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C₂×#13259 #495266

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

Aliases

Subgroups

1292 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 34 points:

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

Conjugacy classes & character table

92 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 402462);