← Prev (#28386135) Next (#28386137) →
Aliases
Subgroups
104 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 145 points:
(1,2)(3,12,14,29)(4,17,19,28)(5,10)(6,22)(7,11)(8,13)(9,20,26,21)(15,25,16,32)(18,27)(23,30)(24,31)(33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145);(1,3,7,14)(2,8,11,24)(4,18,19,30)(5,16,6,15)(9,25,26,32)(10,27,22,23)(12,28,29,17)(13,20,31,21)
Conjugacy classes & character table
2260 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14464, 72);
Finite Group Databasebeta