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C₂×#9862 #206453

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

Aliases

Subgroups

1394 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 26 points:

(1,2);(4,7)(5,8)(9,10)(11,12,14,17,16,20,15,19)(13,21,23,26,22,25,24,18);(3,4,8,10,6,9,5,7)(12,17,20,19)(13,22)(18,25,26,21)(23,24);(11,13,15,24,16,22,14,23)(12,18,17,21,20,26,19,25)

Conjugacy classes & character table

104 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 113649);