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C₁₉×#2505 #14560362

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

456 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)(20,21,24,25)(22,27,26,23)(28,29,32,34)(30,31,35,33)(37,40)(38,42);(21,25)(22,26)(28,30,32,35)(29,33,34,31)(36,37)(38,41)(39,40)(42,43);(20,22,24,26)(21,23,25,27)(28,30)(29,31)(32,35)(33,34)(36,38,39,42)(37,41,40,43);(20,23)(21,26)(22,25)(24,27)(28,31)(29,30)(32,33)(34,35)(36,37)(38,41)(39,40)(42,43)

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, 1237);