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C₂×#6482 #90456

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

266 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)(10,12,14,18)(11,16,15,24)(13,22,23,20)(17,25,21,19);(1,2)(10,11,14,15)(12,19,18,25)(13,21,23,17)(16,22,24,20);(4,5)(6,7)(8,9)(11,15)(12,18)(17,21)(20,22);(1,2)

Conjugacy classes & character table

70 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(448, 1218);