Finite Group Databasebeta

?

← Prev (#358614) Next (#358616) →

C₂×#11369 #358615

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

Aliases

Subgroups

1682 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 38 points:

(1,2);(3,4)(5,6)(7,8)(9,17,21,31)(10,22)(11,15)(12,16)(13,20,28,25)(14,24)(18,26)(19,32,35,38)(23,36)(27,34,29,37)(30,33);(4,6)(7,9,18,20,12,21,11,25)(8,13,26,17,16,28,15,31)(10,19,33,34,24,35,23,37)(14,29,36,38,22,27,30,32);(4,6)(7,10,18,33,12,24,11,23)(8,14,26,36,16,22,15,30)(9,19,20,34,21,35,25,37)(13,27,17,32,28,29,31,38)

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, 265811);