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C₂×#12587 #492905

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

Aliases

Subgroups

2490 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 400101);