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C₂²×C₃₁×#107 #16842841

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

600 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 47 points:

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

Conjugacy classes & character table

1736 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 1640);