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C₂²×#3325 #10576269

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

Aliases

Subgroups

10042 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 6 generators on 20 points:

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

Conjugacy classes & character table

116 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 10483465);