Extensions 1→N→G→Q→1 with N=C₂×C₂₀ and Q=D₅

Direct product G=N×Q with N=C₂×C₂₀ and Q=D₅

		d	ρ	Label	ID
D₅×C₂×C₂₀		80		D5xC2xC20	400,182

Semidirect products G=N:Q with N=C₂×C₂₀ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₂₀)⋊₁D₅ = C₅×D₁₀⋊C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20):1D5	400,86
(C₂×C₂₀)⋊₂D₅ = C₁₀.₁₁D₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₀	200		(C2xC20):2D5	400,102
(C₂×C₂₀)⋊₃D₅ = C₂×C₂₀⋊D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₀	200		(C2xC20):3D5	400,193
(C₂×C₂₀)⋊₄D₅ = C₂₀.₅₀D₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₀	200		(C2xC20):4D5	400,194
(C₂×C₂₀)⋊₅D₅ = C₂×C₄×C₅⋊D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₀	200		(C2xC20):5D5	400,192
(C₂×C₂₀)⋊₆D₅ = C₁₀×D₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20):6D5	400,183
(C₂×C₂₀)⋊₇D₅ = C₅×C₄○D₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₀	40	2	(C2xC20):7D5	400,184

Non-split extensions G=N.Q with N=C₂×C₂₀ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₂₀).₁D₅ = C₅₀.D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₀	400		(C2xC20).1D5	400,12
(C₂×C₂₀).₂D₅ = D₅₀⋊C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₀	200		(C2xC20).2D5	400,14
(C₂×C₂₀).₃D₅ = C₅×C₁₀.D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).3D5	400,84
(C₂×C₂₀).₄D₅ = C₁₀².₂₂C₂²	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₀	400		(C2xC20).4D5	400,100
(C₂×C₂₀).₅D₅ = C₄⋊Dic₂₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₀	400		(C2xC20).5D5	400,13
(C₂×C₂₀).₆D₅ = C₂×Dic₅₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₀	400		(C2xC20).6D5	400,35
(C₂×C₂₀).₇D₅ = C₂×D₁₀₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₀	200		(C2xC20).7D5	400,37
(C₂×C₂₀).₈D₅ = C₂₀⋊₃Dic₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₀	400		(C2xC20).8D5	400,101
(C₂×C₂₀).₉D₅ = C₂×C₅²⋊₄Q₈	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₀	400		(C2xC20).9D5	400,191
(C₂×C₂₀).₁₀D₅ = C₄.Dic₂₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₀	200	2	(C2xC20).10D5	400,10
(C₂×C₂₀).₁₁D₅ = D₁₀₀⋊₅C₂	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₀	200	2	(C2xC20).11D5	400,38
(C₂×C₂₀).₁₂D₅ = C₂₀.₅₉D₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₀	200		(C2xC20).12D5	400,98
(C₂×C₂₀).₁₃D₅ = C₂×C₂₅⋊₂C₈	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₀	400		(C2xC20).13D5	400,9
(C₂×C₂₀).₁₄D₅ = C₄×Dic₂₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₀	400		(C2xC20).14D5	400,11
(C₂×C₂₀).₁₅D₅ = C₂×C₄×D₂₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₀	200		(C2xC20).15D5	400,36
(C₂×C₂₀).₁₆D₅ = C₂×C₅²⋊₇C₈	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₀	400		(C2xC20).16D5	400,97
(C₂×C₂₀).₁₇D₅ = C₄×C₅²⋊₆C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₀	400		(C2xC20).17D5	400,99
(C₂×C₂₀).₁₈D₅ = C₅×C₄.Dic₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₀	40	2	(C2xC20).18D5	400,82
(C₂×C₂₀).₁₉D₅ = C₅×C₄⋊Dic₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).19D5	400,85
(C₂×C₂₀).₂₀D₅ = C₁₀×Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).20D5	400,181
(C₂×C₂₀).₂₁D₅ = C₁₀×C₅⋊₂C₈	central extension (φ=1)	80		(C2xC20).21D5	400,81
(C₂×C₂₀).₂₂D₅ = Dic₅×C₂₀	central extension (φ=1)	80		(C2xC20).22D5	400,83

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Extensions 1→N→G→Q→1 with N=C2×C20 and Q=D5

Extensions 1→N→G→Q→1 with N=C₂×C₂₀ and Q=D₅