Finite Group Databasebeta

?

← Prev (#357933) Next (#357935) →

C₂×#11181 #357934

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

Aliases

Subgroups

3002 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 22 points:

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

Conjugacy classes & character table

92 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 265130);