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C₂×#11213 #358069

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

Aliases

Subgroups

1942 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

92 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 265265);