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C₂×#18790 #6348707

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

Aliases

Subgroups

3440 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 18 points:

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

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, 6255903);