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C₂×C₁₉×#557 #14561333

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1048 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 37 points:

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

Conjugacy classes & character table

950 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 2208);