Finite Group Databasebeta

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C₉×#3184 #11767905

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

669 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 25 points:

(1,2,3,4,5,6,7,8,9)(10,11)(12,15)(13,14)(16,17)(19,22)(20,24)(23,25);(11,14)(15,17)(19,23)(22,25);(18,19,24,25,21,23,20,22);(10,12,13,16)(11,15,14,17)(19,23)(22,25)

Conjugacy classes & character table

288 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1152, 1916);