Extensions 1→N→G→Q→1 with N=C₂² and Q=D₂₂

Direct product G=N×Q with N=C₂² and Q=D₂₂

		d	ρ	Label	ID
C₂³×D₁₁		88		C2^3xD11	176,41

Semidirect products G=N:Q with N=C₂² and Q=D₂₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁D₂₂ = D₄×D₁₁	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₂²	44	4+	C2^2:1D22	176,31
C₂²⋊₂D₂₂ = C₂×C₁₁⋊D₄	φ: D₂₂/C₂₂ → C₂ ⊆ Aut C₂²	88		C2^2:2D22	176,36

Non-split extensions G=N.Q with N=C₂² and Q=D₂₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁D₂₂ = D₄⋊₂D₁₁	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₂²	88	4-	C2^2.1D22	176,32
C₂².₂D₂₂ = D₄₄⋊₅C₂	φ: D₂₂/C₂₂ → C₂ ⊆ Aut C₂²	88	2	C2^2.2D22	176,30
C₂².₃D₂₂ = C₄×Dic₁₁	central extension (φ=1)	176		C2^2.3D22	176,10
C₂².₄D₂₂ = Dic₁₁⋊C₄	central extension (φ=1)	176		C2^2.4D22	176,11
C₂².₅D₂₂ = C₄₄⋊C₄	central extension (φ=1)	176		C2^2.5D22	176,12
C₂².₆D₂₂ = D₂₂⋊C₄	central extension (φ=1)	88		C2^2.6D22	176,13
C₂².₇D₂₂ = C₂³.D₁₁	central extension (φ=1)	88		C2^2.7D22	176,18
C₂².₈D₂₂ = C₂×Dic₂₂	central extension (φ=1)	176		C2^2.8D22	176,27
C₂².₉D₂₂ = C₂×C₄×D₁₁	central extension (φ=1)	88		C2^2.9D22	176,28
C₂².₁₀D₂₂ = C₂×D₄₄	central extension (φ=1)	88		C2^2.10D22	176,29
C₂².₁₁D₂₂ = C₂²×Dic₁₁	central extension (φ=1)	176		C2^2.11D22	176,35

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