Finite Group Databasebeta

?

← Prev (#6463804) Next (#6463806) →

C₂×#28207 #6463805

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

Aliases

Subgroups

2734 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 22 points:

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

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, 6371001);