Finite Group Databasebeta

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C₂²×#1157 #90606

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

890 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 19 points:

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

Conjugacy classes & character table

136 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(448, 1368);