Extensions 1→N→G→Q→1 with N=C₄×S₃ and Q=C₃×S₃

Direct product G=N×Q with N=C₄×S₃ and Q=C₃×S₃

		d	ρ	Label	ID
S₃²×C₁₂		48	4	S3^2xC12	432,648

Semidirect products G=N:Q with N=C₄×S₃ and Q=C₃×S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃)⋊₁(C₃×S₃) = C₃×D₁₂⋊₅S₃	φ: C₃×S₃/C₃² → C₂ ⊆ Out C₄×S₃	48	4	(C4xS3):1(C3xS3)	432,643
(C₄×S₃)⋊₂(C₃×S₃) = C₃×D₆.₆D₆	φ: C₃×S₃/C₃² → C₂ ⊆ Out C₄×S₃	48	4	(C4xS3):2(C3xS3)	432,647
(C₄×S₃)⋊₃(C₃×S₃) = C₃×S₃×D₁₂	φ: C₃×S₃/C₃² → C₂ ⊆ Out C₄×S₃	48	4	(C4xS3):3(C3xS3)	432,649
(C₄×S₃)⋊₄(C₃×S₃) = C₃×D₆.D₆	φ: C₃×S₃/C₃² → C₂ ⊆ Out C₄×S₃	48	4	(C4xS3):4(C3xS3)	432,646

Non-split extensions G=N.Q with N=C₄×S₃ and Q=C₃×S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃).₁(C₃×S₃) = C₃×S₃×Dic₆	φ: C₃×S₃/C₃² → C₂ ⊆ Out C₄×S₃	48	4	(C4xS3).1(C3xS3)	432,642
(C₄×S₃).₂(C₃×S₃) = C₃×D₆.Dic₃	φ: C₃×S₃/C₃² → C₂ ⊆ Out C₄×S₃	48	4	(C4xS3).2(C3xS3)	432,416
(C₄×S₃).₃(C₃×S₃) = C₃×S₃×C₃⋊C₈	φ: trivial image	48	4	(C4xS3).3(C3xS3)	432,414

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