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C₂×#13089 #494710

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

Aliases

Subgroups

2400 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)(9,15,17,11)(10,13)(12,14)(16,21,22,18)(19,20);(7,9,15,14)(8,12,17,11)(10,16,21,20)(13,19,22,18);(4,6)(7,10,12,19)(8,13,14,20)(9,16,17,22)(11,18,15,21)

Conjugacy classes & character table

74 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 401906);