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C₂×#4223 #66503

• metacyclic
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

16 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 43 points:

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

Conjugacy classes & character table

28 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(328, 13);