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C₂×#11120 #357787

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

Aliases

Subgroups

2726 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

92 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 264983);