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C₂×#11244 #358065

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

Aliases

Subgroups

1926 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 265261);