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C₂₃×#3349 #15670968

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

336 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)(34,38)(35,42)(36,45)(37,40)(39,41)(43,47)(44,46);(24,26)(25,29)(27,30)(28,31)(32,34,37,36)(33,38,40,45)(35,43,44,41)(39,42,47,46);(24,27,28,25)(26,30,31,29)(32,35)(33,39)(34,41)(36,43)(37,44)(38,46)(40,47)(42,45);(26,31)(29,30)(32,34,37,36)(33,38,40,45)(35,41,44,43)(39,46,47,42)

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, 2081);