Finite Group Databasebeta

?

← Prev (#16816755) Next (#16816757) →

C₂₉×#3042 #16816756

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

494 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)(34,35,38,42)(36,39,43,47)(37,40,45,41)(44,46,49,48);(30,31,32,33)(34,36)(35,39)(37,44)(38,43)(40,46)(41,48)(42,47)(45,49);(35,40)(37,45)(39,46)(41,42)(44,49)(47,48);(36,43)(39,47)(44,49)(46,48)

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, 1774);