← Prev (#34041981) Next (#34041983) →
Aliases
Subgroups
446 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 generators on 181 points:
(1,2,7,12)(3,13,15,24)(4,18,20,26)(5,11,6,10)(8,17,23,16)(9,21,25,19)(14,28,29,22)(27,31,32,30)(33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181);(1,3,5,16,7,15,6,17)(2,8,10,13,12,23,11,24)(4,14,19,30,20,29,21,31)(9,22,18,27,25,28,26,32);(1,4)(2,9)(3,14)(5,19)(6,21)(7,20)(8,22)(10,18)(11,26)(12,25)(13,27)(15,29)(16,30)(17,31)(23,28)(24,32);(3,15)(8,23)(13,24)(14,29)(16,17)(22,28)(27,32)(30,31)
Conjugacy classes & character table
4321 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19072, 1801);
Finite Group Databasebeta