Finite Group Databasebeta

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C₂²×#208 #5781

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

298 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 15 points:

(1,2)(3,4)(5,6,7)(9,12)(13,15);(6,7)(8,9,10,13,11,12,14,15);(3,4);(1,2)

Conjugacy classes & character table

72 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(192, 1340);