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C₂₉×#2494 #16816208

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

412 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 53 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)(31,34)(32,36)(38,39,42,45)(40,44,41,43)(47,50)(48,52);(30,31,33,34)(32,35,36,37)(38,40,42,41)(39,43,45,44)(46,47)(48,51)(49,50)(52,53);(30,31)(32,35)(33,34)(36,37)(38,39)(40,43)(41,44)(42,45);(30,32,33,36)(31,35,34,37)(38,41,42,40)(39,44,45,43)(46,48,49,52)(47,51,50,53)

Conjugacy classes & character table

1102 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 1226);