Extensions 1→N→G→Q→1 with N=C₅ and Q=C₃xDic₅

Direct product G=NxQ with N=C₅ and Q=C₃xDic₅

		d	ρ	Label	ID
C₁₅xDic₅		60	2	C15xDic5	300,16

Semidirect products G=N:Q with N=C₅ and Q=C₃xDic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:(C₃xDic₅) = C₃xD₅.D₅	φ: C₃xDic₅/C₁₅ → C₄ ⊆ Aut C₅	60	4	C5:(C3xDic5)	300,29
C₅:₂(C₃xDic₅) = C₃xC₅²:₆C₄	φ: C₃xDic₅/C₃₀ → C₂ ⊆ Aut C₅	300		C5:2(C3xDic5)	300,17

Non-split extensions G=N.Q with N=C₅ and Q=C₃xDic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₃xDic₅) = C₃xDic₂₅	φ: C₃xDic₅/C₃₀ → C₂ ⊆ Aut C₅	300	2	C5.(C3xDic5)	300,2

Extensions 1→N→G→Q→1 with N=C5 and Q=C3xDic5