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C₂×#6475 #90447

• 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)(11,16)(13,22)(14,20)(15,18)(17,24)(19,21)(23,25);(1,2)(11,15)(12,19)(13,21)(16,24)(18,25)(20,22);(4,5)(6,7)(8,9)(10,11)(12,18)(13,17)(14,15)(16,20)(19,24)(21,23)(22,25);(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, 1209);