Finite Group Databasebeta

?

← Prev (#495108) Next (#495110) →

C₂×#13200 #495109

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

Aliases

Subgroups

1190 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 402305);