Finite Group Databasebeta

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D₁₁×#737 #13184142

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

132 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 38 points:

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

Conjugacy classes & character table

231 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1782, 66);