Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂²xS₃²

Direct product G=NxQ with N=C₃ and Q=C₂²xS₃²

		d	ρ	Label	ID
S₃²xC₂xC₆		48		S3^2xC2xC6	432,767

Semidirect products G=N:Q with N=C₃ and Q=C₂²xS₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₂²xS₃²) = C₂xS₃³	φ: C₂²xS₃²/C₂xS₃² → C₂ ⊆ Aut C₃	24	8+	C3:1(C2^2xS3^2)	432,759
C₃:₂(C₂²xS₃²) = C₂²xS₃xC₃:S₃	φ: C₂²xS₃²/S₃xC₂xC₆ → C₂ ⊆ Aut C₃	72		C3:2(C2^2xS3^2)	432,768
C₃:₃(C₂²xS₃²) = C₂²xC₃²:₄D₆	φ: C₂²xS₃²/C₂²xC₃:S₃ → C₂ ⊆ Aut C₃	48		C3:3(C2^2xS3^2)	432,769

Non-split extensions G=N.Q with N=C₃ and Q=C₂²xS₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₂²xS₃²) = C₂²xS₃xD₉	φ: C₂²xS₃²/S₃xC₂xC₆ → C₂ ⊆ Aut C₃	72		C3.1(C2^2xS3^2)	432,544
C₃.₂(C₂²xS₃²) = C₂²xC₃²:D₆	φ: C₂²xS₃²/C₂²xC₃:S₃ → C₂ ⊆ Aut C₃	36		C3.2(C2^2xS3^2)	432,545

Extensions 1→N→G→Q→1 with N=C3 and Q=C22xS32