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C₂×C₃₁×#343 #16841674

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

432 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 45 points:

(1,2)(15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45);(7,8,9,12,10,11,13,14);(3,4,5,6)(8,11)(9,13)

Conjugacy classes & character table

1364 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 473);