Finite Group Databasebeta

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C₁₉×#3201 #14561058

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

390 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

494 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 1933);