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C₂×#11193 #357966

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

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, 265162);