Finite Group Databasebeta

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C₁₃×#3866 #14515318

• metacyclic
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

12 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 50 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13)(15,16,17,19)(18,21,22,28)(20,25,26,24)(23,30,31,39)(27,34,32,35)(29,36,37,33)(38,43,44,42)(40,45,46,41)(47,49,50,48);(14,15,18,23,32,26,19,24,33,41,44,37,28,35,42,48,50,46,39,30,40,47,49,43,34,21,29,38,45,36,25,16,20,27,31,22,17)

Conjugacy classes & character table

169 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1924, 5);