Multiplicity-Free Endomorphism Rings

Data for J2

J2
n U rank degree permutation character PDF sources generators
1 U3(3) 3 100 1a + 36a + 63a PDF [PS97], [TomLib] 1, 2
2 3.A6.22 4 280 1a + 63a + 90a + 126a PDF [PS97], [TomLib] 1, 2
3 21+4-:A5 6 315 1a + 14ab + 36a + 90a + 160a PDF [Hoe01], [TomLib] 1, 2
4 22+4.(3 × S3) 6 525 1a + 36a + 63a + 90a + 160a + 175a PDF [Hoe01], [TomLib] 1, 2
5 A4 × A5 7 840 1a + 63a + 90a + 126a + 160a + 175a + 225a PDF [Hoe01], [TomLib] 1, 2
J2.2
n U rank degree permutation character PDF sources generators
1 U3(3).2 3 100 1a+ + 36a+ + 63a+ PDF [PS97], [TomLib] 1, 2
2 U3(3) < U3(3).2 6 200 1a± + 36a± + 63a± PDF [Hoe01], [TomLib] 1, 2
3 3.A6.22 4 280 1a+ + 63a+ + 90a+ + 126a+ PDF [PS97], [TomLib] 1, 2
4 3.A6.22 < 3.A6.22 8 560 1a± + 63a± + 90a± + 126a± PDF [Hoe01], [TomLib] 1, 2
5 3.A6.23 < 3.A6.22 7 560 1a+ + 21ab + 63a± + 90a+ + 126a+ + 175a- PDF [Hoe01], [TomLib] 1, 2
6 21+4-:S5 5 315 1a+ + 14ab + 36a+ + 90a+ + 160a+ PDF [PS97], [TomLib] 1, 2
7 21+4-:5:4 < 21+4-:S5 12 1890 1a+ + 14ab + 36a+ + 63a- + 90a+ + 126a± + 160a+ + 288a- + 300a- + 336a± PDF [Hoe01], [TomLib] 1, 2
8 22+4.(S3 × S3) 6 525 1a+ + 36a+ + 63a+ + 90a+ + 160a+ + 175a+ PDF [Hoe01], [TomLib] 1, 2
9 22+4.(3 × S3) < 22+4.(S3 × S3) 12 1050 1a± + 36a± + 63a± + 90a± + 160a± + 175a± PDF [Hoe01], [TomLib] 1, 2
10 22+4.(S3 × 3) < 22+4.(S3 × S3) 9 1050 1a+ + 36a+ + 63a+ + 70ab + 90a+ + 160a± + 175a+ + 225a+ PDF [Hoe01], [TomLib] 1, 2
11 (A4 × A5).2 7 840 1a+ + 63a+ + 90a+ + 126a+ + 160a+ + 175a+ + 225a- PDF [Hoe01], [TomLib] 1, 2
12 A4 × A5 < (A4 × A5).2 14 1680 1a± + 63a± + 90a± + 126a± + 160a± + 175a± + 225a± PDF [Hoe01], [TomLib] 1, 2
13 (A5 × D10).2 8 1008 1a+ + 14ab + 90a± + 126a+ + 160a+ + 225a- + 288a- PDF [Hoe01], [TomLib] 1, 2
14 52:(4 × S3) 12 2016 1a+ + 63a- + 90a± + 126a± + 160a+ + 175a+ + 225a- + 288a- + 336a± PDF [Hoe01], [TomLib] 1, 2
2.J2
n U rank degree permutation character PDF sources generators
1 U3(3) → (J2,1) 5 200 1a + 36a + 50ab + 63a PDF [PS97] 1, 2
Isoclinic(2.J2.2)
n U rank degree permutation character PDF sources generators
1 U3(3).2 → (J2.2,1) 4 200 1a+ + 36a+ + 50ab + 63a+ PDF [PS97] 1, 2
2 U3(3).2 → (J2.2,1) 4 200 1a+ + 36a+ + 50ab + 63a+ PDF [PS97] 1, 2
3 3.A6.23 → (J2.2,5) 12 1120 1a+ + 14c± + 21ab + 50ab + 63a± + 90a+ + 126a+ + 175a- + 216a± PDF [Mue08b] 1, 2

[ATLAS page on J2]

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