Finite Group Databasebeta

← Group #300441

Character table — Group #300441

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222444444444448888888888888161616161616161616161616161632323232
order12222244444448888882444444488888244444448888882288
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ311111111111111111111111-1-1-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ51111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-111-1-1
χ71111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ81111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-11111-1-111
χ91111111111111-1-1-1-1-1-111111111-1-1-1-1-11-11-111-1-1-1-111-1-11-11-1
χ101111111111111-1-1-1-1-1-111111111-1-1-1-1-1-11-11-1-111-1-111-1-1-11-11
χ111111111111111-1-1-1-1-1-11111-1-1-1-1-111111-11-111-1-1-1-1-1-111-11-11
χ121111111111111-1-1-1-1-1-11111-1-1-1-1-11111-11-11-1-111-1-1-1-1111-11-1
χ131111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-11111-1-111-111-1
χ141111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1111-1-111-1-1111-1-11
χ151111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-1111111-1-11-1-11
χ161111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1111-1-11111-1-1-111-1
χ1722222222-22-2-2-22222-2-200000000-2000000002-22-20000000000
χ1822222222-22-2-2-22222-2-200000000-200000000-22-220000000000
χ1922222222-22-2-2-2-2-2-2-222000000002000000002-2-220000000000
χ2022222222-22-2-2-2-2-2-2-22200000000200000000-222-20000000000
χ21222222-2-2-2-22-220000002-22-222-2-20000000000000002-2000000
χ22222222-2-2-2-22-220000002-22-2-2-222000000000000000-22000000
χ23222222-2-2-2-22-22000000-22-2222-2-2000000000000000-22000000
χ24222222-2-2-2-22-22000000-22-22-2-2220000000000000002-2000000
χ252222-2-2222-2-2-2222-2-22222-2-20000-20000000000002-200000000
χ262222-2-2222-2-2-2222-2-222-2-2220000-2000000000000-2200000000
χ272222-2-2222-2-2-22-2-222-2-222-2-200002000000000000-2200000000
χ282222-2-2222-2-2-22-2-222-2-2-2-222000020000000000002-200000000
χ292222-2-222-2-222-222-2-2-2-200000000200002-2-2200000000000000
χ302222-2-222-2-222-222-2-2-2-20000000020000-222-200000000000000
χ312222-2-222-2-222-2-2-2222200000000-2000022-2-200000000000000
χ322222-2-222-2-222-2-2-2222200000000-20000-2-22200000000000000
χ332222-2-2-2-2-22-2220000002-2-220000022-2-20000000000002-20000
χ342222-2-2-2-2-22-2220000002-2-2200000-2-222000000000000-220000
χ352222-2-2-2-2-22-222000000-222-20000022-2-2000000000000-220000
χ362222-2-2-2-2-22-222000000-222-200000-2-2220000000000002-20000
χ37444444-4-44-4-44-40000000000000000000000000000000000000
χ384444-4-4-4-4444-4-40000000000000000000000000000000000000
χ3944-4-4004-400000004-40000002i−2i2i−2i02i−2i2i−2i000000000000000000
χ4044-4-4004-400000004-4000000−2i2i−2i2i0−2i2i−2i2i000000000000000000
χ4144-4-4004-40000000-440000002i−2i2i−2i0−2i2i−2i2i000000000000000000
χ4244-4-4004-40000000-44000000−2i2i−2i2i02i−2i2i−2i000000000000000000
χ4344-4-400-440000000004-400002i−2i−2i2i02i−2i−2i2i000000000000000000
χ4444-4-400-440000000004-40000−2i2i2i−2i0−2i2i2i−2i000000000000000000
χ4544-4-400-44000000000-4400002i−2i−2i2i0−2i2i2i−2i000000000000000000
χ4644-4-400-44000000000-440000−2i2i2i−2i02i−2i−2i2i000000000000000000
χ478-88-800000000042−4200000000000000000000000000000000000
χ488-88-8000000000−424200000000000000000000000000000000000
χ498-8-888-800000000000000000000000000000000000000000000
χ508-8-88-8800000000000000000000000000000000000000000000

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