Finite Group Databasebeta

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C₂×#6453 #90190

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

226 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 25 points:

(1,2)(3,4,6,8,9,7,5)(10,12,13,17)(11,14,15,16)(19,23)(20,24);(18,20,21,24)(19,22,23,25);(4,5)(6,7)(8,9)(10,11,13,15)(12,16,17,14)(18,19)(20,22)(21,23)(24,25);(1,2)

Conjugacy classes & character table

88 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(448, 952);