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C₂×#1931 #21074

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

Aliases

Subgroups

577 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 14062);