Generators and Representations for G = ³D₄(2)

Standard generators

• Standard generators of ³D₄(2) are a and b where a is in class 2A, b has order 9, ab has order 13 and abb has order 8. (Source: ATLAS)

BBOX programs

• Checker for ³D₄(2)
• CCL rep tester for ³D₄(2)

Representations

Representation genus			Representations available			Test results		Miscellaneous information
Group	Dim	Ind	File	Char	Ring	Checker	CCL	Sparsity	Max	Size (Kb)	Comments
3D4(2)	26	+	26	χ2	Z			82%	2	3.4	perm rep on 819 pts
3D4(2)	52	+	52	χ3	Z			56%	52	13.1	exterior square of χ2, split with mod-p Meataxe
3D4(2)	196	+	196	χ4	Z			52%	8035	238.0	split from restriction of 248-dim rep of Th

Last generated on Sat Sep 24 18:52:55 2005