Extensions 1→N→G→Q→1 with N=C₂² and Q=Dic₂₀

Direct product G=N×Q with N=C₂² and Q=Dic₂₀

		d	ρ	Label	ID
C₂²×Dic₂₀		320		C2^2xDic20	320,1414

Semidirect products G=N:Q with N=C₂² and Q=Dic₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁Dic₂₀ = C₄₀.₈₂D₄	φ: Dic₂₀/C₄₀ → C₂ ⊆ Aut C₂²	160		C2^2:1Dic20	320,743
C₂²⋊₂Dic₂₀ = C₂²⋊Dic₂₀	φ: Dic₂₀/Dic₁₀ → C₂ ⊆ Aut C₂²	160		C2^2:2Dic20	320,366

Non-split extensions G=N.Q with N=C₂² and Q=Dic₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁Dic₂₀ = C₈₀.₆C₄	φ: Dic₂₀/C₄₀ → C₂ ⊆ Aut C₂²	160	2	C2^2.1Dic20	320,64
C₂².₂Dic₂₀ = C₂³.₃₀D₂₀	φ: Dic₂₀/Dic₁₀ → C₂ ⊆ Aut C₂²	80		C2^2.2Dic20	320,25
C₂².₃Dic₂₀ = C₂³.₃₅D₂₀	φ: Dic₂₀/Dic₁₀ → C₂ ⊆ Aut C₂²	160		C2^2.3Dic20	320,349
C₂².₄Dic₂₀ = C₂₀.₃₉C₄²	central extension (φ=1)	320		C2^2.4Dic20	320,109
C₂².₅Dic₂₀ = C₂×C₂₀.₄₄D₄	central extension (φ=1)	320		C2^2.5Dic20	320,730
C₂².₆Dic₂₀ = C₂×C₄₀⋊₅C₄	central extension (φ=1)	320		C2^2.6Dic20	320,732

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