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C₉×#2403 #11767124

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

2346 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)(11,13)(15,17);(10,11)(12,13)(14,15)(16,17)(19,21);(14,15)(16,17)(18,19)(20,21);(10,11)(12,13)(14,15)(16,17)

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, 1135);