Generators and Representations for G = L₂(16)

Standard generators

• Standard generators of L₂(16) are a and b where a has order 2, b has order 3 and ab has order 15. (Source: ATLAS)

BBOX programs

• Finder for L₂(16)
• Checker for L₂(16)
• CCL rep tester for L₂(16)

Representations

Representation genus			Representations available			Test results		Miscellaneous information
Group	Dim	Ind	File	Char	Ring	Checker	CCL	Sparsity	Max	Size (Kb)	Comments
L2(16)	15	+	120	χ2+χ3+χ4+χ5+χ6+χ7+χ8+χ9	Z			99%	1	59.6	perm rep on 240 pts
L2(16)	16	+	16	χ10	Z			87%	1	1.7	perm rep on 17 pts
L2(16)	17	+	17(a)	χ11	Z			85%	1	1.8	perm rep on 68 pts
			17(b)	χ12	C			82%		1.8	Galois conjugate of χ13
			17(c)	χ13	C			82%		1.8	perm rep on 240 pts
			17(d)	χ14	C			94%		1.9	induce from Borel subgroup
			17(e)	χ15	C			94%		1.9	induce from Borel subgroup
			17(f)	χ16	C			94%		1.9	induce from Borel subgroup
			17(g)	χ17	C			94%		1.9	induce from Borel subgroup
			34	χ12+χ13	Z			83%	6	5.6	perm rep on 240 pts
			68	χ14+χ15+χ16+χ17	Z			80%	70	20.9	perm rep on 240 pts

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