Finite Group Databasebeta

?

← Prev (#78484) Next (#78486) →

C₂×#4708 #78485

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

592 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

120 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(384, 11061);