Extensions 1→N→G→Q→1 with N=C₄ and Q=Dic₁₀

Direct product G=N×Q with N=C₄ and Q=Dic₁₀

		d	ρ	Label	ID
C₄×Dic₁₀		160		C4xDic10	160,89

Semidirect products G=N:Q with N=C₄ and Q=Dic₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁Dic₁₀ = C₂₀⋊Q₈	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₄	160		C4:1Dic10	160,109
C₄⋊₂Dic₁₀ = C₂₀⋊₂Q₈	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₄	160		C4:2Dic10	160,90

Non-split extensions G=N.Q with N=C₄ and Q=Dic₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁Dic₁₀ = C₁₀.D₈	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₄	160		C4.1Dic10	160,14
C₄.₂Dic₁₀ = C₂₀.Q₈	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₄	160		C4.2Dic10	160,15
C₄.₃Dic₁₀ = C₄.Dic₁₀	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₄	160		C4.3Dic10	160,111
C₄.₄Dic₁₀ = C₄₀⋊₆C₄	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₄	160		C4.4Dic10	160,24
C₄.₅Dic₁₀ = C₄₀⋊₅C₄	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₄	160		C4.5Dic10	160,25
C₄.₆Dic₁₀ = C₂₀.₆Q₈	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₄	160		C4.6Dic10	160,91
C₄.₇Dic₁₀ = C₂₀⋊₃C₈	central extension (φ=1)	160		C4.7Dic10	160,11
C₄.₈Dic₁₀ = C₂₀.₈Q₈	central extension (φ=1)	160		C4.8Dic10	160,21

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