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C₃₁×#2746 #16842679

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

448 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)(34,38)(35,36)(37,39)(40,41,44,46)(42,47,43,45)(48,49)(50,53)(51,55)(52,54);(33,36)(37,38)(40,42,44,43)(41,45,46,47)(48,50,52,55)(49,53,54,51);(32,34,35,39)(33,37,36,38)(40,43,44,42)(41,45,46,47)(48,50)(49,51)(52,55)(53,54);(32,33)(34,37)(35,36)(38,39)(40,41)(42,47)(43,45)(44,46)(48,51)(49,50)(52,53)(54,55)

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, 1478);