Finite Group Databasebeta

?

← Prev (#33709) Next (#33711) →

C₂×#2247 #33710

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

Aliases

Subgroups

407 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

76 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(256, 26698);