Finite Group Databasebeta

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C₃₁×#3543 #16843476

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1260 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)(32,33)(34,35)(36,37)(38,39)(40,41)(42,44)(43,46)(45,47);(33,37)(34,38)(41,42)(45,46);(40,41,44,42)(43,45,47,46);(32,34,36,38)(33,35,37,39)(40,42,44,41)(43,46,47,45);(32,35)(33,38)(34,37)(36,39)(40,43)(41,45)(42,46)(44,47)

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, 2275);