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C₃₁×#1722 #16841655

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

198 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 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)(34,37)(38,39)(40,41,44,47)(42,48,49,55)(43,51,52,46)(45,53,54,50);(40,42,43,50,44,49,52,53)(41,45,46,48,47,54,51,55);(32,33,37,39,35,38,34,36)(42,49)(45,54)(48,55)(50,53)

Conjugacy classes & character table

806 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 454);