← Prev (#27134650) Next (#27134652) →
Aliases
Splittings
Subgroups
24 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 141 points:
(2,4)(3,7)(5,10)(6,13)(8,16)(9,15)(11,20)(12,23)(14,25)(17,29)(18,28)(19,27)(21,34)(22,37)(24,39)(26,41)(30,46)(31,45)(32,44)(33,43)(35,52)(36,55)(38,57)(40,59)(42,61)(47,67)(48,66)(49,65)(50,64)(51,63)(53,72)(54,74)(56,76)(58,78)(60,80)(62,82)(68,83)(69,86)(70,85)(71,84)(73,90)(75,92)(77,94)(79,96)(81,98)(87,99)(88,101)(89,100)(91,104)(93,106)(95,108)(97,110)(102,111)(103,112)(105,114)(107,116)(109,118)(113,119)(115,120)(117,121)(123,124)(125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141);(1,14,60,111,100,72,73,103,110,59,13,3,26,81,101,84,35,91,113,96,39,4,8,42,99,85,63,54,105,118,78,23,9,17,62,86,64,21,75,115,108,57,10,18,30,83,65,43,36,93,121,94,37,19,31,47,66,44,11,56,107,116,76,20,32,48,67,45,27,22,77,117,106,55,33,49,68,46,28,5,38,95,120,92,34,50,69,82,29,15,12,58,109,114,74,51,70,87,61,16,2,24,79,119,104,52,71,88,98,41,7,6,40,97,112,90,53,89,102,80,25)(122,123,124)
Conjugacy classes & character table
3111 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12342, 7);
Finite Group Databasebeta