Extensions 1→N→G→Q→1 with N=C₂³⋊Dic₅ and Q=C₂

Direct product G=N×Q with N=C₂³⋊Dic₅ and Q=C₂

		d	ρ	Label	ID
C₂×C₂³⋊Dic₅		80		C2xC2^3:Dic5	320,846

Semidirect products G=N:Q with N=C₂³⋊Dic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³⋊Dic₅⋊₁C₂ = C₂³.₂D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊Dic₅	40	8+	C2^3:Dic5:1C2	320,32
C₂³⋊Dic₅⋊₂C₂ = C₂⁴⋊₂Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊Dic₅	40	4	C2^3:Dic5:2C2	320,94
C₂³⋊Dic₅⋊₃C₂ = C₂³⋊C₄⋊₅D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊Dic₅	80	8-	C2^3:Dic5:3C2	320,367
C₂³⋊Dic₅⋊₄C₂ = D₅×C₂³⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊Dic₅	40	8+	C2^3:Dic5:4C2	320,370
C₂³⋊Dic₅⋊₅C₂ = C₂⁴⋊₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊Dic₅	40	4	C2^3:Dic5:5C2	320,659
C₂³⋊Dic₅⋊₆C₂ = C₂²⋊C₄⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊Dic₅	80	4	C2^3:Dic5:6C2	320,680
C₂³⋊Dic₅⋊₇C₂ = C₂³.₃D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊Dic₅	40	8+	C2^3:Dic5:7C2	320,33
C₂³⋊Dic₅⋊₈C₂ = C₄²⋊₃Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊Dic₅	40	4	C2^3:Dic5:8C2	320,103
C₂³⋊Dic₅⋊₉C₂ = 2₊¹⁺⁴.₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊Dic₅	80	8-	C2^3:Dic5:9C2	320,870
C₂³⋊Dic₅⋊₁₀C₂ = 2₊¹⁺⁴⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊Dic₅	40	8+	C2^3:Dic5:10C2	320,871
C₂³⋊Dic₅⋊₁₁C₂ = (D₄×C₁₀)⋊₂₂C₄	φ: trivial image	80	4	C2^3:Dic5:11C2	320,867

Non-split extensions G=N.Q with N=C₂³⋊Dic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³⋊Dic₅.₁C₂ = C₂³.D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊Dic₅	80	8-	C2^3:Dic5.1C2	320,31
C₂³⋊Dic₅.₂C₂ = (C₂²×C₂₀)⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊Dic₅	80	4	C2^3:Dic5.2C2	320,97
C₂³⋊Dic₅.₃C₂ = C₂³.₄D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊Dic₅	80	8-	C2^3:Dic5.3C2	320,34
C₂³⋊Dic₅.₄C₂ = C₄²⋊Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊Dic₅	80	4	C2^3:Dic5.4C2	320,99

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