Generators and Representations for G = L₃(9)

Standard generators

• Standard generators of L₃(9) are a and b where a has order 2, b is in class 3B and ab has order 24.

BBOX programs

• Finder for L₃(9)
• Checker for L₃(9)
• CCL rep tester for L₃(9)

Representations

Representation genus			Representations available			Test results		Miscellaneous information
Group	Dim	Ind	File	Char	Ring	Checker	CCL	Sparsity	Max	Size (Kb)	Comments
L3(9)	90	+	90	χ2	Z			97%	1	33.8	perm rep on 91 pts
L3(9)	91	+	91(a)	χ3	Z			98%	1	34.4	perm rep on 182 pts
L3(9)	91	o	91(b)	χ4	Z(i)			98%		34.3	complex conjugate of χ5
			91(c)	χ5	Z(i)			98%		34.3	perm rep on 364 pts
			91(d)	χ6	C			98%		34.4	complex conjugate of χ7
			91(e)	χ7	C			98%		34.4	perm rep on 728 pts
			91(f)	χ8	C			98%		34.4	complex conjugate of χ9
			91(g)	χ9	C			98%		34.4	Galois conjugate of χ7

Notes

Element xy is in class 24A.

Last generated on Sat Sep 24 18:53:02 2005