Extensions 1→N→G→Q→1 with N=C₂² and Q=Dic₁₀

Direct product G=N×Q with N=C₂² and Q=Dic₁₀

		d	ρ	Label	ID
C₂²×Dic₁₀		160		C2^2xDic10	160,213

Semidirect products G=N:Q with N=C₂² and Q=Dic₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁Dic₁₀ = Dic₅.₁₄D₄	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₂²	80		C2^2:1Dic10	160,99
C₂²⋊₂Dic₁₀ = C₂₀.₄₈D₄	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₂²	80		C2^2:2Dic10	160,145

Non-split extensions G=N.Q with N=C₂² and Q=Dic₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁Dic₁₀ = C₂₀.₅₃D₄	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₂²	80	4	C2^2.1Dic10	160,29
C₂².₂Dic₁₀ = C₄₀.₆C₄	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₂²	80	2	C2^2.2Dic10	160,26
C₂².₃Dic₁₀ = C₁₀.₁₀C₄²	central extension (φ=1)	160		C2^2.3Dic10	160,38
C₂².₄Dic₁₀ = C₂×C₁₀.D₄	central extension (φ=1)	160		C2^2.4Dic10	160,144
C₂².₅Dic₁₀ = C₂×C₄⋊Dic₅	central extension (φ=1)	160		C2^2.5Dic10	160,146

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