Finite Group Databasebeta

← Group #269031

Character table — Group #269031

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222222222444444222444888888882444444444444444448888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111
χ311111111111111111111111111-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-11-1-1111111-1-1-1-1
χ5111111111111111111111-1-11-1-111111111-111-1-1-1-11-1-11-1-1-11111-1-1-1-1
χ6111111111111111111111-1-11-1-111111111-1-1-11111-11-1-1111-1-1-1-1-1-1-1-1
χ7111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-11-111-1-1-1-11111
χ8111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-11-1-111111111
χ9111111111111-1-111-1-111-111-1111111-1-1-1-1-1111111-1-1-1-1-1-1-111-1-111-1-1
χ10111111111111-1-111-1-111-111-1111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-11111-1-1
χ11111111111111-1-111-1-111-111-111-1-1-1-11111-11111-1-1-1-1-1-1-111-1-111-1-111
χ12111111111111-1-111-1-111-111-111-1-1-1-11111-1-1-1-1-11111-111-1-111-1-1-1-111
χ13111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1-111-111111-1-1-1-111
χ14111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11-1-111111-111-1-1-1-1-111-1-111
χ15111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111111-1-111-111-11-1-1-1-11111-1-1
χ16111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111-1-111-1-11-111-11111-1-111-1-1
χ1722222222222222-2-2-2-2-2-2222-2-2-200000000-2000000002000000000000
χ1822222222222222-2-2-2-2-2-22-2-2-22200000000200000000-2000000000000
χ19222222222222-2-2-2-222-2-2-2222-2-200000000200000000-2000000000000
χ20222222222222-2-2-2-222-2-2-2-2-222200000000-2000000002000000000000
χ2122222222-2-2-2-2222-2222-2-200-200000000000002-2000200-20000000000
χ2222222222-2-2-2-2222-2222-2-200-20000000000000-22000-20020000000000
χ2322222222-2-2-2-222-22-2-2-22-2002000000000002-20000200-200000000000
χ2422222222-2-2-2-222-22-2-2-22-200200000000000-220000-200200000000000
χ2522222222-2-2-2-2-2-22-2-2-22-2200200000000000002-2000-20020000000000
χ2622222222-2-2-2-2-2-22-2-2-22-220020000000000000-22000200-20000000000
χ2722222222-2-2-2-2-2-2-2222-22200-2000000000002-20000-200200000000000
χ2822222222-2-2-2-2-2-2-2222-22200-200000000000-220000200-200000000000
χ2922-2-2-2-2222-22-2002200-2-202-202-200002i2i−2i−2i000000000000000000002i−2i
χ3022-2-2-2-2222-22-2002200-2-202-202-20000−2i−2i2i2i00000000000000000000−2i2i
χ3122-2-2-2-2222-22-2002200-2-20-220-2200002i2i−2i−2i00000000000000000000−2i2i
χ3222-2-2-2-2222-22-2002200-2-20-220-220000−2i−2i2i2i000000000000000000002i−2i
χ3322-2-2-2-2222-22-200-2-2002202-20-2222-2-200000000000000000000002-200
χ3422-2-2-2-2222-22-200-2-2002202-20-22-2-2220000000000000000000000-2200
χ3522-2-2-2-2222-22-200-2-200220-2202-222-2-20000000000000000000000-2200
χ3622-2-2-2-2222-22-200-2-200220-2202-2-2-22200000000000000000000002-200
χ374444-4-4-4-44-4-440000000000000022−2222−2200000000000000000000000000
χ384444-4-4-4-44-4-4400000000000000−2222−222200000000000000000000000000
χ394444-4-4-4-4-444-400000000000000000022−2222−220000000000000000000000
χ404444-4-4-4-4-444-4000000000000000000−2222−22220000000000000000000000
χ4144-4-444-4-444-4-40000000000000022−22−222200000000000000000000000000
χ4244-4-444-4-444-4-400000000000000−222222−2200000000000000000000000000
χ4344-4-444-4-4-4-4440000000000000000002i2−2i2−2i22i20000000000000000000000
χ4444-4-444-4-4-4-444000000000000000000−2i22i22i2−2i20000000000000000000000
χ4544-4-4-4-444-44-44004-400-44000000000000000000000000000000000000
χ4644-4-4-4-444-44-4400-44004-4000000000000000000000000000000000000
χ474-44-44-44-4000000004-40000000000000000000002i−2i000002i−2i00000000
χ484-44-44-44-4000000004-4000000000000000000000−2i2i00000−2i2i00000000
χ494-44-44-44-400000000-440000000000000000000002i−2i00000−2i2i00000000
χ504-44-44-44-400000000-44000000000000000000000−2i2i000002i−2i00000000
χ514-44-4-44-4400004-400000000000000000000000000000000002-22-20000
χ524-44-4-44-4400004-40000000000000000000000000000000000-22-220000
χ534-44-4-44-440000-4400000000000000000000000000000000002-2-220000
χ544-44-4-44-440000-440000000000000000000000000000000000-222-20000
χ558-8-888-8-88000000000000000000000000000000000000000000000000
χ568-8-88-888-8000000000000000000000000000000000000000000000000

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