Extensions 1→N→G→Q→1 with N=C₂²xS₃ and Q=C₆

Direct product G=NxQ with N=C₂²xS₃ and Q=C₆

		d	ρ	Label	ID
S₃xC₂²xC₆		48		S3xC2^2xC6	144,195

Semidirect products G=N:Q with N=C₂²xS₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²xS₃):C₆ = C₂xS₃xA₄	φ: C₆/C₂ → C₃ ⊆ Out C₂²xS₃	18	6+	(C2^2xS3):C6	144,190
(C₂²xS₃):₂C₆ = C₆xD₁₂	φ: C₆/C₃ → C₂ ⊆ Out C₂²xS₃	48		(C2^2xS3):2C6	144,160
(C₂²xS₃):₃C₆ = C₃xS₃xD₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²xS₃	24	4	(C2^2xS3):3C6	144,162
(C₂²xS₃):₄C₆ = C₆xC₃:D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²xS₃	24		(C2^2xS3):4C6	144,167

Non-split extensions G=N.Q with N=C₂²xS₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²xS₃).C₆ = C₃xD₆:C₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²xS₃	48		(C2^2xS3).C6	144,79
(C₂²xS₃).₂C₆ = S₃xC₂xC₁₂	φ: trivial image	48		(C2^2xS3).2C6	144,159

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