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C₂₃×#3388 #15671007

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

334 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 47 points:

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

Conjugacy classes & character table

667 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 2120);