Extensions 1→N→G→Q→1 with N=C₂² and Q=D₁₀

Direct product G=N×Q with N=C₂² and Q=D₁₀

		d	ρ	Label	ID
C₂³×D₅		40		C2^3xD5	80,51

Semidirect products G=N:Q with N=C₂² and Q=D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁D₁₀ = D₄×D₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂²	20	4+	C2^2:1D10	80,39
C₂²⋊₂D₁₀ = C₂×C₅⋊D₄	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂²	40		C2^2:2D10	80,44

Non-split extensions G=N.Q with N=C₂² and Q=D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁D₁₀ = D₄⋊₂D₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂²	40	4-	C2^2.1D10	80,40
C₂².₂D₁₀ = C₄○D₂₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂²	40	2	C2^2.2D10	80,38
C₂².₃D₁₀ = C₄×Dic₅	central extension (φ=1)	80		C2^2.3D10	80,11
C₂².₄D₁₀ = C₁₀.D₄	central extension (φ=1)	80		C2^2.4D10	80,12
C₂².₅D₁₀ = C₄⋊Dic₅	central extension (φ=1)	80		C2^2.5D10	80,13
C₂².₆D₁₀ = D₁₀⋊C₄	central extension (φ=1)	40		C2^2.6D10	80,14
C₂².₇D₁₀ = C₂³.D₅	central extension (φ=1)	40		C2^2.7D10	80,19
C₂².₈D₁₀ = C₂×Dic₁₀	central extension (φ=1)	80		C2^2.8D10	80,35
C₂².₉D₁₀ = C₂×C₄×D₅	central extension (φ=1)	40		C2^2.9D10	80,36
C₂².₁₀D₁₀ = C₂×D₂₀	central extension (φ=1)	40		C2^2.10D10	80,37
C₂².₁₁D₁₀ = C₂²×Dic₅	central extension (φ=1)	80		C2^2.11D10	80,43

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