Extensions 1→N→G→Q→1 with N=Dic₅⋊₂D₅ and Q=C₂

Direct product G=N×Q with N=Dic₅⋊₂D₅ and Q=C₂

		d	ρ	Label	ID
C₂×Dic₅⋊₂D₅		40		C2xDic5:2D5	400,175

Semidirect products G=N:Q with N=Dic₅⋊₂D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅⋊₂D₅⋊₁C₂ = Dic₁₀⋊₅D₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₂D₅	40	4+	Dic5:2D5:1C2	400,168
Dic₅⋊₂D₅⋊₂C₂ = Dic₅.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₂D₅	40	4	Dic5:2D5:2C2	400,173
Dic₅⋊₂D₅⋊₃C₂ = D₁₀⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₂D₅	20	4+	Dic5:2D5:3C2	400,180
Dic₅⋊₂D₅⋊₄C₂ = D₅²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₂D₅	20	4+	Dic5:2D5:4C2	400,129
Dic₅⋊₂D₅⋊₅C₂ = C₄×D₅²	φ: trivial image	40	4	Dic5:2D5:5C2	400,169

Non-split extensions G=N.Q with N=Dic₅⋊₂D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅⋊₂D₅.₁C₂ = Dic₁₀⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₂D₅	40	4	Dic5:2D5.1C2	400,166
Dic₅⋊₂D₅.₂C₂ = C₂.D₅≀C₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₂D₅	20	4	Dic5:2D5.2C2	400,130
Dic₅⋊₂D₅.₃C₂ = Dic₅.F₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₂D₅	40	8+	Dic5:2D5.3C2	400,123
Dic₅⋊₂D₅.₄C₂ = Dic₅⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₂D₅	20	8+	Dic5:2D5.4C2	400,126
Dic₅⋊₂D₅.₅C₂ = Dic₅.₄F₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₂D₅	40	8+	Dic5:2D5.5C2	400,121
Dic₅⋊₂D₅.₆C₂ = C₅²⋊₃C₄²	φ: C₂/C₁ → C₂ ⊆ Out Dic₅⋊₂D₅	20	8+	Dic5:2D5.6C2	400,124

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