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C₃₁×#2658 #16842591

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

612 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 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)(32,33,34,35)(41,45)(42,48)(47,53)(50,51);(36,37,38,39)(40,41)(42,49)(43,47)(44,45)(46,48)(50,55)(51,54)(52,53);(32,33)(34,35)(36,37)(38,39)(40,42)(41,46)(43,51)(44,48)(45,49)(47,55)(50,52)(53,54);(40,43,44,52)(41,47,45,53)(42,50,48,51)(46,54,49,55)

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, 1390);