Finite Group Databasebeta

← Group #10592327

Character table — Group #10592327

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222244444444444444444412121212121212121111111122222222444444444444444444121212121212121211111111222222224444444444444444441212121212121212
order1222222236666666444444121212121212121212121212444444443666666636666666121212121212121212121212121212121212121212121212121236666666366666661212121212121212121212121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ61111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ71111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ922222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100000000
χ1122222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000022222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000022222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100000000
χ1222222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000022222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000022222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100000000
χ13222-22-2-2-22222-2-2-2-200000000000000000000002-200222-22-2-2-22222-2-2-2-200000000000000000000002-200222-22-2-2-22222-2-2-2-200000000000000000000002-200
χ14222-22-2-2-22222-2-2-2-20000000000000000000000-2200222-22-2-2-22222-2-2-2-20000000000000000000000-2200222-22-2-2-22222-2-2-2-20000000000000000000000-2200
χ1522-22-22-2-222-2-222-2-2000000000000000000002-2000022-22-22-2-222-2-222-2-2000000000000000000002-2000022-22-22-2-222-2-222-2-2000000000000000000002-20000
χ1622-22-22-2-222-2-222-2-200000000000000000000-22000022-22-22-2-222-2-222-2-200000000000000000000-22000022-22-22-2-222-2-222-2-200000000000000000000-220000
χ1722-2-2-2-22222-2-2-2-22200002-20000000022-2-20000000022-2-2-2-22222-2-2-2-22200002-20000000022-2-20000000022-2-2-2-22222-2-2-2-22200002-20000000022-2-200000000
χ1822-2-2-2-22222-2-2-2-2220000-2200000000-2-2220000000022-2-2-2-22222-2-2-2-2220000-2200000000-2-2220000000022-2-2-2-22222-2-2-2-2220000-2200000000-2-22200000000
χ1922-2-2-2-222-1-11111-1-100002-2−i3−i3i3i3−i3−i3i3i3-1-1110000000022-2-2-2-222-1-11111-1-100002-2−i3−i3i3i3−i3−i3i3i3-1-1110000000022-2-2-2-222-1-11111-1-100002-2−i3−i3i3i3−i3−i3i3i3-1-11100000000
χ2022-2-2-2-222-1-11111-1-100002-2i3i3−i3−i3i3i3−i3−i3-1-1110000000022-2-2-2-222-1-11111-1-100002-2i3i3−i3−i3i3i3−i3−i3-1-1110000000022-2-2-2-222-1-11111-1-100002-2i3i3−i3−i3i3i3−i3−i3-1-11100000000
χ2122-2-2-2-222-1-11111-1-10000-22−i3−i3i3i3i3i3−i3−i311-1-10000000022-2-2-2-222-1-11111-1-10000-22−i3−i3i3i3i3i3−i3−i311-1-10000000022-2-2-2-222-1-11111-1-10000-22−i3−i3i3i3i3i3−i3−i311-1-100000000
χ2222-2-2-2-222-1-11111-1-10000-22i3i3−i3−i3−i3−i3i3i311-1-10000000022-2-2-2-222-1-11111-1-10000-22i3i3−i3−i3−i3−i3i3i311-1-10000000022-2-2-2-222-1-11111-1-10000-22i3i3−i3−i3−i3−i3i3i311-1-100000000
χ232-222-2-22-22-22-22-22-20000000000000000002-20000002-222-2-22-22-22-22-22-20000000000000000002-20000002-222-2-22-22-22-22-22-20000000000000000002-2000000
χ242-222-2-22-22-22-22-22-2000000000000000000-220000002-222-2-22-22-22-22-22-2000000000000000000-220000002-222-2-22-22-22-22-22-2000000000000000000-22000000
χ252-22-2-22-222-22-2-22-22002-20000002-22-20000000000002-22-2-22-222-22-2-22-22002-20000002-22-20000000000002-22-2-22-222-22-2-22-22002-20000002-22-2000000000000
χ262-22-2-22-222-22-2-22-2200-22000000-22-220000000000002-22-2-22-222-22-2-22-2200-22000000-22-220000000000002-22-2-22-222-22-2-22-2200-22000000-22-22000000000000
χ272-22-2-22-22-11-111-11-1002-200−i3i3−i3i3-11-11−i3i3−i3i3000000002-22-2-22-22-11-111-11-1002-200−i3i3−i3i3-11-11−i3i3−i3i3000000002-22-2-22-22-11-111-11-1002-200−i3i3−i3i3-11-11−i3i3−i3i300000000
χ282-22-2-22-22-11-111-11-1002-200i3−i3i3−i3-11-11i3−i3i3−i3000000002-22-2-22-22-11-111-11-1002-200i3−i3i3−i3-11-11i3−i3i3−i3000000002-22-2-22-22-11-111-11-1002-200i3−i3i3−i3-11-11i3−i3i3−i300000000
χ292-22-2-22-22-11-111-11-100-2200−i3i3−i3i31-11-1i3−i3i3−i3000000002-22-2-22-22-11-111-11-100-2200−i3i3−i3i31-11-1i3−i3i3−i3000000002-22-2-22-22-11-111-11-100-2200−i3i3−i3i31-11-1i3−i3i3−i300000000
χ302-22-2-22-22-11-111-11-100-2200i3−i3i3−i31-11-1−i3i3−i3i3000000002-22-2-22-22-11-111-11-100-2200i3−i3i3−i31-11-1−i3i3−i3i3000000002-22-2-22-22-11-111-11-100-2200i3−i3i3−i31-11-1−i3i3−i3i300000000
χ312-2-222-2-222-2-222-2-222-200002-2-2200000000000000002-2-222-2-222-2-222-2-222-200002-2-2200000000000000002-2-222-2-222-2-222-2-222-200002-2-220000000000000000
χ322-2-222-2-222-2-222-2-22-220000-222-200000000000000002-2-222-2-222-2-222-2-22-220000-222-200000000000000002-2-222-2-222-2-222-2-22-220000-222-20000000000000000
χ332-2-222-2-22-111-1-111-12-20000-111-1−i3i3i3−i3−i3i3i3−i3000000002-2-222-2-22-111-1-111-12-20000-111-1−i3i3i3−i3−i3i3i3−i3000000002-2-222-2-22-111-1-111-12-20000-111-1−i3i3i3−i3−i3i3i3−i300000000
χ342-2-222-2-22-111-1-111-12-20000-111-1i3−i3−i3i3i3−i3−i3i3000000002-2-222-2-22-111-1-111-12-20000-111-1i3−i3−i3i3i3−i3−i3i3000000002-2-222-2-22-111-1-111-12-20000-111-1i3−i3−i3i3i3−i3−i3i300000000
χ352-2-222-2-22-111-1-111-1-2200001-1-11−i3i3i3−i3i3−i3−i3i3000000002-2-222-2-22-111-1-111-1-2200001-1-11−i3i3i3−i3i3−i3−i3i3000000002-2-222-2-22-111-1-111-1-2200001-1-11−i3i3i3−i3i3−i3−i3i300000000
χ362-2-222-2-22-111-1-111-1-2200001-1-11i3−i3−i3i3−i3i3i3−i3000000002-2-222-2-22-111-1-111-1-2200001-1-11i3−i3−i3i3−i3i3i3−i3000000002-2-222-2-22-111-1-111-1-2200001-1-11i3−i3−i3i3−i3i3i3−i300000000
χ372-2-2-2222-22-2-22-222-20000000000000000000000002i−2i2-2-2-2222-22-2-22-222-20000000000000000000000002i−2i2-2-2-2222-22-2-22-222-20000000000000000000000002i−2i
χ382-2-2-2222-22-2-22-222-2000000000000000000000000−2i2i2-2-2-2222-22-2-22-222-2000000000000000000000000−2i2i2-2-2-2222-22-2-22-222-2000000000000000000000000−2i2i
χ39444-44-4-4-4-2-2-2-2222200000000000000000000000000444-44-4-4-4-2-2-2-2222200000000000000000000000000444-44-4-4-4-2-2-2-2222200000000000000000000000000
χ4044-44-44-4-4-2-222-2-2220000000000000000000000000044-44-44-4-4-2-222-2-2220000000000000000000000000044-44-44-4-4-2-222-2-22200000000000000000000000000
χ414-444-4-44-4-22-22-22-22000000000000000000000000004-444-4-44-4-22-22-22-22000000000000000000000000004-444-4-44-4-22-22-22-2200000000000000000000000000
χ424-4-4-4444-4-222-22-2-22000000000000000000000000004-4-4-4444-4-222-22-2-22000000000000000000000000004-4-4-4444-4-222-22-2-2200000000000000000000000000
χ43111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ441111111111111111111111111111111111-1-1-1-1-1-1-1-1−1+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+i32−1+i32−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i321+i321+i32
χ45111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ46111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ471111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ481111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111−1+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+i321−i321−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+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−i321+i321+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−i321+i321+i32−1−i32−1−i32
χ491111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111−1+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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ501111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+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−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
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χ1072-222-2-22-22-22-22-22-20000000000000000002-2000000−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3000000000000000000−1−i31+i3000000−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3000000000000000000−1+i31−i3000000
χ1082-222-2-22-22-22-22-22-2000000000000000000-22000000−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i30000000000000000001+i3−1−i3000000−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i30000000000000000001−i3−1+i3000000
χ1092-22-2-22-222-22-2-22-22002-20000002-22-2000000000000−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i300−1−i31+i3000000−1−i31+i3−1−i31+i3000000000000−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i300−1+i31−i3000000−1+i31−i3−1+i31−i3000000000000
χ1102-22-2-22-222-22-2-22-2200-22000000-22-22000000000000−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i3001+i3−1−i30000001+i3−1−i31+i3−1−i3000000000000−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i3001−i3−1+i30000001−i3−1+i31−i3−1+i3000000000000
χ1112-22-2-22-22-11-111-11-1002-200−i3i3−i3i3-11-11−i3i3−i3i300000000−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i31+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i3200−1−i31+i300−3+i323−i32−3+i323−i321+i32−1−i321+i32−1−i32−3+i323−i32−3+i323−i3200000000−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i31−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i3200−1+i31−i3003+i32−3−i323+i32−3−i321−i32−1+i321−i32−1+i323+i32−3−i323+i32−3−i3200000000
χ1122-22-2-22-22-11-111-11-1002-200i3−i3i3−i3-11-11i3−i3i3−i300000000−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i31+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i3200−1−i31+i3003−i32−3+i323−i32−3+i321+i32−1−i321+i32−1−i323−i32−3+i323−i32−3+i3200000000−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i31−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i3200−1+i31−i300−3−i323+i32−3−i323+i321−i32−1+i321−i32−1+i32−3−i323+i32−3−i323+i3200000000
χ1132-22-2-22-22-11-111-11-100-2200−i3i3−i3i31-11-1i3−i3i3−i300000000−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i31+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32001+i3−1−i300−3+i323−i32−3+i323−i32−1−i321+i32−1−i321+i323−i32−3+i323−i32−3+i3200000000−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i31−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32001−i3−1+i3003+i32−3−i323+i32−3−i32−1+i321−i32−1+i321−i32−3−i323+i32−3−i323+i3200000000
χ1142-22-2-22-22-11-111-11-100-2200i3−i3i3−i31-11-1−i3i3−i3i300000000−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i31+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32001+i3−1−i3003−i32−3+i323−i32−3+i32−1−i321+i32−1−i321+i32−3+i323−i32−3+i323−i3200000000−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i31−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32001−i3−1+i300−3−i323+i32−3−i323+i32−1+i321−i32−1+i321−i323+i32−3−i323+i32−3−i3200000000
χ1152-2-222-2-222-2-222-2-222-200002-2-220000000000000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i30000−1−i31+i31+i3−1−i30000000000000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i30000−1+i31−i31−i3−1+i30000000000000000
χ1162-2-222-2-222-2-222-2-22-220000-222-20000000000000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i300001+i3−1−i3−1−i31+i30000000000000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i300001−i3−1+i3−1+i31−i30000000000000000
χ1172-2-222-2-22-111-1-111-12-20000-111-1−i3i3i3−i3−i3i3i3−i300000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i31+i300001+i32−1−i32−1−i321+i32−3+i323−i323−i32−3+i32−3+i323−i323−i32−3+i3200000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i31−i300001−i32−1+i32−1+i321−i323+i32−3−i32−3−i323+i323+i32−3−i32−3−i323+i3200000000
χ1182-2-222-2-22-111-1-111-12-20000-111-1i3−i3−i3i3i3−i3−i3i300000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i31+i300001+i32−1−i32−1−i321+i323−i32−3+i32−3+i323−i323−i32−3+i32−3+i323−i3200000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i31−i300001−i32−1+i32−1+i321−i32−3−i323+i323+i32−3−i32−3−i323+i323+i32−3−i3200000000
χ1192-2-222-2-22-111-1-111-1-2200001-1-11−i3i3i3−i3i3−i3−i3i300000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i3−1−i30000−1−i321+i321+i32−1−i32−3+i323−i323−i32−3+i323−i32−3+i32−3+i323−i3200000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i3−1+i30000−1+i321−i321−i32−1+i323+i32−3−i32−3−i323+i32−3−i323+i323+i32−3−i3200000000
χ1202-2-222-2-22-111-1-111-1-2200001-1-11i3−i3−i3i3−i3i3i3−i300000000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i3−1−i30000−1−i321+i321+i32−1−i323−i32−3+i32−3+i323−i32−3+i323−i323−i32−3+i3200000000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i3−1+i30000−1+i321−i321−i32−1+i32−3−i323+i323+i32−3−i323+i32−3−i32−3−i323+i3200000000
χ1212-2-2-2222-22-2-22-222-20000000000000000000000002i−2i−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i30000000000000000000000002ζ11−2ζ11−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i30000000000000000000000002ζ7−2ζ7
χ1222-2-2-2222-22-2-22-222-2000000000000000000000000−2i2i−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3000000000000000000000000−2ζ112ζ11−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3000000000000000000000000−2ζ72ζ7
χ123444-44-4-4-4-2-2-2-2222200000000000000000000000000−2−2i3−2−2i3−2−2i32+2i3−2−2i32+2i32+2i32+2i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i300000000000000000000000000−2+2i3−2+2i3−2+2i32−2i3−2+2i32−2i32−2i32−2i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i300000000000000000000000000
χ12444-44-44-4-4-2-222-2-22200000000000000000000000000−2−2i3−2−2i32+2i3−2−2i32+2i3−2−2i32+2i32+2i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i300000000000000000000000000−2+2i3−2+2i32−2i3−2+2i32−2i3−2+2i32−2i32−2i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i300000000000000000000000000
χ1254-444-4-44-4-22-22-22-2200000000000000000000000000−2−2i32+2i3−2−2i3−2−2i32+2i32+2i3−2−2i32+2i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i300000000000000000000000000−2+2i32−2i3−2+2i3−2+2i32−2i32−2i3−2+2i32−2i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i300000000000000000000000000
χ1264-4-4-4444-4-222-22-2-2200000000000000000000000000−2−2i32+2i32+2i32+2i3−2−2i3−2−2i3−2−2i32+2i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i300000000000000000000000000−2+2i32−2i32−2i32−2i3−2+2i3−2+2i3−2+2i32−2i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i300000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.