Extensions 1→N→G→Q→1 with N=C₃×D₁₅ and Q=C₂

Direct product G=N×Q with N=C₃×D₁₅ and Q=C₂

		d	ρ	Label	ID
C₆×D₁₅		60	2	C6xD15	180,34

Semidirect products G=N:Q with N=C₃×D₁₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₁₅)⋊₁C₂ = C₃×S₃×D₅	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₁₅	30	4	(C3xD15):1C2	180,26
(C₃×D₁₅)⋊₂C₂ = S₃×D₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₁₅	30	4+	(C3xD15):2C2	180,29
(C₃×D₁₅)⋊₃C₂ = D₁₅⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₁₅	30	4	(C3xD15):3C2	180,30

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁