Finite Group Databasebeta

← Group #19592

Character table — Group #19592

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size111122222222222222222222222222222216161616111122222222222222222222222222222216161616
order1222444444888888888888888888888888244422224444448888888888888888888888882444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1
χ61111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11
χ71111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11
χ81111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1
χ9222222-2-2-2-200000000000000002222-2-2-2-20000222222-2-2-2-200000000000000002222-2-2-2-20000
χ10222222-2-2-2-20000000000000000-2-2-2-222220000222222-2-2-2-20000000000000000-2-2-2-222220000
χ112222-2-222-2-2000000002222-2-2-2-20000000000002222-2-222-2-2000000002222-2-2-2-2000000000000
χ122222-2-222-2-200000000-2-2-2-222220000000000002222-2-222-2-200000000-2-2-2-22222000000000000
χ132222-2-2-2-2222222-2-2-2-2000000000000000000002222-2-2-2-2222222-2-2-2-200000000000000000000
χ142222-2-2-2-222-2-2-2-22222000000000000000000002222-2-2-2-222-2-2-2-2222200000000000000000000
χ1522-2-200002-2000022-2-2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000022-2-200002-2000022-2-2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000
χ1622-2-200002-2000022-2-2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000022-2-200002-2000022-2-2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000
χ1722-2-200002-20000-2-222i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000022-2-200002-20000-2-222i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000
χ1822-2-200002-20000-2-222−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000022-2-200002-20000-2-222−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000
χ1922-2-20000-2222-2-20000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000022-2-20000-2222-2-20000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000
χ2022-2-20000-2222-2-20000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000022-2-20000-2222-2-20000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000
χ2122-2-20000-22-2-2220000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000022-2-20000-22-2-2220000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i20000
χ2222-2-20000-22-2-2220000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000022-2-20000-22-2-2220000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i20000
χ232-22-2002-200i2−i2i2−i2i2−i2i2−i200002-22-2i2−i2i2−i2i2−i2i2−i200002-22-2002-200i2−i2i2−i2i2−i2i2−i200002-22-2i2−i2i2−i2i2−i2i2−i20000
χ242-22-2002-200i2−i2i2−i2i2−i2i2−i20000-22-22−i2i2−i2i2−i2i2−i2i200002-22-2002-200i2−i2i2−i2i2−i2i2−i20000-22-22−i2i2−i2i2−i2i2−i2i20000
χ252-22-2002-200−i2i2−i2i2−i2i2−i2i200002-22-2−i2i2−i2i2−i2i2−i2i200002-22-2002-200−i2i2−i2i2−i2i2−i2i200002-22-2−i2i2−i2i2−i2i2−i2i20000
χ262-22-2002-200−i2i2−i2i2−i2i2−i2i20000-22-22i2−i2i2−i2i2−i2i2−i200002-22-2002-200−i2i2−i2i2−i2i2−i2i20000-22-22i2−i2i2−i2i2−i2i2−i20000
χ272-22-200-2200i2−i2i2−i2−i2i2−i2i22-22-20000i2−i2i2−i2−i2i2−i2i200002-22-200-2200i2−i2i2−i2−i2i2−i2i22-22-20000i2−i2i2−i2−i2i2−i2i20000
χ282-22-200-2200i2−i2i2−i2−i2i2−i2i2-22-220000−i2i2−i2i2i2−i2i2−i200002-22-200-2200i2−i2i2−i2−i2i2−i2i2-22-220000−i2i2−i2i2i2−i2i2−i20000
χ292-22-200-2200−i2i2−i2i2i2−i2i2−i22-22-20000−i2i2−i2i2i2−i2i2−i200002-22-200-2200−i2i2−i2i2i2−i2i2−i22-22-20000−i2i2−i2i2i2−i2i2−i20000
χ302-22-200-2200−i2i2−i2i2i2−i2i2−i2-22-220000i2−i2i2−i2−i2i2−i2i200002-22-200-2200−i2i2−i2i2i2−i2i2−i2-22-220000i2−i2i2−i2−i2i2−i2i20000
χ312-2-222-20000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i20000-222-200002-2-222-20000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i20000-222-20000
χ322-2-222-20000i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i200002-2-2200002-2-222-20000i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i200002-2-220000
χ332-2-222-20000−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i200002-2-2200002-2-222-20000−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i200002-2-220000
χ342-2-222-20000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i20000-222-200002-2-222-20000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i20000-222-20000
χ352-2-22-220000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2-222-2000000002-2-22-220000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2-222-200000000
χ362-2-22-220000i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i22-2-22000000002-2-22-220000i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i22-2-2200000000
χ372-2-22-220000−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i22-2-22000000002-2-22-220000−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i22-2-2200000000
χ382-2-22-220000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2-222-2000000002-2-22-220000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2-222-200000000
χ3911111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ401111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111
χ42111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1
χ431111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-11
χ441111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-11-1
χ451111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-111-1
χ461111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-11
χ47222222-2-2-2-200000000000000002222-2-2-2-20000-2-2-2-2-2-222220000000000000000-2-2-2-222220000
χ48222222-2-2-2-20000000000000000-2-2-2-222220000-2-2-2-2-2-2222200000000000000002222-2-2-2-20000
χ492222-2-222-2-2000000002222-2-2-2-2000000000000-2-2-2-222-2-22200000000-2-2-2-22222000000000000
χ502222-2-222-2-200000000-2-2-2-22222000000000000-2-2-2-222-2-222000000002222-2-2-2-2000000000000
χ512222-2-2-2-2222222-2-2-2-200000000000000000000-2-2-2-22222-2-2-2-2-2-2222200000000000000000000
χ522222-2-2-2-222-2-2-2-2222200000000000000000000-2-2-2-22222-2-22222-2-2-2-200000000000000000000
χ5322-2-200002-2000022-2-2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000-2-2220000-220000-2-222−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000
χ5422-2-200002-2000022-2-2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000-2-2220000-220000-2-222i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000
χ5522-2-200002-20000-2-222i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000-2-2220000-22000022-2-2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000
χ5622-2-200002-20000-2-222−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000-2-2220000-22000022-2-2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000
χ5722-2-20000-2222-2-20000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000-2-22200002-2-2-2220000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000
χ5822-2-20000-2222-2-20000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000-2-22200002-2-2-2220000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000
χ5922-2-20000-22-2-2220000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i20000-2-22200002-222-2-20000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i20000
χ6022-2-20000-22-2-2220000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i20000-2-22200002-222-2-20000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i20000
χ612-22-2002-200i2−i2i2−i2i2−i2i2−i200002-22-2i2−i2i2−i2i2−i2i2−i20000-22-2200-2200−i2i2−i2i2−i2i2−i2i20000-22-22−i2i2−i2i2−i2i2−i2i20000
χ622-22-2002-200i2−i2i2−i2i2−i2i2−i20000-22-22−i2i2−i2i2−i2i2−i2i20000-22-2200-2200−i2i2−i2i2−i2i2−i2i200002-22-2i2−i2i2−i2i2−i2i2−i20000
χ632-22-2002-200−i2i2−i2i2−i2i2−i2i200002-22-2−i2i2−i2i2−i2i2−i2i20000-22-2200-2200i2−i2i2−i2i2−i2i2−i20000-22-22i2−i2i2−i2i2−i2i2−i20000
χ642-22-2002-200−i2i2−i2i2−i2i2−i2i20000-22-22i2−i2i2−i2i2−i2i2−i20000-22-2200-2200i2−i2i2−i2i2−i2i2−i200002-22-2−i2i2−i2i2−i2i2−i2i20000
χ652-22-200-2200i2−i2i2−i2−i2i2−i2i22-22-20000i2−i2i2−i2−i2i2−i2i20000-22-22002-200−i2i2−i2i2i2−i2i2−i2-22-220000−i2i2−i2i2i2−i2i2−i20000
χ662-22-200-2200i2−i2i2−i2−i2i2−i2i2-22-220000−i2i2−i2i2i2−i2i2−i20000-22-22002-200−i2i2−i2i2i2−i2i2−i22-22-20000i2−i2i2−i2−i2i2−i2i20000
χ672-22-200-2200−i2i2−i2i2i2−i2i2−i22-22-20000−i2i2−i2i2i2−i2i2−i20000-22-22002-200i2−i2i2−i2−i2i2−i2i2-22-220000i2−i2i2−i2−i2i2−i2i20000
χ682-22-200-2200−i2i2−i2i2i2−i2i2−i2-22-220000i2−i2i2−i2−i2i2−i2i20000-22-22002-200i2−i2i2−i2−i2i2−i2i22-22-20000−i2i2−i2i2i2−i2i2−i20000
χ692-2-222-20000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i20000-222-20000-222-2-220000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i200002-2-220000
χ702-2-222-20000i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i200002-2-220000-222-2-220000−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i20000-222-20000
χ712-2-222-20000−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i200002-2-220000-222-2-220000i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i20000-222-20000
χ722-2-222-20000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i20000-222-20000-222-2-220000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i200002-2-220000
χ732-2-22-220000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2-222-200000000-222-22-20000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i22-2-2200000000
χ742-2-22-220000i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i22-2-2200000000-222-22-20000−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2-222-200000000
χ752-2-22-220000−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i22-2-2200000000-222-22-20000i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2-222-200000000
χ762-2-22-220000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2-222-200000000-222-22-20000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i22-2-2200000000

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