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C₂×#11149 #357873

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

Aliases

Subgroups

2762 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 265069);