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C₂×#4065 #66099

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

Conjugacy classes & character table

56 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(320, 1437);