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C₃₁×#3481 #16843414

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1242 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 47 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)(42,46)(43,45)(44,47);(32,33)(34,37)(35,36)(38,39)(40,42)(41,44)(43,47)(45,46);(41,45)(44,46);(33,36)(37,39)(42,47)(44,46);(32,34,35,38)(33,37,36,39)

Conjugacy classes & character table

1550 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 2213);