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

Direct product G=N×Q with N=C₁₀ and Q=C₃⋊S₃

		d	ρ	Label	ID
C₁₀×C₃⋊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) = C₂×C₃⋊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) = C₅×C₃⋊Dic₃	central extension (φ=1)	180		C10.2(C3:S3)	180,16

⋊

ℤ

𝔽

○

≀

ℚ

◁

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