← Prev (#29506989) Next (#29506991) →
Aliases
Splittings
Subgroups
8 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 198 points:
(2,3,5,9,17)(4,7,13,24,42)(6,11,20,35,31)(8,15,18,32,10)(12,22,38,62,69)(14,26,46,74,54)(16,29,36,59,28)(19,23,40,43,70)(21,34,49,58,55)(25,44,72,33,56)(27,48,78,115,103)(30,52,63,95,106)(37,61,92,94,104)(39,64,97,109,86)(41,67,75,110,50)(45,53,84,71,105)(47,76,112,89,87)(51,57,81,80,90)(60,91,66,73,107)(65,99,135,152,139)(68,102,116,153,141)(77,114,150,130,140)(79,117,155,144,124)(82,93,128,133,145)(83,98,134,147,125)(85,122,111,146,100)(88,119,127,131,142)(96,132,121,108,143)(101,113,148,118,126)(120,136,166,176,168)(123,159,154,175,157)(129,162,165,174,167)(137,151,172,164,169)(138,156,177,170,160)(149,171,161,163,158)(173,180,179,181,178)(182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198);(1,2,4,8,16,30,53,85,123,107,142,167,171,32,55,86,91,126,160,155,176,48,79,62,94,130,105,140,38,63,96,117,156,74,109,144,153,174,40,66,100,128,5,10,19,34,57,88,114,151,173,122,158,178,180,29,51,82,119,3,6,12,23,41,68,97,133,164,143,24,43,71,56,87,124,112,147,170,177,35,58,89,95,131,13,25,45,64,98,42,69,103,110,145,168,175,181,67,101,137,162,11,21,37,61,93,129,135,165,179,159,46,75,111,52,83,120,150,7,14,27,49,80,118,134,9,18,33,44,73,108,72,106,141,148,17,31,54,59,90,125,132,163,26,47,77,99,136,70,104,139,146,169,78,116,154,102,138,115,152,22,39,65,92,127,161,166,20,36,60,76,113,149,84,121,157,172,15,28,50,81)
Conjugacy classes & character table
697 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15385, 1);
Finite Group Databasebeta