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C₂₉×#2370 #16816084

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

464 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)(34,35,38,37)(36,40,41,39)(42,43)(44,48)(45,49)(46,47);(30,32,33,31)(35,37)(39,40)(43,47)(45,48);(34,36)(35,39)(37,40)(38,41)(42,44,46,49)(43,48,47,45);(34,37,38,35)(36,40,41,39)(42,45,46,48)(43,49,47,44)

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, 1102);