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Aliases
Subgroups
90 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 91 points:
(1,2)(3,4)(5,6,8,13,10,14,9,12)(7,15,16,11,18,19,17,20)(21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91);(2,4)(5,7,9,17,10,18,8,16)(6,11,13,19,14,20,12,15)
Conjugacy classes & character table
1988 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4544, 22);
Finite Group Databasebeta