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C₂₉×#2345 #16816059

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

548 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 49 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)(34,35,38,37)(36,40,41,39)(43,46)(47,48);(35,37)(39,40)(42,43,45,46)(44,48,49,47);(34,36)(35,39)(37,40)(38,41);(34,37,38,35)(36,40,41,39)(42,44,45,49)(43,47,46,48)

Conjugacy classes & character table

1450 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 1077);