Generators and Representations for G = L₂(17)

Standard generators

• Standard generators of L₂(17) are a and b where a has order 2, b has order 3 and ab has order 17. (Source: ATLAS)
• Standard generators of the double cover 2.L₂(17) = SL₂(17) are preimages A and B where B has order 3 and AB has order 17. (Source: ATLAS)

BBOX programs

• Finder for L₂(17)
• Checker for L₂(17)
• CCL rep tester for L₂(17)

Representations

Representation genus			Representations available			Test results		Miscellaneous information
Group	Dim	Ind	File	Char	Ring	Checker	CCL	Sparsity	Max	Size (Kb)	Comments
L2(17)	9	+	9(a)	χ2	C			69%		4.7	Galois conjugate of χ3
			9(b)	χ3	C			69%		4.7	perm rep on 36 pts
			18(d)	χ2+χ3	Z			94%	1	1.9	perm rep on 36 pts
L2(17)	16	+	16(a)	χ4	Z			78%	5	1.7	perm rep on 136 pts
			48	χ5+χ6+χ7	Z			70%	17	10.8	perm rep on 102 pts - please improve
L2(17)	17	+	17	χ8	Z			88%	1	1.8	perm rep on 18 pts
L2(17)	18	+	18(a)	χ9	Z			64%	4	2.0	perm rep on 102 pts
2.L2(17)	8	-	No representations available
2.L2(17)	16	-	No representations available
2.L2(17)	18	-	No representations available

Last generated on Sat Sep 24 18:52:57 2005