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C₃₁×#2745 #16842678

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

400 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)(34,36)(35,37)(38,39)(40,41)(42,45)(43,47)(44,46)(48,49,52,50)(51,54,55,53);(33,34)(35,39)(40,42,44,47)(41,45,46,43)(48,50,52,49)(51,54,55,53);(32,34,36,33)(35,38,39,37)(40,42)(41,43)(44,47)(45,46)(48,51)(49,53)(50,54)(52,55);(32,35)(33,37)(34,38)(36,39)(40,43)(41,42)(44,45)(46,47)(48,51)(49,53)(50,54)(52,55)

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, 1477);