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C₂×#3068 #60467

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

Aliases

Subgroups

1373 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 53455);