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C₂×#4050 #66075

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

266 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 23 points:

(3,4,6,7,5)(8,11,12,19,13,20,10,17)(9,15,14,18,16,22,21,23);(1,2)(8,10,13,12)(9,14,16,21)(11,17,20,19)(15,18,22,23);(4,5)(6,7)(8,9)(10,14)(11,18)(12,21)(13,16)(15,19)(17,22)(20,23);(1,2)

Conjugacy classes & character table

92 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(320, 1413);