Extensions 1→N→G→Q→1 with N=C₂²xS₃ and Q=C₃xS₃

Direct product G=NxQ with N=C₂²xS₃ and Q=C₃xS₃

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

Semidirect products G=N:Q with N=C₂²xS₃ and Q=C₃xS₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²xS₃):(C₃xS₃) = C₃xS₃xS₄	φ: C₃xS₃/C₃ → S₃ ⊆ Out C₂²xS₃	24	6	(C2^2xS3):(C3xS3)	432,745
(C₂²xS₃):₂(C₃xS₃) = S₃²xA₄	φ: C₃xS₃/S₃ → C₃ ⊆ Out C₂²xS₃	24	12+	(C2^2xS3):2(C3xS3)	432,749
(C₂²xS₃):₃(C₃xS₃) = C₆xD₆:S₃	φ: C₃xS₃/C₃² → C₂ ⊆ Out C₂²xS₃	48		(C2^2xS3):3(C3xS3)	432,655
(C₂²xS₃):₄(C₃xS₃) = C₆xC₃:D₁₂	φ: C₃xS₃/C₃² → C₂ ⊆ Out C₂²xS₃	48		(C2^2xS3):4(C3xS3)	432,656
(C₂²xS₃):₅(C₃xS₃) = C₃xS₃xC₃:D₄	φ: C₃xS₃/C₃² → C₂ ⊆ Out C₂²xS₃	24	4	(C2^2xS3):5(C3xS3)	432,658

Non-split extensions G=N.Q with N=C₂²xS₃ and Q=C₃xS₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²xS₃).(C₃xS₃) = C₃xD₆:Dic₃	φ: C₃xS₃/C₃² → C₂ ⊆ Out C₂²xS₃	48		(C2^2xS3).(C3xS3)	432,426
(C₂²xS₃).₂(C₃xS₃) = S₃xC₆xDic₃	φ: trivial image	48		(C2^2xS3).2(C3xS3)	432,651

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