Extensions 1→N→G→Q→1 with N=D₄ and Q=D₂₂

Direct product G=NxQ with N=D₄ and Q=D₂₂

		d	ρ	Label	ID
C₂xD₄xD₁₁		88		C2xD4xD11	352,177

Semidirect products G=N:Q with N=D₄ and Q=D₂₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄:₁D₂₂ = D₈xD₁₁	φ: D₂₂/D₁₁ → C₂ ⊆ Out D₄	88	4+	D4:1D22	352,105
D₄:₂D₂₂ = D₄:D₂₂	φ: D₂₂/D₁₁ → C₂ ⊆ Out D₄	88	4	D4:2D22	352,106
D₄:₃D₂₂ = C₂xD₄:D₁₁	φ: D₂₂/C₂₂ → C₂ ⊆ Out D₄	176		D4:3D22	352,126
D₄:₄D₂₂ = Q₈:D₂₂	φ: D₂₂/C₂₂ → C₂ ⊆ Out D₄	88	4+	D4:4D22	352,144
D₄:₅D₂₂ = C₂xD₄:₂D₁₁	φ: trivial image	176		D4:5D22	352,178
D₄:₆D₂₂ = D₄:₆D₂₂	φ: trivial image	88	4	D4:6D22	352,179
D₄:₇D₂₂ = C₄oD₄xD₁₁	φ: trivial image	88	4	D4:7D22	352,183
D₄:₈D₂₂ = D₄:₈D₂₂	φ: trivial image	88	4+	D4:8D22	352,184

Non-split extensions G=N.Q with N=D₄ and Q=D₂₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁D₂₂ = D₈:₃D₁₁	φ: D₂₂/D₁₁ → C₂ ⊆ Out D₄	176	4-	D4.1D22	352,107
D₄.₂D₂₂ = SD₁₆xD₁₁	φ: D₂₂/D₁₁ → C₂ ⊆ Out D₄	88	4	D4.2D22	352,108
D₄.₃D₂₂ = D₈₈:C₂	φ: D₂₂/D₁₁ → C₂ ⊆ Out D₄	88	4+	D4.3D22	352,109
D₄.₄D₂₂ = D₄.D₂₂	φ: D₂₂/D₁₁ → C₂ ⊆ Out D₄	176	4-	D4.4D22	352,110
D₄.₅D₂₂ = Q₈.D₂₂	φ: D₂₂/D₁₁ → C₂ ⊆ Out D₄	176	4	D4.5D22	352,111
D₄.₆D₂₂ = D₄₄:₆C₂²	φ: D₂₂/C₂₂ → C₂ ⊆ Out D₄	88	4	D4.6D22	352,127
D₄.₇D₂₂ = C₂xD₄.D₁₁	φ: D₂₂/C₂₂ → C₂ ⊆ Out D₄	176		D4.7D22	352,128
D₄.₈D₂₂ = D₄.₈D₂₂	φ: D₂₂/C₂₂ → C₂ ⊆ Out D₄	176	4	D4.8D22	352,145
D₄.₉D₂₂ = D₄.₉D₂₂	φ: D₂₂/C₂₂ → C₂ ⊆ Out D₄	176	4-	D4.9D22	352,146
D₄.₁₀D₂₂ = D₄.₁₀D₂₂	φ: trivial image	176	4-	D4.10D22	352,185

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