Finite Group Databasebeta

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C₉×#3484 #11768205

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

2850 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 21 points:

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

Conjugacy classes & character table

396 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1152, 2216);