Generators and Representations for G = L₂(11)

Standard generators

• Standard generators of L₂(11) are a and b where a has order 2, b has order 3 and ab has order 11. (Source: ATLAS)
• Standard generators of the double cover 2.L₂(11) = SL₂(11) are preimages A and B where B has order 3 and AB has order 11. (Source: ATLAS)

BBOX programs

• Finder for L₂(11)
• Checker for L₂(11)
• CCL rep tester for L₂(11)

Representations

Representation genus			Representations available			Test results		Miscellaneous information
Group	Dim	Ind	File	Char	Ring	Checker	CCL	Sparsity	Max	Size (Kb)	Comments
L2(11)	5	o	5(a)	χ2	C			62%		0.6	perm rep on 55a pts
			5(b)	χ3	C			62%		0.6	perm rep on 55a pts
			10(c)	χ2+χ3	Z			83%	1	1.0	perm rep on 55 pts
L2(11)	10	+	10(a)	χ4	Z			80%	1	1.0	perm rep on 55a pts
			10(b)	χ5	Z			85%	1	1.0	perm rep on 11 pts
L2(11)	11	+	11	χ6	Z			82%	1	1.1	perm rep on 12 pts
L2(11)	12	+	12(a)	χ7	C			91%		1.2	induce from Borel
			12(b)	χ8	C			91%		1.2	induce from Borel
2.L2(11)	6	o	No representations available
2.L2(11)	10	-	No representations available
2.L2(11)	12	-	No representations available

Notes

Identifying classes: 5A is abababb, 11A is ab.

Last generated on Sat Sep 24 18:52:56 2005