Finite Group Databasebeta

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C₂₃×#3006 #15670625

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

806 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 35 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)(29,33)(30,31)(34,35);(28,29)(30,33)(31,35)(32,34);(25,27);(28,30,32,31)(29,33,34,35)

Conjugacy classes & character table

736 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 1738);