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C₂₃×#3538 #15671157

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1014 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 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)(25,28)(26,30)(32,33,37,39)(34,40,42,35)(36,44,45,38)(41,43,47,46);(25,28)(29,31)(32,34,37,42)(33,35,39,40)(36,41,45,47)(38,43,44,46);(24,25)(26,29)(27,28)(30,31);(24,26)(25,29)(27,30)(28,31)(32,35)(33,34)(36,43)(37,40)(38,41)(39,42)(44,47)(45,46);(32,36,37,45)(33,38,39,44)(34,41,42,47)(35,43,40,46)

Conjugacy classes & character table

874 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 2270);