Finite Group Databasebeta

?

← Prev (#611865) Next (#611867) →

C₂×#16987 #611866

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

Aliases

Subgroups

4646 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 30 points:

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

Conjugacy classes & character table

104 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 519062);