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C₂×C₂₃×#421 #15670519

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

772 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 41 points:

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

Conjugacy classes & character table

1012 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 1632);