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C₂×#8873 #192299

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

Aliases

Subgroups

2010 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 99495);