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C₂×#6386 #89869

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

90 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 25 points:

(1,2)(3,4,6,8,9,7,5)(11,15)(16,21)(17,22)(23,25);(4,5)(6,7)(8,9)(10,11,12,16,13,17,18,23,14,15,19,21,20,22,24,25);(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, 631);