Finite Group Databasebeta

?

← Prev (#353983) Next (#353985) →

C₂×#10920 #353984

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

Aliases

Subgroups

1994 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

128 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 261180);