Multiplicity-Free Endomorphism Rings

Data for F3+

F3+
n U rank degree permutation character PDF sources generators
1 Fi23 3 306936 1a + 57477a + 249458a PDF [PS97] 1, 2
2 O10-(2) 17 50177360142 1a + 8671a + 57477a + 249458a + 555611a + 1666833a + 35873145a + 48893768a + 79452373a + 415098112a + 1264015025a + 1540153692a + 2346900864a + 3208653525a + 10169903744a + 13904165275a + 17161712568a PDF [Mue03]  
3 37.O7(3) 18 125168046080 1a + 57477a + 249458a + 35873145a + 40536925a + 79452373a + 112168056a + 281380736a + 1069551175a + 1264015025a + 3208653525a + 3283490925a + 5775278080a + 10776585600ab + 17068369920a + 17161712568a + 54234085491a PDF [Mue03]  
F3+.2
n U rank degree permutation character PDF sources generators
1 Fi23 × 2 3 306936 1a+ + 57477a+ + 249458a+ PDF [PS97] 1, 2
2 Fi23 < Fi23 × 2 6 613872 1a± + 57477a± + 249458a± PDF [Hoe01] 1, 2
3 O10-(2).2 17 50177360142 1a+ + 8671a- + 57477a+ + 249458a+ + 555611a- + 1666833a+ + 35873145a+ + 48893768a- + 79452373a+ + 415098112a- + 1264015025a+ + 1540153692a+ + 2346900864a- + 3208653525a+ + 10169903744a- + 13904165275a+ + 17161712568a+ PDF [LLS95]  
4 O10-(2) < O10-(2).2 34 100354720284 1a± + 8671a± + 57477a± + 249458a± + 555611a± + 1666833a± + 35873145a± + 48893768a± + 79452373a± + 415098112a± + 1264015025a± + 1540153692a± + 2346900864a± + 3208653525a± + 10169903744a± + 13904165275a± + 17161712568a± PDF [Mue03]  
5 37.O7(3).2 17 125168046080 1a+ + 57477a+ + 249458a+ + 35873145a+ + 40536925a+ + 79452373a+ + 112168056a+ + 281380736a+ + 1069551175a- + 1264015025a+ + 3208653525a+ + 3283490925a+ + 5775278080a+ + 10776585600ab + 17068369920a+ + 17161712568a+ + 54234085491a+ PDF [LLS95]  
3.F3+
n U rank degree permutation character PDF sources generators
1 Fi23 → (F3+,1) 7 920808 1a + 783ab + 57477a + 249458a + 306153ab PDF [Linton] 1, 2
2 O10-(2) → (F3+,2) 43 150532080426 1a + 783ab + 8671a + 57477a + 64584ab + 249458a + 306153ab + 555611a + 1666833a + 6724809ab + 19034730ab + 35873145a + 43779879ab + 48893768a + 79452373a + 195019461ab + 203843871ab + 415098112a + 1050717096ab + 1264015025a + 1540153692a + 1818548820ab + 2346900864a + 3208653525a + 10169903744a + 10726070355ab + 13904165275a + 15016498497ab + 17161712568a + 21096751104ab PDF [Linton]  
3.F3+.2
n U rank degree permutation character PDF sources generators
1 Fi23 × 2 → (F3+.2,1) 5 920808 1a+ + 783ab + 57477a+ + 249458a+ + 306153ab PDF [PS97] 1, 2
2 O10-(2).2 → (F3+.2,3) 30 150532080426 1a+ + 783ab + 8671a- + 57477a+ + 64584ab + 249458a+ + 306153ab + 555611a- + 1666833a+ + 6724809ab + 19034730ab + 35873145a+ + 43779879ab + 48893768a- + 79452373a+ + 195019461ab + 203843871ab + 415098112a- + 1050717096ab + 1264015025a+ + 1540153692a+ + 1818548820ab + 2346900864a- + 3208653525a+ + 10169903744a- + 10726070355ab + 13904165275a+ + 15016498497ab + 17161712568a+ + 21096751104ab PDF [Mue08b]  

[ATLAS page on F3+]

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