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C₂×#13037 #494557

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

Aliases

Subgroups

1536 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

80 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 401753);