Extensions 1→N→G→Q→1 with N=C₅ and Q=S₃xD₅

Direct product G=NxQ with N=C₅ and Q=S₃xD₅

		d	ρ	Label	ID
C₅xS₃xD₅		30	4	C5xS3xD5	300,37

Semidirect products G=N:Q with N=C₅ and Q=S₃xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:₁(S₃xD₅) = S₃xC₅:D₅	φ: S₃xD₅/C₅xS₃ → C₂ ⊆ Aut C₅	75		C5:1(S3xD5)	300,38
C₅:₂(S₃xD₅) = D₅xD₁₅	φ: S₃xD₅/C₃xD₅ → C₂ ⊆ Aut C₅	30	4+	C5:2(S3xD5)	300,39
C₅:₃(S₃xD₅) = D₁₅:D₅	φ: S₃xD₅/D₁₅ → C₂ ⊆ Aut C₅	30	4	C5:3(S3xD5)	300,40

Non-split extensions G=N.Q with N=C₅ and Q=S₃xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(S₃xD₅) = S₃xD₂₅	φ: S₃xD₅/C₅xS₃ → C₂ ⊆ Aut C₅	75	4+	C5.(S3xD5)	300,7

Extensions 1→N→G→Q→1 with N=C5 and Q=S3xD5