Extensions 1→N→G→Q→1 with N=C₅ and Q=C₅xC₃:S₃

Direct product G=NxQ with N=C₅ and Q=C₅xC₃:S₃

		d	ρ	Label	ID
C₃:S₃xC₅²		225		C3:S3xC5^2	450,31

Semidirect products G=N:Q with N=C₅ and Q=C₅xC₃:S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:(C₅xC₃:S₃) = C₅xC₃:D₁₅	φ: C₅xC₃:S₃/C₃xC₁₅ → C₂ ⊆ Aut C₅	90		C5:(C5xC3:S3)	450,32

Non-split extensions G=N.Q with N=C₅ and Q=C₅xC₃:S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₅xC₃:S₃) = C₃:S₃xC₂₅	central extension (φ=1)	225		C5.(C5xC3:S3)	450,8

Extensions 1→N→G→Q→1 with N=C5 and Q=C5xC3:S3