Generators and Representations for G = A₁₂

Standard generators

• Standard generators of A₁₂ are a and b where a is in class 3A, b has order 11, ab has order 10 and abb has order 35. (Source: ATLAS)
• Standard generators of the double cover 2.A₁₂ are preimages A and B where A has order 3 and B has order 11. (Source: ATLAS)

BBOX programs

• Finder for A₁₂
• Checker for A₁₂
• CCL rep tester for A₁₂

Representations

Representation genus			Representations available			Test results		Miscellaneous information
Group	Dim	Ind	File	Char	Ring	Checker	CCL	Sparsity	Max	Size (Kb)	Comments
A12	11	+	11	χ2	Z			86%	1	0.9
A12	54	+	54	χ3	Z			95%	1	12.5
A12	55	+	55	χ4	Z			96%	1	12.9
A12	132	+	132	χ5	Z			92%	3	73.7	Young rep 66
A12	154	+	154	χ6	Z			96%	2	98.3
A12	165	+	165	χ7	Z			98%	1	112.8
2.A12	32	-	No representations available
2.A12	160	o	No representations available

Last generated on Sat Sep 24 18:52:49 2005