Extensions 1→N→G→Q→1 with N=C₅ and Q=S₃xDic₃

Direct product G=NxQ with N=C₅ and Q=S₃xDic₃

		d	ρ	Label	ID
C₅xS₃xDic₃		120	4	C5xS3xDic3	360,72

Semidirect products G=N:Q with N=C₅ and Q=S₃xDic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:(S₃xDic₃) = S₃xC₃:F₅	φ: S₃xDic₃/C₃xS₃ → C₄ ⊆ Aut C₅	30	8	C5:(S3xDic3)	360,128
C₅:₂(S₃xDic₃) = Dic₃xD₁₅	φ: S₃xDic₃/C₃xDic₃ → C₂ ⊆ Aut C₅	120	4-	C5:2(S3xDic3)	360,77
C₅:₃(S₃xDic₃) = D₃₀.S₃	φ: S₃xDic₃/C₃:Dic₃ → C₂ ⊆ Aut C₅	120	4	C5:3(S3xDic3)	360,84
C₅:₄(S₃xDic₃) = S₃xDic₁₅	φ: S₃xDic₃/S₃xC₆ → C₂ ⊆ Aut C₅	120	4-	C5:4(S3xDic3)	360,78

׿

x

:

Z

F

o

wr

Q

<