Finite Group Databasebeta

?

← Prev (#14579940) Next (#14579942) →

C₄₁×#473 #14579941

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

100 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 73 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41)(42,43,48,53)(44,54,58,64)(45,59,61,67)(46,52,47,51)(49,57,65,56)(50,62,66,60)(55,69,71,63)(68,72,73,70);(42,44,47,57,48,58,46,56)(43,49,52,64,53,65,51,54)(45,55,62,72,61,71,60,70)(50,63,67,73,66,69,59,68);(42,45)(43,50)(44,55)(46,60)(47,62)(48,61)(49,63)(51,59)(52,67)(53,66)(54,68)(56,70)(57,72)(58,71)(64,73)(65,69)

Conjugacy classes & character table

656 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2624, 154);