Finite Group Databasebeta

← Group #335304

Character table — Group #335304

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111111112222222244888888888888888816161616161616161616161616161616323232
order12222222444444444422448888888888884444444488888888444
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-11-111-111111-1-1-1-1-1-1-11-1
χ31111111111111111111111-1-1-1-11111-1-1-1-1-111-11111-1-111-1-1-1-1-1-11
χ41111111111111111111111-1-1-1-1-1-1-1-11111-1-11-1-1111-1-1-1-111111-1-1
χ511111111111111111111-1-11111111111111-1-11-11-1-1-1-11111-1-1-1-1-1
χ611111111111111111111-1-11111-1-1-1-1-1-1-1-111-1111-1-1-1-1-1-1-1-1111-11
χ711111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-11111-1-11111-1
χ811111111111111111111-1-1-1-1-1-1-1-1-1-11111-11-1-111-1-111-1-111-1-1-111
χ9111111111111111111-1-111111111111111-111-11-1-1-111-1-1-1-111-1-1-1
χ10111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1111111-1-11-11
χ11111111111111111111-1-111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-111-1-111-1
χ12111111111111111111-1-111-1-1-1-1-1-1-1-111111-111-1-1-1-1-1-111-1-111-111
χ13111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111
χ14111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-11-111-1-1111111-11-1
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-11-1-11111-1-11111-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1111111-1-1-1-11-1-1
χ172222222222-2-222-2-2-2-2220022-2-200000000200-20-20000000000000
χ182222222222-2-222-2-2-2-22200-2-22200000000-20020-20000000000000
χ192222222222-2-222-2-2-2-2-2-20022-2-200000000-2002020000000000000
χ202222222222-2-222-2-2-2-2-2-200-2-22200000000200-2020000000000000
χ2122222222-2-222-2-222-2-20022000022-2-2000002-20-200000000000000
χ2222222222-2-222-2-222-2-200220000-2-22200000-2-20200000000000000
χ2322222222-2-222-2-222-2-200-2-2000022-2-200000-220200000000000000
χ2422222222-2-222-2-222-2-200-2-20000-2-22200000220-200000000000000
χ2522-2-22-2-222222-2-2-2-22-200000000000000000000002-200002i−2i2i−2i000
χ2622-2-22-2-222222-2-2-2-22-200000000000000000000002-20000−2i2i−2i2i000
χ2722-2-22-2-222222-2-2-2-22-20000000000000000000000-2200002i−2i−2i2i000
χ2822-2-22-2-222222-2-2-2-22-20000000000000000000000-220000−2i2i2i−2i000
χ2944444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000
χ30444-4-44-4-44-4004-400000000000000002222−22−220000000000000000000
χ31444-4-44-4-44-4004-40000000000000000−22−2222220000000000000000000
χ32444-4-44-4-4-4400-4400000000004-4000000000000000000000000000
χ33444-4-44-4-4-4400-440000000000-44000000000000000000000000000
χ3444-44-4-44-44-400-4400004-4000000000000000000000000000000000
χ3544-44-4-44-44-400-440000-44000000000000000000000000000000000
χ3644-44-4-44-4-44004-400000000000000000000000000000022−220000000
χ3744-44-4-44-4-44004-4000000000000000000000000000000−22220000000
χ3844-4-44-4-4444-4-4-4-444-4400000000000000000000000000000000000
χ3944-4-44-4-44-4-44444-4-4-4400000000000000000000000000000000000
χ4044-4-44-4-44-4-4-4-444444-400000000000000000000000000000000000
χ414-4444-4-4-40000000000000022−22000022−222-22-20000000000000000000
χ424-4444-4-4-40000000000000022−220000−2222-22-220000000000000000000
χ434-4444-4-4-400000000000000−2222000022−22-22-220000000000000000000
χ444-4444-4-4-400000000000000−22220000−22222-22-20000000000000000000
χ454-44-4-4-444004-4004-40000000000000022−22−22220000000000000000000
χ464-44-4-4-444004-4004-400000000000000−222222−220000000000000000000
χ474-44-4-4-44400-4400-4400000000004-40000000000000000000000000
χ484-44-4-4-44400-4400-440000000000-440000000000000000000000000
χ494-4-44-44-44004-400-4400004-40000000000000000000000000000000
χ504-4-44-44-44004-400-440000-440000000000000000000000000000000
χ514-4-44-44-4400-44004-40000000000000000000000000022−22000000000
χ524-4-44-44-4400-44004-400000000000000000000000000−2222000000000
χ538-8-8-8888-8000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).