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C₂×#11275 #358284

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

Aliases

Subgroups

1770 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 265480);