Finite Group Databasebeta

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C₂×#3954 #65412

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

106 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 23 points:

(3,4,6,7,5)(8,10,11,19,13,20,12,21)(9,14,15,18,17,22,16,23);(4,5)(6,7)(8,9,12,16,13,17,11,15)(10,18,19,22,20,23,21,14);(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, 750);