Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₃:S₃

Direct product G=NxQ with N=C₁₀ and Q=C₃:S₃

		d	ρ	Label	ID
C₁₀xC₃:S₃		90		C10xC3:S3	180,35

Semidirect products G=N:Q with N=C₁₀ and Q=C₃:S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀:(C₃:S₃) = C₂xC₃:D₁₅	φ: C₃:S₃/C₃² → C₂ ⊆ Aut C₁₀	90		C10:(C3:S3)	180,36

Non-split extensions G=N.Q with N=C₁₀ and Q=C₃:S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.(C₃:S₃) = C₃:Dic₁₅	φ: C₃:S₃/C₃² → C₂ ⊆ Aut C₁₀	180		C10.(C3:S3)	180,17
C₁₀.₂(C₃:S₃) = C₅xC₃:Dic₃	central extension (φ=1)	180		C10.2(C3:S3)	180,16

Extensions 1→N→G→Q→1 with N=C10 and Q=C3:S3