Extensions 1→N→G→Q→1 with N=C₂² and Q=S₃

Direct product G=NxQ with N=C₂² and Q=S₃

		d	ρ	Label	ID
C₂²xS₃		12		C2^2xS3	24,14

Semidirect products G=N:Q with N=C₂² and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:S₃ = S₄	φ: S₃/C₁ → S₃ ⊆ Aut C₂²	4	3+	C2^2:S3	24,12
C₂²:₂S₃ = C₃:D₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂²	12	2	C2^2:2S3	24,8

Non-split extensions G=N.Q with N=C₂² and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².S₃ = C₂xDic₃	central extension (φ=1)	24		C2^2.S3	24,7

Extensions 1→N→G→Q→1 with N=C22 and Q=S3