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C₂²×#1883 #6371434

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

Aliases

Subgroups

7342 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 16 points:

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

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, 6278630);