Finite Group Databasebeta

?

← Prev (#16816759) Next (#16816761) →

C₂₉×#3046 #16816760

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

472 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)(31,33)(34,35,39,43)(36,40,45,49)(37,42,38,47)(41,46,48,44);(30,31,32,33)(34,36)(35,40)(37,46)(38,44)(39,45)(41,47)(42,48)(43,49);(34,36)(35,41)(37,44)(38,46)(39,45)(40,47)(42,49)(43,48);(34,37,39,38)(35,42,43,47)(36,44,45,46)(40,41,49,48)

Conjugacy classes & character table

928 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 1778);