Finite Group Databasebeta

← Group #11779658

Character table — Group #11779658

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size111122222222444444488888888888812121212121216161624242424241111222222224444444888888888888121212121212161616242424242411112222222244444448888888888881212121212121616162424242424
order122234444666444121212122668812121224242424448888412124448836663121212126661212121212121266624241212122424242412122424242412121212121224243666312121212666121212121212126662424121212242424241212242424241212121212122424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1111-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1111-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1111-1-1-1-1-1
χ31111111111111111111111-1-1111-1-1-1-111-1-1-1-1-1-1-1111-1-11111111111111111111111-1-1111-1-1-1-111-1-1-1-1-1-1-1111-1-11111111111111111111111-1-1111-1-1-1-111-1-1-1-1-1-1-1111-1-1
χ41111111111111111111111-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1111111111111111111111111-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1111111111111111111111111-1-1111-1-1-1-1-1-11111-1-1-1-1-1-111
χ5111111111111-1-111111-1-1-111-1-111111111111-1-1-11-1-1-1-1111111111111-1-111111-1-1-111-1-111111111111-1-1-11-1-1-1-1111111111111-1-111111-1-1-111-1-111111111111-1-1-11-1-1-1-1
χ6111111111111-1-111111-1-1-111-1-111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-111111-1-1-111-1-111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-111111-1-1-111-1-111111-1-1-1-1-1-1-1-1-1-11111
χ7111111111111-1-111111-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11111-1-111111111111111-1-111111-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11111-1-111111111111111-1-111111-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11111-1-111
χ8111111111111-1-111111-1-1-1-1-1-1-11-1-1-1-1-1-11111111-111-1-1111111111111-1-111111-1-1-1-1-1-1-11-1-1-1-1-1-11111111-111-1-1111111111111-1-111111-1-1-1-1-1-1-11-1-1-1-1-1-11111111-111-1-1
χ9222222-2-2222200-2-222-20000000-20000220000000-20000222222-2-2222200-2-222-20000000-20000220000000-20000222222-2-2222200-2-222-20000000-20000220000000-20000
χ10222222-2-2222200-2-222-20000000-20000-2-2000000020000222222-2-2222200-2-222-20000000-20000-2-2000000020000222222-2-2222200-2-222-20000000-20000-2-2000000020000
χ1122222-222-222222-22-2-22-2-2-20022-200000000000000000022222-222-222222-22-2-22-2-2-20022-200000000000000000022222-222-222222-22-2-22-2-2-20022-2000000000000000000
χ1222222-222-2222-2-2-22-2-2222200-2-2-200000000000000000022222-222-2222-2-2-22-2-2222200-2-2-200000000000000000022222-222-2222-2-2-22-2-2222200-2-2-2000000000000000000
χ1322222-2-2-2-2222002-2-2-2-200000002000000000000002-20022222-2-2-2-2222002-2-2-2-200000002000000000000002-20022222-2-2-2-2222002-2-2-2-200000002000000000000002-200
χ1422222-2-2-2-2222002-2-2-2-20000000200000000000000-220022222-2-2-2-2222002-2-2-2-20000000200000000000000-220022222-2-2-2-2222002-2-2-2-20000000200000000000000-2200
χ152222-12222-1-1-1222-1-1-1-12-1-122-1-1-1-1-1-1-10000002-1-1000002222-12222-1-1-1222-1-1-1-12-1-122-1-1-1-1-1-1-10000002-1-1000002222-12222-1-1-1222-1-1-1-12-1-122-1-1-1-1-1-1-10000002-1-100000
χ162222-12222-1-1-1222-1-1-1-12-1-1-2-2-1-1-11111000000-211000002222-12222-1-1-1222-1-1-1-12-1-1-2-2-1-1-11111000000-211000002222-12222-1-1-1222-1-1-1-12-1-1-2-2-1-1-11111000000-21100000
χ172222-12222-1-1-1-2-22-1-1-1-1-2112211-1-1-1-1-1000000-211000002222-12222-1-1-1-2-22-1-1-1-1-2112211-1-1-1-1-1000000-211000002222-12222-1-1-1-2-22-1-1-1-1-2112211-1-1-1-1-1000000-21100000
χ182222-12222-1-1-1-2-22-1-1-1-1-211-2-211-111110000002-1-1000002222-12222-1-1-1-2-22-1-1-1-1-211-2-211-111110000002-1-1000002222-12222-1-1-1-2-22-1-1-1-1-211-2-211-111110000002-1-100000
χ192222-1-222-2-1-1-122-2-111-1-21100-1-11−i3−i3i3i30000000−i3i3000002222-1-222-2-1-1-122-2-111-1-21100-1-11−i3−i3i3i30000000−i3i3000002222-1-222-2-1-1-122-2-111-1-21100-1-11−i3−i3i3i30000000−i3i300000
χ202222-1-222-2-1-1-122-2-111-1-21100-1-11i3i3−i3−i30000000i3−i3000002222-1-222-2-1-1-122-2-111-1-21100-1-11i3i3−i3−i30000000i3−i3000002222-1-222-2-1-1-122-2-111-1-21100-1-11i3i3−i3−i30000000i3−i300000
χ212222-1-222-2-1-1-1-2-2-2-111-12-1-100111−i3−i3i3i30000000i3−i3000002222-1-222-2-1-1-1-2-2-2-111-12-1-100111−i3−i3i3i30000000i3−i3000002222-1-222-2-1-1-1-2-2-2-111-12-1-100111−i3−i3i3i30000000i3−i300000
χ222222-1-222-2-1-1-1-2-2-2-111-12-1-100111i3i3−i3−i30000000−i3i3000002222-1-222-2-1-1-1-2-2-2-111-12-1-100111i3i3−i3−i30000000−i3i3000002222-1-222-2-1-1-1-2-2-2-111-12-1-100111i3i3−i3−i30000000−i3i300000
χ2322-2-22-2002-22-200002-20000−i2i2000−i2i2−i2i22i−2i22−2−20000000022-2-22-2002-22-200002-20000−i2i2000−i2i2−i2i22i−2i22−2−20000000022-2-22-2002-22-200002-20000−i2i2000−i2i2−i2i22i−2i22−2−200000000
χ2422-2-22-2002-22-200002-20000−i2i2000−i2i2−i2i2−2i2i−2−2220000000022-2-22-2002-22-200002-20000−i2i2000−i2i2−i2i2−2i2i−2−2220000000022-2-22-2002-22-200002-20000−i2i2000−i2i2−i2i2−2i2i−2−22200000000
χ2522-2-22-2002-22-200002-20000i2−i2000i2−i2i2−i22i−2i−2−2220000000022-2-22-2002-22-200002-20000i2−i2000i2−i2i2−i22i−2i−2−2220000000022-2-22-2002-22-200002-20000i2−i2000i2−i2i2−i22i−2i−2−22200000000
χ2622-2-22-2002-22-200002-20000i2−i2000i2−i2i2−i2−2i2i22−2−20000000022-2-22-2002-22-200002-20000i2−i2000i2−i2i2−i2−2i2i22−2−20000000022-2-22-2002-22-200002-20000i2−i2000i2−i2i2−i2−2i2i22−2−200000000
χ272-2-2220-2202-2-22i−2i0-2002000002i−2i0000000−i2i2−i2i20000002−22-2-2220-2202-2-22i−2i0-2002000002i−2i0000000−i2i2−i2i20000002−22-2-2220-2202-2-22i−2i0-2002000002i−2i0000000−i2i2−i2i20000002−2
χ282-2-2220-2202-2-22i−2i0-2002000002i−2i0000000i2−i2i2−i2000000−222-2-2220-2202-2-22i−2i0-2002000002i−2i0000000i2−i2i2−i2000000−222-2-2220-2202-2-22i−2i0-2002000002i−2i0000000i2−i2i2−i2000000−22
χ292-2-2220-2202-2-2−2i2i0-200200000−2i2i0000000−i2i2−i2i2000000−222-2-2220-2202-2-2−2i2i0-200200000−2i2i0000000−i2i2−i2i2000000−222-2-2220-2202-2-2−2i2i0-200200000−2i2i0000000−i2i2−i2i2000000−22
χ302-2-2220-2202-2-2−2i2i0-200200000−2i2i0000000i2−i2i2−i20000002−22-2-2220-2202-2-2−2i2i0-200200000−2i2i0000000i2−i2i2−i20000002−22-2-2220-2202-2-2−2i2i0-200200000−2i2i0000000i2−i2i2−i20000002−2
χ314444-24-4-44-2-2-200-42-2-22000000020000000000000000004444-24-4-44-2-2-200-42-2-22000000020000000000000000004444-24-4-44-2-2-200-42-2-2200000002000000000000000000
χ324444-2-4-4-4-4-2-2-200422220000000-20000000000000000004444-2-4-4-4-4-2-2-200422220000000-20000000000000000004444-2-4-4-4-4-2-2-200422220000000-2000000000000000000
χ3344-4-44400-4-44-40000-4400000000000000000000000000044-4-44400-4-44-40000-4400000000000000000000000000044-4-44400-4-44-40000-44000000000000000000000000000
χ3444-4-4-2400-42-2200002-20000000006−6−660000000000000044-4-4-2400-42-2200002-20000000006−6−660000000000000044-4-4-2400-42-2200002-20000000006−6−6600000000000000
χ3544-4-4-2400-42-2200002-2000000000−666−60000000000000044-4-4-2400-42-2200002-2000000000−666−60000000000000044-4-4-2400-42-2200002-2000000000−666−600000000000000
χ3644-4-4-2-40042-220000-220000−2i22i2000i2−i2i2−i20000000000000044-4-4-2-40042-220000-220000−2i22i2000i2−i2i2−i20000000000000044-4-4-2-40042-220000-220000−2i22i2000i2−i2i2−i200000000000000
χ3744-4-4-2-40042-220000-2200002i2−2i2000−i2i2−i2i20000000000000044-4-4-2-40042-220000-2200002i2−2i2000−i2i2−i2i20000000000000044-4-4-2-40042-220000-2200002i2−2i2000−i2i2−i2i200000000000000
χ384-44-440000-4-440000000000000000000002i−2i−2i2i000000004-44-440000-4-440000000000000000000002i−2i−2i2i000000004-44-440000-4-440000000000000000000002i−2i−2i2i00000000
χ394-44-440000-4-44000000000000000000000−2i2i2i−2i000000004-44-440000-4-44000000000000000000000−2i2i2i−2i000000004-44-440000-4-44000000000000000000000−2i2i2i−2i00000000
χ404-4-44404-404-4-4000400-4000000000000000000000000004-4-44404-404-4-4000400-4000000000000000000000000004-4-44404-404-4-4000400-400000000000000000000000000
χ414-4-44-204-40-222000-20020−2i32i3000000000000000000000004-4-44-204-40-222000-20020−2i32i3000000000000000000000004-4-44-204-40-222000-20020−2i32i300000000000000000000000
χ424-4-44-204-40-222000-200202i3−2i3000000000000000000000004-4-44-204-40-222000-200202i3−2i3000000000000000000000004-4-44-204-40-222000-200202i3−2i300000000000000000000000
χ434-4-44-20-440-2224i−4i0200-200000−2i2i00000000000000000004-4-44-20-440-2224i−4i0200-200000−2i2i00000000000000000004-4-44-20-440-2224i−4i0200-200000−2i2i0000000000000000000
χ444-4-44-20-440-222−4i4i0200-2000002i−2i00000000000000000004-4-44-20-440-222−4i4i0200-2000002i−2i00000000000000000004-4-44-20-440-222−4i4i0200-2000002i−2i0000000000000000000
χ458-88-8-4000044-40000000000000000000000000000000008-88-8-4000044-40000000000000000000000000000000008-88-8-4000044-4000000000000000000000000000000000
χ46111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ471111111111111111111111111111111-1-1-1-1-1-1111-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32
χ481111111111111111111111-1-1111-1-1-1-111-1-1-1-1-1-1-1111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32
χ491111111111111111111111-1-1111-1-1-1-1-1-11111-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ50111111111111-1-111111-1-1-111-1-111111111111-1-1-11-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i321+i32
χ51111111111111-1-111111-1-1-111-1-111111-1-1-1-1-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ52111111111111-1-111111-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11111-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ53111111111111-1-111111-1-1-1-1-1-1-11-1-1-1-1-1-11111111-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32
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χ55222222-2-2222200-2-222-20000000-20000-2-2000000020000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3001−i31−i3−1+i3−1+i31−i300000001−i300001−i31−i30000000−1+i30000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3001+i31+i3−1−i3−1−i31+i300000001+i300001+i31+i30000000−1−i30000
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χ602222-12222-1-1-1222-1-1-1-12-1-122-1-1-1-1-1-1-10000002-1-100000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32000000−1+i31−i321−i3200000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32000000−1−i31+i321+i3200000
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χ652222-1-222-2-1-1-122-2-111-1-21100-1-11i3i3−i3−i30000000i3−i300000−1+i3−1+i3−1+i3−1+i31−i321−i3−1+i3−1+i31−i31−i321−i321−i32−1+i3−1+i31−i31−i32−1+i32−1+i321−i321−i3−1+i32−1+i32001−i321−i32−1+i32−3−i32−3−i323+i323+i320000000−3−i323+i3200000−1−i3−1−i3−1−i3−1−i31+i321+i3−1−i3−1−i31+i31+i321+i321+i32−1−i3−1−i31+i31+i32−1−i32−1−i321+i321+i3−1−i32−1−i32001+i321+i32−1−i323−i323−i32−3+i32−3+i3200000003−i32−3+i3200000
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χ1052222-12222-1-1-1222-1-1-1-12-1-122-1-1-1-1-1-1-10000002-1-100000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32000000−1−i31+i321+i3200000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32000000−1+i31−i321−i3200000
χ1062222-12222-1-1-1222-1-1-1-12-1-1-2-2-1-1-11111000000-21100000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i31+i321+i321+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000001+i3−1−i32−1−i3200000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i31−i321−i321−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000001−i3−1+i32−1+i3200000
χ1072222-12222-1-1-1-2-22-1-1-1-1-2112211-1-1-1-1-1000000-21100000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i31+i3−1−i31+i321+i321+i321+i321+i3−1−i32−1−i32−1−i3−1−i3−1−i32−1−i321+i321+i321+i321+i321+i320000001+i3−1−i32−1−i3200000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i31−i3−1+i31−i321−i321−i321−i321−i3−1+i32−1+i32−1+i3−1+i3−1+i32−1+i321−i321−i321−i321−i321−i320000001−i3−1+i32−1+i3200000
χ1082222-12222-1-1-1-2-22-1-1-1-1-211-2-211-111110000002-1-100000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i31+i3−1−i31+i321+i321+i321+i321+i3−1−i32−1−i321+i31+i3−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32000000−1−i31+i321+i3200000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i31−i3−1+i31−i321−i321−i321−i321−i3−1+i32−1+i321−i31−i3−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32000000−1+i31−i321−i3200000
χ1092222-1-222-2-1-1-122-2-111-1-21100-1-11−i3−i3i3i30000000−i3i300000−1−i3−1−i3−1−i3−1−i31+i321+i3−1−i3−1−i31+i31+i321+i321+i32−1−i3−1−i31+i31+i32−1−i32−1−i321+i321+i3−1−i32−1−i32001+i321+i32−1−i32−3+i32−3+i323−i323−i320000000−3+i323−i3200000−1+i3−1+i3−1+i3−1+i31−i321−i3−1+i3−1+i31−i31−i321−i321−i32−1+i3−1+i31−i31−i32−1+i32−1+i321−i321−i3−1+i32−1+i32001−i321−i32−1+i323+i323+i32−3−i32−3−i3200000003+i32−3−i3200000
χ1102222-1-222-2-1-1-122-2-111-1-21100-1-11i3i3−i3−i30000000i3−i300000−1−i3−1−i3−1−i3−1−i31+i321+i3−1−i3−1−i31+i31+i321+i321+i32−1−i3−1−i31+i31+i32−1−i32−1−i321+i321+i3−1−i32−1−i32001+i321+i32−1−i323−i323−i32−3+i32−3+i3200000003−i32−3+i3200000−1+i3−1+i3−1+i3−1+i31−i321−i3−1+i3−1+i31−i31−i321−i321−i32−1+i3−1+i31−i31−i32−1+i32−1+i321−i321−i3−1+i32−1+i32001−i321−i32−1+i32−3−i32−3−i323+i323+i320000000−3−i323+i3200000
χ1112222-1-222-2-1-1-1-2-2-2-111-12-1-100111−i3−i3i3i30000000i3−i300000−1−i3−1−i3−1−i3−1−i31+i321+i3−1−i3−1−i31+i31+i321+i321+i321+i31+i31+i31+i32−1−i32−1−i321+i32−1−i31+i321+i3200−1−i32−1−i32−1−i32−3+i32−3+i323−i323−i3200000003−i32−3+i3200000−1+i3−1+i3−1+i3−1+i31−i321−i3−1+i3−1+i31−i31−i321−i321−i321−i31−i31−i31−i32−1+i32−1+i321−i32−1+i31−i321−i3200−1+i32−1+i32−1+i323+i323+i32−3−i32−3−i320000000−3−i323+i3200000
χ1122222-1-222-2-1-1-1-2-2-2-111-12-1-100111i3i3−i3−i30000000−i3i300000−1−i3−1−i3−1−i3−1−i31+i321+i3−1−i3−1−i31+i31+i321+i321+i321+i31+i31+i31+i32−1−i32−1−i321+i32−1−i31+i321+i3200−1−i32−1−i32−1−i323−i323−i32−3+i32−3+i320000000−3+i323−i3200000−1+i3−1+i3−1+i3−1+i31−i321−i3−1+i3−1+i31−i31−i321−i321−i321−i31−i31−i31−i32−1+i32−1+i321−i32−1+i31−i321−i3200−1+i32−1+i32−1+i32−3−i32−3−i323+i323+i3200000003+i32−3−i3200000
χ11322-2-22-2002-22-200002-20000−i2i2000−i2i2−i2i22i−2i22−2−200000000−1−i3−1−i31+i31+i3−1−i31+i300−1−i31+i3−1−i31+i30000−1−i31+i30000ζ7+ζ13−ζ7−ζ13000ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ132ζ22−2ζ22−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ1300000000−1+i3−1+i31−i31−i3−1+i31−i300−1+i31−i3−1+i31−i30000−1+i31−i30000ζ5+ζ23−ζ5−ζ23000ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ232ζ14−2ζ14ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ2300000000
χ11422-2-22-2002-22-200002-20000−i2i2000−i2i2−i2i2−2i2i−2−22200000000−1−i3−1−i31+i31+i3−1−i31+i300−1−i31+i3−1−i31+i30000−1−i31+i30000ζ7+ζ13−ζ7−ζ13000ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13−2ζ222ζ22ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ1300000000−1+i3−1+i31−i31−i3−1+i31−i300−1+i31−i3−1+i31−i30000−1+i31−i30000ζ5+ζ23−ζ5−ζ23000ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23−2ζ142ζ14−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ2300000000
χ11522-2-22-2002-22-200002-20000i2−i2000i2−i2i2−i22i−2i−2−22200000000−1−i3−1−i31+i31+i3−1−i31+i300−1−i31+i3−1−i31+i30000−1−i31+i30000−ζ7−ζ13ζ7+ζ13000−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ132ζ22−2ζ22ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ1300000000−1+i3−1+i31−i31−i3−1+i31−i300−1+i31−i3−1+i31−i30000−1+i31−i30000−ζ5−ζ23ζ5+ζ23000−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ232ζ14−2ζ14−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ2300000000
χ11622-2-22-2002-22-200002-20000i2−i2000i2−i2i2−i2−2i2i22−2−200000000−1−i3−1−i31+i31+i3−1−i31+i300−1−i31+i3−1−i31+i30000−1−i31+i30000−ζ7−ζ13ζ7+ζ13000−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−2ζ222ζ22−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ1300000000−1+i3−1+i31−i31−i3−1+i31−i300−1+i31−i3−1+i31−i30000−1+i31−i30000−ζ5−ζ23ζ5+ζ23000−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−2ζ142ζ14ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ2300000000
χ1172-2-2220-2202-2-22i−2i0-2002000002i−2i0000000−i2i2−i2i20000002−2−1−i31+i31+i3−1−i3−1−i301+i3−1−i30−1−i31+i31+i32ζ22−2ζ2201+i300−1−i3000002ζ22−2ζ220000000ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13000000−ζ7+ζ13ζ7−ζ13−1+i31−i31−i3−1+i3−1+i301−i3−1+i30−1+i31−i31−i32ζ14−2ζ1401−i300−1+i3000002ζ14−2ζ140000000ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23000000ζ5−ζ23−ζ5+ζ23
χ1182-2-2220-2202-2-22i−2i0-2002000002i−2i0000000i2−i2i2−i2000000−22−1−i31+i31+i3−1−i3−1−i301+i3−1−i30−1−i31+i31+i32ζ22−2ζ2201+i300−1−i3000002ζ22−2ζ220000000−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13000000ζ7−ζ13−ζ7+ζ13−1+i31−i31−i3−1+i3−1+i301−i3−1+i30−1+i31−i31−i32ζ14−2ζ1401−i300−1+i3000002ζ14−2ζ140000000−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23000000−ζ5+ζ23ζ5−ζ23
χ1192-2-2220-2202-2-2−2i2i0-200200000−2i2i0000000−i2i2−i2i2000000−22−1−i31+i31+i3−1−i3−1−i301+i3−1−i30−1−i31+i31+i3−2ζ222ζ2201+i300−1−i300000−2ζ222ζ220000000ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13000000ζ7−ζ13−ζ7+ζ13−1+i31−i31−i3−1+i3−1+i301−i3−1+i30−1+i31−i31−i3−2ζ142ζ1401−i300−1+i300000−2ζ142ζ140000000ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23000000−ζ5+ζ23ζ5−ζ23
χ1202-2-2220-2202-2-2−2i2i0-200200000−2i2i0000000i2−i2i2−i20000002−2−1−i31+i31+i3−1−i3−1−i301+i3−1−i30−1−i31+i31+i3−2ζ222ζ2201+i300−1−i300000−2ζ222ζ220000000−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13000000−ζ7+ζ13ζ7−ζ13−1+i31−i31−i3−1+i3−1+i301−i3−1+i30−1+i31−i31−i3−2ζ142ζ1401−i300−1+i300000−2ζ142ζ140000000−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23000000ζ5−ζ23−ζ5+ζ23
χ1214444-24-4-44-2-2-200-42-2-2200000002000000000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−2−2i32+2i32+2i3−2−2i31+i31+i31+i3002+2i3−1−i31+i31+i3−1−i30000000−1−i3000000000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−2+2i32−2i32−2i3−2+2i31−i31−i31−i3002−2i3−1+i31−i31−i3−1+i30000000−1+i3000000000000000000
χ1224444-2-4-4-4-4-2-2-200422220000000-2000000000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i32+2i32+2i32+2i32+2i31+i31+i31+i300−2−2i3−1−i3−1−i3−1−i3−1−i300000001+i3000000000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i32−2i32−2i32−2i32−2i31−i31−i31−i300−2+2i3−1+i3−1+i3−1+i3−1+i300000001−i3000000000000000000
χ12344-4-44400-4-44-40000-44000000000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i3−2−2i3002+2i32+2i3−2−2i32+2i300002+2i3−2−2i3000000000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i3−2+2i3002−2i32−2i3−2+2i32−2i300002−2i3−2+2i3000000000000000000000000000
χ12444-4-4-2400-42-2200002-20000000006−6−6600000000000000−2−2i3−2−2i32+2i32+2i31+i3−2−2i3002+2i3−1−i31+i3−1−i30000−1−i31+i3000000000−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ2300000000000000−2+2i3−2+2i32−2i32−2i31−i3−2+2i3002−2i3−1+i31−i3−1+i30000−1+i31−i3000000000ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ2300000000000000
χ12544-4-4-2400-42-2200002-2000000000−666−600000000000000−2−2i3−2−2i32+2i32+2i31+i3−2−2i3002+2i3−1−i31+i3−1−i30000−1−i31+i30000000002ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ2300000000000000−2+2i3−2+2i32−2i32−2i31−i3−2+2i3002−2i3−1+i31−i3−1+i30000−1+i31−i3000000000−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ2300000000000000
χ12644-4-4-2-40042-220000-220000−2i22i2000i2−i2i2−i200000000000000−2−2i3−2−2i32+2i32+2i31+i32+2i300−2−2i3−1−i31+i3−1−i300001+i3−1−i300002ζ7+2ζ13−2ζ7−2ζ13000−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ1300000000000000−2+2i3−2+2i32−2i32−2i31−i32−2i300−2+2i3−1+i31−i3−1+i300001−i3−1+i300002ζ5+2ζ23−2ζ5−2ζ23000−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ2300000000000000
χ12744-4-4-2-40042-220000-2200002i2−2i2000−i2i2−i2i200000000000000−2−2i3−2−2i32+2i32+2i31+i32+2i300−2−2i3−1−i31+i3−1−i300001+i3−1−i30000−2ζ7−2ζ132ζ7+2ζ13000ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ1300000000000000−2+2i3−2+2i32−2i32−2i31−i32−2i300−2+2i3−1+i31−i3−1+i300001−i3−1+i30000−2ζ5−2ζ232ζ5+2ζ23000ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ2300000000000000
χ1284-44-440000-4-440000000000000000000002i−2i−2i2i00000000−2−2i32+2i3−2−2i32+2i3−2−2i300002+2i32+2i3−2−2i30000000000000000000002ζ22−2ζ22−2ζ222ζ2200000000−2+2i32−2i3−2+2i32−2i3−2+2i300002−2i32−2i3−2+2i30000000000000000000002ζ14−2ζ14−2ζ142ζ1400000000
χ1294-44-440000-4-44000000000000000000000−2i2i2i−2i00000000−2−2i32+2i3−2−2i32+2i3−2−2i300002+2i32+2i3−2−2i3000000000000000000000−2ζ222ζ222ζ22−2ζ2200000000−2+2i32−2i3−2+2i32−2i3−2+2i300002−2i32−2i3−2+2i3000000000000000000000−2ζ142ζ142ζ14−2ζ1400000000
χ1304-4-44404-404-4-4000400-400000000000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i30−2−2i32+2i30−2−2i32+2i32+2i3000−2−2i3002+2i300000000000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i30−2+2i32−2i30−2+2i32−2i32−2i3000−2+2i3002−2i300000000000000000000000000
χ1314-4-44-204-40-222000-20020−2i32i300000000000000000000000−2−2i32+2i32+2i3−2−2i31+i30−2−2i32+2i301+i3−1−i3−1−i30001+i300−1−i30−3+i33−i300000000000000000000000−2+2i32−2i32−2i3−2+2i31−i30−2+2i32−2i301−i3−1+i3−1+i30001−i300−1+i303+i3−3−i300000000000000000000000
χ1324-4-44-204-40-222000-200202i3−2i300000000000000000000000−2−2i32+2i32+2i3−2−2i31+i30−2−2i32+2i301+i3−1−i3−1−i30001+i300−1−i303−i3−3+i300000000000000000000000−2+2i32−2i32−2i3−2+2i31−i30−2+2i32−2i301−i3−1+i3−1+i30001−i300−1+i30−3−i33+i300000000000000000000000
χ1334-4-44-20-440-2224i−4i0200-200000−2i2i0000000000000000000−2−2i32+2i32+2i3−2−2i31+i302+2i3−2−2i301+i3−1−i3−1−i34ζ22−4ζ220−1−i3001+i300000−2ζ222ζ220000000000000000000−2+2i32−2i32−2i3−2+2i31−i302−2i3−2+2i301−i3−1+i3−1+i34ζ14−4ζ140−1+i3001−i300000−2ζ142ζ140000000000000000000
χ1344-4-44-20-440-222−4i4i0200-2000002i−2i0000000000000000000−2−2i32+2i32+2i3−2−2i31+i302+2i3−2−2i301+i3−1−i3−1−i3−4ζ224ζ220−1−i3001+i3000002ζ22−2ζ220000000000000000000−2+2i32−2i32−2i3−2+2i31−i302−2i3−2+2i301−i3−1+i3−1+i3−4ζ144ζ140−1+i3001−i3000002ζ14−2ζ140000000000000000000
χ1358-88-8-4000044-4000000000000000000000000000000000−4−4i34+4i3−4−4i34+4i32+2i30000−2−2i3−2−2i32+2i3000000000000000000000000000000000−4+4i34−4i3−4+4i34−4i32−2i30000−2+2i3−2+2i32−2i3000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.