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C₂×#11333 #358480

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

Aliases

Subgroups

2094 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 265676);