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C₂²×C₁₀₃⋊C₃ #11927784

• metacyclic
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

20 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 107 points:

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

Conjugacy classes & character table

148 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1236, 9);