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C₂×#1911 #21010

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

Aliases

Subgroups

987 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

58 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(256, 13998);