Extensions 1→N→G→Q→1 with N=D₅×C₂×C₁₀ and Q=C₂

Direct product G=N×Q with N=D₅×C₂×C₁₀ and Q=C₂

		d	ρ	Label	ID
D₅×C₂²×C₁₀		80		D5xC2^2xC10	400,219

Semidirect products G=N:Q with N=D₅×C₂×C₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₂×C₁₀)⋊₁C₂ = C₂×C₅²⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂×C₁₀	80		(D5xC2xC10):1C2	400,176
(D₅×C₂×C₁₀)⋊₂C₂ = C₂×C₅⋊D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂×C₁₀	40		(D5xC2xC10):2C2	400,177
(D₅×C₂×C₁₀)⋊₃C₂ = D₅×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂×C₁₀	40	4	(D5xC2xC10):3C2	400,179
(D₅×C₂×C₁₀)⋊₄C₂ = C₁₀×D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂×C₁₀	80		(D5xC2xC10):4C2	400,183
(D₅×C₂×C₁₀)⋊₅C₂ = C₅×D₄×D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂×C₁₀	40	4	(D5xC2xC10):5C2	400,185
(D₅×C₂×C₁₀)⋊₆C₂ = C₁₀×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂×C₁₀	40		(D5xC2xC10):6C2	400,190
(D₅×C₂×C₁₀)⋊₇C₂ = C₂²×D₅²	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂×C₁₀	40		(D5xC2xC10):7C2	400,218

Non-split extensions G=N.Q with N=D₅×C₂×C₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₂×C₁₀).₁C₂ = D₁₀⋊Dic₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂×C₁₀	80		(D5xC2xC10).1C2	400,72
(D₅×C₂×C₁₀).₂C₂ = C₅×D₁₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂×C₁₀	80		(D5xC2xC10).2C2	400,86
(D₅×C₂×C₁₀).₃C₂ = C₂×D₅×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂×C₁₀	80		(D5xC2xC10).3C2	400,172
(D₅×C₂×C₁₀).₄C₂ = C₅×C₂²⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂×C₁₀	40	4	(D5xC2xC10).4C2	400,141
(D₅×C₂×C₁₀).₅C₂ = D₁₀.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂×C₁₀	40	4	(D5xC2xC10).5C2	400,148
(D₅×C₂×C₁₀).₆C₂ = F₅×C₂×C₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂×C₁₀	80		(D5xC2xC10).6C2	400,214
(D₅×C₂×C₁₀).₇C₂ = C₂²×D₅.D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂×C₁₀	80		(D5xC2xC10).7C2	400,215
(D₅×C₂×C₁₀).₈C₂ = D₅×C₂×C₂₀	φ: trivial image	80		(D5xC2xC10).8C2	400,182

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