Finite Group Databasebeta

?

← Prev (#66995) Next (#66997) →

C₂×#4326 #66996

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

60 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 29 points:

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

Conjugacy classes & character table

64 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(352, 138);