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C₂×#11327 #358458

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

Aliases

Subgroups

2870 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 265654);