Finite Group Databasebeta

?

← Prev (#16816718) Next (#16816720) →

C₂₉×#3005 #16816719

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

758 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)(32,33)(34,35)(36,43)(37,41)(38,46)(39,42)(40,44)(45,48)(47,49);(34,36)(35,40)(37,44)(38,47)(39,45)(41,48)(42,49)(43,46);(31,33)(34,37,39,38)(35,41,42,46)(36,44,45,47)(40,48,49,43);(35,42)(40,49)(41,46)(43,48)

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, 1737);