Finite Group Databasebeta

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C₄×#936 #82322

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

652 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 19 points:

(1,2,3)(9,11)(13,17)(14,18);(12,14,15,18)(13,16,17,19);(2,3)(8,9,10,11)(12,13)(14,16)(15,17)(18,19);(4,5,6,7)

Conjugacy classes & character table

96 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(384, 14898);