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C₃₁×#3516 #16843449

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1012 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)(37,39)(41,44)(42,48)(47,51)(49,54);(40,41,45,44)(42,46,48,50)(43,51,52,47)(49,55,54,53);(32,33)(34,37)(35,36)(38,39)(40,42)(41,46)(43,49)(44,50)(45,48)(47,53)(51,55)(52,54);(40,43,45,52)(41,47,44,51)(42,49,48,54)(46,53,50,55);(32,34,35,38)(33,37,36,39)(40,44,45,41)(42,50,48,46)(43,51,52,47)(49,55,54,53)

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, 2248);