Extensions 1→N→G→Q→1 with N=C₂×S₃² and Q=C₆

Direct product G=N×Q with N=C₂×S₃² and Q=C₆

		d	ρ	Label	ID
S₃²×C₂×C₆		48		S3^2xC2xC6	432,767

Semidirect products G=N:Q with N=C₂×S₃² and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×S₃²)⋊₁C₆ = C₃×S₃×D₁₂	φ: C₆/C₃ → C₂ ⊆ Out C₂×S₃²	48	4	(C2xS3^2):1C6	432,649
(C₂×S₃²)⋊₂C₆ = C₃×D₆⋊D₆	φ: C₆/C₃ → C₂ ⊆ Out C₂×S₃²	48	4	(C2xS3^2):2C6	432,650
(C₂×S₃²)⋊₃C₆ = C₃×S₃×C₃⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×S₃²	24	4	(C2xS3^2):3C6	432,658
(C₂×S₃²)⋊₄C₆ = C₃×Dic₃⋊D₆	φ: C₆/C₃ → C₂ ⊆ Out C₂×S₃²	24	4	(C2xS3^2):4C6	432,659
(C₂×S₃²)⋊₅C₆ = C₆×S₃≀C₂	φ: C₆/C₃ → C₂ ⊆ Out C₂×S₃²	24	4	(C2xS3^2):5C6	432,754

Non-split extensions G=N.Q with N=C₂×S₃² and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×S₃²).C₆ = C₃×S₃²⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×S₃²	24	4	(C2xS3^2).C6	432,574
(C₂×S₃²).₂C₆ = S₃²×C₁₂	φ: trivial image	48	4	(C2xS3^2).2C6	432,648

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