Finite Group Databasebeta

?

← Prev (#20758) Next (#20760) →

C₂×#1835 #20759

• p-group
• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

503 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 30 points:

(1,2);(3,4,5,6)(7,8)(9,12)(10,11)(13,14)(15,16)(17,25)(18,21)(19,29)(20,24)(22,27)(23,26)(28,30);(8,11)(12,14)(15,17,26,28,20,27,19,18)(16,21,29,22,24,30,23,25);(7,9,10,13)(8,12,11,14)(15,18,19,27,20,28,26,17)(16,22,23,21,24,25,29,30)

Conjugacy classes & character table

88 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(256, 13747);