Finite Group Databasebeta

?

← Prev (#16816613) Next (#16816615) →

C₂×C₂₉×#421 #16816614

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

772 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 47 points:

(1,2)(19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47);(3,4,7,10,8,11,6,15)(5,12,14,9,13,18,16,17);(3,5)(4,9)(6,16)(7,14)(8,13)(10,18)(11,17)(12,15);(5,13)(9,17)(12,18)(14,16)

Conjugacy classes & character table

1276 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 1632);