Extensions 1→N→G→Q→1 with N=C₅ and Q=C₅×Dic₃

Direct product G=N×Q with N=C₅ and Q=C₅×Dic₃

		d	ρ	Label	ID
Dic₃×C₅²		300		Dic3xC5^2	300,18

Semidirect products G=N:Q with N=C₅ and Q=C₅×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₅×Dic₃) = C₅×C₃⋊F₅	φ: C₅×Dic₃/C₁₅ → C₄ ⊆ Aut C₅	60	4	C5:(C5xDic3)	300,32
C₅⋊₂(C₅×Dic₃) = C₅×Dic₁₅	φ: C₅×Dic₃/C₃₀ → C₂ ⊆ Aut C₅	60	2	C5:2(C5xDic3)	300,19

Non-split extensions G=N.Q with N=C₅ and Q=C₅×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₅×Dic₃) = Dic₃×C₂₅	central extension (φ=1)	300	2	C5.(C5xDic3)	300,1

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Extensions 1→N→G→Q→1 with N=C5 and Q=C5×Dic3