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C₂×#8550 #188069

• p-group
• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

4038 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 26 points:

(1,2);(3,4)(5,9,10,7)(6,8)(11,12,14,18,15,17,23,25)(13,19,20,26,21,16,22,24);(11,13,15,21)(12,16,17,19)(14,22,23,20)(18,26,25,24);(3,5)(4,7)(6,10)(8,9)

Conjugacy classes & character table

80 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 95265);