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C₂₉×#3499 #16817213

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1476 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 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)(34,35,38,41)(36,39,44,42)(37,45,46,40)(43,48,49,47);(34,35)(36,42)(37,40)(38,41)(39,44)(43,48)(45,46)(47,49);(30,31,32,33);(34,36)(35,39)(37,43)(38,44)(40,47)(41,42)(45,48)(46,49);(34,37,38,46)(35,40,41,45)(36,43,44,49)(39,47,42,48)

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, 2231);