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C₃₁×#2514 #16842447

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

372 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)(33,35)(34,38)(40,41,45,43)(42,47,46,44)(50,54)(52,55);(32,33,36,35)(34,37,38,39)(40,42)(41,44)(43,47)(45,46)(48,49,51,53)(50,55,54,52);(32,34)(33,37)(35,39)(36,38)(40,43,45,41)(42,47,46,44)(48,50,51,54)(49,52,53,55);(32,35,36,33)(34,39,38,37)(40,44,45,47)(41,46,43,42)

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, 1246);