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C₂×#12956 #494337

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

Aliases

Subgroups

1282 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 401533);