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C₁₉×#1722 #14559579

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

198 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 43 points:

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

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, 454);