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C₂×C₃₁×#559 #16843412

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1240 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);(3,4,7,6)(5,9,10,8)(12,15)(16,17);(4,6)(8,9)(11,12,14,15)(13,17,18,16);(3,5,7,10)(4,8,6,9);(3,6,7,4)(5,9,10,8)(11,13,14,18)(12,16,15,17)

Conjugacy classes & character table

1550 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 2211);