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C₉×#2433 #11767154

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

2022 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 21 points:

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

Conjugacy classes & character table

342 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1152, 1165);