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C₃₁×#3573 #16843506

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1424 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 63 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)(32,33,36,40,37,41,47,53)(34,38,44,50,43,49,56,60)(35,39,46,52,45,51,57,61)(42,48,55,59,54,58,62,63);(32,34)(33,38)(35,42)(36,44)(37,43)(39,48)(40,50)(41,49)(45,54)(46,55)(47,56)(51,58)(52,59)(53,60)(57,62)(61,63);(32,35)(33,39)(34,42)(36,46)(37,45)(38,48)(40,52)(41,51)(43,54)(44,55)(47,57)(49,58)(50,59)(53,61)(56,62)(60,63);(35,45)(39,51)(42,54)(46,57)(48,58)(52,61)(55,62)(59,63);(34,43)(38,49)(42,54)(44,56)(48,58)(50,60)(55,62)(59,63)

Conjugacy classes & character table

2108 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 2305);