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C₃₁×#3551 #16843484

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1050 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 55 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31)(33,36)(34,38)(40,41)(42,48)(43,45)(44,51)(46,49)(47,52)(50,53)(54,55);(33,36)(37,39)(41,43)(42,49)(47,51)(50,55);(32,33,35,36)(34,37,38,39)(40,42)(41,46)(43,48)(44,50)(45,49)(47,53)(51,54)(52,55);(32,34)(33,37)(35,38)(36,39)(40,43,45,41)(42,48,49,46)(44,51,52,47)(50,54,55,53);(40,44,45,52)(41,47,43,51)(42,50,49,55)(46,53,48,54)

Conjugacy classes & character table

1178 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 2283);