Generators and Representations for G = G₂(4)

Standard generators

• Standard generators of G₂(4) are a and b where a is in class 2A, b is in class 5C/D, ab has order 13 and abb has order 13. (Source: ATLAS)
• Standard generators of the double cover 2.G₂(4) are preimages A and B where B has order 5 and AB has order 13. (Source: ATLAS)

BBOX programs

• Checker for G₂(4)
• CCL rep tester for G₂(4)

Representations

Representation genus			Representations available			Test results		Miscellaneous information
Group	Dim	Ind	File	Char	Ring	Checker	CCL	Sparsity	Max	Size (Kb)	Comments
G2(4)	65	+	65	χ2	Z			86%	5	18.4	perm rep on 416 pts
G2(4)	78	+	78	χ3	Z			69%	21	27.5	LLL'ed
2.G2(4)	12	-	No representations available
2.G2(4)	104	-	No representations available

Last generated on Sat Sep 24 18:52:53 2005