Extensions 1→N→G→Q→1 with N=S₃xC₃² and Q=C₆

Direct product G=NxQ with N=S₃xC₃² and Q=C₆

		d	ρ	Label	ID
S₃xC₃²xC₆		108		S3xC3^2xC6	324,172

Semidirect products G=N:Q with N=S₃xC₃² and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₃²):C₆ = S₃xC₃²:C₆	φ: C₆/C₁ → C₆ ⊆ Out S₃xC₃²	18	12+	(S3xC3^2):C6	324,116
(S₃xC₃²):₂C₆ = C₂xS₃xHe₃	φ: C₆/C₂ → C₃ ⊆ Out S₃xC₃²	36	6	(S3xC3^2):2C6	324,139
(S₃xC₃²):₃C₆ = S₃²xC₃²	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₃²	36		(S3xC3^2):3C6	324,165
(S₃xC₃²):₄C₆ = C₃xS₃xC₃:S₃	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₃²	36		(S3xC3^2):4C6	324,166

Non-split extensions G=N.Q with N=S₃xC₃² and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₃²).C₆ = C₂xS₃x3_-¹⁺²	φ: C₆/C₂ → C₃ ⊆ Out S₃xC₃²	36	6	(S3xC3^2).C6	324,141
(S₃xC₃²).₂C₆ = S₃²xC₉	φ: C₆/C₃ → C₂ ⊆ Out S₃xC₃²	36	4	(S3xC3^2).2C6	324,115
(S₃xC₃²).₃C₆ = S₃xC₃xC₁₈	φ: trivial image	108		(S3xC3^2).3C6	324,137

׿

x

:

Z

F

o

wr

Q

<