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C₂₃×#2929 #15670548

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

520 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 43 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)(26,27)(28,29,31,35,32,34,38,41)(30,33,36,40,37,39,42,43);(25,27);(28,30,31,36,32,37,38,42)(29,33,35,40,34,39,41,43);(29,34)(33,39)(35,41)(40,43)

Conjugacy classes & character table

1288 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 1661);