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C₂×#13063 #494636

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

Aliases

Subgroups

1432 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 38 points:

(1,2);(3,4)(5,6)(7,8,11,16,13,17,12,27)(9,18,20,33,22,34,21,37)(10,23,24,29,26,38,25,15)(14,28,30,36,31,35,32,19);(7,9,10,19,11,20,24,28,13,22,26,36,12,21,25,35)(8,14,29,34,27,32,23,33,17,31,15,18,16,30,38,37);(4,6)

Conjugacy classes & character table

152 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 401832);