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C₂₉×#2398 #16816112

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

568 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)(34,35,38,40)(36,41,37,39)(42,43,45,47)(44,48,49,46);(30,31)(32,33)(34,36,38,37)(35,39,40,41)(42,44,45,49)(43,46,47,48);(31,33)(43,47)(46,48);(34,37,38,36)(35,39,40,41)

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, 1130);