Finite Group Databasebeta

?

← Prev (#17990231) Next (#17990233) →

C₃₇×#1414 #17990232

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

84 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 69 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)(40,48,50,63)(41,52,54,68)(42,56,58,46)(43,47)(44,49,59,66)(45,55)(51,65,57,64)(53,60,67,61)(62,69);(38,40)(39,44,47,61)(41,53)(42,57)(43,51)(45,48,62,65)(46,59,56,60)(49,54)(50,58)(52,63,68,64)(55,67)(66,69)

Conjugacy classes & character table

629 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4736, 146);