Extensions 1→N→G→Q→1 with N=C₂₀ and Q=Dic₅

Direct product G=N×Q with N=C₂₀ and Q=Dic₅

		d	ρ	Label	ID
Dic₅×C₂₀		80		Dic5xC20	400,83

Semidirect products G=N:Q with N=C₂₀ and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₀⋊₁Dic₅ = C₂₀⋊₅F₅	φ: Dic₅/C₅ → C₄ ⊆ Aut C₂₀	80	4	C20:1Dic5	400,145
C₂₀⋊₂Dic₅ = C₄×D₅.D₅	φ: Dic₅/C₅ → C₄ ⊆ Aut C₂₀	80	4	C20:2Dic5	400,144
C₂₀⋊₃Dic₅ = C₂₀⋊₃Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂₀	400		C20:3Dic5	400,101
C₂₀⋊₄Dic₅ = C₄×C₅²⋊₆C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂₀	400		C20:4Dic5	400,99
C₂₀⋊₅Dic₅ = C₅×C₄⋊Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂₀	80		C20:5Dic5	400,85

Non-split extensions G=N.Q with N=C₂₀ and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₀.₁Dic₅ = C₂₀.₁₂F₅	φ: Dic₅/C₅ → C₄ ⊆ Aut C₂₀	80	4	C20.1Dic5	400,143
C₂₀.₂Dic₅ = C₅²⋊₃C₁₆	φ: Dic₅/C₅ → C₄ ⊆ Aut C₂₀	80	4	C20.2Dic5	400,57
C₂₀.₃Dic₅ = C₂₀.₁₄F₅	φ: Dic₅/C₅ → C₄ ⊆ Aut C₂₀	80	4	C20.3Dic5	400,142
C₂₀.₄Dic₅ = C₄.Dic₂₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂₀	200	2	C20.4Dic5	400,10
C₂₀.₅Dic₅ = C₄⋊Dic₂₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂₀	400		C20.5Dic5	400,13
C₂₀.₆Dic₅ = C₂₀.₅₉D₁₀	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂₀	200		C20.6Dic5	400,98
C₂₀.₇Dic₅ = C₂₅⋊₂C₁₆	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂₀	400	2	C20.7Dic5	400,1
C₂₀.₈Dic₅ = C₂×C₂₅⋊₂C₈	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂₀	400		C20.8Dic5	400,9
C₂₀.₉Dic₅ = C₄×Dic₂₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂₀	400		C20.9Dic5	400,11
C₂₀.₁₀Dic₅ = C₅²⋊₇C₁₆	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂₀	400		C20.10Dic5	400,50
C₂₀.₁₁Dic₅ = C₂×C₅²⋊₇C₈	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂₀	400		C20.11Dic5	400,97
C₂₀.₁₂Dic₅ = C₅×C₄.Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂₀	40	2	C20.12Dic5	400,82
C₂₀.₁₃Dic₅ = C₅×C₅⋊₂C₁₆	central extension (φ=1)	80	2	C20.13Dic5	400,49
C₂₀.₁₄Dic₅ = C₁₀×C₅⋊₂C₈	central extension (φ=1)	80		C20.14Dic5	400,81

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