Finite Group Databasebeta

← Group #317913

Character table — Group #317913

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222222444444444488888888161616161616161616161616161616161616161616161616
order12222244444444448888888844448888224444448888888888888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-11-1-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-111-1-11-1111-11111-1-1-1-1-1-111-1-1-1-111
χ711111111111111111111-1-1-1-1-1-1-1-111-1-1-11-1-1-11-1-111111111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1
χ91111111111111111-1-1-1-11111-1-1-1-1-1-111111-1-1111-1-111-1-1-1-1-1-111-1-111
χ101111111111111111-1-1-1-11111-1-1-1-1-1-1111-11-1-1-1-1-11111-1-11111-1-111-1-1
χ111111111111111111-1-1-1-11111-1-1-1-1-1-111-11-11111111-1-111-1-1-1-1-1-111-1-1
χ121111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-111111111-1-111
χ131111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-11-1-111-1-111-1-11111-1-1-1-1
χ141111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-111-1-1-1-11111-1-1-1-11111
χ151111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1111-1-1-1-111-1-1-1-111-1-11111
χ161111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1111111-1-111-1-111-1-1-1-1
χ17222222-2-2-22222-2-2-22222222222-2-2-2-2-2-2000000000000000000000000
χ18222222-2-2-22222-2-2-22222-2-2-2-2-2-222-2-222000000000000000000000000
χ19222222-2-2-22222-2-2-2-2-2-2-22222-2-22222-2-2000000000000000000000000
χ20222222-2-2-22222-2-2-2-2-2-2-2-2-2-2-222-2-22222000000000000000000000000
χ212222-2-222-222-2-2-22-2000022-2-20000002-2000000000000002i−2i2i−2i000000
χ222222-2-222-222-2-2-22-2000022-2-20000002-200000000000000−2i2i−2i2i000000
χ232222-2-222-222-2-2-22-20000-2-222000000-22000000000000002i−2i−2i2i000000
χ242222-2-222-222-2-2-22-20000-2-222000000-2200000000000000−2i2i2i−2i000000
χ252222-2-222-2-2-222-2-2222-2-2000000002-20000000000002i−2i2i−2i0000000000
χ262222-2-222-2-2-222-2-2222-2-2000000002-2000000000000−2i2i−2i2i0000000000
χ272222-2-222-2-2-222-2-22-2-22200000000-220000000000002i−2i−2i2i0000000000
χ282222-2-222-2-2-222-2-22-2-22200000000-22000000000000−2i2i2i−2i0000000000
χ292222-2-2-2-2222-2-22-22000022-2-2000000-2202000-22-20000000000000000
χ302222-2-2-2-2222-2-22-22000022-2-2000000-220-20002-220000000000000000
χ312222-2-2-2-2222-2-22-220000-2-2220000002-202000-2-220000000000000000
χ322222-2-2-2-2222-2-22-220000-2-2220000002-20-200022-20000000000000000
χ332222-2-2-2-22-2-22222-222-2-200000000-220020-22-20000000000000000000
χ342222-2-2-2-22-2-22222-222-2-200000000-2200-202-220000000000000000000
χ352222-2-2-2-22-2-22222-2-2-222000000002-20020-2-220000000000000000000
χ362222-2-2-2-22-2-22222-2-2-222000000002-200-2022-20000000000000000000
χ3722-2-22-20002-22-20002i−2i2i−2i2i−2i2i−2i2-2000000000000002−2000000002−2i2−i2i2−i2
χ3822-2-22-20002-22-20002i−2i2i−2i2i−2i2i−2i2-200000000000000−2200000000−22−i2i2−i2i2
χ3922-2-22-20002-22-20002i−2i2i−2i−2i2i−2i2i-22000000000000002−200000000−22−i2i2i2−i2
χ4022-2-22-20002-22-20002i−2i2i−2i−2i2i−2i2i-2200000000000000−22000000002−2i2−i2−i2i2
χ4122-2-22-20002-22-2000−2i2i−2i2i2i−2i2i−2i-22000000000000002−200000000−22i2−i2−i2i2
χ4222-2-22-20002-22-2000−2i2i−2i2i2i−2i2i−2i-2200000000000000−22000000002−2−i2i2i2−i2
χ4322-2-22-20002-22-2000−2i2i−2i2i−2i2i−2i2i2-2000000000000002−2000000002−2−i2i2−i2i2
χ4422-2-22-20002-22-2000−2i2i−2i2i−2i2i−2i2i2-200000000000000−2200000000−22i2−i2i2−i2
χ45444444444-4-4-4-44-4-40000000000000000000000000000000000000000
χ46444444-4-4-4-4-4-4-4-4440000000000000000000000000000000000000000
χ4744-4-44-4000-44-4400000000000004i−4i0000000000000000000000000000
χ4844-4-44-4000-44-440000000000000−4i4i0000000000000000000000000000
χ4944-4-4-440004-4-4400000004i−4i−4i4i00000000000000000000000000000000
χ5044-4-4-440004-4-440000000−4i4i4i−4i00000000000000000000000000000000
χ5144-4-4-44000-444-40004i−4i−4i4i000000000000000000000000000000000000
χ5244-4-4-44000-444-4000−4i4i4i−4i000000000000000000000000000000000000
χ538-88-8000080000-8000000000000000000000000000000000000000000
χ548-88-80000-800008000000000000000000000000000000000000000000
χ558-8-88008i−8i000000000000000000000000000000000000000000000000
χ568-8-8800−8i8i000000000000000000000000000000000000000000000000

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