Generators and Representations for G = He

Standard generators

• Standard generators of the Held group He are a and b where a is in class 2A, b is in class 7C and ab has order 17. (Source: ATLAS)
• Standard generators of its automorphism group He:2 are c and d where c is in class 2B, d is in class 6C and cd has order 30. (Source: ATLAS)

BBOX programs

• Finder for He
• Finder for He.2
• Checker for He
• Checker for He.2
• CCL rep tester for He

Representations

Representation genus			Representations available			Test results		Miscellaneous information
Group	Dim	Ind	File	Char	Ring	Checker	CCL	Sparsity	Max	Size (Kb)	Comments
He	51	o	102	χ2+χ3	Z			70%	62	47.1	perm rep on 2058 pts
He	153	o	No representations available

Last generated on Sat Sep 24 18:52:41 2005