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C₈³ #94850

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

Aliases

Subgroups

802 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 24 points:

(1,2,3,4,5,6,7,8);(9,10,11,12,13,14,15,16);(17,18,19,20,21,22,23,24)

Conjugacy classes & character table

512 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 2046);