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C₂×C₃₇×#465 #17991865

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

564 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 51 points:

(1,2)(15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51);(3,4)(5,6)(8,11)(9,13)(12,14);(7,8,9,11,10,12,13,14);(4,6)

Conjugacy classes & character table

1628 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4736, 1779);