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C₂×C₄₉⋊C₉ #11725056

• metacyclic
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

18 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 60 points:

(1,2)(4,6,10)(5,9,17)(7,13,25)(8,15,22)(11,21,19)(12,24,33)(14,28,46)(16,32,20)(18,35,34)(23,40,39)(26,42,36)(27,45,31)(29,47,49)(30,43,37)(38,41,48)(44,51,50)(52,53,55,54,56,58,57,59,60);(3,47,32,42,27,26,50,9,8,7,51,20,19,28,17,25,12,11,29,41,21,35,45,31,30,13,39,40,5,4,49,48,10,44,43,18,16,6,14,24,37,36,34,33,15,23,22,46,38)

Conjugacy classes & character table

114 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(882, 2);