Finite Group Databasebeta

?

← Prev (#357835) Next (#357837) →

C₂×#11141 #357836

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

Aliases

Subgroups

2650 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 265032);