Finite Group Databasebeta

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C₁₉×#2645 #14560502

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

352 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)(20,21,24,22)(23,25,27,26)(30,34)(32,35)(36,37,40,38)(39,42,43,41);(21,22)(25,26)(28,29,31,33)(30,35,34,32)(36,38,40,37)(39,42,43,41);(20,22,24,21)(23,25,27,26)(28,30)(29,32)(31,34)(33,35)(36,39)(37,41)(38,42)(40,43);(20,23,24,27)(21,25,22,26)

Conjugacy classes & character table

608 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 1377);