Extensions 1→N→G→Q→1 with N=C₃ and Q=S₃≀C₂

Direct product G=N×Q with N=C₃ and Q=S₃≀C₂

		d	ρ	Label	ID
C₃×S₃≀C₂		12	4	C3xS3wrC2	216,157

Semidirect products G=N:Q with N=C₃ and Q=S₃≀C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁S₃≀C₂ = C₃²⋊₂D₁₂	φ: S₃≀C₂/C₃²⋊C₄ → C₂ ⊆ Aut C₃	12	8+	C3:1S3wrC2	216,159
C₃⋊₂S₃≀C₂ = C₃³⋊D₄	φ: S₃≀C₂/S₃² → C₂ ⊆ Aut C₃	12	4	C3:2S3wrC2	216,158

Non-split extensions G=N.Q with N=C₃ and Q=S₃≀C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.S₃≀C₂ = He₃⋊D₄	φ: S₃≀C₂/C₃²⋊C₄ → C₂ ⊆ Aut C₃	18	6+	C3.S3wrC2	216,87

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C3 and Q=S3≀C2