Finite Group Databasebeta

?

← Prev (#494661) Next (#494663) →

C₂×#13074 #494662

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

Aliases

Subgroups

1370 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 34 points:

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

Conjugacy classes & character table

92 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 401858);