Multiplicity-Free Endomorphism Rings

Data for Suz

Suz
n U rank degree permutation character PDF sources generators
1 G2(4) 3 1782 1a + 780a + 1001a PDF [PS97] 1, 2
2 32.U4(3):2 5 22880 1a + 364a + 780a + 5940a + 15795a PDF [PS97] 1, 2
3 32.U4(3) < 32.U4(3):2 8 45760 1a + 143a + 364a + 780a + 5940a + 10725a + 12012a + 15795a PDF [Hoe01] 1, 2
4 U5(2) 6 32760 1a + 143a + 364a + 5940a + 12012a + 14300a PDF [Hoe01] 1, 2
5 21+6-.U4(2) 9 135135 1a + 143a + 780a + 3432a + 5940a + 14300a + 18954a + 25025a + 66560a PDF [Hoe01] 1, 2
6 24+6:3A6 13 405405 1a + 364a + 780a + 1001a + 5940a + 12012a + 14300a + 15795a + 25025a + 66560a + 75075a + 88452a + 100100a PDF [Hoe01] 1, 2
Suz.2
n U rank degree permutation character PDF sources generators
1 G2(4).2 3 1782 1a+ + 780a+ + 1001a+ PDF [PS97] 1, 2
2 G2(4) < G2(4).2 6 3564 1a± + 780a± + 1001a± PDF [Hoe01] 1, 2
3 32.U4(3).22 5 22880 1a+ + 364a+ + 780a+ + 5940a+ + 15795a+ PDF [PS97] 1, 2
4 32.U4(3).23' < 32.U4(3).22 10 45760 1a± + 364a± + 780a± + 5940a± + 15795a± PDF [Hoe01] 1, 2
5 32.U4(3).23 < 32.U4(3).22 8 45760 1a+ + 143a+ + 364a+ + 780a+ + 5940a+ + 10725a+ + 12012a+ + 15795a+ PDF [Hoe01] 1, 2
6 32.U4(3).21 < 32.U4(3).22 8 45760 1a+ + 143a- + 364a+ + 780a+ + 5940a+ + 10725a- + 12012a- + 15795a+ PDF [Hoe01] 1, 2
7 32.U4(3) < 32.U4(3).22 16 91520 1a± + 143a± + 364a± + 780a± + 5940a± + 10725a± + 12012a± + 15795a± PDF [Hoe01] 1, 2
8 U5(2).2 6 32760 1a+ + 143a- + 364a+ + 5940a+ + 12012a- + 14300a- PDF [Hoe01] 1, 2
9 U5(2) < U5(2).2 12 65520 1a± + 143a± + 364a± + 5940a± + 12012a± + 14300a± PDF [Hoe01] 1, 2
10 21+6-.U4(2).2 9 135135 1a+ + 143a- + 780a+ + 3432a+ + 5940a+ + 14300a- + 18954a- + 25025a+ + 66560a+ PDF [Hoe01] 1, 2
11 21+6-.U4(2) < 21+6-.U4(2).2 18 270270 1a± + 143a± + 780a± + 3432a± + 5940a± + 14300a± + 18954a± + 25025a± + 66560a± PDF [Hoe01] 1, 2
12 35:(M11 × 2) 10 232960 1a+ + 364a± + 5940a+ + 12012a- + 14300a- + 15015ab + 15795a+ + 54054a+ + 100100a- PDF [Hoe01] 1, 2
13 24+6:3S6 13 405405 1a+ + 364a+ + 780a+ + 1001a+ + 5940a+ + 12012a- + 14300a- + 15795a+ + 25025a+ + 66560a+ + 75075a+ + 88452a+ + 100100a+ PDF [Hoe01] 1, 2
14 24+6:3A6 < 24+6:3S6 26 810810 1a± + 364a± + 780a± + 1001a± + 5940a± + 12012a± + 14300a± + 15795a± + 25025a± + 66560a± + 75075a± + 88452a± + 100100a± PDF [Hoe01] 1, 2
2.Suz
n U rank degree permutation character PDF sources generators
1 U5(2) → (Suz,4) 10 65520 1a + 143a + 364abc + 5940a + 12012a + 14300a + 16016ab PDF [Linton] 1, 2
3.Suz
n U rank degree permutation character PDF sources generators
1 G2(4) → (Suz,1) 7 5346 1a + 66ab + 780a + 1001a + 1716ab PDF [Linton] 1, 2
2 U5(2) → (Suz,4) 14 98280 1a + 78ab + 143a + 364a + 1365ab + 4290ab + 5940a + 12012a + 14300a + 27027ab PDF [Linton] 1, 2
3 21+6-.U4(2) → (Suz,5) 23 405405 1a + 66ab + 143a + 429ab + 780a + 1716ab + 3432a + 5940a + 6720ab + 14300a + 18954abc + 25025a + 42900ab + 64350cd + 66560a PDF [Linton] 1, 2
4 24+6:3.A6 → (Suz,6) 27 1216215 1a + 364a + 780a + 1001a + 1365ab + 4290ab + 5940a + 12012a + 14300a + 15795a + 25025a + 27027ab + 42900ab + 66560a + 75075a + 85800ab + 88452a + 100100a + 104247ab + 139776ab PDF [Linton] 1, 2
6.Suz
n U rank degree permutation character PDF sources generators
1 U5(2) → (2.Suz,1), (3.Suz,2) 26 196560 1a + 12ab + 78ab + 143a + 364abc + 924ab + 1365ab + 4290ab + 4368ab + 5940a + 12012a + 14300a + 16016ab + 27027ab + 27456ab PDF [Linton] 1, 2
2.Suz.2
n U rank degree permutation character PDF sources generators
1 U5(2).2 → (Suz.2,8) 8 65520 1a+ + 143a- + 364a+bc + 5940a+ + 12012a- + 14300a- + 16016ab PDF [Mue08b] 1, 2
2 U5(2).2 → (Suz.2,8) 8 65520 1a+ + 143a- + 364a+bc + 5940a+ + 12012a- + 14300a- + 16016ab PDF [Mue08b] 1, 2
3 35:(M11 × 2) → (Suz.2,12) 14 465920 1a+ + 364a±bc + 5940a+ + 12012a- + 14300a- + 15015ab + 15795a+ + 16016ab + 54054a+ + 100100a-b± PDF [Mue08b] 1, 2
4 35:(M11 × 2) → (Suz.2,12) 14 465920 1a+ + 364a±bc + 5940a+ + 12012a- + 14300a- + 15015ab + 15795a+ + 16016ab + 54054a+ + 100100a-b± PDF [Mue08b] 1, 2
3.Suz.2
n U rank degree permutation character PDF sources generators
1 G2(4).2 → (Suz.2,1) 5 5346 1a+ + 66ab + 780a+ + 1001a+ + 1716ab PDF [PS97] 1, 2
2 U5(2).2 → (Suz.2,8) 10 98280 1a+ + 78ab + 143a- + 364a+ + 1365ab + 4290ab + 5940a+ + 12012a- + 14300a- + 27027ab PDF [Mue08b] 1, 2
3 21+6-.U4(2).2 → (Suz.2,10) 16 405405 1a+ + 66ab + 143a- + 429ab + 780a+ + 1716ab + 3432a+ + 5940a+ + 6720ab + 14300a- + 18954a-bc + 25025a+ + 42900ab + 64350cd + 66560a+ PDF [Mue08b] 1, 2
4 24+6:3S6 → (Suz.2,13) 20 1216215 1a+ + 364a+ + 780a+ + 1001a+ + 1365ab + 4290ab + 5940a+ + 12012a- + 14300a- + 15795a+ + 25025a+ + 27027ab + 42900ab + 66560a+ + 75075a+ + 85800ab + 88452a+ + 100100a+ + 104247ab + 139776ab PDF [Mue08b] 1, 2
6.Suz.2
n U rank degree permutation character PDF sources generators
1 U5(2).2 → (Suz.2,8) 16 196560 1a+ + 12ab + 78ab + 143a- + 364a+bc + 924ab + 1365ab + 4290ab + 4368ab + 5940a+ + 12012a- + 14300a- + 16016ab + 27027ab + 27456ab PDF [Mue08b] 1, 2
2 U5(2).2 → (Suz.2,8) 16 196560 1a+ + 12ab + 78ab + 143a- + 364a+bc + 924ab + 1365ab + 4290ab + 4368ab + 5940a+ + 12012a- + 14300a- + 16016ab + 27027ab + 27456ab PDF [Mue08b] 1, 2

[ATLAS page on Suz]

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