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C₂×#10791 #353376

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

Aliases

Subgroups

4298 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)(13,15)(14,22)(16,19)(17,20)(18,24)(21,25)(23,26);(4,6)(11,13,15,20,17,19,16,12)(14,21,24,26,25,22,23,18);(11,14)(12,18)(13,21)(15,24)(16,23)(17,25)(19,22)(20,26)

Conjugacy classes & character table

152 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 260572);