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C₂×#8351 #185325

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

Aliases

Subgroups

2658 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)(11,12,15,18,16,13,14,17);(3,5)(4,7)(6,10)(8,9)(11,13,16,12)(14,17,15,18);(3,4)(5,7)(6,8)(9,10)

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, 92521);