Finite Group Databasebeta

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C₂⁴×#67 #87576

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

10552 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 6 generators on 15 points:

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

Conjugacy classes & character table

144 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(384, 20152);