Multiplicity-Free Endomorphism Rings

Data for McL

McL
n U rank degree permutation character PDF sources generators
1 U4(3) 3 275 1a + 22a + 252a PDF [PS97], [TomLib] 1, 2
2 M22 4 2025 1a + 22a + 252a + 1750a PDF [PS97], [TomLib] 1, 2
3 M22 4 2025 1a + 22a + 252a + 1750a PDF [PS97], [TomLib] 1, 2
4 U3(5) 5 7128 1a + 22a + 252a + 1750a + 5103a PDF [PS97], [TomLib] 1, 2
5 31+4:2S5 5 15400 1a + 252a + 4500a + 5103a + 5544a PDF [PS97], [TomLib] 1, 2
6 2.A8 6 22275 1a + 252a + 1750a + 5103a + 5544a + 9625a PDF [Hoe01], [TomLib] 1, 2
McL.2
n U rank degree permutation character PDF sources generators
1 U4(3).23 3 275 1a+ + 22a+ + 252a+ PDF [PS97], [TomLib] 1, 2
2 U4(3) < U4(3).23 6 550 1a± + 22a± + 252a± PDF [Hoe01], [TomLib] 1, 2
3 M22 < McL 8 4050 1a± + 22a± + 252a± + 1750a± PDF [Hoe01], [TomLib] 1, 2
4 U3(5).2 5 7128 1a+ + 22a- + 252a+ + 1750a+ + 5103a+ PDF [PS97], [TomLib] 1, 2
5 U3(5) < U3(5).2 10 14256 1a± + 22a± + 252a± + 1750a± + 5103a± PDF [Hoe01], [TomLib] 1, 2
6 31+4:4S5 5 15400 1a+ + 252a+ + 4500a+ + 5103a+ + 5544a+ PDF [PS97], [TomLib] 1, 2
7 31+4:2S5 < 31+4:4S5 10 30800 1a± + 252a± + 4500a± + 5103a± + 5544a± PDF [Hoe01], [TomLib] 1, 2
8 31+4:2S5 < 31+4:4S5 8 30800 1a+ + 231a- + 252a+ + 4500a+ + 5103a+ + 5544a± + 9625a- PDF [Hoe01], [TomLib] 1, 2
9 2.S8 6 22275 1a+ + 252a+ + 1750a+ + 5103a+ + 5544a+ + 9625a+ PDF [Hoe01], [TomLib] 1, 2
10 2.A8 < 2.S8 12 44550 1a± + 252a± + 1750a± + 5103a± + 5544a± + 9625a± PDF [Hoe01], [TomLib] 1, 2
3.McL
n U rank degree permutation character PDF sources generators
1 2.A8 → (McL,6) 14 66825 1a + 252a + 1750a + 2772ab + 5103abc + 5544a + 6336ab + 8064ab + 9625a PDF [Linton] 1, 2
3.McL.2
n U rank degree permutation character PDF sources generators
1 2.S8 → (McL.2,9) 10 66825 1a+ + 252a+ + 1750a+ + 2772ab + 5103a+bc + 5544a+ + 6336ab + 8064ab + 9625a+ PDF [Mue08b] 1, 2

[ATLAS page on McL]

File created automatically by GAP on 23-Jul-2009.