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C₂×#11362 #358612

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

Aliases

Subgroups

1690 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 265808);