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C₃₁×#3044 #16842977

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

458 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 67 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)(33,35)(36,37,41,45)(38,42,47,56)(39,49,51,59)(40,52,54,44)(43,53,58,50)(46,60,61,67)(48,64,63,57)(55,65,66,62);(32,33,34,35)(36,38)(37,42)(39,46)(40,48)(41,47)(43,55)(44,57)(45,56)(49,60)(50,62)(51,61)(52,64)(53,65)(54,63)(58,66)(59,67);(36,39,41,51)(37,43,45,58)(38,46,47,61)(40,53,54,50)(42,55,56,66)(44,59,52,49)(48,65,63,62)(57,67,64,60);(38,47)(42,56)(46,61)(48,63)(55,66)(57,64)(60,67)(62,65)

Conjugacy classes & character table

992 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 1776);