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C₂×#13186 #495075

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

Aliases

Subgroups

746 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 402271);