Finite Group Databasebeta

?

← Prev (#16815138) Next (#16815140) →

C₂₉×#1425 #16815139

• nilpotent
• metacyclic
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

50 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 93 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)(30,31,34,40,37,42,36,58)(32,43,46,68,49,70,48,80)(33,50,52,81,54,83,53,84)(35,56,55,66,57,85,51,41)(38,59,60,76,62,75,86,45)(39,63,64,73,65,72,82,44)(47,78,77,90,79,93,74,69)(61,71,67,87,88,92,89,91);(30,32,44,71,35,47,52,59,34,46,63,87,55,77,54,76,37,49,73,92,57,79,53,75,36,48,72,91,51,74,33,45)(31,38,50,69,41,61,82,80,58,86,84,93,85,89,65,70,42,62,83,90,66,88,64,68,40,60,81,78,56,67,39,43)

Conjugacy classes & character table

1102 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 157);