Finite Group Databasebeta

← Group #11861023

Character table — Group #11861023

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222223333444444444466666688881212121222224444444444666688888888881212121212121616161624242424333366666666669999121212121212121212121818181818182424242436363636
order12442346888812128888688881224242424444488242424242244361212631262424242412122424242462424242412242424241212121224242424242466121222442646888812128888688881224242424444488242424242244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1
χ311111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1
χ411111111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111
χ511111111-1-1-1-1111111111-1-11-1-1-1-1-1-1-1-11111-1-11-11-111111111-1-1-1-1111111111-1-11-1-1-1-1-1-1-1-11111-1-11-11-111111111-1-1-1-1111111111-1-11-1-1-1-1-1-1-1-11111-1-11-11-1
χ611111111-1-1-1-11111111-1-1111-1-1-1-1-1-1-1-111-1-111-11-1111111111-1-1-1-11111111-1-1111-1-1-1-1-1-1-1-111-1-111-11-1111111111-1-1-1-11111111-1-1111-1-1-1-1-1-1-1-111-1-111-11-11
χ711111111-1-1-1-111-1-1-1-1111-1-11-1-1-1-11111-1-111-1-1-11-1111111111-1-1-1-111-1-1-1-1111-1-11-1-1-1-11111-1-111-1-1-11-1111111111-1-1-1-111-1-1-1-1111-1-11-1-1-1-11111-1-111-1-1-11-11
χ811111111-1-1-1-111-1-1-1-11-1-1111-1-1-1-11111-1-1-1-1111-11-111111111-1-1-1-111-1-1-1-11-1-1111-1-1-1-11111-1-1-1-1111-11-111111111-1-1-1-111-1-1-1-11-1-1111-1-1-1-11111-1-1-1-1111-11-1
χ911-1-1-111111-1-1-1-1ii−i−i-1i−ii−i111-1-1ii−i−ii−ii−ii−i11-1-111-1-1-111111-1-1-1-1ii−i−i-1i−ii−i111-1-1ii−i−ii−ii−ii−i11-1-111-1-1-111111-1-1-1-1ii−i−i-1i−ii−i111-1-1ii−i−ii−ii−ii−i11-1-1
χ1011-1-1-111111-1-1-1-1ii−i−i-1−ii−ii111-1-1ii−i−ii−i−ii−ii-1-11111-1-1-111111-1-1-1-1ii−i−i-1−ii−ii111-1-1ii−i−ii−i−ii−ii-1-11111-1-1-111111-1-1-1-1ii−i−i-1−ii−ii111-1-1ii−i−ii−i−ii−ii-1-111
χ1111-1-1-111111-1-1-1-1−i−iii-1i−ii−i111-1-1−i−iii−iii−ii−i-1-11111-1-1-111111-1-1-1-1−i−iii-1i−ii−i111-1-1−i−iii−iii−ii−i-1-11111-1-1-111111-1-1-1-1−i−iii-1i−ii−i111-1-1−i−iii−iii−ii−i-1-111
χ1211-1-1-111111-1-1-1-1−i−iii-1−ii−ii111-1-1−i−iii−ii−ii−ii11-1-111-1-1-111111-1-1-1-1−i−iii-1−ii−ii111-1-1−i−iii−ii−ii−ii11-1-111-1-1-111111-1-1-1-1−i−iii-1−ii−ii111-1-1−i−iii−ii−ii−ii11-1-1
χ1311-1-1-1111-1-111-1-1ii−i−i-1i−i−ii1-1-111−i−iiii−ii−i−ii1-1-1111-1-1-1111-1-111-1-1ii−i−i-1i−i−ii1-1-111−i−iiii−ii−i−ii1-1-1111-1-1-1111-1-111-1-1ii−i−i-1i−i−ii1-1-111−i−iiii−ii−i−ii1-1-11
χ1411-1-1-1111-1-111-1-1ii−i−i-1−iii−i1-1-111−i−iiii−i−iii−i-111-111-1-1-1111-1-111-1-1ii−i−i-1−iii−i1-1-111−i−iiii−i−iii−i-111-111-1-1-1111-1-111-1-1ii−i−i-1−iii−i1-1-111−i−iiii−i−iii−i-111-1
χ1511-1-1-1111-1-111-1-1−i−iii-1i−i−ii1-1-111ii−i−i−iii−i−ii-111-111-1-1-1111-1-111-1-1−i−iii-1i−i−ii1-1-111ii−i−i−iii−i−ii-111-111-1-1-1111-1-111-1-1−i−iii-1i−i−ii1-1-111ii−i−i−iii−i−ii-111-1
χ1611-1-1-1111-1-111-1-1−i−iii-1−iii−i1-1-111ii−i−i−ii−iii−i1-1-1111-1-1-1111-1-111-1-1−i−iii-1−iii−i1-1-111ii−i−i−ii−iii−i1-1-1111-1-1-1111-1-111-1-1−i−iii-1−iii−i1-1-111ii−i−i−ii−iii−i1-1-11
χ1722222-12-12222-1-10000-12222-1-1-1-1-1000000-1-1-1-1000022222-12-12222-1-10000-12222-1-1-1-1-1000000-1-1-1-1000022222-12-12222-1-10000-12222-1-1-1-1-1000000-1-1-1-10000
χ1822222-12-12222-1-10000-1-2-2-2-2-1-1-1-1-10000001111000022222-12-12222-1-10000-1-2-2-2-2-1-1-1-1-10000001111000022222-12-12222-1-10000-1-2-2-2-2-1-1-1-1-100000011110000
χ1922222-12-1-2-2-2-2-1-10000-122-2-2-11111000000-1-111000022222-12-1-2-2-2-2-1-10000-122-2-2-11111000000-1-111000022222-12-1-2-2-2-2-1-10000-122-2-2-11111000000-1-1110000
χ2022222-12-1-2-2-2-2-1-10000-1-2-222-1111100000011-1-1000022222-12-1-2-2-2-2-1-10000-1-2-222-1111100000011-1-1000022222-12-1-2-2-2-2-1-10000-1-2-222-1111100000011-1-10000
χ212222-22-220000222222-20000-200000000-2-2000000002222-22-220000222222-20000-200000000-2-2000000002222-22-220000222222-20000-200000000-2-200000000
χ222222-22-22000022-2-2-2-2-20000-20000000022000000002222-22-22000022-2-2-2-2-20000-20000000022000000002222-22-22000022-2-2-2-2-20000-2000000002200000000
χ2322-2-222-220000-2-22i2i−2i−2i20000-200000000−2i2i0000000022-2-222-220000-2-22i2i−2i−2i20000-200000000−2i2i0000000022-2-222-220000-2-22i2i−2i−2i20000-200000000−2i2i00000000
χ2422-2-222-220000-2-2−2i−2i2i2i20000-2000000002i−2i0000000022-2-222-220000-2-2−2i−2i2i2i20000-2000000002i−2i0000000022-2-222-220000-2-2−2i−2i2i2i20000-2000000002i−2i00000000
χ2522-2-2-2-12-122-2-211000012i−2i2i−2i-1-1-111000000−ii−ii000022-2-2-2-12-122-2-211000012i−2i2i−2i-1-1-111000000−ii−ii000022-2-2-2-12-122-2-211000012i−2i2i−2i-1-1-111000000−ii−ii0000
χ2622-2-2-2-12-122-2-21100001−2i2i−2i2i-1-1-111000000i−ii−i000022-2-2-2-12-122-2-21100001−2i2i−2i2i-1-1-111000000i−ii−i000022-2-2-2-12-122-2-21100001−2i2i−2i2i-1-1-111000000i−ii−i0000
χ2722-2-2-2-12-1-2-22211000012i−2i−2i2i-111-1-1000000−iii−i000022-2-2-2-12-1-2-22211000012i−2i−2i2i-111-1-1000000−iii−i000022-2-2-2-12-1-2-22211000012i−2i−2i2i-111-1-1000000−iii−i0000
χ2822-2-2-2-12-1-2-2221100001−2i2i2i−2i-111-1-1000000i−i−ii000022-2-2-2-12-1-2-2221100001−2i2i2i−2i-111-1-1000000i−i−ii000022-2-2-2-12-1-2-2221100001−2i2i2i−2i-111-1-1000000i−i−ii0000
χ292-22i−2i020-22−2i2−i22i−2i2ζ−2ζ2ζ3−2ζ30000002−2i2−i21+i−1−i1−i−1+i00000000002-22i−2i020-22−2i2−i22i−2i2ζ−2ζ2ζ3−2ζ30000002−2i2−i21+i−1−i1−i−1+i00000000002-22i−2i020-22−2i2−i22i−2i2ζ−2ζ2ζ3−2ζ30000002−2i2−i21+i−1−i1−i−1+i0000000000
χ302-22i−2i020-22−2i2−i22i−2i−2ζ2ζ−2ζ32ζ30000002−2i2−i2−1−i1+i−1+i1−i00000000002-22i−2i020-22−2i2−i22i−2i−2ζ2ζ−2ζ32ζ30000002−2i2−i2−1−i1+i−1+i1−i00000000002-22i−2i020-22−2i2−i22i−2i−2ζ2ζ−2ζ32ζ30000002−2i2−i2−1−i1+i−1+i1−i0000000000
χ312-22i−2i020-2−22−i2i22i−2i2ζ−2ζ2ζ3−2ζ3000000−22−i2i2−1−i1+i−1+i1−i00000000002-22i−2i020-2−22−i2i22i−2i2ζ−2ζ2ζ3−2ζ3000000−22−i2i2−1−i1+i−1+i1−i00000000002-22i−2i020-2−22−i2i22i−2i2ζ−2ζ2ζ3−2ζ3000000−22−i2i2−1−i1+i−1+i1−i0000000000
χ322-22i−2i020-2−22−i2i22i−2i−2ζ2ζ−2ζ32ζ3000000−22−i2i21+i−1−i1−i−1+i00000000002-22i−2i020-2−22−i2i22i−2i−2ζ2ζ−2ζ32ζ3000000−22−i2i21+i−1−i1−i−1+i00000000002-22i−2i020-2−22−i2i22i−2i−2ζ2ζ−2ζ32ζ3000000−22−i2i21+i−1−i1−i−1+i0000000000
χ332-2−2i2i020-22−2−i2i2−2i2i2ζ3−2ζ32ζ−2ζ0000002−2−i2i2−1+i1−i−1−i1+i00000000002-2−2i2i020-22−2−i2i2−2i2i2ζ3−2ζ32ζ−2ζ0000002−2−i2i2−1+i1−i−1−i1+i00000000002-2−2i2i020-22−2−i2i2−2i2i2ζ3−2ζ32ζ−2ζ0000002−2−i2i2−1+i1−i−1−i1+i0000000000
χ342-2−2i2i020-22−2−i2i2−2i2i−2ζ32ζ3−2ζ2ζ0000002−2−i2i21−i−1+i1+i−1−i00000000002-2−2i2i020-22−2−i2i2−2i2i−2ζ32ζ3−2ζ2ζ0000002−2−i2i21−i−1+i1+i−1−i00000000002-2−2i2i020-22−2−i2i2−2i2i−2ζ32ζ3−2ζ2ζ0000002−2−i2i21−i−1+i1+i−1−i0000000000
χ352-2−2i2i020-2−22i2−i2−2i2i2ζ3−2ζ32ζ−2ζ000000−22i2−i21−i−1+i1+i−1−i00000000002-2−2i2i020-2−22i2−i2−2i2i2ζ3−2ζ32ζ−2ζ000000−22i2−i21−i−1+i1+i−1−i00000000002-2−2i2i020-2−22i2−i2−2i2i2ζ3−2ζ32ζ−2ζ000000−22i2−i21−i−1+i1+i−1−i0000000000
χ362-2−2i2i020-2−22i2−i2−2i2i−2ζ32ζ3−2ζ2ζ000000−22i2−i2−1+i1−i−1−i1+i00000000002-2−2i2i020-2−22i2−i2−2i2i−2ζ32ζ3−2ζ2ζ000000−22i2−i2−1+i1−i−1−i1+i00000000002-2−2i2i020-2−22i2−i2−2i2i−2ζ32ζ3−2ζ2ζ000000−22i2−i2−1+i1−i−1−i1+i0000000000
χ374444-4-2-4-20000-2-200002000020000000000000000004444-4-2-4-20000-2-200002000020000000000000000004444-4-2-4-20000-2-20000200002000000000000000000
χ3844-4-44-2-4-20000220000-20000200000000000000000044-4-44-2-4-20000220000-20000200000000000000000044-4-44-2-4-20000220000-200002000000000000000000
χ394-44i−4i0-20222−222i2−2i2−2i2i0000000000−22−i2i2000000000000004-44i−4i0-20222−222i2−2i2−2i2i0000000000−22−i2i2000000000000004-44i−4i0-20222−222i2−2i2−2i2i0000000000−22−i2i200000000000000
χ404-44i−4i0-202−2222−2i22i2−2i2i00000000002−2i2−i2000000000000004-44i−4i0-202−2222−2i22i2−2i2i00000000002−2i2−i2000000000000004-44i−4i0-202−2222−2i22i2−2i2i00000000002−2i2−i200000000000000
χ414-4−4i4i0-20222−22−2i22i22i−2i0000000000−22i2−i2000000000000004-4−4i4i0-20222−22−2i22i22i−2i0000000000−22i2−i2000000000000004-4−4i4i0-20222−22−2i22i22i−2i0000000000−22i2−i200000000000000
χ424-4−4i4i0-202−22222i2−2i22i−2i00000000002−2−i2i2000000000000004-4−4i4i0-202−22222i2−2i22i−2i00000000002−2−i2i2000000000000004-4−4i4i0-202−22222i2−2i22i−2i00000000002−2−i2i200000000000000
χ43111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ441111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111111
χ4511111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ4611111111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-11111111111-1-1-1-1
χ4711111111-1-1-1-1111111111-1-11-1-1-1-1-1-1-1-11111-1-11-11-111111111-1-1-1-1111111111-1-11-1-1-1-1-1-1-1-11111-1-11-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-111111111-1-1-1-111-11-11
χ4811111111-1-1-1-11111111-1-1111-1-1-1-1-1-1-1-111-1-111-11-1111111111-1-1-1-11111111-1-1111-1-1-1-1-1-1-1-111-1-111-11-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-111111111-1-111-1-11-11-1
χ4911111111-1-1-1-111-1-1-1-1111-1-11-1-1-1-11111-1-111-1-1-11-1111111111-1-1-1-111-1-1-1-1111-1-11-1-1-1-11111-1-111-1-1-11-11-1-1-1-1-1-1-1-11111-1-11111-1-1-111-11111-1-1-1-111-1-1111-11-1
χ5011111111-1-1-1-111-1-1-1-11-1-1111-1-1-1-11111-1-1-1-1111-11-111111111-1-1-1-111-1-1-1-11-1-1111-1-1-1-11111-1-1-1-1111-11-1-1-1-1-1-1-1-1-11111-1-11111-111-1-1-11111-1-1-1-11111-1-1-11-11
χ5111-1-1-111111-1-1-1-1ii−i−i-1i−ii−i111-1-1ii−i−ii−ii−ii−i11-1-111-1-1-111111-1-1-1-1ii−i−i-1i−ii−i111-1-1ii−i−ii−ii−ii−i11-1-1-1-1111-1-1-1-1-11111−i−iii1−ii−ii-1-1-111−i−iii−ii−ii−ii-1-111
χ5211-1-1-111111-1-1-1-1ii−i−i-1−ii−ii111-1-1ii−i−ii−i−ii−ii-1-11111-1-1-111111-1-1-1-1ii−i−i-1−ii−ii111-1-1ii−i−ii−i−ii−ii-1-111-1-1111-1-1-1-1-11111−i−iii1i−ii−i-1-1-111−i−iii−iii−ii−i11-1-1
χ5311-1-1-111111-1-1-1-1−i−iii-1i−ii−i111-1-1−i−iii−iii−ii−i-1-11111-1-1-111111-1-1-1-1−i−iii-1i−ii−i111-1-1−i−iii−iii−ii−i-1-111-1-1111-1-1-1-1-11111ii−i−i1−ii−ii-1-1-111ii−i−ii−i−ii−ii11-1-1
χ5411-1-1-111111-1-1-1-1−i−iii-1−ii−ii111-1-1−i−iii−ii−ii−ii11-1-111-1-1-111111-1-1-1-1−i−iii-1−ii−ii111-1-1−i−iii−ii−ii−ii11-1-1-1-1111-1-1-1-1-11111ii−i−i1i−ii−i-1-1-111ii−i−ii−ii−ii−i-1-111
χ5511-1-1-1111-1-111-1-1ii−i−i-1i−i−ii1-1-111−i−iiii−ii−i−ii1-1-1111-1-1-1111-1-111-1-1ii−i−i-1i−i−ii1-1-111−i−iiii−ii−i−ii1-1-11-1-1111-1-1-111-1-111−i−iii1−iii−i-111-1-1ii−i−i−ii−iii−i-111-1
χ5611-1-1-1111-1-111-1-1ii−i−i-1−iii−i1-1-111−i−iiii−i−iii−i-111-111-1-1-1111-1-111-1-1ii−i−i-1−iii−i1-1-111−i−iiii−i−iii−i-111-1-1-1111-1-1-111-1-111−i−iii1i−i−ii-111-1-1ii−i−i−iii−i−ii1-1-11
χ5711-1-1-1111-1-111-1-1−i−iii-1i−i−ii1-1-111ii−i−i−iii−i−ii-111-111-1-1-1111-1-111-1-1−i−iii-1i−i−ii1-1-111ii−i−i−iii−i−ii-111-1-1-1111-1-1-111-1-111ii−i−i1−iii−i-111-1-1−i−iiii−i−iii−i1-1-11
χ5811-1-1-1111-1-111-1-1−i−iii-1−iii−i1-1-111ii−i−i−ii−iii−i1-1-1111-1-1-1111-1-111-1-1−i−iii-1−iii−i1-1-111ii−i−i−ii−iii−i1-1-11-1-1111-1-1-111-1-111ii−i−i1i−i−ii-111-1-1−i−iiii−ii−i−ii-111-1
χ5922222-12-12222-1-10000-12222-1-1-1-1-1000000-1-1-1-1000022222-12-12222-1-10000-12222-1-1-1-1-1000000-1-1-1-10000-2-2-2-2-21-21-2-2-2-21100001-2-2-2-21111100000011110000
χ6022222-12-12222-1-10000-1-2-2-2-2-1-1-1-1-10000001111000022222-12-12222-1-10000-1-2-2-2-2-1-1-1-1-100000011110000-2-2-2-2-21-21-2-2-2-21100001222211111000000-1-1-1-10000
χ6122222-12-1-2-2-2-2-1-10000-122-2-2-11111000000-1-111000022222-12-1-2-2-2-2-1-10000-122-2-2-11111000000-1-1110000-2-2-2-2-21-2122221100001-2-2221-1-1-1-100000011-1-10000
χ6222222-12-1-2-2-2-2-1-10000-1-2-222-1111100000011-1-1000022222-12-1-2-2-2-2-1-10000-1-2-222-1111100000011-1-10000-2-2-2-2-21-212222110000122-2-21-1-1-1-1000000-1-1110000
χ632222-22-220000222222-20000-200000000-2-2000000002222-22-220000222222-20000-200000000-2-200000000-2-2-2-22-22-20000-2-2-2-2-2-2200002000000002200000000
χ642222-22-22000022-2-2-2-2-20000-20000000022000000002222-22-22000022-2-2-2-2-20000-2000000002200000000-2-2-2-22-22-20000-2-2222220000200000000-2-200000000
χ6522-2-222-220000-2-22i2i−2i−2i20000-200000000−2i2i0000000022-2-222-220000-2-22i2i−2i−2i20000-200000000−2i2i00000000-2-222-2-22-2000022−2i−2i2i2i-200002000000002i−2i00000000
χ6622-2-222-220000-2-2−2i−2i2i2i20000-2000000002i−2i0000000022-2-222-220000-2-2−2i−2i2i2i20000-2000000002i−2i00000000-2-222-2-22-20000222i2i−2i−2i-20000200000000−2i2i00000000
χ6722-2-2-2-12-122-2-211000012i−2i2i−2i-1-1-111000000−ii−ii000022-2-2-2-12-122-2-211000012i−2i2i−2i-1-1-111000000−ii−ii0000-2-22221-21-2-222-1-10000-1−2i2i−2i2i111-1-1000000i−ii−i0000
χ6822-2-2-2-12-122-2-21100001−2i2i−2i2i-1-1-111000000i−ii−i000022-2-2-2-12-122-2-21100001−2i2i−2i2i-1-1-111000000i−ii−i0000-2-22221-21-2-222-1-10000-12i−2i2i−2i111-1-1000000−ii−ii0000
χ6922-2-2-2-12-1-2-22211000012i−2i−2i2i-111-1-1000000−iii−i000022-2-2-2-12-1-2-22211000012i−2i−2i2i-111-1-1000000−iii−i0000-2-22221-2122-2-2-1-10000-1−2i2i2i−2i1-1-111000000i−i−ii0000
χ7022-2-2-2-12-1-2-2221100001−2i2i2i−2i-111-1-1000000i−i−ii000022-2-2-2-12-1-2-2221100001−2i2i2i−2i-111-1-1000000i−i−ii0000-2-22221-2122-2-2-1-10000-12i−2i−2i2i1-1-111000000−iii−i0000
χ712-22i−2i020-22−2i2−i22i−2i2ζ−2ζ2ζ3−2ζ30000002−2i2−i21+i−1−i1−i−1+i00000000002-22i−2i020-22−2i2−i22i−2i2ζ−2ζ2ζ3−2ζ30000002−2i2−i21+i−1−i1−i−1+i0000000000-22−2i2i0-202−22−i2i2−2i2i−2ζ2ζ−2ζ32ζ3000000−22−i2i2−1−i1+i−1+i1−i0000000000
χ722-22i−2i020-22−2i2−i22i−2i−2ζ2ζ−2ζ32ζ30000002−2i2−i2−1−i1+i−1+i1−i00000000002-22i−2i020-22−2i2−i22i−2i−2ζ2ζ−2ζ32ζ30000002−2i2−i2−1−i1+i−1+i1−i0000000000-22−2i2i0-202−22−i2i2−2i2i2ζ−2ζ2ζ3−2ζ3000000−22−i2i21+i−1−i1−i−1+i0000000000
χ732-22i−2i020-2−22−i2i22i−2i2ζ−2ζ2ζ3−2ζ3000000−22−i2i2−1−i1+i−1+i1−i00000000002-22i−2i020-2−22−i2i22i−2i2ζ−2ζ2ζ3−2ζ3000000−22−i2i2−1−i1+i−1+i1−i0000000000-22−2i2i0-2022−2i2−i2−2i2i−2ζ2ζ−2ζ32ζ30000002−2i2−i21+i−1−i1−i−1+i0000000000
χ742-22i−2i020-2−22−i2i22i−2i−2ζ2ζ−2ζ32ζ3000000−22−i2i21+i−1−i1−i−1+i00000000002-22i−2i020-2−22−i2i22i−2i−2ζ2ζ−2ζ32ζ3000000−22−i2i21+i−1−i1−i−1+i0000000000-22−2i2i0-2022−2i2−i2−2i2i2ζ−2ζ2ζ3−2ζ30000002−2i2−i2−1−i1+i−1+i1−i0000000000
χ752-2−2i2i020-22−2−i2i2−2i2i2ζ3−2ζ32ζ−2ζ0000002−2−i2i2−1+i1−i−1−i1+i00000000002-2−2i2i020-22−2−i2i2−2i2i2ζ3−2ζ32ζ−2ζ0000002−2−i2i2−1+i1−i−1−i1+i0000000000-222i−2i0-202−22i2−i22i−2i−2ζ32ζ3−2ζ2ζ000000−22i2−i21−i−1+i1+i−1−i0000000000
χ762-2−2i2i020-22−2−i2i2−2i2i−2ζ32ζ3−2ζ2ζ0000002−2−i2i21−i−1+i1+i−1−i00000000002-2−2i2i020-22−2−i2i2−2i2i−2ζ32ζ3−2ζ2ζ0000002−2−i2i21−i−1+i1+i−1−i0000000000-222i−2i0-202−22i2−i22i−2i2ζ3−2ζ32ζ−2ζ000000−22i2−i2−1+i1−i−1−i1+i0000000000
χ772-2−2i2i020-2−22i2−i2−2i2i2ζ3−2ζ32ζ−2ζ000000−22i2−i21−i−1+i1+i−1−i00000000002-2−2i2i020-2−22i2−i2−2i2i2ζ3−2ζ32ζ−2ζ000000−22i2−i21−i−1+i1+i−1−i0000000000-222i−2i0-2022−2−i2i22i−2i−2ζ32ζ3−2ζ2ζ0000002−2−i2i2−1+i1−i−1−i1+i0000000000
χ782-2−2i2i020-2−22i2−i2−2i2i−2ζ32ζ3−2ζ2ζ000000−22i2−i2−1+i1−i−1−i1+i00000000002-2−2i2i020-2−22i2−i2−2i2i−2ζ32ζ3−2ζ2ζ000000−22i2−i2−1+i1−i−1−i1+i0000000000-222i−2i0-2022−2−i2i22i−2i2ζ3−2ζ32ζ−2ζ0000002−2−i2i21−i−1+i1+i−1−i0000000000
χ794444-4-2-4-20000-2-200002000020000000000000000004444-4-2-4-20000-2-20000200002000000000000000000-4-4-4-442420000220000-20000-2000000000000000000
χ8044-4-44-2-4-20000220000-20000200000000000000000044-4-44-2-4-20000220000-200002000000000000000000-4-444-42420000-2-2000020000-2000000000000000000
χ814-44i−4i0-20222−222i2−2i2−2i2i0000000000−22−i2i2000000000000004-44i−4i0-20222−222i2−2i2−2i2i0000000000−22−i2i200000000000000-44−4i4i020-2−2222−2i22i22i−2i00000000002−2i2−i200000000000000
χ824-44i−4i0-202−2222−2i22i2−2i2i00000000002−2i2−i2000000000000004-44i−4i0-202−2222−2i22i2−2i2i00000000002−2i2−i200000000000000-44−4i4i020-222−222i2−2i22i−2i0000000000−22−i2i200000000000000
χ834-4−4i4i0-20222−22−2i22i22i−2i0000000000−22i2−i2000000000000004-4−4i4i0-20222−22−2i22i22i−2i0000000000−22i2−i200000000000000-444i−4i020-2−22222i2−2i2−2i2i00000000002−2−i2i200000000000000
χ844-4−4i4i0-202−22222i2−2i22i−2i00000000002−2−i2i2000000000000004-4−4i4i0-202−22222i2−2i22i−2i00000000002−2−i2i200000000000000-444i−4i020-222−22−2i22i2−2i2i0000000000−22i2−i200000000000000
χ85222222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ862222222222222222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111111000000000000000000000000000000000000000000
χ8722222222222222-2-2-2-22222222222-2-2-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111000000000000000000000000000000000000000000
χ8822222222222222-2-2-2-22-2-2-2-222222-2-2-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-11111111111-1-1-1-1000000000000000000000000000000000000000000
χ8922222222-2-2-2-2222222222-2-22-2-2-2-2-2-2-2-22222-2-22-22-2-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-111111111-1-1-1-111-11-11000000000000000000000000000000000000000000
χ9022222222-2-2-2-22222222-2-2222-2-2-2-2-2-2-2-222-2-222-22-22-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-111111111-1-111-1-11-11-1000000000000000000000000000000000000000000
χ9122222222-2-2-2-222-2-2-2-2222-2-22-2-2-2-22222-2-222-2-2-22-22-1-1-1-1-1-1-1-11111-1-11111-1-1-111-11111-1-1-1-111-1-1111-11-1000000000000000000000000000000000000000000
χ9222222222-2-2-2-222-2-2-2-22-2-2222-2-2-2-22222-2-2-2-2222-22-2-1-1-1-1-1-1-1-11111-1-11111-111-1-1-11111-1-1-1-11111-1-1-11-11000000000000000000000000000000000000000000
χ9322-2-2-222222-2-2-2-22i2i−2i−2i-22i−2i2i−2i222-2-22i2i−2i−2i2i−2i2i−2i2i−2i22-2-2-1-1111-1-1-1-1-11111−i−iii1−ii−ii-1-1-111−i−iii−ii−ii−ii-1-111000000000000000000000000000000000000000000
χ9422-2-2-222222-2-2-2-22i2i−2i−2i-2−2i2i−2i2i222-2-22i2i−2i−2i2i−2i−2i2i−2i2i-2-222-1-1111-1-1-1-1-11111−i−iii1i−ii−i-1-1-111−i−iii−iii−ii−i11-1-1000000000000000000000000000000000000000000
χ9522-2-2-222222-2-2-2-2−2i−2i2i2i-22i−2i2i−2i222-2-2−2i−2i2i2i−2i2i2i−2i2i−2i-2-222-1-1111-1-1-1-1-11111ii−i−i1−ii−ii-1-1-111ii−i−ii−i−ii−ii11-1-1000000000000000000000000000000000000000000
χ9622-2-2-222222-2-2-2-2−2i−2i2i2i-2−2i2i−2i2i222-2-2−2i−2i2i2i−2i2i−2i2i−2i2i22-2-2-1-1111-1-1-1-1-11111ii−i−i1i−ii−i-1-1-111ii−i−ii−ii−ii−i-1-111000000000000000000000000000000000000000000
χ9722-2-2-2222-2-222-2-22i2i−2i−2i-22i−2i−2i2i2-2-222−2i−2i2i2i2i−2i2i−2i−2i2i2-2-22-1-1111-1-1-111-1-111−i−iii1−iii−i-111-1-1ii−i−i−ii−iii−i-111-1000000000000000000000000000000000000000000
χ9822-2-2-2222-2-222-2-22i2i−2i−2i-2−2i2i2i−2i2-2-222−2i−2i2i2i2i−2i−2i2i2i−2i-222-2-1-1111-1-1-111-1-111−i−iii1i−i−ii-111-1-1ii−i−i−iii−i−ii1-1-11000000000000000000000000000000000000000000
χ9922-2-2-2222-2-222-2-2−2i−2i2i2i-22i−2i−2i2i2-2-2222i2i−2i−2i−2i2i2i−2i−2i2i-222-2-1-1111-1-1-111-1-111ii−i−i1−iii−i-111-1-1−i−iiii−i−iii−i1-1-11000000000000000000000000000000000000000000
χ10022-2-2-2222-2-222-2-2−2i−2i2i2i-2−2i2i2i−2i2-2-2222i2i−2i−2i−2i2i−2i2i2i−2i2-2-22-1-1111-1-1-111-1-111ii−i−i1i−i−ii-111-1-1−i−iiii−ii−i−ii-111-1000000000000000000000000000000000000000000
χ10144444-24-24444-2-20000-24444-2-2-2-2-2000000-2-2-2-20000-2-2-2-2-21-21-2-2-2-21100001-2-2-2-21111100000011110000000000000000000000000000000000000000000000
χ10244444-24-24444-2-20000-2-4-4-4-4-2-2-2-2-200000022220000-2-2-2-2-21-21-2-2-2-21100001222211111000000-1-1-1-10000000000000000000000000000000000000000000000
χ10344444-24-2-4-4-4-4-2-20000-244-4-4-22222000000-2-2220000-2-2-2-2-21-2122221100001-2-2221-1-1-1-100000011-1-10000000000000000000000000000000000000000000000
χ10444444-24-2-4-4-4-4-2-20000-2-4-444-2222200000022-2-20000-2-2-2-2-21-212222110000122-2-21-1-1-1-1000000-1-1110000000000000000000000000000000000000000000000
χ1054444-44-440000444444-40000-400000000-4-400000000-2-2-2-22-22-20000-2-2-2-2-2-2200002000000002200000000000000000000000000000000000000000000000000
χ1064444-44-44000044-4-4-4-4-40000-4000000004400000000-2-2-2-22-22-20000-2-2222220000200000000-2-200000000000000000000000000000000000000000000000000
χ10744-4-444-440000-4-44i4i−4i−4i40000-400000000−4i4i00000000-2-222-2-22-2000022−2i−2i2i2i-200002000000002i−2i00000000000000000000000000000000000000000000000000
χ10844-4-444-440000-4-4−4i−4i4i4i40000-4000000004i−4i00000000-2-222-2-22-20000222i2i−2i−2i-20000200000000−2i2i00000000000000000000000000000000000000000000000000
χ10944-4-4-4-24-244-4-422000024i−4i4i−4i-2-2-222000000−2i2i−2i2i0000-2-22221-21-2-222-1-10000-1−2i2i−2i2i111-1-1000000i−ii−i0000000000000000000000000000000000000000000000
χ11044-4-4-4-24-244-4-42200002−4i4i−4i4i-2-2-2220000002i−2i2i−2i0000-2-22221-21-2-222-1-10000-12i−2i2i−2i111-1-1000000−ii−ii0000000000000000000000000000000000000000000000
χ11144-4-4-4-24-2-4-44422000024i−4i−4i4i-222-2-2000000−2i2i2i−2i0000-2-22221-2122-2-2-1-10000-1−2i2i2i−2i1-1-111000000i−i−ii0000000000000000000000000000000000000000000000
χ11244-4-4-4-24-2-4-4442200002−4i4i4i−4i-222-2-20000002i−2i−2i2i0000-2-22221-2122-2-2-1-10000-12i−2i−2i2i1-1-111000000−iii−i0000000000000000000000000000000000000000000000
χ1134-44i−4i040-422−222i2−2i24i−4i4ζ−4ζ4ζ3−4ζ300000022−222i2−2i22+2i−2−2i2−2i−2+2i0000000000-22−2i2i0-202−22−i2i2−2i2i−2ζ2ζ−2ζ32ζ3000000−22−i2i2−1−i1+i−1+i1−i0000000000000000000000000000000000000000000000000000
χ1144-44i−4i040-422−222i2−2i24i−4i−4ζ4ζ−4ζ34ζ300000022−222i2−2i2−2−2i2+2i−2+2i2−2i0000000000-22−2i2i0-202−22−i2i2−2i2i2ζ−2ζ2ζ3−2ζ3000000−22−i2i21+i−1−i1−i−1+i0000000000000000000000000000000000000000000000000000
χ1154-44i−4i040-4−2222−2i22i24i−4i4ζ−4ζ4ζ3−4ζ3000000−2222−2i22i2−2−2i2+2i−2+2i2−2i0000000000-22−2i2i0-2022−2i2−i2−2i2i−2ζ2ζ−2ζ32ζ30000002−2i2−i21+i−1−i1−i−1+i0000000000000000000000000000000000000000000000000000
χ1164-44i−4i040-4−2222−2i22i24i−4i−4ζ4ζ−4ζ34ζ3000000−2222−2i22i22+2i−2−2i2−2i−2+2i0000000000-22−2i2i0-2022−2i2−i2−2i2i2ζ−2ζ2ζ3−2ζ30000002−2i2−i2−1−i1+i−1+i1−i0000000000000000000000000000000000000000000000000000
χ1174-4−4i4i040-422−22−2i22i2−4i4i4ζ3−4ζ34ζ−4ζ00000022−22−2i22i2−2+2i2−2i−2−2i2+2i0000000000-222i−2i0-202−22i2−i22i−2i−2ζ32ζ3−2ζ2ζ000000−22i2−i21−i−1+i1+i−1−i0000000000000000000000000000000000000000000000000000
χ1184-4−4i4i040-422−22−2i22i2−4i4i−4ζ34ζ3−4ζ4ζ00000022−22−2i22i22−2i−2+2i2+2i−2−2i0000000000-222i−2i0-202−22i2−i22i−2i2ζ3−2ζ32ζ−2ζ000000−22i2−i2−1+i1−i−1−i1+i0000000000000000000000000000000000000000000000000000
χ1194-4−4i4i040-4−22222i2−2i2−4i4i4ζ3−4ζ34ζ−4ζ000000−22222i2−2i22−2i−2+2i2+2i−2−2i0000000000-222i−2i0-2022−2−i2i22i−2i−2ζ32ζ3−2ζ2ζ0000002−2−i2i2−1+i1−i−1−i1+i0000000000000000000000000000000000000000000000000000
χ1204-4−4i4i040-4−22222i2−2i2−4i4i−4ζ34ζ3−4ζ4ζ000000−22222i2−2i2−2+2i2−2i−2−2i2+2i0000000000-222i−2i0-2022−2−i2i22i−2i2ζ3−2ζ32ζ−2ζ0000002−2−i2i21−i−1+i1+i−1−i0000000000000000000000000000000000000000000000000000
χ1218888-8-4-8-40000-4-40000400004000000000000000000-4-4-4-442420000220000-20000-2000000000000000000000000000000000000000000000000000000000000
χ12288-8-88-4-8-40000440000-400004000000000000000000-4-444-42420000-2-2000020000-2000000000000000000000000000000000000000000000000000000000000
χ1238-88i−8i0-40442−424i2−4i2−4i4i0000000000−2222−2i22i200000000000000-44−4i4i020-2−2222−2i22i22i−2i00000000002−2i2−i200000000000000000000000000000000000000000000000000000000
χ1248-88i−8i0-404−4242−4i24i2−4i4i000000000022−222i2−2i200000000000000-44−4i4i020-222−222i2−2i22i−2i0000000000−22−i2i200000000000000000000000000000000000000000000000000000000
χ1258-8−8i8i0-40442−42−4i24i24i−4i0000000000−22222i2−2i200000000000000-444i−4i020-2−22222i2−2i2−2i2i00000000002−2−i2i200000000000000000000000000000000000000000000000000000000
χ1268-8−8i8i0-404−42424i2−4i24i−4i000000000022−22−2i22i200000000000000-444i−4i020-222−22−2i22i2−2i2i0000000000−22i2−i200000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.