Finite Group Databasebeta

?

← Prev (#357683) Next (#357685) →

C₂×#11102 #357684

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

Aliases

Subgroups

2698 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

(1,2);(3,4)(5,13)(6,17,19,10)(7,20)(8,12)(9,15)(11,21)(14,26,29,34)(16,27)(18,25,32,31)(22,33,24,28)(23,30);(3,5,7,15,8,16,21,30)(4,9,11,13,12,23,20,27)(6,14,18,28,19,29,32,33)(10,24,25,34,17,22,31,26);(3,6)(4,10)(5,14)(7,18)(8,19)(9,22)(11,25)(12,17)(13,26)(15,28)(16,29)(20,31)(21,32)(23,24)(27,34)(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, 264880);