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C₂×#8845 #191859

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

Aliases

Subgroups

1516 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

152 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 99055);