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C₂×#8534 #187923

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

Aliases

Subgroups

4872 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 95119);