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C₂×#11335 #358476

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

Aliases

Subgroups

2274 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)(9,16)(10,21)(11,14)(12,15)(13,18)(17,19)(20,22);(7,9,10,18,12,19,11,20)(8,13,14,16,15,22,21,17);(7,8)(9,17,19,16)(10,21)(11,14)(12,15)(13,18,22,20)

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, 265672);