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C₂₃×#3403 #15671022

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

380 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)(25,29)(30,31)(32,33)(34,41)(35,39)(36,38)(37,42)(40,44)(43,45)(46,47);(24,25,28,29)(26,30,27,31)(32,34,35,42)(33,37,39,41)(36,43,44,47)(38,46,40,45);(24,26,28,27)(25,30,29,31)(33,38)(34,42)(36,44)(37,45)(39,40)(41,46);(24,27,28,26)(25,30,29,31)(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, 2135);