Finite Group Databasebeta

?

← Prev (#514635) Next (#514637) →

C₂×#14169 #514636

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

Aliases

Subgroups

6890 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 26 points:

(1,2);(4,6)(7,8,10,9)(11,12,15,13)(14,17,18,16);(12,13)(16,17)(19,20,22,24)(21,23,25,26);(3,4,5,6)(7,9,10,8)(11,13,15,12)(14,17,18,16)(19,20)(21,23)(22,24)(25,26);(11,14,15,18)(12,16,13,17)(19,21,22,25)(20,23,24,26)

Conjugacy classes & character table

152 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 421832);