Generators and Representations for G = A₁₄

Standard generators

• Standard generators of A₁₄ are a and b where a is in class 3A, b has order 13, ab has order 12, abb has order 24 and ababb has order 20. The last two conditions may be replaced by [a, b] has order 2. (Source: ATLAS)
• Standard generators of the double cover 2.A₁₄ are preimages A and B where A has order 3 and B has order 13. (Source: ATLAS)

BBOX programs

• Finder for A₁₄
• Checker for A₁₄
• CCL rep tester for A₁₄

Representations

Representation genus			Representations available			Test results		Miscellaneous information
Group	Dim	Ind	File	Char	Ring	Checker	CCL	Sparsity	Max	Size (Kb)	Comments
A14	13	+	13	χ2	Z			88%	1	1.2	Young rep 13,1
A14	77	+	77	χ3	Z			96%	1	25.1	Young rep 12,2
A14	78	+	78	χ4	Z			97%	1	25.6	Young rep 12,1,1

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