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C₃₁×#2978 #16842911

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

402 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)(35,37)(36,39)(40,41,43,47,44,46,50,53)(42,45,49,52,48,51,54,55);(32,34)(33,36)(35,39)(37,38)(40,42)(41,45)(43,49)(44,48)(46,51)(47,52)(50,54)(53,55);(34,39)(36,38)(41,46)(42,48)(47,53)(49,54);(33,37)(36,38)(42,48)(45,51)(49,54)(52,55)

Conjugacy classes & character table

1178 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 1710);