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C₂²×#1932 #6371672

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

Aliases

Subgroups

3330 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

128 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 6278868);