Finite Group Databasebeta

?

← Prev (#357586) Next (#357588) →

C₂×#11032 #357587

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

Aliases

Subgroups

4334 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 264783);