Finite Group Databasebeta

?

← Prev (#27192667) Next (#27192669) →

C₁₀₃×#3302 #27192668

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

386 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 127 points:

(1,2,4,6)(3,7,8,5)(9,10)(11,14)(12,20)(13,17)(15,21)(16,19)(18,23)(22,24)(25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127);(1,3)(2,5)(4,8)(6,7)(9,11,13,19)(10,14,17,16)(12,18,22,21)(15,20,23,24);(9,12)(10,15)(11,18)(13,22)(14,20)(16,24)(17,23)(19,21);(3,8)(5,7)(9,11,13,19)(10,14,17,16)(12,18,22,21)(15,20,23,24)

Conjugacy classes & character table

3605 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13184, 2034);