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C₂×#9259 #198375

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

Aliases

Subgroups

3126 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 18 points:

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

Conjugacy classes & character table

86 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 105571);