Extensions 1→N→G→Q→1 with N=C₅ and Q=C₃×Dic₅

Direct product G=N×Q with N=C₅ and Q=C₃×Dic₅

		d	ρ	Label	ID
C₁₅×Dic₅		60	2	C15xDic5	300,16

Semidirect products G=N:Q with N=C₅ and Q=C₃×Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₃×Dic₅) = C₃×D₅.D₅	φ: C₃×Dic₅/C₁₅ → C₄ ⊆ Aut C₅	60	4	C5:(C3xDic5)	300,29
C₅⋊₂(C₃×Dic₅) = C₃×C₅²⋊₆C₄	φ: C₃×Dic₅/C₃₀ → C₂ ⊆ Aut C₅	300		C5:2(C3xDic5)	300,17

Non-split extensions G=N.Q with N=C₅ and Q=C₃×Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₃×Dic₅) = C₃×Dic₂₅	φ: C₃×Dic₅/C₃₀ → C₂ ⊆ Aut C₅	300	2	C5.(C3xDic5)	300,2

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Extensions 1→N→G→Q→1 with N=C5 and Q=C3×Dic5