Generators and Representations for G = L₃(11)

Standard generators

• Standard generators of L₃(11) are a and b where a has order 3, b is in class 11A, ab has order 120, abb has order 10 and ababb has order 40. The last two conditions can be replaced by ab⁵ has order 55. (Source: ATLAS)

BBOX programs

• Finder for L₃(11)
• Checker for L₃(11)
• CCL rep tester for L₃(11)

Representations

Representation genus			Representations available			Test results		Miscellaneous information
Group	Dim	Ind	File	Char	Ring	Checker	CCL	Sparsity	Max	Size (Kb)	Comments
L3(11)	132	+	132	χ2	Z			98%	1	72.6	perm rep on 133 points
L3(11)	133	+	133(a)	χ3	Z			99%	1	73.4	perm rep on 266 pts
L3(11)	133	o	133(b)	χ4	C			99%		73.7	perm rep on 665 pts
			133(c)	χ5	C			99%		73.7	perm rep on 665 pts
			133(d)	χ6	C			99%		73.7	perm rep on 665 pts
			133(e)	χ7	C			99%		73.7	perm rep on 665 pts
			133(f)	χ8	C			99%		73.7	perm rep on 1330 pts
			133(g)	χ9	C			99%		73.7	perm rep on 1330 pts
			133(h)	χ10	C			99%		73.7	perm rep on 1330 pts
			133(i)	χ11	C			99%		73.7	perm rep on 1330 pts
			532(a)	χ4+χ5+χ6+χ7	Z			99%	1	1159.3	perm rep on 665 pts
			532(b)	χ8+χ9+χ10+χ11	Z			99%	1	1159.2	perm rep on 1330 pts

Notes

Identifying classes: ab is 120A.

Last generated on Sat Sep 24 18:53:03 2005