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

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

		d	ρ	Label	ID
C₅²×C₁₅		375		C5^2xC15	375,7

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₅×C₁₅)⋊C₅ = C₃×He₅	φ: C₅/C₁ → C₅ ⊆ Aut C₅×C₁₅	75	5	(C5xC15):C5	375,4

Non-split extensions G=N.Q with N=C₅×C₁₅ and Q=C₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₅×C₁₅).C₅ = C₃×5_-¹⁺²	φ: C₅/C₁ → C₅ ⊆ Aut C₅×C₁₅	75	5	(C5xC15).C5	375,5

⋊

ℤ

𝔽

○

≀

ℚ

◁

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