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C₂×#8347 #185244

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

Aliases

Subgroups

2902 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 92440);