Extensions 1→N→G→Q→1 with N=C₅×3_-¹⁺² and Q=C₂

Direct product G=N×Q with N=C₅×3_-¹⁺² and Q=C₂

		d	ρ	Label	ID
C₁₀×3_-¹⁺²		90	3	C10xES-(3,1)	270,22

Semidirect products G=N:Q with N=C₅×3_-¹⁺² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×3_-¹⁺²)⋊₁C₂ = D₄₅⋊C₃	φ: C₂/C₁ → C₂ ⊆ Out C₅×3_-¹⁺²	45	6+	(C5xES-(3,1)):1C2	270,15
(C₅×3_-¹⁺²)⋊₂C₂ = C₅×C₉⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×3_-¹⁺²	45	6	(C5xES-(3,1)):2C2	270,11
(C₅×3_-¹⁺²)⋊₃C₂ = D₅×3_-¹⁺²	φ: C₂/C₁ → C₂ ⊆ Out C₅×3_-¹⁺²	45	6	(C5xES-(3,1)):3C2	270,7

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁