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C₂×#9045 #195116

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

Aliases

Subgroups

1934 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 102312);