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C₂×#10883 #353883

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

Aliases

Subgroups

2150 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

128 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 261079);