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C₂²×#1795 #6370752

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

Aliases

Subgroups

18498 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 20 points:

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

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, 6277948);