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C₂×#9041 #195111

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

Aliases

Subgroups

3398 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 102307);