Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂²xS₃

Direct product G=NxQ with N=C₃ and Q=C₂²xS₃

		d	ρ	Label	ID
S₃xC₂xC₆		24		S3xC2xC6	72,48

Semidirect products G=N:Q with N=C₃ and Q=C₂²xS₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₂²xS₃) = C₂xS₃²	φ: C₂²xS₃/D₆ → C₂ ⊆ Aut C₃	12	4+	C3:1(C2^2xS3)	72,46
C₃:₂(C₂²xS₃) = C₂²xC₃:S₃	φ: C₂²xS₃/C₂xC₆ → C₂ ⊆ Aut C₃	36		C3:2(C2^2xS3)	72,49

Non-split extensions G=N.Q with N=C₃ and Q=C₂²xS₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂²xS₃) = C₂²xD₉	φ: C₂²xS₃/C₂xC₆ → C₂ ⊆ Aut C₃	36		C3.(C2^2xS3)	72,17

Extensions 1→N→G→Q→1 with N=C3 and Q=C22xS3