Generators and Representations for G = A₁₃

Standard generators

• Standard generators of A₁₃ are a and b where a is in class 3A, b has order 11 and ab has order 13. (Source: ATLAS)
• Standard generators of the double cover 2.A₁₃ are preimages A and B where A has order 3 and B has order 11. (Source: ATLAS)

BBOX programs

• Finder for A₁₃
• Checker for A₁₃
• CCL rep tester for A₁₃

Representations

Representation genus			Representations available			Test results		Miscellaneous information
Group	Dim	Ind	File	Char	Ring	Checker	CCL	Sparsity	Max	Size (Kb)	Comments
A13	12	+	12	χ2	Z			87%	1	1.0	Young rep 12,1
A13	65	+	65	χ3	Z			96%	1	18.0	Young rep 11,2
A13	66	+	66	χ4	Z			97%	1	18.7	Young rep 11,1,1
A13	208	+	208	χ5	Z			98%	1	178.8	Young rep 10,3
A13	220	+	220	χ6	Z			99%	1	198.9	Young rep 10,1,1,1
2.A13	32	-	No representations available

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