Extensions 1→N→G→Q→1 with N=C₂²×C₂₀ and Q=C₂

Direct product G=N×Q with N=C₂²×C₂₀ and Q=C₂

		d	ρ	Label	ID
C₂³×C₂₀		160		C2^3xC20	160,228

Semidirect products G=N:Q with N=C₂²×C₂₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₂₀)⋊₁C₂ = C₂×D₁₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₀	80		(C2^2xC20):1C2	160,148
(C₂²×C₂₀)⋊₂C₂ = C₂³.₂₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₀	80		(C2^2xC20):2C2	160,150
(C₂²×C₂₀)⋊₃C₂ = C₁₀×C₂²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₀	80		(C2^2xC20):3C2	160,176
(C₂²×C₂₀)⋊₄C₂ = D₄×C₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₀	80		(C2^2xC20):4C2	160,179
(C₂²×C₂₀)⋊₅C₂ = C₅×C₂².D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₀	80		(C2^2xC20):5C2	160,184
(C₂²×C₂₀)⋊₆C₂ = C₂₀⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₀	80		(C2^2xC20):6C2	160,151
(C₂²×C₂₀)⋊₇C₂ = C₂²×D₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₀	80		(C2^2xC20):7C2	160,215
(C₂²×C₂₀)⋊₈C₂ = C₂×C₄○D₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₀	80		(C2^2xC20):8C2	160,216
(C₂²×C₂₀)⋊₉C₂ = C₄×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₀	80		(C2^2xC20):9C2	160,149
(C₂²×C₂₀)⋊₁₀C₂ = D₅×C₂²×C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₀	80		(C2^2xC20):10C2	160,214
(C₂²×C₂₀)⋊₁₁C₂ = C₅×C₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₀	80		(C2^2xC20):11C2	160,182
(C₂²×C₂₀)⋊₁₂C₂ = D₄×C₂×C₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₀	80		(C2^2xC20):12C2	160,229
(C₂²×C₂₀)⋊₁₃C₂ = C₁₀×C₄○D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₀	80		(C2^2xC20):13C2	160,231

Non-split extensions G=N.Q with N=C₂²×C₂₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₂₀).₁C₂ = C₁₀.₁₀C₄²	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₀	160		(C2^2xC20).1C2	160,38
(C₂²×C₂₀).₂C₂ = C₅×C₂.C₄²	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₀	160		(C2^2xC20).2C2	160,45
(C₂²×C₂₀).₃C₂ = C₅×C₂²⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₀	80		(C2^2xC20).3C2	160,48
(C₂²×C₂₀).₄C₂ = C₂×C₁₀.D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₀	160		(C2^2xC20).4C2	160,144
(C₂²×C₂₀).₅C₂ = C₁₀×C₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₀	160		(C2^2xC20).5C2	160,177
(C₂²×C₂₀).₆C₂ = C₂₀.₄₈D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₀	80		(C2^2xC20).6C2	160,145
(C₂²×C₂₀).₇C₂ = C₂×C₄⋊Dic₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₀	160		(C2^2xC20).7C2	160,146
(C₂²×C₂₀).₈C₂ = C₂²×Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₀	160		(C2^2xC20).8C2	160,213
(C₂²×C₂₀).₉C₂ = C₂×C₄.Dic₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₀	80		(C2^2xC20).9C2	160,142
(C₂²×C₂₀).₁₀C₂ = C₂³.₂₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₀	80		(C2^2xC20).10C2	160,147
(C₂²×C₂₀).₁₁C₂ = C₂₀.₅₅D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₀	80		(C2^2xC20).11C2	160,37
(C₂²×C₂₀).₁₂C₂ = C₂²×C₅⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₀	160		(C2^2xC20).12C2	160,141
(C₂²×C₂₀).₁₃C₂ = C₂×C₄×Dic₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₀	160		(C2^2xC20).13C2	160,143
(C₂²×C₂₀).₁₄C₂ = C₅×C₄²⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₀	80		(C2^2xC20).14C2	160,178
(C₂²×C₂₀).₁₅C₂ = C₅×C₂²⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₀	80		(C2^2xC20).15C2	160,183
(C₂²×C₂₀).₁₆C₂ = C₁₀×M₄(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₀	80		(C2^2xC20).16C2	160,191
(C₂²×C₂₀).₁₇C₂ = Q₈×C₂×C₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₀	160		(C2^2xC20).17C2	160,230

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