Extensions 1→N→G→Q→1 with N=C₅×C₁₅ and Q=C₂

Direct product G=N×Q with N=C₅×C₁₅ and Q=C₂

		d	ρ	Label	ID
C₅×C₃₀		150		C5xC30	150,13

Semidirect products G=N:Q with N=C₅×C₁₅ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₅×C₁₅)⋊₁C₂ = C₅⋊D₁₅	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₁₅	75		(C5xC15):1C2	150,12
(C₅×C₁₅)⋊₂C₂ = C₅×D₁₅	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₁₅	30	2	(C5xC15):2C2	150,11
(C₅×C₁₅)⋊₃C₂ = D₅×C₁₅	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₁₅	30	2	(C5xC15):3C2	150,8
(C₅×C₁₅)⋊₄C₂ = C₃×C₅⋊D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₁₅	75		(C5xC15):4C2	150,9
(C₅×C₁₅)⋊₅C₂ = S₃×C₅²	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₁₅	75		(C5xC15):5C2	150,10

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁