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C₃⁷ #14555451

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

Aliases

Subgroups

2052656 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 7 generators on 21 points:

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

Conjugacy classes & character table

2187 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2187, 9310);