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C₂×#8535 #187924

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

Aliases

Subgroups

3442 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 95120);