Extensions 1→N→G→Q→1 with N=D₄.D₅ and Q=C₂

Direct product G=N×Q with N=D₄.D₅ and Q=C₂

		d	ρ	Label	ID
C₂×D₄.D₅		80		C2xD4.D5	160,154

Semidirect products G=N:Q with N=D₄.D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.D₅⋊₁C₂ = D₈⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out D₄.D₅	40	4	D4.D5:1C2	160,132
D₄.D₅⋊₂C₂ = D₈⋊₃D₅	φ: C₂/C₁ → C₂ ⊆ Out D₄.D₅	80	4-	D4.D5:2C2	160,133
D₄.D₅⋊₃C₂ = D₅×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄.D₅	40	4	D4.D5:3C2	160,134
D₄.D₅⋊₄C₂ = SD₁₆⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out D₄.D₅	80	4-	D4.D5:4C2	160,136
D₄.D₅⋊₅C₂ = D₄.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄.D₅	40	4	D4.D5:5C2	160,153
D₄.D₅⋊₆C₂ = D₄.₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄.D₅	80	4-	D4.D5:6C2	160,172
D₄.D₅⋊₇C₂ = D₄.₈D₁₀	φ: trivial image	80	4	D4.D5:7C2	160,171

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁