Finite Group Databasebeta

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C₂⁵×Dic₃ #87575

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

10552 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 6 generators on 17 points:

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

Conjugacy classes & character table

192 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(384, 20151);