Finite Group Databasebeta

?

← Prev (#494557) Next (#494559) →

C₂×#13038 #494558

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

Aliases

Subgroups

1320 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

80 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 401754);