Finite Group Databasebeta

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C₅₉×#546 #16837080

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

334 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 71 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)(61,63)(64,65,68,69)(66,70,71,67);(65,69)(67,70);(60,61)(62,63)(64,66)(65,67)(68,71)(69,70);(64,67)(65,66)(68,70)(69,71)

Conjugacy classes & character table

1475 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3776, 227);