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C₂₃×#3550 #15671169

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1002 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)(32,33,37,35)(34,40,42,38)(36,43,44,39)(41,45,47,46);(25,28)(29,31)(32,34,37,42)(33,38,35,40)(36,41,44,47)(39,45,43,46);(24,25,27,28)(26,29,30,31);(24,26)(25,29)(27,30)(28,31)(32,35,37,33)(34,38,42,40)(36,43,44,39)(41,45,47,46);(32,36,37,44)(33,39,35,43)(34,41,42,47)(38,45,40,46)

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, 2282);