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C₂×#2971 #60203

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

Aliases

Subgroups

1115 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

100 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(256, 53191);