Finite Group Databasebeta

← Group #11779708

Character table — Group #11779708

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size111122222222444444488888888888812121212121216161624242424241111222222224444444888888888888121212121212161616242424242411112222222244444448888888888881212121212121616162424242424
order12223444466622412121212466881212122424242422888841212224883666312121212666661212121212126624241212122424242466242424241212126612242436663121212126666612121212121266242412121224242424662424242412121266122424
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
χ5111111111111-1-111111-1-1-1111-1-11111111111-1-1-1-1-11-1-1111111111111-1-111111-1-1-1111-1-11111111111-1-1-1-1-11-1-1111111111111-1-111111-1-1-1111-1-11111111111-1-1-1-1-11-1-1
χ6111111111111-1-111111-1-1-1111-1-11111-1-1-1-1-1-1-1-1-111-111111111111111-1-111111-1-1-1111-1-11111-1-1-1-1-1-1-1-1-111-111111111111111-1-111111-1-1-1111-1-11111-1-1-1-1-1-1-1-1-111-111
χ7111111111111-1-111111-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1111-1-1111111111111111-1-111111-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1111-1-1111111111111111-1-111111-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1111-1-1111
χ8111111111111-1-111111-1-1-1-1-11-1-1-1-1-1-1-1-1111111111-1-1-1111111111111-1-111111-1-1-1-1-11-1-1-1-1-1-1-1-1111111111-1-1-1111111111111-1-111111-1-1-1-1-11-1-1-1-1-1-1-1-1111111111-1-1-1
χ9222222-22-222222-22-2-22-22200-2-2-2000000000000000000222222-22-222222-22-2-22-22200-2-2-2000000000000000000222222-22-222222-22-2-22-22200-2-2-2000000000000000000
χ10222222-22-2222-2-2-22-2-222-2-200-222000000000000000000222222-22-2222-2-2-22-2-222-2-200-222000000000000000000222222-22-2222-2-2-22-2-222-2-200-222000000000000000000
χ1122222-22-2222200-2-222-200000-200000022000000000-20022222-22-2222200-2-222-200000-200000022000000000-20022222-22-2222200-2-222-200000-200000022000000000-200
χ1222222-22-2222200-2-222-200000-2000000-2-200000000020022222-22-2222200-2-222-200000-2000000-2-200000000020022222-22-2222200-2-222-200000-2000000-2-2000000000200
χ1322222-2-2-2-2222002-2-2-2-20000020000000000000002-200022222-2-2-2-2222002-2-2-2-20000020000000000000002-200022222-2-2-2-2222002-2-2-2-20000020000000000000002-2000
χ1422222-2-2-2-2222002-2-2-2-2000002000000000000000-2200022222-2-2-2-2222002-2-2-2-2000002000000000000000-2200022222-2-2-2-2222002-2-2-2-2000002000000000000000-22000
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
χ172222-12222-1-1-1-2-22-1-1-1-1-21122-111-1-1-1-1000000-211000002222-12222-1-1-1-2-22-1-1-1-1-21122-111-1-1-1-1000000-211000002222-12222-1-1-1-2-22-1-1-1-1-21122-111-1-1-1-1000000-21100000
χ182222-12222-1-1-1-2-22-1-1-1-1-211-2-2-11111110000002-1-1000002222-12222-1-1-1-2-22-1-1-1-1-211-2-2-11111110000002-1-1000002222-12222-1-1-1-2-22-1-1-1-1-211-2-2-11111110000002-1-100000
χ192222-12-22-2-1-1-122-2-111-1-2-1-100111−i3−i3i3i30000000−i3i3000002222-12-22-2-1-1-122-2-111-1-2-1-100111−i3−i3i3i30000000−i3i3000002222-12-22-2-1-1-122-2-111-1-2-1-100111−i3−i3i3i30000000−i3i300000
χ202222-12-22-2-1-1-122-2-111-1-2-1-100111i3i3−i3−i30000000i3−i3000002222-12-22-2-1-1-122-2-111-1-2-1-100111i3i3−i3−i30000000i3−i3000002222-12-22-2-1-1-122-2-111-1-2-1-100111i3i3−i3−i30000000i3−i300000
χ212222-12-22-2-1-1-1-2-2-2-111-1211001-1-1−i3−i3i3i30000000i3−i3000002222-12-22-2-1-1-1-2-2-2-111-1211001-1-1−i3−i3i3i30000000i3−i3000002222-12-22-2-1-1-1-2-2-2-111-1211001-1-1−i3−i3i3i30000000i3−i300000
χ222222-12-22-2-1-1-1-2-2-2-111-1211001-1-1i3i3−i3−i30000000−i3i3000002222-12-22-2-1-1-1-2-2-2-111-1211001-1-1i3i3−i3−i30000000−i3i3000002222-12-22-2-1-1-1-2-2-2-111-1211001-1-1i3i3−i3−i30000000−i3i300000
χ232-22-220-202-2-2200002-200002−20002−22−22-222−2−2000000002-22-220-202-2-2200002-200002−20002−22−22-222−2−2000000002-22-220-202-2-2200002-200002−20002−22−22-222−2−200000000
χ242-22-220-202-2-2200002-200002−20002−22−2-22−2−222000000002-22-220-202-2-2200002-200002−20002−22−2-22−2−222000000002-22-220-202-2-2200002-200002−20002−22−2-22−2−22200000000
χ252-22-220-202-2-2200002-20000−22000−22−222-2−2−222000000002-22-220-202-2-2200002-20000−22000−22−222-2−2−222000000002-22-220-202-2-2200002-20000−22000−22−222-2−2−22200000000
χ262-22-220-202-2-2200002-20000−22000−22−22-2222−2−2000000002-22-220-202-2-2200002-20000−22000−22−22-2222−2−2000000002-22-220-202-2-2200002-20000−22000−22−22-2222−2−200000000
χ272-2-22220-202-2-22-20200-202-200000000000−i2i2−i2i2000000−i2i22-2-22220-202-2-22-20200-202-200000000000−i2i2−i2i2000000−i2i22-2-22220-202-2-22-20200-202-200000000000−i2i2−i2i2000000−i2i2
χ282-2-22220-202-2-22-20200-202-200000000000i2−i2i2−i2000000i2−i22-2-22220-202-2-22-20200-202-200000000000i2−i2i2−i2000000i2−i22-2-22220-202-2-22-20200-202-200000000000i2−i2i2−i2000000i2−i2
χ292-2-22220-202-2-2-220200-20-2200000000000−i2i2−i2i2000000i2−i22-2-22220-202-2-2-220200-20-2200000000000−i2i2−i2i2000000i2−i22-2-22220-202-2-2-220200-20-2200000000000−i2i2−i2i2000000i2−i2
χ302-2-22220-202-2-2-220200-20-2200000000000i2−i2i2−i2000000−i2i22-2-22220-202-2-2-220200-20-2200000000000i2−i2i2−i2000000−i2i22-2-22220-202-2-2-220200-20-2200000000000i2−i2i2−i2000000−i2i2
χ314444-2-44-44-2-2-200-42-2-22000002000000000000000000004444-2-44-44-2-2-200-42-2-22000002000000000000000000004444-2-44-44-2-2-200-42-2-2200000200000000000000000000
χ324444-2-4-4-4-4-2-2-2004222200000-2000000000000000000004444-2-4-4-4-4-2-2-2004222200000-2000000000000000000004444-2-4-4-4-4-2-2-2004222200000-200000000000000000000
χ3344-4-440000-44-40000000000000000000002i−2i−2i2i0000000044-4-440000-44-40000000000000000000002i−2i−2i2i0000000044-4-440000-44-40000000000000000000002i−2i−2i2i00000000
χ3444-4-440000-44-4000000000000000000000−2i2i2i−2i0000000044-4-440000-44-4000000000000000000000−2i2i2i−2i0000000044-4-440000-44-4000000000000000000000−2i2i2i−2i00000000
χ354-44-44040-4-4-440000-440000000000000000000000000004-44-44040-4-4-440000-440000000000000000000000000004-44-44040-4-4-440000-44000000000000000000000000000
χ364-44-4-2040-422-200002-2000000000i6−i6−i6i6000000000000004-44-4-2040-422-200002-2000000000i6−i6−i6i6000000000000004-44-4-2040-422-200002-2000000000i6−i6−i6i600000000000000
χ374-44-4-2040-422-200002-2000000000−i6i6i6−i6000000000000004-44-4-2040-422-200002-2000000000−i6i6i6−i6000000000000004-44-4-2040-422-200002-2000000000−i6i6i6−i600000000000000
χ384-44-4-20-40422-20000-22000022−22000−22−22000000000000004-44-4-20-40422-20000-22000022−22000−22−22000000000000004-44-4-20-40422-20000-22000022−22000−22−2200000000000000
χ394-44-4-20-40422-20000-220000−22220002−22−2000000000000004-44-4-20-40422-20000-220000−22220002−22−2000000000000004-44-4-20-40422-20000-220000−22220002−22−200000000000000
χ404-4-444-40404-4-4000-4004000000000000000000000000004-4-444-40404-4-4000-4004000000000000000000000000004-4-444-40404-4-4000-400400000000000000000000000000
χ414-4-44-240-40-2224-40-20020-22000000000000000000000004-4-44-240-40-2224-40-20020-22000000000000000000000004-4-44-240-40-2224-40-20020-2200000000000000000000000
χ424-4-44-240-40-222-440-200202-2000000000000000000000004-4-44-240-40-222-440-200202-2000000000000000000000004-4-44-240-40-222-440-200202-200000000000000000000000
χ434-4-44-2-4040-222000200-200000023−230000000000000000004-4-44-2-4040-222000200-200000023−230000000000000000004-4-44-2-4040-222000200-200000023−23000000000000000000
χ444-4-44-2-4040-222000200-2000000−23230000000000000000004-4-44-2-4040-222000200-2000000−23230000000000000000004-4-44-2-4040-222000200-2000000−2323000000000000000000
χ4588-8-8-400004-4400000000000000000000000000000000088-8-8-400004-4400000000000000000000000000000000088-8-8-400004-44000000000000000000000000000000000
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
χ50111111111111-1-111111-1-1-1111-1-11111111111-1-1-1-1-11-1-1−1+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+i32−1+i321−i321−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−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+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−i321+i321+i321+i321+i321+i32−1−i321+i321+i32
χ51111111111111-1-111111-1-1-1111-1-11111-1-1-1-1-1-1-1-1-111-111−1+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−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+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+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32
χ52111111111111-1-111111-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1111-1-1111−1+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−i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+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−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32
χ53111111111111-1-111111-1-1-1-1-11-1-1-1-1-1-1-1-1111111111-1-1-1−1+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−i321−i321−i32−1+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+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+i321+i321+i32−1−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−i321+i321+i321+i32
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χ1092222-12-22-2-1-1-122-2-111-1-2-1-100111−i3−i3i3i30000000−i3i300000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i3−1−i31+i31+i321+i321+i32−1−i3−1−i31+i31+i32−1−i32−1−i321+i321+i31+i321+i3200−1−i32−1−i32−1−i32−3+i32−3+i323−i323−i320000000−3+i323−i3200000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i3−1+i31−i31−i321−i321−i32−1+i3−1+i31−i31−i32−1+i32−1+i321−i321−i31−i321−i3200−1+i32−1+i32−1+i323+i323+i32−3−i32−3−i3200000003+i32−3−i3200000
χ1102222-12-22-2-1-1-122-2-111-1-2-1-100111i3i3−i3−i30000000i3−i300000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i3−1−i31+i31+i321+i321+i32−1−i3−1−i31+i31+i32−1−i32−1−i321+i321+i31+i321+i3200−1−i32−1−i32−1−i323−i323−i32−3+i32−3+i3200000003−i32−3+i3200000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i3−1+i31−i31−i321−i321−i32−1+i3−1+i31−i31−i32−1+i32−1+i321−i321−i31−i321−i3200−1+i32−1+i32−1+i32−3−i32−3−i323+i323+i320000000−3−i323+i3200000
χ1112222-12-22-2-1-1-1-2-2-2-111-1211001-1-1−i3−i3i3i30000000i3−i300000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i3−1−i31+i31+i321+i321+i321+i31+i31+i31+i32−1−i32−1−i321+i32−1−i3−1−i32−1−i3200−1−i321+i321+i32−3+i32−3+i323−i323−i3200000003−i32−3+i3200000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i3−1+i31−i31−i321−i321−i321−i31−i31−i31−i32−1+i32−1+i321−i32−1+i3−1+i32−1+i3200−1+i321−i321−i323+i323+i32−3−i32−3−i320000000−3−i323+i3200000
χ1122222-12-22-2-1-1-1-2-2-2-111-1211001-1-1i3i3−i3−i30000000−i3i300000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i3−1−i31+i31+i321+i321+i321+i31+i31+i31+i32−1−i32−1−i321+i32−1−i3−1−i32−1−i3200−1−i321+i321+i323−i323−i32−3+i32−3+i320000000−3+i323−i3200000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i3−1+i31−i31−i321−i321−i321−i31−i31−i31−i32−1+i32−1+i321−i32−1+i3−1+i32−1+i3200−1+i321−i321−i32−3−i32−3−i323+i323+i3200000003+i32−3−i3200000
χ1132-22-220-202-2-2200002-200002−20002−22−22-222−2−200000000−1−i31+i3−1−i31+i3−1−i301+i30−1−i31+i31+i3−1−i30000−1−i31+i30000−ζ7+ζ13ζ7−ζ13000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−1−i31+i3−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ1300000000−1+i31−i3−1+i31−i3−1+i301−i30−1+i31−i31−i3−1+i30000−1+i31−i30000ζ5−ζ23−ζ5+ζ23000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−1+i31−i3ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ2300000000
χ1142-22-220-202-2-2200002-200002−20002−22−2-22−2−22200000000−1−i31+i3−1−i31+i3−1−i301+i30−1−i31+i31+i3−1−i30000−1−i31+i30000−ζ7+ζ13ζ7−ζ13000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ131+i3−1−i3ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ1300000000−1+i31−i3−1+i31−i3−1+i301−i30−1+i31−i31−i3−1+i30000−1+i31−i30000ζ5−ζ23−ζ5+ζ23000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ231−i3−1+i3−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ2300000000
χ1152-22-220-202-2-2200002-20000−22000−22−222-2−2−22200000000−1−i31+i3−1−i31+i3−1−i301+i30−1−i31+i31+i3−1−i30000−1−i31+i30000ζ7−ζ13−ζ7+ζ13000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−1−i31+i3ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ1300000000−1+i31−i3−1+i31−i3−1+i301−i30−1+i31−i31−i3−1+i30000−1+i31−i30000−ζ5+ζ23ζ5−ζ23000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−1+i31−i3−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ2300000000
χ1162-22-220-202-2-2200002-20000−22000−22−22-2222−2−200000000−1−i31+i3−1−i31+i3−1−i301+i30−1−i31+i31+i3−1−i30000−1−i31+i30000ζ7−ζ13−ζ7+ζ13000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ131+i3−1−i3−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ1300000000−1+i31−i3−1+i31−i3−1+i301−i30−1+i31−i31−i3−1+i30000−1+i31−i30000−ζ5+ζ23ζ5−ζ23000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ231−i3−1+i3ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ2300000000
χ1172-2-22220-202-2-22-20200-202-200000000000−i2i2−i2i2000000−i2i2−1−i31+i31+i3−1−i3−1−i3−1−i301+i30−1−i31+i31+i3−1−i31+i30−1−i3001+i30−1−i31+i300000000000ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13000000ζ7+ζ13−ζ7−ζ13−1+i31−i31−i3−1+i3−1+i3−1+i301−i30−1+i31−i31−i3−1+i31−i30−1+i3001−i30−1+i31−i300000000000ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23000000ζ5+ζ23−ζ5−ζ23
χ1182-2-22220-202-2-22-20200-202-200000000000i2−i2i2−i2000000i2−i2−1−i31+i31+i3−1−i3−1−i3−1−i301+i30−1−i31+i31+i3−1−i31+i30−1−i3001+i30−1−i31+i300000000000−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13000000−ζ7−ζ13ζ7+ζ13−1+i31−i31−i3−1+i3−1+i3−1+i301−i30−1+i31−i31−i3−1+i31−i30−1+i3001−i30−1+i31−i300000000000−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23000000−ζ5−ζ23ζ5+ζ23
χ1192-2-22220-202-2-2-220200-20-2200000000000−i2i2−i2i2000000i2−i2−1−i31+i31+i3−1−i3−1−i3−1−i301+i30−1−i31+i31+i31+i3−1−i30−1−i3001+i301+i3−1−i300000000000ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13000000−ζ7−ζ13ζ7+ζ13−1+i31−i31−i3−1+i3−1+i3−1+i301−i30−1+i31−i31−i31−i3−1+i30−1+i3001−i301−i3−1+i300000000000ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23000000−ζ5−ζ23ζ5+ζ23
χ1202-2-22220-202-2-2-220200-20-2200000000000i2−i2i2−i2000000−i2i2−1−i31+i31+i3−1−i3−1−i3−1−i301+i30−1−i31+i31+i31+i3−1−i30−1−i3001+i301+i3−1−i300000000000−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13000000ζ7+ζ13−ζ7−ζ13−1+i31−i31−i3−1+i3−1+i3−1+i301−i30−1+i31−i31−i31−i3−1+i30−1+i3001−i301−i3−1+i300000000000−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23000000ζ5+ζ23−ζ5−ζ23
χ1214444-2-44-44-2-2-200-42-2-2200000200000000000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i32+2i3−2−2i32+2i3−2−2i31+i31+i31+i3002+2i3−1−i31+i31+i3−1−i300000−1−i300000000000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i32−2i3−2+2i32−2i3−2+2i31−i31−i31−i3002−2i3−1+i31−i31−i3−1+i300000−1+i300000000000000000000
χ1224444-2-4-4-4-4-2-2-2004222200000-200000000000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i32+2i32+2i32+2i32+2i31+i31+i31+i300−2−2i3−1−i3−1−i3−1−i3−1−i3000001+i300000000000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i32−2i32−2i32−2i32−2i31−i31−i31−i300−2+2i3−1+i3−1+i3−1+i3−1+i3000001−i300000000000000000000
χ12344-4-440000-44-40000000000000000000002i−2i−2i2i00000000−2−2i3−2−2i32+2i32+2i3−2−2i300002+2i3−2−2i32+2i30000000000000000000002ζ22−2ζ22−2ζ222ζ2200000000−2+2i3−2+2i32−2i32−2i3−2+2i300002−2i3−2+2i32−2i30000000000000000000002ζ14−2ζ14−2ζ142ζ1400000000
χ12444-4-440000-44-4000000000000000000000−2i2i2i−2i00000000−2−2i3−2−2i32+2i32+2i3−2−2i300002+2i3−2−2i32+2i3000000000000000000000−2ζ222ζ222ζ22−2ζ2200000000−2+2i3−2+2i32−2i32−2i3−2+2i300002−2i3−2+2i32−2i3000000000000000000000−2ζ142ζ142ζ14−2ζ1400000000
χ1254-44-44040-4-4-440000-44000000000000000000000000000−2−2i32+2i3−2−2i32+2i3−2−2i30−2−2i302+2i32+2i32+2i3−2−2i300002+2i3−2−2i3000000000000000000000000000−2+2i32−2i3−2+2i32−2i3−2+2i30−2+2i302−2i32−2i32−2i3−2+2i300002−2i3−2+2i3000000000000000000000000000
χ1264-44-4-2040-422-200002-2000000000i6−i6−i6i600000000000000−2−2i32+2i3−2−2i32+2i31+i30−2−2i302+2i3−1−i3−1−i31+i30000−1−i31+i3000000000−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ232ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ2300000000000000−2+2i32−2i3−2+2i32−2i31−i30−2+2i302−2i3−1+i3−1+i31−i30000−1+i31−i3000000000ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ23−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ2300000000000000
χ1274-44-4-2040-422-200002-2000000000−i6i6i6−i600000000000000−2−2i32+2i3−2−2i32+2i31+i30−2−2i302+2i3−1−i3−1−i31+i30000−1−i31+i30000000002ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ23−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ2300000000000000−2+2i32−2i3−2+2i32−2i31−i30−2+2i302−2i3−1+i3−1+i31−i30000−1+i31−i3000000000−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ23ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ2300000000000000
χ1284-44-4-20-40422-20000-22000022−22000−22−2200000000000000−2−2i32+2i3−2−2i32+2i31+i302+2i30−2−2i3−1−i3−1−i31+i300001+i3−1−i30000−2ζ7+2ζ132ζ7−2ζ13000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ1300000000000000−2+2i32−2i3−2+2i32−2i31−i302−2i30−2+2i3−1+i3−1+i31−i300001−i3−1+i300002ζ5−2ζ23−2ζ5+2ζ23000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ2300000000000000
χ1294-44-4-20-40422-20000-220000−22220002−22−200000000000000−2−2i32+2i3−2−2i32+2i31+i302+2i30−2−2i3−1−i3−1−i31+i300001+i3−1−i300002ζ7−2ζ13−2ζ7+2ζ13000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ1300000000000000−2+2i32−2i3−2+2i32−2i31−i302−2i30−2+2i3−1+i3−1+i31−i300001−i3−1+i30000−2ζ5+2ζ232ζ5−2ζ23000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ2300000000000000
χ1304-4-444-40404-4-4000-400400000000000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i32+2i30−2−2i30−2−2i32+2i32+2i30002+2i300−2−2i300000000000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i32−2i30−2+2i30−2+2i32−2i32−2i30002−2i300−2+2i300000000000000000000000000
χ1314-4-44-240-40-2224-40-20020-2200000000000000000000000−2−2i32+2i32+2i3−2−2i31+i3−2−2i302+2i301+i3−1−i3−1−i3−2−2i32+2i301+i300−1−i301+i3−1−i300000000000000000000000−2+2i32−2i32−2i3−2+2i31−i3−2+2i302−2i301−i3−1+i3−1+i3−2+2i32−2i301−i300−1+i301−i3−1+i300000000000000000000000
χ1324-4-44-240-40-222-440-200202-200000000000000000000000−2−2i32+2i32+2i3−2−2i31+i3−2−2i302+2i301+i3−1−i3−1−i32+2i3−2−2i301+i300−1−i30−1−i31+i300000000000000000000000−2+2i32−2i32−2i3−2+2i31−i3−2+2i302−2i301−i3−1+i3−1+i32−2i3−2+2i301−i300−1+i30−1+i31−i300000000000000000000000
χ1334-4-44-2-4040-222000200-200000023−23000000000000000000−2−2i32+2i32+2i3−2−2i31+i32+2i30−2−2i301+i3−1−i3−1−i3000−1−i3001+i30000004ζ14+2ζ22−4ζ14−2ζ22000000000000000000−2+2i32−2i32−2i3−2+2i31−i32−2i30−2+2i301−i3−1+i3−1+i3000−1+i3001−i3000000−2ζ14−4ζ222ζ14+4ζ22000000000000000000
χ1344-4-44-2-4040-222000200-2000000−2323000000000000000000−2−2i32+2i32+2i3−2−2i31+i32+2i30−2−2i301+i3−1−i3−1−i3000−1−i3001+i3000000−4ζ14−2ζ224ζ14+2ζ22000000000000000000−2+2i32−2i32−2i3−2+2i31−i32−2i30−2+2i301−i3−1+i3−1+i3000−1+i3001−i30000002ζ14+4ζ22−2ζ14−4ζ22000000000000000000
χ13588-8-8-400004-44000000000000000000000000000000000−4−4i3−4−4i34+4i34+4i32+2i30000−2−2i32+2i3−2−2i3000000000000000000000000000000000−4+4i3−4+4i34−4i34−4i32−2i30000−2+2i32−2i3−2+2i3000000000000000000000000000000000

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