Finite Group Databasebeta

?

← Prev (#353380) Next (#353382) →

C₂×#10793 #353381

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

Aliases

Subgroups

4022 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

116 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 260577);