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C₃₁×#2864 #16842797

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

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, 1596);