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C₂×#10937 #354034

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

Aliases

Subgroups

3438 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

128 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 261230);