Extensions 1→N→G→Q→1 with N=C₄⋊Dic₅ and Q=C₂

Direct product G=N×Q with N=C₄⋊Dic₅ and Q=C₂

		d	ρ	Label	ID
C₂×C₄⋊Dic₅		160		C2xC4:Dic5	160,146

Semidirect products G=N:Q with N=C₄⋊Dic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊Dic₅⋊₁C₂ = D₂₀⋊₅C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₅	80		C4:Dic5:1C2	160,28
C₄⋊Dic₅⋊₂C₂ = Dic₅.₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₅	80		C4:Dic5:2C2	160,99
C₄⋊Dic₅⋊₃C₂ = C₂³.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₅	80		C4:Dic5:3C2	160,100
C₄⋊Dic₅⋊₄C₂ = D₁₀.₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₅	80		C4:Dic5:4C2	160,104
C₄⋊Dic₅⋊₅C₂ = C₂².D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₅	80		C4:Dic5:5C2	160,107
C₄⋊Dic₅⋊₆C₂ = D₁₀⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₅	80		C4:Dic5:6C2	160,118
C₄⋊Dic₅⋊₇C₂ = C₄⋊C₄⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₅	80		C4:Dic5:7C2	160,119
C₄⋊Dic₅⋊₈C₂ = C₂₀.₄₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₅	80		C4:Dic5:8C2	160,145
C₄⋊Dic₅⋊₉C₂ = C₂₀⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₅	80		C4:Dic5:9C2	160,151
C₄⋊Dic₅⋊₁₀C₂ = D₄⋊Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₅	80		C4:Dic5:10C2	160,39
C₄⋊Dic₅⋊₁₁C₂ = D₅×C₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₅	80		C4:Dic5:11C2	160,112
C₄⋊Dic₅⋊₁₂C₂ = C₄⋊C₄⋊₇D₅	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₅	80		C4:Dic5:12C2	160,113
C₄⋊Dic₅⋊₁₃C₂ = D₄×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₅	80		C4:Dic5:13C2	160,155
C₄⋊Dic₅⋊₁₄C₂ = C₂₀⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₅	80		C4:Dic5:14C2	160,159
C₄⋊Dic₅⋊₁₅C₂ = D₁₀⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₅	80		C4:Dic5:15C2	160,167
C₄⋊Dic₅⋊₁₆C₂ = C₄×D₂₀	φ: trivial image	80		C4:Dic5:16C2	160,94
C₄⋊Dic₅⋊₁₇C₂ = C₂³.₂₁D₁₀	φ: trivial image	80		C4:Dic5:17C2	160,147

Non-split extensions G=N.Q with N=C₄⋊Dic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊Dic₅.₁C₂ = C₂₀.₄₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₅	160		C4:Dic5.1C2	160,23
C₄⋊Dic₅.₂C₂ = C₄₀⋊₆C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₅	160		C4:Dic5.2C2	160,24
C₄⋊Dic₅.₃C₂ = C₄₀⋊₅C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₅	160		C4:Dic5.3C2	160,25
C₄⋊Dic₅.₄C₂ = C₂₀⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₅	160		C4:Dic5.4C2	160,90
C₄⋊Dic₅.₅C₂ = C₂₀.₆Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₅	160		C4:Dic5.5C2	160,91
C₄⋊Dic₅.₆C₂ = Dic₅.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₅	160		C4:Dic5.6C2	160,110
C₄⋊Dic₅.₇C₂ = C₄.Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₅	160		C4:Dic5.7C2	160,111
C₄⋊Dic₅.₈C₂ = C₁₀.D₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₅	160		C4:Dic5.8C2	160,14
C₄⋊Dic₅.₉C₂ = C₂₀.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₅	160		C4:Dic5.9C2	160,15
C₄⋊Dic₅.₁₀C₂ = Q₈⋊Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₅	160		C4:Dic5.10C2	160,42
C₄⋊Dic₅.₁₁C₂ = C₂₀⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₅	160		C4:Dic5.11C2	160,109
C₄⋊Dic₅.₁₂C₂ = Q₈×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₅	160		C4:Dic5.12C2	160,166
C₄⋊Dic₅.₁₃C₂ = C₄×Dic₁₀	φ: trivial image	160		C4:Dic5.13C2	160,89

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