Finite Group Databasebeta

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C₃₁×#3396 #16843329

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

384 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)(33,37)(38,39)(40,41,45,48)(42,46,44,52)(43,50,51,54)(47,53,55,49);(32,33,36,37)(34,38,35,39)(40,42,45,44)(41,46,48,52)(43,49,51,53)(47,54,55,50);(32,34,36,35)(33,38,37,39)(40,43,45,51)(41,47,48,55)(42,49,44,53)(46,54,52,50);(32,35,36,34)(33,38,37,39)

Conjugacy classes & character table

1085 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 2128);