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C₃₇×#1411 #17990229

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

94 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 69 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)(38,39,41,46,43,48,55,65)(40,49,50,63,52,60,67,68)(42,47,57,64,58,45,54,62)(44,53,59,56,61,66,69,51);(38,40,43,52)(39,44,48,61)(41,53,55,66)(42,56,58,51)(45,60,47,49)(46,63,65,68)(50,54,67,57)(59,64,69,62)

Conjugacy classes & character table

629 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4736, 143);