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C₂×#1930 #21073

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

Aliases

Subgroups

513 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)(9,15)(10,17)(13,20)(14,19)(18,21);(3,5,6,4)(7,8,10,12,11,14,17,19)(9,13,16,18,15,21,22,20);(7,9,10,16,11,15,17,22)(8,13,12,18,14,21,19,20)

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, 14061);