Generators and Representations for G = A₁₆

Standard generators

• Standard generators of A₁₆ are a in class 3A, b in class 15F/G such that ab has order 14 and abb has order 63. This last condition can be replaced with [a,b] has order 2. (Source: thesis)

BBOX programs

• Finder for A₁₆
• Checker for A₁₆
• CCL rep tester for A₁₆

Representations

Representation genus			Representations available			Test results		Miscellaneous information
Group	Dim	Ind	File	Char	Ring	Checker	CCL	Sparsity	Max	Size (Kb)	Comments
A16	15	+	15	χ2	Z			90%	1	1.4	Young rep 15,1
A16	104	+	104	χ3	Z			97%	1	45.4	Young rep 14,2
A16	105	+	105	χ4	Z			98%	1	46.1	Young rep 14,1,1

Last generated on Sat Sep 24 18:52:50 2005