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C₂×#13044 #494573

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

Aliases

Subgroups

2180 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

68 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 401769);