Finite Group Databasebeta

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C₂×#4461 #69740

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

200 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 25 points:

(3,4,5)(6,7,8,9)(11,15)(16,21)(17,22)(23,25);(4,5)(10,11,12,16,13,17,18,23,14,15,19,21,20,22,24,25);(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, 2316);