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C₂×C₃₁×#398 #16842324

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

692 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 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);(7,8,9,10)(12,15)(16,17);(4,6)(11,12,14,15)(13,17,18,16);(3,4)(5,6)(7,8)(9,10)(11,13,14,18)(12,16,15,17)

Conjugacy classes & character table

1364 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 1123);