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

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

		d	ρ	Label	ID
C₂×D₄×D₁₁		88		C2xD4xD11	352,177

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₂⋊₁D₄ = D₂₂⋊D₄	φ: D₄/C₄ → C₂ ⊆ Out D₂₂	176		D22:1D4	352,79
D₂₂⋊₂D₄ = C₄⋊₂D₄₄	φ: D₄/C₄ → C₂ ⊆ Out D₂₂	176		D22:2D4	352,90
D₂₂⋊₃D₄ = C₄₄⋊₂D₄	φ: D₄/C₄ → C₂ ⊆ Out D₂₂	176		D22:3D4	352,133
D₂₂⋊₄D₄ = C₂²⋊D₄₄	φ: D₄/C₂² → C₂ ⊆ Out D₂₂	88		D22:4D4	352,77
D₂₂⋊₅D₄ = C₂³⋊D₂₂	φ: D₄/C₂² → C₂ ⊆ Out D₂₂	88		D22:5D4	352,132

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₂.₁D₄ = D₈⋊₃D₁₁	φ: D₄/C₄ → C₂ ⊆ Out D₂₂	176	4-	D22.1D4	352,107
D₂₂.₂D₄ = Q₈.D₂₂	φ: D₄/C₄ → C₂ ⊆ Out D₂₂	176	4	D22.2D4	352,111
D₂₂.₃D₄ = D₈₈⋊₅C₂	φ: D₄/C₄ → C₂ ⊆ Out D₂₂	176	4+	D22.3D4	352,114
D₂₂.₄D₄ = D₂₂.D₄	φ: D₄/C₂² → C₂ ⊆ Out D₂₂	176		D22.4D4	352,78
D₂₂.₅D₄ = D₂₂.₅D₄	φ: D₄/C₂² → C₂ ⊆ Out D₂₂	176		D22.5D4	352,89
D₂₂.₆D₄ = D₄⋊D₂₂	φ: D₄/C₂² → C₂ ⊆ Out D₂₂	88	4	D22.6D4	352,106
D₂₂.₇D₄ = D₈₈⋊C₂	φ: D₄/C₂² → C₂ ⊆ Out D₂₂	88	4+	D22.7D4	352,109
D₂₂.₈D₄ = D₄.D₂₂	φ: D₄/C₂² → C₂ ⊆ Out D₂₂	176	4-	D22.8D4	352,110
D₂₂.₉D₄ = Q₁₆⋊D₁₁	φ: D₄/C₂² → C₂ ⊆ Out D₂₂	176	4	D22.9D4	352,113
D₂₂.₁₀D₄ = C₂²⋊C₄×D₁₁	φ: trivial image	88		D22.10D4	352,75
D₂₂.₁₁D₄ = C₄⋊C₄×D₁₁	φ: trivial image	176		D22.11D4	352,86
D₂₂.₁₂D₄ = D₈×D₁₁	φ: trivial image	88	4+	D22.12D4	352,105
D₂₂.₁₃D₄ = SD₁₆×D₁₁	φ: trivial image	88	4	D22.13D4	352,108
D₂₂.₁₄D₄ = Q₁₆×D₁₁	φ: trivial image	176	4-	D22.14D4	352,112

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