Finite Group Databasebeta

?

← Prev (#67169) Next (#67171) →

C₃×Dic₃₀ #67170

• metacyclic
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

54 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 19 points:

(1,2,4,5,3)(6,7,8)(9,10,11)(12,19,15,14)(13,18,17,16);(2,3)(4,5)(10,11)(12,17,15,13)(14,16,19,18)

Conjugacy classes & character table

99 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(360, 100);