Finite Group Databasebeta

?

← Prev (#357534) Next (#357536) →

C₂×#11026 #357535

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

Aliases

Subgroups

4406 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

104 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 264731);