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C₂×#11056 #357637

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

Aliases

Subgroups

2922 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 264833);