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C₂×#3951 #65396

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

Conjugacy classes & character table

92 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(320, 734);