Finite Group Databasebeta

← Group #325813

Character table — Group #325813

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111111112222222222222222222222224444444444444444448888888888888888888888888888888832323232
order12222222444444448888888888888888448888888888888888444444444444444488888888888888884444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1
χ91111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1
χ101111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-11-11
χ111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11
χ121111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-11
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-11
χ172222222222-2-222-2-20000000022222222-2-20000-2-2-2-2000000000000000022-2-222-2-200000000000000000000
χ182222222222-2-222-2-20000000022222222-2-20000-2-2-2-20000000000000000-2-222-2-22200000000000000000000
χ192222222222-2-222-2-200000000-2-2-2-2-2-2-2-2-2-200002222000000000000000022-2-2-2-22200000000000000000000
χ202222222222-2-222-2-200000000-2-2-2-2-2-2-2-2-2-2000022220000000000000000-2-22222-2-200000000000000000000
χ2122222222-2-222-2-2222222222200000000-2-2-2-2-2-200000000000022-2-222-2-20000000000000000000000000000
χ2222222222-2-222-2-2222222222200000000-2-2-2-2-2-2000000000000-2-222-2-2220000000000000000000000000000
χ2322222222-2-222-2-222-2-2-2-2-2-2-2-200000000-2-2222200000000000022-2-2-2-2220000000000000000000000000000
χ2422222222-2-222-2-222-2-2-2-2-2-2-2-200000000-2-22222000000000000-2-22222-2-20000000000000000000000000000
χ252222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-2-2222-2-222-2-22222-2-2-2-2000000000000000000000000000000000000
χ262222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-22222-2222-2-2-2-222-2-2-2-22222000000000000000000000000000000000000
χ272222-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-2-22-2-22222-2-2-2-2-2-22222000000000000000000000000000000000000
χ282222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-22222-22-2-222-2-2222222-2-2-2-2000000000000000000000000000000000000
χ292222-2-2-2-222-2-2-2-222000000002222-2-2-2-22-20000-2-2220000000000000000000000000000000022-2-222-2-20000
χ302222-2-2-2-222-2-2-2-222000000002222-2-2-2-22-20000-2-22200000000000000000000000000000000-2-222-2-2220000
χ312222-2-2-2-222-2-2-2-22200000000-2-2-2-222222-2000022-2-20000000000000000000000000000000022-2-2-2-2220000
χ322222-2-2-2-222-2-2-2-22200000000-2-2-2-222222-2000022-2-200000000000000000000000000000000-2-22222-2-20000
χ332222-2-2-2-2-2-22222-2-22222-2-2-2-2000000002-2-2-222000000000000000000000000000022-2-222-2-2000000000000
χ342222-2-2-2-2-2-22222-2-22222-2-2-2-2000000002-2-2-2220000000000000000000000000000-2-222-2-222000000000000
χ352222-2-2-2-2-2-22222-2-2-2-2-2-22222000000002-222-2-2000000000000000000000000000022-2-2-2-222000000000000
χ362222-2-2-2-2-2-22222-2-2-2-2-2-22222000000002-222-2-20000000000000000000000000000-2-22222-2-2000000000000
χ3722-2-222-2-2002-2002-222-2-222-2-2i2i2−i2−i2i2i2−i2−i2000000i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2002i−2i002i−2i000000002−22−22−22−2000000000000
χ3822-2-222-2-2002-2002-222-2-222-2-2i2i2−i2−i2i2i2−i2−i2000000i2−i2i2−i2i2i2−i2−i2i2i2−i2−i200−2i2i00−2i2i00000000−22−22−22−22000000000000
χ3922-2-222-2-2002-2002-222-2-222-2-2−i2−i2i2i2−i2−i2i2i2000000−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2002i−2i002i−2i00000000−22−22−22−22000000000000
χ4022-2-222-2-2002-2002-222-2-222-2-2−i2−i2i2i2−i2−i2i2i2000000−i2i2−i2i2−i2−i2i2i2−i2−i2i2i200−2i2i00−2i2i000000002−22−22−22−2000000000000
χ4122-2-222-2-2002-2002-2-2-222-2-222i2i2−i2−i2i2i2−i2−i2000000i2−i2i2−i2−i2−i2i2i2−i2−i2i2i2002i−2i00−2i2i000000002−22−2−22−22000000000000
χ4222-2-222-2-2002-2002-2-2-222-2-222i2i2−i2−i2i2i2−i2−i2000000i2−i2i2−i2−i2−i2i2i2−i2−i2i2i200−2i2i002i−2i00000000−22−222−22−2000000000000
χ4322-2-222-2-2002-2002-2-2-222-2-222−i2−i2i2i2−i2−i2i2i2000000−i2i2−i2i2i2i2−i2−i2i2i2−i2−i2002i−2i00−2i2i00000000−22−222−22−2000000000000
χ4422-2-222-2-2002-2002-2-2-222-2-222−i2−i2i2i2−i2−i2i2i2000000−i2i2−i2i2i2i2−i2−i2i2i2−i2−i200−2i2i002i−2i000000002−22−2−22−22000000000000
χ4522-2-2-2-222002-200-2222-2-2-2-222i2i2−i2−i2−i2−i2i2i2000000i2−i2−i2i2i2i2−i2−i2−i2−i2i2i22i−2i002i−2i00000000002−2−222−2−22000000000000
χ4622-2-2-2-222002-200-2222-2-2-2-222i2i2−i2−i2−i2−i2i2i2000000i2−i2−i2i2i2i2−i2−i2−i2−i2i2i2−2i2i00−2i2i0000000000−222−2−222−2000000000000
χ4722-2-2-2-222002-200-2222-2-2-2-222−i2−i2i2i2i2i2−i2−i2000000−i2i2i2−i2−i2−i2i2i2i2i2−i2−i22i−2i002i−2i0000000000−222−2−222−2000000000000
χ4822-2-2-2-222002-200-2222-2-2-2-222−i2−i2i2i2i2i2−i2−i2000000−i2i2i2−i2−i2−i2i2i2i2i2−i2−i2−2i2i00−2i2i00000000002−2−222−2−22000000000000
χ4922-2-2-2-222002-200-22-2-22222-2-2i2i2−i2−i2−i2−i2i2i2000000i2−i2−i2i2−i2−i2i2i2i2i2−i2−i22i−2i00−2i2i00000000002−2−22−222−2000000000000
χ5022-2-2-2-222002-200-22-2-22222-2-2i2i2−i2−i2−i2−i2i2i2000000i2−i2−i2i2−i2−i2i2i2i2i2−i2−i2−2i2i002i−2i0000000000−222−22−2−22000000000000
χ5122-2-2-2-222002-200-22-2-22222-2-2−i2−i2i2i2i2i2−i2−i2000000−i2i2i2−i2i2i2−i2−i2−i2−i2i2i22i−2i00−2i2i0000000000−222−22−2−22000000000000
χ5222-2-2-2-222002-200-22-2-22222-2-2−i2−i2i2i2i2i2−i2−i2000000−i2i2i2−i2i2i2−i2−i2−i2−i2i2i2−2i2i002i−2i00000000002−2−22−222−2000000000000
χ532-22-22-22-22-2002-200i2−i2i2−i2i2−i2i2−i22-22-22-22-200i2−i2i2−i20000i2−i2i2−i2i2−i2i2−i200000000002i−2i002i−2i000000002−22−22−22−20000
χ542-22-22-22-22-2002-200i2−i2i2−i2i2−i2i2−i22-22-22-22-200i2−i2i2−i20000i2−i2i2−i2i2−i2i2−i20000000000−2i2i00−2i2i00000000−22−22−22−220000
χ552-22-22-22-22-2002-200i2−i2i2−i2i2−i2i2−i2-22-22-22-2200i2−i2i2−i20000−i2i2−i2i2−i2i2−i2i200000000002i−2i00−2i2i000000002−22−2−22−220000
χ562-22-22-22-22-2002-200i2−i2i2−i2i2−i2i2−i2-22-22-22-2200i2−i2i2−i20000−i2i2−i2i2−i2i2−i2i20000000000−2i2i002i−2i00000000−22−222−22−20000
χ572-22-22-22-22-2002-200−i2i2−i2i2−i2i2−i2i22-22-22-22-200−i2i2−i2i20000−i2i2−i2i2−i2i2−i2i200000000002i−2i002i−2i00000000−22−22−22−220000
χ582-22-22-22-22-2002-200−i2i2−i2i2−i2i2−i2i22-22-22-22-200−i2i2−i2i20000−i2i2−i2i2−i2i2−i2i20000000000−2i2i00−2i2i000000002−22−22−22−20000
χ592-22-22-22-22-2002-200−i2i2−i2i2−i2i2−i2i2-22-22-22-2200−i2i2−i2i20000i2−i2i2−i2i2−i2i2−i200000000002i−2i00−2i2i00000000−22−222−22−20000
χ602-22-22-22-22-2002-200−i2i2−i2i2−i2i2−i2i2-22-22-22-2200−i2i2−i2i20000i2−i2i2−i2i2−i2i2−i20000000000−2i2i002i−2i000000002−22−2−22−220000
χ612-22-2-22-222-200-2200i2−i2i2−i2−i2i2−i2i22-22-2-22-2200i2−i2−i2i20000i2−i2i2−i2−i2i2−i2i2000000002i−2i002i−2i00000000002−2−222−2−220000
χ622-22-2-22-222-200-2200i2−i2i2−i2−i2i2−i2i22-22-2-22-2200i2−i2−i2i20000i2−i2i2−i2−i2i2−i2i200000000−2i2i00−2i2i0000000000−222−2−222−20000
χ632-22-2-22-222-200-2200i2−i2i2−i2−i2i2−i2i2-22-222-22-200i2−i2−i2i20000−i2i2−i2i2i2−i2i2−i2000000002i−2i00−2i2i00000000002−2−22−222−20000
χ642-22-2-22-222-200-2200i2−i2i2−i2−i2i2−i2i2-22-222-22-200i2−i2−i2i20000−i2i2−i2i2i2−i2i2−i200000000−2i2i002i−2i0000000000−222−22−2−220000
χ652-22-2-22-222-200-2200−i2i2−i2i2i2−i2i2−i22-22-2-22-2200−i2i2i2−i20000−i2i2−i2i2i2−i2i2−i2000000002i−2i002i−2i0000000000−222−2−222−20000
χ662-22-2-22-222-200-2200−i2i2−i2i2i2−i2i2−i22-22-2-22-2200−i2i2i2−i20000−i2i2−i2i2i2−i2i2−i200000000−2i2i00−2i2i00000000002−2−222−2−220000
χ672-22-2-22-222-200-2200−i2i2−i2i2i2−i2i2−i2-22-222-22-200−i2i2i2−i20000i2−i2i2−i2−i2i2−i2i2000000002i−2i00−2i2i0000000000−222−22−2−220000
χ682-22-2-22-222-200-2200−i2i2−i2i2i2−i2i2−i2-22-222-22-200−i2i2i2−i20000i2−i2i2−i2−i2i2−i2i200000000−2i2i002i−2i00000000002−2−22−222−20000
χ6944444444-4-4-4-4-4-4-4-40000000000000000440000000000000000000000000000000000000000000000000000
χ704444-4-4-4-4-4-4-4-444440000000000000000-440000000000000000000000000000000000000000000000000000
χ7144-4-444-4-400-4400-44000000002i22i2−2i2−2i22i22i2−2i2−2i2000000−2i22i2−2i22i200000000000000000000000000000000000000000000
χ7244-4-444-4-400-4400-4400000000−2i2−2i22i22i2−2i2−2i22i22i20000002i2−2i22i2−2i200000000000000000000000000000000000000000000
χ7344-4-4-4-44400-44004-4000000002i22i2−2i2−2i2−2i2−2i22i22i2000000−2i22i22i2−2i200000000000000000000000000000000000000000000
χ7444-4-4-4-44400-44004-400000000−2i2−2i22i22i22i22i2−2i2−2i20000002i2−2i2−2i22i200000000000000000000000000000000000000000000
χ754-44-44-44-4-4400-44002i2−2i22i2−2i22i2−2i22i2−2i20000000000−2i22i2−2i22i2000000000000000000000000000000000000000000000000
χ764-44-44-44-4-4400-4400−2i22i2−2i22i2−2i22i2−2i22i200000000002i2−2i22i2−2i2000000000000000000000000000000000000000000000000
χ774-44-4-44-44-44004-4002i2−2i22i2−2i2−2i22i2−2i22i20000000000−2i22i22i2−2i2000000000000000000000000000000000000000000000000
χ784-44-4-44-44-44004-400−2i22i2−2i22i22i2−2i22i2−2i200000000002i2−2i2−2i22i2000000000000000000000000000000000000000000000000
χ794-4-444-4-44000000002i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i20000000000-222-2-222-2000000000000000000000000000000000000
χ804-4-444-4-44000000002i2−2i2−2i22i22i2−2i2−2i22i2−2i22i22i2−2i2−2i22i22i2−2i200000000002-2-222-2-22000000000000000000000000000000000000
χ814-4-444-4-4400000000−2i22i22i2−2i2−2i22i22i2−2i22i2−2i2−2i22i22i2−2i2−2i22i200000000002-2-222-2-22000000000000000000000000000000000000
χ824-4-444-4-4400000000−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i20000000000-222-2-222-2000000000000000000000000000000000000
χ834-4-44-444-4000000002i2−2i2−2i22i2−2i22i22i2−2i22i2−2i2−2i22i2−2i22i22i2−2i20000000000-222-22-2-22000000000000000000000000000000000000
χ844-4-44-444-4000000002i2−2i2−2i22i2−2i22i22i2−2i2−2i22i22i2−2i22i2−2i2−2i22i200000000002-2-22-222-2000000000000000000000000000000000000
χ854-4-44-444-400000000−2i22i22i2−2i22i2−2i2−2i22i22i2−2i2−2i22i2−2i22i22i2−2i200000000002-2-22-222-2000000000000000000000000000000000000
χ864-4-44-444-400000000−2i22i22i2−2i22i2−2i2−2i22i2−2i22i22i2−2i22i2−2i2−2i22i20000000000-222-22-2-22000000000000000000000000000000000000

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