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C₄₇×#737 #16838356

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

66 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 74 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47)(48,49,52)(50,54,60)(51,55,59)(53,61,58)(56,63,68)(57,64,67)(62,69,66)(65,71,73)(70,74,72);(49,53,55)(52,59,61)(54,62,64)(60,67,69)(63,70,71)(68,73,74);(48,50,56,51,57,65,58,66,72)(49,54,63,55,64,71,53,62,70)(52,60,68,59,67,73,61,69,74)

Conjugacy classes & character table

1551 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3807, 14);