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C₂×#11160 #357880

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

Aliases

Subgroups

2770 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

104 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 265076);