Extensions 1→N→G→Q→1 with N=C₁₀×C₂₀ and Q=C₂

Direct product G=N×Q with N=C₁₀×C₂₀ and Q=C₂

		d	ρ	Label	ID
C₂×C₁₀×C₂₀		400		C2xC10xC20	400,201

Semidirect products G=N:Q with N=C₁₀×C₂₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₁₀×C₂₀)⋊₁C₂ = C₅×D₁₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀×C₂₀	80		(C10xC20):1C2	400,86
(C₁₀×C₂₀)⋊₂C₂ = C₁₀.₁₁D₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀×C₂₀	200		(C10xC20):2C2	400,102
(C₁₀×C₂₀)⋊₃C₂ = C₂²⋊C₄×C₅²	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀×C₂₀	200		(C10xC20):3C2	400,109
(C₁₀×C₂₀)⋊₄C₂ = C₂×C₂₀⋊D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀×C₂₀	200		(C10xC20):4C2	400,193
(C₁₀×C₂₀)⋊₅C₂ = C₂₀.₅₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀×C₂₀	200		(C10xC20):5C2	400,194
(C₁₀×C₂₀)⋊₆C₂ = C₅×C₄○D₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀×C₂₀	40	2	(C10xC20):6C2	400,184
(C₁₀×C₂₀)⋊₇C₂ = C₁₀×D₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀×C₂₀	80		(C10xC20):7C2	400,183
(C₁₀×C₂₀)⋊₈C₂ = D₅×C₂×C₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀×C₂₀	80		(C10xC20):8C2	400,182
(C₁₀×C₂₀)⋊₉C₂ = C₂×C₄×C₅⋊D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀×C₂₀	200		(C10xC20):9C2	400,192
(C₁₀×C₂₀)⋊₁₀C₂ = D₄×C₅×C₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀×C₂₀	200		(C10xC20):10C2	400,202
(C₁₀×C₂₀)⋊₁₁C₂ = C₄○D₄×C₅²	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀×C₂₀	200		(C10xC20):11C2	400,204

Non-split extensions G=N.Q with N=C₁₀×C₂₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₁₀×C₂₀).₁C₂ = C₅×C₁₀.D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀×C₂₀	80		(C10xC20).1C2	400,84
(C₁₀×C₂₀).₂C₂ = C₁₀².₂₂C₂²	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀×C₂₀	400		(C10xC20).2C2	400,100
(C₁₀×C₂₀).₃C₂ = C₄⋊C₄×C₅²	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀×C₂₀	400		(C10xC20).3C2	400,110
(C₁₀×C₂₀).₄C₂ = C₂₀⋊₃Dic₅	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀×C₂₀	400		(C10xC20).4C2	400,101
(C₁₀×C₂₀).₅C₂ = C₂×C₅²⋊₄Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀×C₂₀	400		(C10xC20).5C2	400,191
(C₁₀×C₂₀).₆C₂ = C₂₀.₅₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀×C₂₀	200		(C10xC20).6C2	400,98
(C₁₀×C₂₀).₇C₂ = C₅×C₄.Dic₅	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀×C₂₀	40	2	(C10xC20).7C2	400,82
(C₁₀×C₂₀).₈C₂ = C₅×C₄⋊Dic₅	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀×C₂₀	80		(C10xC20).8C2	400,85
(C₁₀×C₂₀).₉C₂ = C₁₀×Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀×C₂₀	80		(C10xC20).9C2	400,181
(C₁₀×C₂₀).₁₀C₂ = C₁₀×C₅⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀×C₂₀	80		(C10xC20).10C2	400,81
(C₁₀×C₂₀).₁₁C₂ = Dic₅×C₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀×C₂₀	80		(C10xC20).11C2	400,83
(C₁₀×C₂₀).₁₂C₂ = C₂×C₅²⋊₇C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀×C₂₀	400		(C10xC20).12C2	400,97
(C₁₀×C₂₀).₁₃C₂ = C₄×C₅²⋊₆C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀×C₂₀	400		(C10xC20).13C2	400,99
(C₁₀×C₂₀).₁₄C₂ = M₄(2)×C₅²	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀×C₂₀	200		(C10xC20).14C2	400,112
(C₁₀×C₂₀).₁₅C₂ = Q₈×C₅×C₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₁₀×C₂₀	400		(C10xC20).15C2	400,203

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