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C₂×#11093 #357772

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

Aliases

Subgroups

2826 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)(12,18)(13,21)(16,20)(17,22);(7,8)(9,16,17,12)(10,13)(11,14)(15,18,22,20)(19,21);(7,9)(8,12)(10,20)(11,17)(13,22)(14,16)(15,19)(18,21)

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, 264968);