Finite Group Databasebeta

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C₂₉×#2550 #16816264

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

468 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)(36,40)(37,39)(38,41)(42,43,46,49)(44,48,45,47);(30,31,32,33)(34,35,37,39)(36,38,41,40)(42,43)(44,47)(45,48)(46,49);(30,31)(32,33)(34,35)(36,38)(37,39)(40,41)(42,44,46,45)(43,47,49,48);(34,36,37,41)(35,38,39,40)(42,45,46,44)(43,48,49,47)

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, 1282);