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C₂×#23867 #6437504

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

Aliases

Subgroups

6298 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 26 points:

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

Conjugacy classes & character table

92 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 6344700);