Finite Group Databasebeta

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C₁₉×#2381 #14560238

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

424 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 47 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19)(20,21,22,23)(25,28)(26,30)(33,37)(34,40)(39,42)(41,46);(25,28)(29,31)(32,33,36,37)(34,38,40,44)(35,42,43,39)(41,47,46,45);(24,25,27,28)(26,29,30,31)(32,34)(33,38)(35,41)(36,40)(37,44)(39,45)(42,47)(43,46);(24,26)(25,29)(27,30)(28,31)(32,35,36,43)(33,39,37,42)(34,41,40,46)(38,45,44,47)

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, 1113);