₆×D₁₁	φ: D₂₂/D₁₁ → C₂ ⊆ Out Q₈	176	4-	Q8.3D22	352,112
Q₈.₄D₂₂ = Q₁₆⋊D₁₁	φ: D₂₂/D₁₁ → C₂ ⊆ Out Q₈	176	4	Q8.4D22	352,113
Q₈.₅D₂₂ = D₈₈⋊₅C₂	φ: D₂₂/D₁₁ → C₂ ⊆ Out Q₈	176	4+	Q8.5D22	352,114
Q₈.₆D₂₂ = C₄₄.C₂³	φ: D₂₂/C₂₂ → C₂ ⊆ Out Q₈	176	4	Q8.6D22	352,137
Q₈.₇D₂₂ = C₂×C₁₁⋊Q₁₆	φ: D₂₂/C₂₂ → C₂ ⊆ Out Q₈	352		Q8.7D22	352,138
Q₈.₈D₂₂ = D₄.₈D₂₂	φ: D₂₂/C₂₂ → C₂ ⊆ Out Q₈	176	4	Q8.8D22	352,145
Q₈.₉D₂₂ = D₄.₉D₂₂	φ: D₂₂/C₂₂ → C₂ ⊆ Out Q₈	176	4-	Q8.9D22	352,146
Q₈.₁₀D₂₂ = Q₈.₁₀D₂₂	φ: trivial image	176	4	Q8.10D22	352,182
Q₈.₁₁D₂₂ = D₄.₁₀D₂₂	φ: trivial image	176	4-	Q8.11D22	352,185

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁