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C₂×#11083 #357751

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

Aliases

Subgroups

3006 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

104 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 264947);