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C₂×#11261 #358271

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

Aliases

Subgroups

1774 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 265467);