Finite Group Databasebeta

?

← Prev (#17991769) Next (#17991771) →

C₃₇×#2952 #17991770

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

484 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 57 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)(38,39,41,40)(42,43,48,53)(44,54,45,50)(46,52,47,51)(49,56,57,55);(42,44,48,45)(43,49,53,57)(46,55,47,56)(50,51,54,52);(38,40,41,39)(42,45,48,44)(43,50,53,54)(46,55,47,56)(49,51,57,52);(42,46,48,47)(43,51,53,52)(44,55,45,56)(49,54,57,50)

Conjugacy classes & character table

1628 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4736, 1684);