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C₂²×#2542 #7628095

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

Aliases

Subgroups

15754 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

152 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 7535291);