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C₂×#1907 #21001

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

Aliases

Subgroups

913 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

(1,2);(3,4)(5,6)(7,8,12,14,11,10,16,19)(9,15,17,22,18,13,20,21);(7,9,16,17,11,18,12,20)(8,13,14,22,10,15,19,21);(4,6)(7,10)(8,11)(9,15)(12,14)(13,18)(16,19)(17,21)(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, 13989);