Extensions 1→N→G→Q→1 with N=C₂²×S₃ and Q=C₆

Direct product G=N×Q with N=C₂²×S₃ and Q=C₆

		d	ρ	Label	ID
S₃×C₂²×C₆		48		S3xC2^2xC6	144,195

Semidirect products G=N:Q with N=C₂²×S₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₃)⋊C₆ = C₂×S₃×A₄	φ: C₆/C₂ → C₃ ⊆ Out C₂²×S₃	18	6+	(C2^2xS3):C6	144,190
(C₂²×S₃)⋊₂C₆ = C₆×D₁₂	φ: C₆/C₃ → C₂ ⊆ Out C₂²×S₃	48		(C2^2xS3):2C6	144,160
(C₂²×S₃)⋊₃C₆ = C₃×S₃×D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²×S₃	24	4	(C2^2xS3):3C6	144,162
(C₂²×S₃)⋊₄C₆ = C₆×C₃⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²×S₃	24		(C2^2xS3):4C6	144,167

Non-split extensions G=N.Q with N=C₂²×S₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₃).C₆ = C₃×D₆⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²×S₃	48		(C2^2xS3).C6	144,79
(C₂²×S₃).₂C₆ = S₃×C₂×C₁₂	φ: trivial image	48		(C2^2xS3).2C6	144,159

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