Finite Group Databasebeta

?

← Prev (#16815997) Next (#16815999) →

C₂×C₂₉×#384 #16815998

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

888 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 43 points:

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

Conjugacy classes & character table

1624 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 1016);