Multiplicity-Free Endomorphism Rings

Data for 2F4(2)'

2F4(2)'
n U rank degree permutation character PDF sources generators
1 L3(3).2 4 1600 1a + 351a + 624ab PDF [TomLib] 1, 2
2 L3(3).2 4 1600 1a + 351a + 624ab PDF [TomLib] 1, 2
3 L3(3) < L3(3).2 6 3200 1a + 300a + 351a + 624ab + 1300a PDF [TomLib] 1, 2
4 L3(3) < L3(3).2 6 3200 1a + 300a + 351a + 624ab + 1300b PDF [TomLib] 1, 2
5 2.[28]:5:4 5 1755 1a + 78a + 351a + 650a + 675a PDF [TomLib] 1, 2
6 L2(25) 7 2304 1a + 27ab + 351a + 624ab + 650a PDF [TomLib] 1, 2
7 22.[28]:S3 6 2925 1a + 351a + 624ab + 650a + 675a PDF [TomLib] 1, 2
8 22.[28].3 < 22.[28]:S3 9 5850 1a + 325a + 351a + 624ab + 650a + 675a + 1300ab PDF [TomLib] 1, 2
2F4(2)'.2
n U rank degree permutation character PDF sources generators
1 2.[29]:5:4 5 1755 1a+ + 78a+ + 351a+ + 650a+ + 675a+ PDF [TomLib] 1, 2
2 2.[28]:5:4 < 2F4(2)' 10 3510 1a± + 78a± + 351a± + 650a± + 675a± PDF [TomLib] 1, 2
3 2.[29]:5:2 < 2.[29]:5:4 7 3510 1a+ + 78a+ + 351a± + 650a+ + 675a+ + 702ab PDF [TomLib] 1, 2
4 2.[29]:5 < 2.[29]:5:4 11 7020 1a+ + 27a+b+ + 78a+ + 351a± + 650a+ + 675a+ + 702ab + 1728a± PDF [TomLib] 1, 2
5 2.[29]:5 < 2.[29]:5:4 11 7020 1a+ + 27a-b- + 78a+ + 351a± + 650a+ + 675a+ + 702ab + 1728a± PDF [TomLib] 1, 2
6 L2(25).23 6 2304 1a+ + 27a-b- + 351a- + 624ab + 650a+ PDF [TomLib] 1, 2
7 22.[29]:S3 5 2925 1a+ + 351a+ + 624ab + 650a+ + 675a+ PDF [TomLib] 1, 2
8 22.[29]:3 < 22.[29]:S3 7 5850 1a+ + 325a+ + 351a+ + 624ab + 650a+ + 675a+ + 1300ab PDF [TomLib] 1, 2
9 22.[29]:3 < 22.[29]:S3 7 5850 1a+ + 325a- + 351a+ + 624ab + 650a+ + 675a+ + 1300ab PDF [TomLib] 1, 2

[ATLAS page on 2F4(2)']

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