Finite Group Databasebeta

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C₂×#4094 #66152

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

266 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)(9,13)(11,17)(12,16)(14,20)(15,19)(18,22)(21,23);(10,16)(13,19)(17,22)(20,23);(4,5)(6,7)(8,9,11,14,12,15,18,21)(10,13,17,20,16,19,22,23);(1,2)

Conjugacy classes & character table

80 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(320, 1490);