Generators and Representations for G = L₂(31)

Standard generators

• Standard generators of L₂(31) are a and b where a has order 2, b has order 3 and ab has order 31. (Source: ATLAS)
• Standard generators of the double cover 2.L₂(31) = SL₂(31) are preimages A and B where B has order 3 and AB has order 31. (Source: ATLAS)

BBOX programs

• Finder for L₂(31)
• Checker for L₂(31)
• CCL rep tester for L₂(31)

Representations

Representation genus			Representations available			Test results		Miscellaneous information
Group	Dim	Ind	File	Char	Ring	Checker	CCL	Sparsity	Max	Size (Kb)	Comments
L2(31)	15	o	15(a)	χ2	C			75%		42.0	perm rep on 930 pts
			15(b)	χ3	C			75%		42.0	perm rep on 930 pts
			30(h)	χ2+χ3	Z			79%	3	4.4	perm rep on 930 pts
L2(31)	30	+	30(a)	χ4	Z			60%	5	4.7	perm rep on 930 pts (cosets of D16)
			30(b)	χ5	C			78%		25.1	perm rep on 930 pts (cosets of D16)
			30(c)	χ6	C			78%		25.1	perm rep on 930 pts (cosets of D16)
			60	χ5+χ6	Z			73%	12	16.4	perm rep on 930 pts (cosets of D16)
			120	χ7+χ8+χ9+χ10	Z			67%	98	66.7	perm rep on 248 pts
L2(31)	31	+	31	χ11	Z			93%	1	4.5	perm rep on 32 pts
L2(31)	32	+	32(a)	χ12	Z			67%	8	5.1	induce from Borel, reseed
			32(b)	χ13	C			96%		5.1	induce from Borel
			32(c)	χ14	C			96%		5.1	induce from Borel
			32(d)	χ15	C			96%		5.1	induce from Borel
			32(e)	χ16	C			96%		5.1	induce from Borel
			32(f)	χ17	C			96%		5.1	induce from Borel
			32(g)	χ18	C			96%		5.1	induce from Borel
2.L2(31)	16	o	No representations available
2.L2(31)	30	-	No representations available
2.L2(31)	32	-	No representations available

Notes

Identifying classes: abababb is 16B, ababb is 15B.

Last generated on Sat Sep 24 18:52:59 2005