Finite Group Databasebeta

?

← Prev (#73345) Next (#73347) →

C₂×#4660 #73346

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

604 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 25 points:

(3,4,5)(6,7,8,9)(10,12)(11,14)(13,16)(15,17)(18,20,21,24)(19,23,22,25);(1,2)(7,9)(10,11,13,15)(12,14,16,17)(19,22)(23,25);(4,5)(12,16)(14,17)(18,19,21,22)(20,23,24,25);(1,2)

Conjugacy classes & character table

84 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(384, 5922);