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C₂×#15961 #609895

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

Aliases

Subgroups

6898 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 22 points:

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

Conjugacy classes & character table

116 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 517091);