Finite Group Databasebeta

?

← Prev (#13093268) Next (#13093270) →

C₉×#4223 #13093269

• metacyclic
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

18 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 50 points:

(1,2,3,4,5,6,7,8,9)(11,12,13,15)(14,17,18,24)(16,21,22,20)(19,26,27,37)(23,30,31,33)(25,34,35,29)(28,39,40,44)(32,42,43,49)(36,46,47,45)(38,50,48,41);(10,11,14,19,28,39,43,31,22,15,20,29,41,42,26,38,47,35,24,33,45,46,30,17,25,36,48,37,49,50,34,21,12,16,23,32,44,40,27,18,13)

Conjugacy classes & character table

126 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1476, 5);