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C₂×C₃₁×#529 #16843372

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1232 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 49 points:

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

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, 2171);