Finite Group Databasebeta

?

← Prev (#151776) Next (#151778) →

C₂×#7478 #151777

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

Aliases

Subgroups

398 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 38 points:

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

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, 58973);