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C₂×#1908 #21002

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

Aliases

Subgroups

849 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 13990);