Finite Group Databasebeta

?

← Prev (#16837109) Next (#16837111) →

C₅₉×#576 #16837110

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

268 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 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)(62,66)(63,65)(64,68)(67,71)(69,73)(70,72)(74,75);(61,65)(63,71)(66,72)(67,68)(70,75)(73,74);(60,62)(61,66)(63,70)(64,69)(65,72)(67,74)(68,73)(71,75);(62,69)(66,73)(70,75)(72,74)

Conjugacy classes & character table

1298 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3776, 257);