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C₂×#11060 #357708

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

Aliases

Subgroups

2914 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

104 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 264904);