Finite Group Databasebeta

?

← Prev (#87886) Next (#87888) →

C₂×C₅×Dic₁₀ #87887

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

92 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 20 points:

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

Conjugacy classes & character table

130 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(400, 181);