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C₂₉×#1876 #16815590

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

324 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 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)(31,33)(35,39,41,44)(36,42,43,45);(30,31,32,33)(34,35,37,44,38,41,46,39)(36,40,45,48,43,49,42,47);(34,36)(35,40)(37,45)(38,43)(39,47)(41,49)(42,46)(44,48)

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, 608);