Finite Group Databasebeta

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C₃₁×#2593 #16842526

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

440 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)(33,36)(37,39)(40,41)(42,44)(43,46)(45,47)(48,49,52,55)(50,54,51,53);(41,42)(45,46)(48,50,52,51)(49,53,55,54);(32,33)(34,37)(35,36)(38,39)(40,42,44,41)(43,46,47,45)(48,49)(50,53)(51,54)(52,55);(32,34,35,38)(33,37,36,39)(40,43,44,47)(41,45,42,46)(48,51,52,50)(49,54,55,53)

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, 1325);