Finite Group Databasebeta

?

← Prev (#82046) Next (#82048) →

C₂×#4925 #82047

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

528 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 21 points:

(1,2)(3,4,5)(6,8)(7,10)(9,12)(11,13);(6,7,9,11)(8,10,12,13);(4,5)(8,12)(10,13)(14,15,16,18,17,19,20,21);(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, 14623);