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C₂×#12767 #493591

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

Aliases

Subgroups

2830 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

68 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 400787);