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C₂×#12960 #494346

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

Aliases

Subgroups

1726 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 22 points:

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

Conjugacy classes & character table

68 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 401542);