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C₂×#1860 #20862

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

Aliases

Subgroups

739 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 22 points:

(1,2);(3,4,6,5)(7,8,13,18)(9,19,10,21)(11,17,12,16)(14,22,15,20);(3,5,6,4)(7,9,13,10)(8,14,18,15)(11,22,12,20)(16,21,17,19);(7,10,13,9)(8,15,18,14)(11,22,12,20)(16,21,17,19)

Conjugacy classes & character table

64 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(256, 13850);