Finite Group Databasebeta

?

← Prev (#14560900) Next (#14560902) →

C₁₉×#3044 #14560901

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

458 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 55 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19)(21,23)(24,25,29,33)(26,30,35,44)(27,37,39,47)(28,40,42,32)(31,41,46,38)(34,48,49,55)(36,52,51,45)(43,53,54,50);(20,21,22,23)(24,26)(25,30)(27,34)(28,36)(29,35)(31,43)(32,45)(33,44)(37,48)(38,50)(39,49)(40,52)(41,53)(42,51)(46,54)(47,55);(24,27,29,39)(25,31,33,46)(26,34,35,49)(28,41,42,38)(30,43,44,54)(32,47,40,37)(36,53,51,50)(45,55,52,48);(26,35)(30,44)(34,49)(36,51)(43,54)(45,52)(48,55)(50,53)

Conjugacy classes & character table

608 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 1776);