Finite Group Databasebeta

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C₁₉×#2511 #14560368

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

388 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)(21,23)(22,26)(29,32)(30,34)(36,37,40,43)(38,42,39,41);(20,21,24,23)(22,27,26,25)(28,29)(30,33)(31,32)(34,35)(36,38,40,39)(37,41,43,42);(20,22,24,26)(21,25,23,27)(36,38,40,39)(37,41,43,42);(20,23,24,21)(22,27,26,25)(28,30,31,34)(29,33,32,35)(36,39,40,38)(37,42,43,41)

Conjugacy classes & character table

722 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 1243);