Finite Group Databasebeta

← Group #12065158

Character table — Group #12065158

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size1111222222222244444444448888888822224444444444888888888816161616161616162222444444444488888888881616161616161616555510101010101010101010202020202020202020204040404040404040
order1222224444444422224444448888888851010101010202020202020202010101010202020202020404040404040404051010101010202020202020202010101010202020202020404040404040404022222244444444222244444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111-1-1-1-111-1-1-1-11111-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ411111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-111-1-1-1-111-1-1ii−i−iii−i−i1111111111-1-1-1-111-1-1-1-111-1-1ii−i−iii−i−i1111111111-1-1-1-111-1-1-1-111-1-1ii−i−iii−i−i1111111111-1-1-1-111-1-1-1-111-1-1ii−i−iii−i−i
χ61111111111-1-1-1-111-1-1-1-111-1-1−i−iii−i−iii1111111111-1-1-1-111-1-1-1-111-1-1−i−iii−i−iii1111111111-1-1-1-111-1-1-1-111-1-1−i−iii−i−iii1111111111-1-1-1-111-1-1-1-111-1-1−i−iii−i−iii
χ71111111111-1-1-1-1-1-111-1-1-1-111ii−i−i−i−iii1111111111-1-1-1-1-1-111-1-1-1-111ii−i−i−i−iii1111111111-1-1-1-1-1-111-1-1-1-111ii−i−i−i−iii1111111111-1-1-1-1-1-111-1-1-1-111ii−i−i−i−iii
χ81111111111-1-1-1-1-1-111-1-1-1-111−i−iiiii−i−i1111111111-1-1-1-1-1-111-1-1-1-111−i−iiiii−i−i1111111111-1-1-1-1-1-111-1-1-1-111−i−iiiii−i−i1111111111-1-1-1-1-1-111-1-1-1-111−i−iiiii−i−i
χ9111111-1-1-1-1111111-1-1-1-1-1-1111-11-11-11-1111111-1-1-1-1111111-1-1-1-1-1-1111-11-11-11-1111111-1-1-1-1111111-1-1-1-1-1-1111-11-11-11-1111111-1-1-1-1111111-1-1-1-1-1-1111-11-11-11-1
χ10111111-1-1-1-1111111-1-1-1-1-1-111-11-11-11-11111111-1-1-1-1111111-1-1-1-1-1-111-11-11-11-11111111-1-1-1-1111111-1-1-1-1-1-111-11-11-11-11111111-1-1-1-1111111-1-1-1-1-1-111-11-11-11-11
χ11111111-1-1-1-11111-1-111-1-111-1-11-11-1-11-11111111-1-1-1-11111-1-111-1-111-1-11-11-1-11-11111111-1-1-1-11111-1-111-1-111-1-11-11-1-11-11111111-1-1-1-11111-1-111-1-111-1-11-11-1-11-11
χ12111111-1-1-1-11111-1-111-1-111-1-1-11-111-11-1111111-1-1-1-11111-1-111-1-111-1-1-11-111-11-1111111-1-1-1-11111-1-111-1-111-1-1-11-111-11-1111111-1-1-1-11111-1-111-1-111-1-1-11-111-11-1
χ13111111-1-1-1-1-1-1-1-1111111-1-1-1-1i−i−iii−i−ii111111-1-1-1-1-1-1-1-1111111-1-1-1-1i−i−iii−i−ii111111-1-1-1-1-1-1-1-1111111-1-1-1-1i−i−iii−i−ii111111-1-1-1-1-1-1-1-1111111-1-1-1-1i−i−iii−i−ii
χ14111111-1-1-1-1-1-1-1-1111111-1-1-1-1−iii−i−iii−i111111-1-1-1-1-1-1-1-1111111-1-1-1-1−iii−i−iii−i111111-1-1-1-1-1-1-1-1111111-1-1-1-1−iii−i−iii−i111111-1-1-1-1-1-1-1-1111111-1-1-1-1−iii−i−iii−i
χ15111111-1-1-1-1-1-1-1-1-1-1-1-1111111i−i−ii−iii−i111111-1-1-1-1-1-1-1-1-1-1-1-1111111i−i−ii−iii−i111111-1-1-1-1-1-1-1-1-1-1-1-1111111i−i−ii−iii−i111111-1-1-1-1-1-1-1-1-1-1-1-1111111i−i−ii−iii−i
χ16111111-1-1-1-1-1-1-1-1-1-1-1-1111111−iii−ii−i−ii111111-1-1-1-1-1-1-1-1-1-1-1-1111111−iii−ii−i−ii111111-1-1-1-1-1-1-1-1-1-1-1-1111111−iii−ii−i−ii111111-1-1-1-1-1-1-1-1-1-1-1-1111111−iii−ii−i−ii
χ172222-2-222-2-222-2-200002-20000000000002222-2-222-2-222-2-200002-20000000000002222-2-222-2-222-2-200002-20000000000002222-2-222-2-222-2-200002-2000000000000
χ182222-2-222-2-2-2-2220000-220000000000002222-2-222-2-2-2-2220000-220000000000002222-2-222-2-2-2-2220000-220000000000002222-2-222-2-2-2-2220000-22000000000000
χ192222-2-2-2-22222-2-20000-220000000000002222-2-2-2-22222-2-20000-220000000000002222-2-2-2-22222-2-20000-220000000000002222-2-2-2-22222-2-20000-22000000000000
χ202222-2-2-2-222-2-22200002-20000000000002222-2-2-2-222-2-22200002-20000000000002222-2-2-2-222-2-22200002-20000000000002222-2-2-2-222-2-22200002-2000000000000
χ2122-2-22-200002i−2i2i−2i002-2002i−2i000000000022-2-22-200002i−2i2i−2i002-2002i−2i000000000022-2-22-200002i−2i2i−2i002-2002i−2i000000000022-2-22-200002i−2i2i−2i002-2002i−2i0000000000
χ2222-2-22-200002i−2i2i−2i00-2200−2i2i000000000022-2-22-200002i−2i2i−2i00-2200−2i2i000000000022-2-22-200002i−2i2i−2i00-2200−2i2i000000000022-2-22-200002i−2i2i−2i00-2200−2i2i0000000000
χ2322-2-22-20000−2i2i−2i2i002-200−2i2i000000000022-2-22-20000−2i2i−2i2i002-200−2i2i000000000022-2-22-20000−2i2i−2i2i002-200−2i2i000000000022-2-22-20000−2i2i−2i2i002-200−2i2i0000000000
χ2422-2-22-20000−2i2i−2i2i00-22002i−2i000000000022-2-22-20000−2i2i−2i2i00-22002i−2i000000000022-2-22-20000−2i2i−2i2i00-22002i−2i000000000022-2-22-20000−2i2i−2i2i00-22002i−2i0000000000
χ2522-2-2-2200002i−2i−2i2i2-20000002i−2i0000000022-2-2-2200002i−2i−2i2i2-20000002i−2i0000000022-2-2-2200002i−2i−2i2i2-20000002i−2i0000000022-2-2-2200002i−2i−2i2i2-20000002i−2i00000000
χ2622-2-2-2200002i−2i−2i2i-22000000−2i2i0000000022-2-2-2200002i−2i−2i2i-22000000−2i2i0000000022-2-2-2200002i−2i−2i2i-22000000−2i2i0000000022-2-2-2200002i−2i−2i2i-22000000−2i2i00000000
χ2722-2-2-220000−2i2i2i−2i2-2000000−2i2i0000000022-2-2-220000−2i2i2i−2i2-2000000−2i2i0000000022-2-2-220000−2i2i2i−2i2-2000000−2i2i0000000022-2-2-220000−2i2i2i−2i2-2000000−2i2i00000000
χ2822-2-2-220000−2i2i2i−2i-220000002i−2i0000000022-2-2-220000−2i2i2i−2i-220000002i−2i0000000022-2-2-220000−2i2i2i−2i-220000002i−2i0000000022-2-2-220000−2i2i2i−2i-220000002i−2i00000000
χ294-44-400004i−4i00000000000000000000004-44-400004i−4i00000000000000000000004-44-400004i−4i00000000000000000000004-44-400004i−4i0000000000000000000000
χ304-44-40000−4i4i00000000000000000000004-44-40000−4i4i00000000000000000000004-44-40000−4i4i00000000000000000000004-44-40000−4i4i0000000000000000000000
χ314-4-44004-40000000000000000000000004-4-44004-40000000000000000000000004-4-44004-40000000000000000000000004-4-44004-4000000000000000000000000
χ324-4-4400-440000000000000000000000004-4-4400-440000000000000000000000004-4-4400-440000000000000000000000004-4-4400-44000000000000000000000000
χ33111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ34111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ3511111111111111-1-1-1-111-1-1-1-11111-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111
χ3611111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1
χ371111111111-1-1-1-111-1-1-1-111-1-1ii−i−iii−i−i1111111111-1-1-1-111-1-1-1-111-1-1ii−i−iii−i−i1111111111-1-1-1-111-1-1-1-111-1-1ii−i−iii−i−i-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111−i−iii−i−iii
χ381111111111-1-1-1-111-1-1-1-111-1-1−i−iii−i−iii1111111111-1-1-1-111-1-1-1-111-1-1−i−iii−i−iii1111111111-1-1-1-111-1-1-1-111-1-1−i−iii−i−iii-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111ii−i−iii−i−i
χ391111111111-1-1-1-1-1-111-1-1-1-111ii−i−i−i−iii1111111111-1-1-1-1-1-111-1-1-1-111ii−i−i−i−iii1111111111-1-1-1-1-1-111-1-1-1-111ii−i−i−i−iii-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1−i−iiiii−i−i
χ401111111111-1-1-1-1-1-111-1-1-1-111−i−iiiii−i−i1111111111-1-1-1-1-1-111-1-1-1-111−i−iiiii−i−i1111111111-1-1-1-1-1-111-1-1-1-111−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1ii−i−i−i−iii
χ41111111-1-1-1-1111111-1-1-1-1-1-1111-11-11-11-1111111-1-1-1-1111111-1-1-1-1-1-1111-11-11-11-1111111-1-1-1-1111111-1-1-1-1-1-1111-11-11-11-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-11-11-11-11
χ42111111-1-1-1-1111111-1-1-1-1-1-111-11-11-11-11111111-1-1-1-1111111-1-1-1-1-1-111-11-11-11-11111111-1-1-1-1111111-1-1-1-1-1-111-11-11-11-11-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-11-11-11-11-1
χ43111111-1-1-1-11111-1-111-1-111-1-11-11-1-11-11111111-1-1-1-11111-1-111-1-111-1-11-11-1-11-11111111-1-1-1-11111-1-111-1-111-1-11-11-1-11-11-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-11-111-11-1
χ44111111-1-1-1-11111-1-111-1-111-1-1-11-111-11-1111111-1-1-1-11111-1-111-1-111-1-1-11-111-11-1111111-1-1-1-11111-1-111-1-111-1-1-11-111-11-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111-11-1-11-11
χ45111111-1-1-1-1-1-1-1-1111111-1-1-1-1i−i−iii−i−ii111111-1-1-1-1-1-1-1-1111111-1-1-1-1i−i−iii−i−ii111111-1-1-1-1-1-1-1-1111111-1-1-1-1i−i−iii−i−ii-1-1-1-1-1-111111111-1-1-1-1-1-11111−iii−i−iii−i
χ46111111-1-1-1-1-1-1-1-1111111-1-1-1-1−iii−i−iii−i111111-1-1-1-1-1-1-1-1111111-1-1-1-1−iii−i−iii−i111111-1-1-1-1-1-1-1-1111111-1-1-1-1−iii−i−iii−i-1-1-1-1-1-111111111-1-1-1-1-1-11111i−i−iii−i−ii
χ47111111-1-1-1-1-1-1-1-1-1-1-1-1111111i−i−ii−iii−i111111-1-1-1-1-1-1-1-1-1-1-1-1111111i−i−ii−iii−i111111-1-1-1-1-1-1-1-1-1-1-1-1111111i−i−ii−iii−i-1-1-1-1-1-1111111111111-1-1-1-1-1-1−iii−ii−i−ii
χ48111111-1-1-1-1-1-1-1-1-1-1-1-1111111−iii−ii−i−ii111111-1-1-1-1-1-1-1-1-1-1-1-1111111−iii−ii−i−ii111111-1-1-1-1-1-1-1-1-1-1-1-1111111−iii−ii−i−ii-1-1-1-1-1-1111111111111-1-1-1-1-1-1i−i−ii−iii−i
χ492222-2-222-2-222-2-200002-20000000000002222-2-222-2-222-2-200002-20000000000002222-2-222-2-222-2-200002-2000000000000-2-2-2-222-2-222-2-2220000-22000000000000
χ502222-2-222-2-2-2-2220000-220000000000002222-2-222-2-2-2-2220000-220000000000002222-2-222-2-2-2-2220000-22000000000000-2-2-2-222-2-22222-2-200002-2000000000000
χ512222-2-2-2-22222-2-20000-220000000000002222-2-2-2-22222-2-20000-220000000000002222-2-2-2-22222-2-20000-22000000000000-2-2-2-22222-2-2-2-22200002-2000000000000
χ522222-2-2-2-222-2-22200002-20000000000002222-2-2-2-222-2-22200002-20000000000002222-2-2-2-222-2-22200002-2000000000000-2-2-2-22222-2-222-2-20000-22000000000000
χ5322-2-22-200002i−2i2i−2i002-2002i−2i000000000022-2-22-200002i−2i2i−2i002-2002i−2i000000000022-2-22-200002i−2i2i−2i002-2002i−2i0000000000-2-222-220000−2i2i−2i2i00-2200−2i2i0000000000
χ5422-2-22-200002i−2i2i−2i00-2200−2i2i000000000022-2-22-200002i−2i2i−2i00-2200−2i2i000000000022-2-22-200002i−2i2i−2i00-2200−2i2i0000000000-2-222-220000−2i2i−2i2i002-2002i−2i0000000000
χ5522-2-22-20000−2i2i−2i2i002-200−2i2i000000000022-2-22-20000−2i2i−2i2i002-200−2i2i000000000022-2-22-20000−2i2i−2i2i002-200−2i2i0000000000-2-222-2200002i−2i2i−2i00-22002i−2i0000000000
χ5622-2-22-20000−2i2i−2i2i00-22002i−2i000000000022-2-22-20000−2i2i−2i2i00-22002i−2i000000000022-2-22-20000−2i2i−2i2i00-22002i−2i0000000000-2-222-2200002i−2i2i−2i002-200−2i2i0000000000
χ5722-2-2-2200002i−2i−2i2i2-20000002i−2i0000000022-2-2-2200002i−2i−2i2i2-20000002i−2i0000000022-2-2-2200002i−2i−2i2i2-20000002i−2i00000000-2-2222-20000−2i2i2i−2i-22000000−2i2i00000000
χ5822-2-2-2200002i−2i−2i2i-22000000−2i2i0000000022-2-2-2200002i−2i−2i2i-22000000−2i2i0000000022-2-2-2200002i−2i−2i2i-22000000−2i2i00000000-2-2222-20000−2i2i2i−2i2-20000002i−2i00000000
χ5922-2-2-220000−2i2i2i−2i2-2000000−2i2i0000000022-2-2-220000−2i2i2i−2i2-2000000−2i2i0000000022-2-2-220000−2i2i2i−2i2-2000000−2i2i00000000-2-2222-200002i−2i−2i2i-220000002i−2i00000000
χ6022-2-2-220000−2i2i2i−2i-220000002i−2i0000000022-2-2-220000−2i2i2i−2i-220000002i−2i0000000022-2-2-220000−2i2i2i−2i-220000002i−2i00000000-2-2222-200002i−2i−2i2i2-2000000−2i2i00000000
χ614-44-400004i−4i00000000000000000000004-44-400004i−4i00000000000000000000004-44-400004i−4i0000000000000000000000-44-440000−4i4i0000000000000000000000
χ624-44-40000−4i4i00000000000000000000004-44-40000−4i4i00000000000000000000004-44-40000−4i4i0000000000000000000000-44-4400004i−4i0000000000000000000000
χ634-4-44004-40000000000000000000000004-4-44004-40000000000000000000000004-4-44004-4000000000000000000000000-444-400-44000000000000000000000000
χ644-4-4400-440000000000000000000000004-4-4400-440000000000000000000000004-4-4400-44000000000000000000000000-444-4004-4000000000000000000000000
χ6522222222222222222222222222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200000000000000000000000000000000
χ66222222222222222222222222-2-2-2-2-2-2-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+5200000000000000000000000000000000
χ6722222222222222-2-2-2-222-2-2-2-22222-2-2-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−521+521+521+521+5200000000000000000000000000000000
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χ1042222222222-2-2-2-2-2-222-2-2-2-222−2i−2i2i2i2i2i−2i−2i−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+52−1−52−1−521+521+521+521+52−1−52−1−52ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−52−1+52−1+521−521−521−521−52−1+52−1+52ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ1900000000000000000000000000000000
χ105222222-2-2-2-2222222-2-2-2-2-2-2222-22-22-22-2−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+52−1−52−1−52−1−521+52−1−521+52−1−521+52−1−521+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−52−1+52−1+52−1+521−52−1+521−52−1+521−52−1+521−5200000000000000000000000000000000
χ106222222-2-2-2-2222222-2-2-2-2-2-222-22-22-22-22−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+52−1−52−1−521+52−1−521+52−1−521+52−1−521+52−1−52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−52−1+52−1+521−52−1+521−52−1+521−52−1+521−52−1+5200000000000000000000000000000000
χ107222222-2-2-2-22222-2-222-2-222-2-22-22-2-22-22−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−521+52−1−521+521+52−1−521+52−1−52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+521−52−1+521−521−52−1+521−52−1+5200000000000000000000000000000000
χ108222222-2-2-2-22222-2-222-2-222-2-2-22-222-22-2−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+521+521+52−1−521+52−1−52−1−521+52−1−521+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−521−521−52−1+521−52−1+52−1+521−52−1+521−5200000000000000000000000000000000
χ109222222-2-2-2-2-2-2-2-2222222-2-2-2-22i−2i−2i2i2i−2i−2i2i−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−521−52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ1900000000000000000000000000000000
χ110222222-2-2-2-2-2-2-2-2222222-2-2-2-2−2i2i2i−2i−2i2i2i−2i−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−521−52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ1900000000000000000000000000000000
χ111222222-2-2-2-2-2-2-2-2-2-2-2-22222222i−2i−2i2i−2i2i2i−2i−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+521+521+521+521+52−1−52−1−52−1−52−1−52−1−52−1−52−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−521−521−521−521−521−52−1+52−1+52−1+52−1+52−1+52−1+52−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ1900000000000000000000000000000000
χ112222222-2-2-2-2-2-2-2-2-2-2-2-2222222−2i2i2i−2i2i−2i−2i2i−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+521+521+521+521+52−1−52−1−52−1−52−1−52−1−52−1−52ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−521−521−521−521−521−52−1+52−1+52−1+52−1+52−1+52−1+52ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ1900000000000000000000000000000000
χ1134444-4-444-4-444-4-400004-4000000000000−1−5−1−5−1−5−1−51+51+5−1−5−1−51+51+5−1−5−1−51+51+50000−1−51+5000000000000−1+5−1+5−1+5−1+51−51−5−1+5−1+51−51−5−1+5−1+51−51−50000−1+51−500000000000000000000000000000000000000000000
χ1144444-4-444-4-4-4-4440000-44000000000000−1−5−1−5−1−5−1−51+51+5−1−5−1−51+51+51+51+5−1−5−1−500001+5−1−5000000000000−1+5−1+5−1+5−1+51−51−5−1+5−1+51−51−51−51−5−1+5−1+500001−5−1+500000000000000000000000000000000000000000000
χ1154444-4-4-4-44444-4-40000-44000000000000−1−5−1−5−1−5−1−51+51+51+51+5−1−5−1−5−1−5−1−51+51+500001+5−1−5000000000000−1+5−1+5−1+5−1+51−51−51−51−5−1+5−1+5−1+5−1+51−51−500001−5−1+500000000000000000000000000000000000000000000
χ1164444-4-4-4-444-4-44400004-4000000000000−1−5−1−5−1−5−1−51+51+51+51+5−1−5−1−51+51+5−1−5−1−50000−1−51+5000000000000−1+5−1+5−1+5−1+51−51−51−51−5−1+5−1+51−51−5−1+5−1+50000−1+51−500000000000000000000000000000000000000000000
χ11744-4-44-400004i−4i4i−4i004-4004i−4i0000000000−1−5−1−51+51+5−1−51+50000−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ700−1−51+500−2ζ3−2ζ72ζ3+2ζ70000000000−1+5−1+51−51−5−1+51−50000−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ1900−1+51−500−2ζ11−2ζ192ζ11+2ζ19000000000000000000000000000000000000000000
χ11844-4-44-400004i−4i4i−4i00-4400−4i4i0000000000−1−5−1−51+51+5−1−51+50000−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ7001+5−1−5002ζ3+2ζ7−2ζ3−2ζ70000000000−1+5−1+51−51−5−1+51−50000−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ19001−5−1+5002ζ11+2ζ19−2ζ11−2ζ19000000000000000000000000000000000000000000
χ11944-4-44-40000−4i4i−4i4i004-400−4i4i0000000000−1−5−1−51+51+5−1−51+500002ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ700−1−51+5002ζ3+2ζ7−2ζ3−2ζ70000000000−1+5−1+51−51−5−1+51−500002ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ1900−1+51−5002ζ11+2ζ19−2ζ11−2ζ19000000000000000000000000000000000000000000
χ12044-4-44-40000−4i4i−4i4i00-44004i−4i0000000000−1−5−1−51+51+5−1−51+500002ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ7001+5−1−500−2ζ3−2ζ72ζ3+2ζ70000000000−1+5−1+51−51−5−1+51−500002ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ19001−5−1+500−2ζ11−2ζ192ζ11+2ζ19000000000000000000000000000000000000000000
χ12144-4-4-4400004i−4i−4i4i4-40000004i−4i00000000−1−5−1−51+51+51+5−1−50000−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ7−1−51+5000000−2ζ3−2ζ72ζ3+2ζ700000000−1+5−1+51−51−51−5−1+50000−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ19−1+51−5000000−2ζ11−2ζ192ζ11+2ζ190000000000000000000000000000000000000000
χ12244-4-4-4400004i−4i−4i4i-44000000−4i4i00000000−1−5−1−51+51+51+5−1−50000−2ζ3−2ζ72ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ71+5−1−50000002ζ3+2ζ7−2ζ3−2ζ700000000−1+5−1+51−51−51−5−1+50000−2ζ11−2ζ192ζ11+2ζ192ζ11+2ζ19−2ζ11−2ζ191−5−1+50000002ζ11+2ζ19−2ζ11−2ζ190000000000000000000000000000000000000000
χ12344-4-4-440000−4i4i4i−4i4-4000000−4i4i00000000−1−5−1−51+51+51+5−1−500002ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ7−1−51+50000002ζ3+2ζ7−2ζ3−2ζ700000000−1+5−1+51−51−51−5−1+500002ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ19−1+51−50000002ζ11+2ζ19−2ζ11−2ζ190000000000000000000000000000000000000000
χ12444-4-4-440000−4i4i4i−4i-440000004i−4i00000000−1−5−1−51+51+51+5−1−500002ζ3+2ζ7−2ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ71+5−1−5000000−2ζ3−2ζ72ζ3+2ζ700000000−1+5−1+51−51−51−5−1+500002ζ11+2ζ19−2ζ11−2ζ19−2ζ11−2ζ192ζ11+2ζ191−5−1+5000000−2ζ11−2ζ192ζ11+2ζ190000000000000000000000000000000000000000
χ1258-88-800008i−8i0000000000000000000000−2−252+25−2−252+250000−4ζ3−4ζ74ζ3+4ζ70000000000000000000000−2+252−25−2+252−250000−4ζ11−4ζ194ζ11+4ζ19000000000000000000000000000000000000000000000000000000
χ1268-88-80000−8i8i0000000000000000000000−2−252+25−2−252+2500004ζ3+4ζ7−4ζ3−4ζ70000000000000000000000−2+252−25−2+252−2500004ζ11+4ζ19−4ζ11−4ζ19000000000000000000000000000000000000000000000000000000
χ1278-8-88008-8000000000000000000000000−2−252+252+25−2−2500−2−252+25000000000000000000000000−2+252−252−25−2+2500−2+252−2500000000000000000000000000000000000000000000000000000000
χ1288-8-8800-88000000000000000000000000−2−252+252+25−2−25002+25−2−25000000000000000000000000−2+252−252−25−2+25002−25−2+2500000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.