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C₅₉×#458 #16836992

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

160 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 75 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59)(60,61,64,67)(62,65,69,72)(63,66,70,73)(68,74,75,71);(60,62)(61,65)(63,68)(64,69)(66,71)(67,72)(70,75)(73,74);(60,63)(61,66)(62,68)(64,70)(65,71)(67,73)(69,75)(72,74)

Conjugacy classes & character table

944 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3776, 139);