Generators and Representations for G = A₁₁

Standard generators

• Standard generators of A₁₁ are a and b where a is in class 3A, b has order 9 and ab has order 11. (Source: ATLAS)
• Standard generators of the double cover 2.A₁₁ are preimages A and B where A has order 3 and B has order 9. (Source: ATLAS)

BBOX programs

• Finder for A₁₁
• Checker for A₁₁
• CCL rep tester for A₁₁

Representations

Representation genus			Representations available			Test results		Miscellaneous information
Group	Dim	Ind	File	Char	Ring	Checker	CCL	Sparsity	Max	Size (Kb)	Comments
A11	10	+	10	χ2	Z			85%	1	0.8
A11	44	+	44	χ3	Z			94%	1	8.6
A11	45	+	45	χ4	Z			96%	1	8.9
A11	110	+	110	χ5	Z			95%	1	50.8
A11	120	+	120	χ6	Z			98%	1	59.7
A11	126	o	126(a)	χ7	C			73%		180.7	complex conjugate of χ8
			126(b)	χ8	C			73%		180.6	Removed most of the 11s
			252	χ7+χ8	Z			98%	1	261.0
A11	132	+	132	χ9	Z			91%	5	73.7
A11	165	+	165	χ10	Z			96%	4	113.5
A11	210	+	210	χ11	Z			98%	1	181.8
A11	231	+	231	χ12	Z			98%	1	220.5
2.A11	16	o	No representations available
2.A11	144	+	No representations available

Notes

Element xy is in class 11A.

Last generated on Sat Sep 24 18:52:49 2005