Extensions 1→N→G→Q→1 with N=D₂₂ and Q=C₂³

Direct product G=N×Q with N=D₂₂ and Q=C₂³

		d	ρ	Label	ID
C₂⁴×D₁₁		176		C2^4xD11	352,194

Semidirect products G=N:Q with N=D₂₂ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₂⋊₁C₂³ = C₂²×D₄₄	φ: C₂³/C₂² → C₂ ⊆ Out D₂₂	176		D22:1C2^3	352,175
D₂₂⋊₂C₂³ = C₂×D₄×D₁₁	φ: C₂³/C₂² → C₂ ⊆ Out D₂₂	88		D22:2C2^3	352,177
D₂₂⋊₃C₂³ = C₂²×C₁₁⋊D₄	φ: C₂³/C₂² → C₂ ⊆ Out D₂₂	176		D22:3C2^3	352,187

Non-split extensions G=N.Q with N=D₂₂ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₂.₁C₂³ = C₂×D₄₄⋊₅C₂	φ: C₂³/C₂² → C₂ ⊆ Out D₂₂	176		D22.1C2^3	352,176
D₂₂.₂C₂³ = C₂×D₄⋊₂D₁₁	φ: C₂³/C₂² → C₂ ⊆ Out D₂₂	176		D22.2C2^3	352,178
D₂₂.₃C₂³ = D₄⋊₆D₂₂	φ: C₂³/C₂² → C₂ ⊆ Out D₂₂	88	4	D22.3C2^3	352,179
D₂₂.₄C₂³ = C₂×D₄₄⋊C₂	φ: C₂³/C₂² → C₂ ⊆ Out D₂₂	176		D22.4C2^3	352,181
D₂₂.₅C₂³ = Q₈.₁₀D₂₂	φ: C₂³/C₂² → C₂ ⊆ Out D₂₂	176	4	D22.5C2^3	352,182
D₂₂.₆C₂³ = C₄○D₄×D₁₁	φ: C₂³/C₂² → C₂ ⊆ Out D₂₂	88	4	D22.6C2^3	352,183
D₂₂.₇C₂³ = D₄⋊₈D₂₂	φ: C₂³/C₂² → C₂ ⊆ Out D₂₂	88	4+	D22.7C2^3	352,184
D₂₂.₈C₂³ = D₄.₁₀D₂₂	φ: C₂³/C₂² → C₂ ⊆ Out D₂₂	176	4-	D22.8C2^3	352,185
D₂₂.₉C₂³ = C₂²×C₄×D₁₁	φ: trivial image	176		D22.9C2^3	352,174
D₂₂.₁₀C₂³ = C₂×Q₈×D₁₁	φ: trivial image	176		D22.10C2^3	352,180

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