Finite Group Databasebeta

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C₂×#4036 #65833

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

226 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 23 points:

(1,2)(3,4,6,7,5)(8,10,11,15)(9,12,13,14)(17,21)(18,22);(16,18,19,22)(17,20,21,23);(4,5)(6,7)(8,9,11,13)(10,14,15,12)(16,17)(18,20)(19,21)(22,23);(1,2)

Conjugacy classes & character table

68 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(320, 1171);