Finite Group Databasebeta

?

← Prev (#87146) Next (#87148) →

C₂²×#901 #87147

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

1504 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 23 points:

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

Conjugacy classes & character table

144 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(384, 19723);