Finite Group Databasebeta

← Group #298613

Character table — Group #298613

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444161616161616161632323232
order12222222444444444444444488888888888888882244448888888888888888888888888888888888888888444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1
χ91111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ101111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ121111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1
χ131111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111-1-11
χ141111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-111-1
χ151111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-111-1
χ161111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-11-1-11
χ1722222222222222-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-222-2-2-2-2000000000000000000000000000000002222-2-2-2-2000000000000
χ1822222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-22222222222-2-2-2-200000000000000000000000000000000-2-2-2-22222000000000000
χ192222222222-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000000000-2-2-2-22222000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-222222222-2-22222000000000000000000000000000000002222-2-2-2-2000000000000
χ2122222222-2-222222222-2-2-2-2-2-20000000000000000-2-222-2-200000000000000002222-2-2-2-22222-2-2-2-200000000000000000000
χ2222222222-2-222222222-2-2-2-2-2-20000000000000000-2-222-2-20000000000000000-2-2-2-22222-2-2-2-2222200000000000000000000
χ2322222222-2-22222-2-2-2-22222-2-20000000000000000-2-2-2-2222222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ2422222222-2-22222-2-2-2-22222-2-20000000000000000-2-2-2-222-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
χ2522222222-2-2-2-2-2-22222-2-2-2-2-2-2000000000000000022-2-22200000000000000002222-2-2-2-2-2-2-2-2222200000000000000000000
χ2622222222-2-2-2-2-2-22222-2-2-2-2-2-2000000000000000022-2-2220000000000000000-2-2-2-222222222-2-2-2-200000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222-2-200000000000000002222-2-22222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222-2-200000000000000002222-2-2-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000
χ2922-2-222-2-2002i2i−2i−2i000022-2-2002222−2−2−2−22222−2−2−2−200002i−2i00002i2i−2i−2i000022-2-2i2i2−i2−i2i2i2−i2−i222−2−222−2−2i2i2−i2−i2i2i2−i2−i2000000000000
χ3022-2-222-2-2002i2i−2i−2i000022-2-2002222−2−2−2−22222−2−2−2−200002i−2i0000−2i−2i2i2i0000-2-222−i2−i2i2i2−i2−i2i2i2−2−222−2−222i2i2−i2−i2i2i2−i2−i2000000000000
χ3122-2-222-2-2002i2i−2i−2i000022-2-200−2−2−2−22222−2−2−2−2222200002i−2i00002i2i−2i−2i000022-2-2−i2−i2i2i2−i2−i2i2i2−2−222−2−222−i2−i2i2i2−i2−i2i2i2000000000000
χ3222-2-222-2-2002i2i−2i−2i000022-2-200−2−2−2−22222−2−2−2−2222200002i−2i0000−2i−2i2i2i0000-2-222i2i2−i2−i2i2i2−i2−i222−2−222−2−2−i2−i2i2i2−i2−i2i2i2000000000000
χ3322-2-222-2-2002i2i−2i−2i0000-2-222002222−2−2−2−2−2−2−2−222220000−2i2i2i2i−2i−2i000022-2-20000i2i2−i2−i2−i2−i2i2i222−2−2−2−222i2i2−i2−i2−i2−i2i2i2000000000000
χ3422-2-222-2-2002i2i−2i−2i0000-2-222002222−2−2−2−2−2−2−2−222220000−2i2i−2i−2i2i2i0000-2-2220000−i2−i2i2i2i2i2−i2−i2−2−22222−2−2i2i2−i2−i2−i2−i2i2i2000000000000
χ3522-2-222-2-2002i2i−2i−2i0000-2-22200−2−2−2−222222222−2−2−2−20000−2i2i2i2i−2i−2i000022-2-20000−i2−i2i2i2i2i2−i2−i2−2−22222−2−2−i2−i2i2i2i2i2−i2−i2000000000000
χ3622-2-222-2-2002i2i−2i−2i0000-2-22200−2−2−2−222222222−2−2−2−20000−2i2i−2i−2i2i2i0000-2-2220000i2i2−i2−i2−i2−i2i2i222−2−2−2−222−i2−i2i2i2i2i2−i2−i2000000000000
χ3722-2-222-2-200−2i−2i2i2i000022-2-2002222−2−2−2−22222−2−2−2−20000−2i2i00002i2i−2i−2i0000-2-222i2i2−i2−i2i2i2−i2−i2−2−222−2−222−i2−i2i2i2−i2−i2i2i2000000000000
χ3822-2-222-2-200−2i−2i2i2i000022-2-2002222−2−2−2−22222−2−2−2−20000−2i2i0000−2i−2i2i2i000022-2-2−i2−i2i2i2−i2−i2i2i222−2−222−2−2−i2−i2i2i2−i2−i2i2i2000000000000
χ3922-2-222-2-200−2i−2i2i2i000022-2-200−2−2−2−22222−2−2−2−222220000−2i2i00002i2i−2i−2i0000-2-222−i2−i2i2i2−i2−i2i2i222−2−222−2−2i2i2−i2−i2i2i2−i2−i2000000000000
χ4022-2-222-2-200−2i−2i2i2i000022-2-200−2−2−2−22222−2−2−2−222220000−2i2i0000−2i−2i2i2i000022-2-2i2i2−i2−i2i2i2−i2−i2−2−222−2−222i2i2−i2−i2i2i2−i2−i2000000000000
χ4122-2-222-2-200−2i−2i2i2i0000-2-222002222−2−2−2−2−2−2−2−2222200002i−2i2i2i−2i−2i0000-2-2220000i2i2−i2−i2−i2−i2i2i2−2−22222−2−2−i2−i2i2i2i2i2−i2−i2000000000000
χ4222-2-222-2-200−2i−2i2i2i0000-2-222002222−2−2−2−2−2−2−2−2222200002i−2i−2i−2i2i2i000022-2-20000−i2−i2i2i2i2i2−i2−i222−2−2−2−222−i2−i2i2i2i2i2−i2−i2000000000000
χ4322-2-222-2-200−2i−2i2i2i0000-2-22200−2−2−2−222222222−2−2−2−200002i−2i2i2i−2i−2i0000-2-2220000−i2−i2i2i2i2i2−i2−i222−2−2−2−222i2i2−i2−i2−i2−i2i2i2000000000000
χ4422-2-222-2-200−2i−2i2i2i0000-2-22200−2−2−2−222222222−2−2−2−200002i−2i−2i−2i2i2i000022-2-20000i2i2−i2−i2−i2−i2i2i2−2−22222−2−2i2i2−i2−i2−i2−i2i2i2000000000000
χ452-22-22-22-2002i−2i2i−2i22-2-200000022−2−222−2−222−2−222−2−2002i−2i002−22−22−22−2i2−i2i2−i2i2−i2i2−i200002-22-200002i−2i2i−2ii2−i2i2−i2i2−i2i2−i2000000000000
χ462-22-22-22-2002i−2i2i−2i22-2-200000022−2−222−2−222−2−222−2−2002i−2i00−22−22−22−22−i2i2−i2i2−i2i2−i2i20000-22-220000−2i2i−2i2ii2−i2i2−i2i2−i2i2−i2000000000000
χ472-22-22-22-2002i−2i2i−2i22-2-2000000−2−222−2−222−2−222−2−222002i−2i002−22−22−22−2i2−i2i2−i2i2−i2i2−i20000-22-220000−2i2i−2i2i−i2i2−i2i2−i2i2−i2i2000000000000
χ482-22-22-22-2002i−2i2i−2i22-2-2000000−2−222−2−222−2−222−2−222002i−2i00−22−22−22−22−i2i2−i2i2−i2i2−i2i200002-22-200002i−2i2i−2i−i2i2−i2i2−i2i2−i2i2000000000000
χ492-22-22-22-2002i−2i2i−2i-2-22200000022−2−222−2−2−2−222−2−22200−2i2i002−22−2−22−22i2−i2i2−i2−i2i2−i2i22-22-200002i−2i2i−2i0000i2−i2i2−i2−i2i2−i2i2000000000000
χ502-22-22-22-2002i−2i2i−2i-2-22200000022−2−222−2−2−2−222−2−22200−2i2i00−22−222−22−2−i2i2−i2i2i2−i2i2−i2-22-220000−2i2i−2i2i0000i2−i2i2−i2−i2i2−i2i2000000000000
χ512-22-22-22-2002i−2i2i−2i-2-222000000−2−222−2−22222−2−222−2−200−2i2i002−22−2−22−22i2−i2i2−i2−i2i2−i2i2-22-220000−2i2i−2i2i0000−i2i2−i2i2i2−i2i2−i2000000000000
χ522-22-22-22-2002i−2i2i−2i-2-222000000−2−222−2−22222−2−222−2−200−2i2i00−22−222−22−2−i2i2−i2i2i2−i2i2−i22-22-200002i−2i2i−2i0000−i2i2−i2i2i2−i2i2−i2000000000000
χ532-22-22-22-200−2i2i−2i2i22-2-200000022−2−222−2−222−2−222−2−200−2i2i002−22−22−22−2−i2i2−i2i2−i2i2−i2i200002-22-20000−2i2i−2i2i−i2i2−i2i2−i2i2−i2i2000000000000
χ542-22-22-22-200−2i2i−2i2i22-2-200000022−2−222−2−222−2−222−2−200−2i2i00−22−22−22−22i2−i2i2−i2i2−i2i2−i20000-22-2200002i−2i2i−2i−i2i2−i2i2−i2i2−i2i2000000000000
χ552-22-22-22-200−2i2i−2i2i22-2-2000000−2−222−2−222−2−222−2−22200−2i2i002−22−22−22−2−i2i2−i2i2−i2i2−i2i20000-22-2200002i−2i2i−2ii2−i2i2−i2i2−i2i2−i2000000000000
χ562-22-22-22-200−2i2i−2i2i22-2-2000000−2−222−2−222−2−222−2−22200−2i2i00−22−22−22−22i2−i2i2−i2i2−i2i2−i200002-22-20000−2i2i−2i2ii2−i2i2−i2i2−i2i2−i2000000000000
χ572-22-22-22-200−2i2i−2i2i-2-22200000022−2−222−2−2−2−222−2−222002i−2i002−22−2−22−22−i2i2−i2i2i2−i2i2−i22-22-20000−2i2i−2i2i0000−i2i2−i2i2i2−i2i2−i2000000000000
χ582-22-22-22-200−2i2i−2i2i-2-22200000022−2−222−2−2−2−222−2−222002i−2i00−22−222−22−2i2−i2i2−i2−i2i2−i2i2-22-2200002i−2i2i−2i0000−i2i2−i2i2i2−i2i2−i2000000000000
χ592-22-22-22-200−2i2i−2i2i-2-222000000−2−222−2−22222−2−222−2−2002i−2i002−22−2−22−22−i2i2−i2i2i2−i2i2−i2-22-2200002i−2i2i−2i0000i2−i2i2−i2−i2i2−i2i2000000000000
χ602-22-22-22-200−2i2i−2i2i-2-222000000−2−222−2−22222−2−222−2−2002i−2i00−22−222−22−2i2−i2i2−i2−i2i2−i2i22-22-20000−2i2i−2i2i0000i2−i2i2−i2−i2i2−i2i2000000000000
χ612-2-222-2-222-22-2-22000000002-20000000022-2-2-2-2222-20000i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i200002-2-22000000000000
χ622-2-222-2-222-22-2-22000000002-20000000022-2-2-2-2222-20000−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i200002-2-22000000000000
χ632-2-222-2-222-22-2-22000000002-200000000-2-22222-2-22-20000i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i20000-222-2000000000000
χ642-2-222-2-222-22-2-22000000002-200000000-2-22222-2-22-20000−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i20000-222-2000000000000
χ652-2-222-2-222-2-222-2000000002-20000000022-2-2-2-222-220000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i20000-222-2000000000000
χ662-2-222-2-222-2-222-2000000002-20000000022-2-2-2-222-220000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i20000-222-2000000000000
χ672-2-222-2-222-2-222-2000000002-200000000-2-22222-2-2-220000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i200002-2-22000000000000
χ682-2-222-2-222-2-222-2000000002-200000000-2-22222-2-2-220000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i200002-2-22000000000000
χ692-2-222-2-22-222-2-2200000000-2222-2-2-2-22200000000-220000i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i22-2-220000000000000000
χ702-2-222-2-22-222-2-2200000000-2222-2-2-2-22200000000-220000−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i22-2-220000000000000000
χ712-2-222-2-22-222-2-2200000000-22-2-22222-2-200000000-220000i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2-222-20000000000000000
χ722-2-222-2-22-222-2-2200000000-22-2-22222-2-200000000-220000−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2-222-20000000000000000
χ732-2-222-2-22-22-222-200000000-2222-2-2-2-222000000002-20000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2-222-20000000000000000
χ742-2-222-2-22-22-222-200000000-2222-2-2-2-222000000002-20000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2-222-20000000000000000
χ752-2-222-2-22-22-222-200000000-22-2-22222-2-2000000002-20000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i22-2-220000000000000000
χ762-2-222-2-22-22-222-200000000-22-2-22222-2-2000000002-20000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i22-2-220000000000000000
χ772-2-2-2-2222-2-200002-22-22-22-2222-22-22-22-22-22-22-22-20000000000000000000000000000000000000000000000002-2002-20000
χ782-2-2-2-2222-2-200002-22-22-22-2222-22-22-22-22-22-22-22-2000000000000000000000000000000000000000000000000-2200-220000
χ792-2-2-2-2222-2-200002-22-22-22-222-22-22-22-22-22-22-22-220000000000000000000000000000000000000000000000002-200-220000
χ802-2-2-2-2222-2-200002-22-22-22-222-22-22-22-22-22-22-22-22000000000000000000000000000000000000000000000000-22002-20000
χ812-2-2-2-2222-2-20000-22-22-22-22222-22-22-22-2-22-22-22-2200000000000000000000000000000000000000000000002-2002-2000000
χ822-2-2-2-2222-2-20000-22-22-22-22222-22-22-22-2-22-22-22-220000000000000000000000000000000000000000000000-2200-22000000
χ832-2-2-2-2222-2-20000-22-22-22-2222-22-22-22-222-22-22-22-200000000000000000000000000000000000000000000002-200-22000000
χ842-2-2-2-2222-2-20000-22-22-22-2222-22-22-22-222-22-22-22-20000000000000000000000000000000000000000000000-22002-2000000
χ85444-4-4-4-444-4000000000000-444-4-44-444-4000000000000000000000000000000000000000000000000000000000000000000
χ86444-4-4-4-444-4000000000000-44-444-44-4-44000000000000000000000000000000000000000000000000000000000000000000
χ87444-4-4-4-44-440000000000004-4000000004-4-44-444-40000000000000000000000000000000000000000000000000000000000
χ88444-4-4-4-44-440000000000004-400000000-444-44-4-440000000000000000000000000000000000000000000000000000000000
χ8944-44-4-44-40000004-4-4400000022−22−222222−22−222222−22−222222−22−22220000000000000000000000000000000000000000000000000000000000
χ9044-44-4-44-40000004-4-44000000−222222−22−222222−22−222222−22−222222−220000000000000000000000000000000000000000000000000000000000
χ9144-44-4-44-4000000-444-400000022−22−222222−22−2222−222222−22−222222−220000000000000000000000000000000000000000000000000000000000
χ9244-44-4-44-4000000-444-4000000−222222−22−222222−2222−22−222222−22−22220000000000000000000000000000000000000000000000000000000000
χ934-444-44-4-400000000004-4-440022−2222−22−2222−222222−2222−22−2222−22220000000000000000000000000000000000000000000000000000000000
χ944-444-44-4-400000000004-4-4400−2222−222222−2222−22−2222−222222−2222−220000000000000000000000000000000000000000000000000000000000
χ954-444-44-4-40000000000-444-40022−2222−22−2222−2222−2222−222222−2222−220000000000000000000000000000000000000000000000000000000000
χ964-444-44-4-40000000000-444-400−2222−222222−2222−2222−2222−22−2222−22220000000000000000000000000000000000000000000000000000000000
χ974-4-4-4-44444400004-44-4-44-44-4-400000000000000000000000000000000000000000000000000000000000000000000000000
χ984-4-4-4-4444440000-44-444-44-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000

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