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C₂₃×#3355 #15670974

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

360 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)(25,29)(27,30)(28,31)(32,34)(33,37)(35,42)(36,43)(38,46)(39,41)(40,45)(44,47);(24,27,28,25)(26,30,31,29)(33,38)(34,42)(36,44)(37,45)(39,40)(41,46);(26,31)(29,30)(33,39)(34,42)(38,40)(43,47)

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, 2087);