Generators and Representations for G = A₁₇

Standard generators

• Standard generators of A₁₇ are a in class 3A, b of order 15 such that ab has order 17 (so we must have b in class 15G). (Source: thesis)

BBOX programs

• Finder for A₁₇
• Checker for A₁₇
• CCL rep tester for A₁₇

Representations

Representation genus			Representations available			Test results		Miscellaneous information
Group	Dim	Ind	File	Char	Ring	Checker	CCL	Sparsity	Max	Size (Kb)	Comments
A17	16	+	16	χ2	Z			90%	1	1.5	Young rep 16,1
A17	119	+	119	χ3	Z			98%	1	58.7	Young rep 15,2
A17	120	+	120	χ4	Z			98%	1	59.6	Young rep 15,1,1

Last generated on Sat Sep 24 18:52:51 2005