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C₂₉×#2951 #16816665

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

484 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)(30,31,33,32)(34,35)(36,41)(37,43)(38,42)(39,44)(40,45)(46,49)(47,48);(34,36)(35,40)(37,45)(38,47)(39,46)(41,42)(43,49)(44,48);(30,32,33,31)(34,36)(35,41)(37,47)(38,45)(39,46)(40,42)(43,48)(44,49);(34,37,39,38)(35,42,44,43)(36,45,46,47)(40,41,48,49)

Conjugacy classes & character table

1276 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 1683);