Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂xDic₃

Direct product G=NxQ with N=C₅ and Q=C₂xDic₃

		d	ρ	Label	ID
C₁₀xDic₃		120		C10xDic3	120,24

Semidirect products G=N:Q with N=C₅ and Q=C₂xDic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:(C₂xDic₃) = C₂xC₃:F₅	φ: C₂xDic₃/C₆ → C₄ ⊆ Aut C₅	30	4	C5:(C2xDic3)	120,41
C₅:₂(C₂xDic₃) = D₅xDic₃	φ: C₂xDic₃/Dic₃ → C₂ ⊆ Aut C₅	60	4-	C5:2(C2xDic3)	120,8
C₅:₃(C₂xDic₃) = C₂xDic₁₅	φ: C₂xDic₃/C₂xC₆ → C₂ ⊆ Aut C₅	120		C5:3(C2xDic3)	120,29

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