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C₃₁×#2952 #16842885

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

484 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

Conjugacy classes & character table

1364 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 1684);