Finite Group Databasebeta

← Group #84262

Character table — Group #84262

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111111111111111144444444444444444444444444441111111111111111444444444444444444444444444411111111111111114444444444444444444444444444
order1222222244444444222244444444444444444444444436666666121212121212121266661212121212121212121212121212121212121212121212123666666612121212121212126666121212121212121212121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ61111111111111111-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1
χ71111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ911111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-111-1-111
χ1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-11111-1-1-1-111
χ1211111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1
χ1311111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ1411111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-111
χ1511111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-111-1-111
χ1611111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-111-1-111-1-1
χ17222-2-22-2-22222-2-2-2-2000000002i−2i2i−2i0000000000000000222-2-22-2-22222-2-2-2-2000000002i−2i2i−2i0000000000000000222-2-22-2-22222-2-2-2-2000000002i−2i2i−2i0000000000000000
χ18222-2-22-2-22222-2-2-2-200000000−2i2i−2i2i0000000000000000222-2-22-2-22222-2-2-2-200000000−2i2i−2i2i0000000000000000222-2-22-2-22222-2-2-2-200000000−2i2i−2i2i0000000000000000
χ19222-2-22-2-2-2-2-2-22222000000002i−2i−2i2i0000000000000000222-2-22-2-2-2-2-2-22222000000002i−2i−2i2i0000000000000000222-2-22-2-2-2-2-2-22222000000002i−2i−2i2i0000000000000000
χ20222-2-22-2-2-2-2-2-2222200000000−2i2i2i−2i0000000000000000222-2-22-2-2-2-2-2-2222200000000−2i2i2i−2i0000000000000000222-2-22-2-2-2-2-2-2222200000000−2i2i2i−2i0000000000000000
χ2122-22-2-22-22i2i−2i−2i2i2i−2i−2i0000000000000000000000002-22i−2i22-22-2-22-22i2i−2i−2i2i2i−2i−2i0000000000000000000000002-22i−2i22-22-2-22-22i2i−2i−2i2i2i−2i−2i0000000000000000000000002-22i−2i
χ2222-22-2-22-22i2i−2i−2i2i2i−2i−2i000000000000000000000000-22−2i2i22-22-2-22-22i2i−2i−2i2i2i−2i−2i000000000000000000000000-22−2i2i22-22-2-22-22i2i−2i−2i2i2i−2i−2i000000000000000000000000-22−2i2i
χ2322-22-2-22-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000002-2−2i2i22-22-2-22-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000002-2−2i2i22-22-2-22-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000002-2−2i2i
χ2422-22-2-22-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000-222i−2i22-22-2-22-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000-222i−2i22-22-2-22-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000-222i−2i
χ2522-2-22-2-222i2i−2i−2i−2i−2i2i2i2-200000000002i−2i0000000000000022-2-22-2-222i2i−2i−2i−2i−2i2i2i2-200000000002i−2i0000000000000022-2-22-2-222i2i−2i−2i−2i−2i2i2i2-200000000002i−2i00000000000000
χ2622-2-22-2-222i2i−2i−2i−2i−2i2i2i-220000000000−2i2i0000000000000022-2-22-2-222i2i−2i−2i−2i−2i2i2i-220000000000−2i2i0000000000000022-2-22-2-222i2i−2i−2i−2i−2i2i2i-220000000000−2i2i00000000000000
χ2722-2-22-2-22−2i−2i2i2i2i2i−2i−2i2-20000000000−2i2i0000000000000022-2-22-2-22−2i−2i2i2i2i2i−2i−2i2-20000000000−2i2i0000000000000022-2-22-2-22−2i−2i2i2i2i2i−2i−2i2-20000000000−2i2i00000000000000
χ2822-2-22-2-22−2i−2i2i2i2i2i−2i−2i-2200000000002i−2i0000000000000022-2-22-2-22−2i−2i2i2i2i2i−2i−2i-2200000000002i−2i0000000000000022-2-22-2-22−2i−2i2i2i2i2i−2i−2i-2200000000002i−2i00000000000000
χ292-222-2-2-222i−2i2i−2i2i−2i2i−2i002-200000000002i−2i0000000000002-222-2-2-222i−2i2i−2i2i−2i2i−2i002-200000000002i−2i0000000000002-222-2-2-222i−2i2i−2i2i−2i2i−2i002-200000000002i−2i000000000000
χ302-222-2-2-222i−2i2i−2i2i−2i2i−2i00-220000000000−2i2i0000000000002-222-2-2-222i−2i2i−2i2i−2i2i−2i00-220000000000−2i2i0000000000002-222-2-2-222i−2i2i−2i2i−2i2i−2i00-220000000000−2i2i000000000000
χ312-222-2-2-22−2i2i−2i2i−2i2i−2i2i002-20000000000−2i2i0000000000002-222-2-2-22−2i2i−2i2i−2i2i−2i2i002-20000000000−2i2i0000000000002-222-2-2-22−2i2i−2i2i−2i2i−2i2i002-20000000000−2i2i000000000000
χ322-222-2-2-22−2i2i−2i2i−2i2i−2i2i00-2200000000002i−2i0000000000002-222-2-2-22−2i2i−2i2i−2i2i−2i2i00-2200000000002i−2i0000000000002-222-2-2-22−2i2i−2i2i−2i2i−2i2i00-2200000000002i−2i000000000000
χ332-22-22-22-22i−2i2i−2i−2i2i−2i2i000000000000000000002i−2i2-200002-22-22-22-22i−2i2i−2i−2i2i−2i2i000000000000000000002i−2i2-200002-22-22-22-22i−2i2i−2i−2i2i−2i2i000000000000000000002i−2i2-20000
χ342-22-22-22-22i−2i2i−2i−2i2i−2i2i00000000000000000000−2i2i-2200002-22-22-22-22i−2i2i−2i−2i2i−2i2i00000000000000000000−2i2i-2200002-22-22-22-22i−2i2i−2i−2i2i−2i2i00000000000000000000−2i2i-220000
χ352-22-22-22-2−2i2i−2i2i2i−2i2i−2i000000000000000000002i−2i-2200002-22-22-22-2−2i2i−2i2i2i−2i2i−2i000000000000000000002i−2i-2200002-22-22-22-2−2i2i−2i2i2i−2i2i−2i000000000000000000002i−2i-220000
χ362-22-22-22-2−2i2i−2i2i2i−2i2i−2i00000000000000000000−2i2i2-200002-22-22-22-2−2i2i−2i2i2i−2i2i−2i00000000000000000000−2i2i2-200002-22-22-22-2−2i2i−2i2i2i−2i2i−2i00000000000000000000−2i2i2-20000
χ372-2-2222-2-22-2-222-2-2200002i−2i2i−2i000000000000000000002-2-2222-2-22-2-222-2-2200002i−2i2i−2i000000000000000000002-2-2222-2-22-2-222-2-2200002i−2i2i−2i00000000000000000000
χ382-2-2222-2-22-2-222-2-220000−2i2i−2i2i000000000000000000002-2-2222-2-22-2-222-2-220000−2i2i−2i2i000000000000000000002-2-2222-2-22-2-222-2-220000−2i2i−2i2i00000000000000000000
χ392-2-2222-2-2-222-2-222-200002i−2i−2i2i000000000000000000002-2-2222-2-2-222-2-222-200002i−2i−2i2i000000000000000000002-2-2222-2-2-222-2-222-200002i−2i−2i2i00000000000000000000
χ402-2-2222-2-2-222-2-222-20000−2i2i2i−2i000000000000000000002-2-2222-2-2-222-2-222-20000−2i2i2i−2i000000000000000000002-2-2222-2-2-222-2-222-20000−2i2i2i−2i00000000000000000000
χ412-2-2-2-22222-2-22-222-200000000000000002-22-2000000002-2-2-2-22222-2-22-222-200000000000000002-22-2000000002-2-2-2-22222-2-22-222-200000000000000002-22-200000000
χ422-2-2-2-22222-2-22-222-20000000000000000-22-22000000002-2-2-2-22222-2-22-222-20000000000000000-22-22000000002-2-2-2-22222-2-22-222-20000000000000000-22-2200000000
χ432-2-2-2-2222-222-22-2-2200000000000000002-2-22000000002-2-2-2-2222-222-22-2-2200000000000000002-2-22000000002-2-2-2-2222-222-22-2-2200000000000000002-2-2200000000
χ442-2-2-2-2222-222-22-2-220000000000000000-222-2000000002-2-2-2-2222-222-22-2-220000000000000000-222-2000000002-2-2-2-2222-222-22-2-220000000000000000-222-200000000
χ4511111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ4611111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−1+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+i321−i321−i321−i321−i321−i321−i321−i321−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−i321+i321+i321+i321+i321+i321+i321+i321+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
χ47111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1−1+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−i32−1+i32−1+i32−1+i32−1+i321−i321−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−i32−1−i32−1−i32−1−i32−1−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−i321+i321+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
χ48111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111−1+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−i321−i321−i32−1+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−i32−1−i32−1−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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ491111111111111111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111−1+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+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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−i32−1−i32−1−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−i32−1−i321+i321+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
χ501111111111111111-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1−1+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+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+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−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
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χ5311111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-111-1-111-1-1−1+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+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+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−i321+i321+i321+i321+i321+i321+i321+i321+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−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ5411111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-111-1-111−1+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+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
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χ10011111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1−1−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−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−i321+i321+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+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+i321−i321−i32
χ10111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1−1−i32−1−i32−1−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−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−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+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+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+i32−1+i32−1+i321−i321−i32
χ10211111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−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+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ10311111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-111-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+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−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+i321−i321−i321−i321−i321−i321−i321−i321−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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ10411111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-111-1-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+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−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+i321−i321−i321−i321−i321−i321−i321−i321−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+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ105222-2-22-2-22222-2-2-2-2000000002i−2i2i−2i0000000000000000−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000002ζ11−2ζ112ζ11−2ζ110000000000000000−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000002ζ7−2ζ72ζ7−2ζ70000000000000000
χ106222-2-22-2-22222-2-2-2-200000000−2i2i−2i2i0000000000000000−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300000000−2ζ112ζ11−2ζ112ζ110000000000000000−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300000000−2ζ72ζ7−2ζ72ζ70000000000000000
χ107222-2-22-2-2-2-2-2-22222000000002i−2i−2i2i0000000000000000−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3000000002ζ11−2ζ11−2ζ112ζ110000000000000000−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3000000002ζ7−2ζ7−2ζ72ζ70000000000000000
χ108222-2-22-2-2-2-2-2-2222200000000−2i2i2i−2i0000000000000000−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i300000000−2ζ112ζ112ζ11−2ζ110000000000000000−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i300000000−2ζ72ζ72ζ7−2ζ70000000000000000
χ10922-22-2-22-22i2i−2i−2i2i2i−2i−2i0000000000000000000000002-22i−2i−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i32ζ112ζ11−2ζ11−2ζ112ζ112ζ11−2ζ11−2ζ11000000000000000000000000−1−i31+i32ζ11−2ζ11−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i32ζ72ζ7−2ζ7−2ζ72ζ72ζ7−2ζ7−2ζ7000000000000000000000000−1+i31−i32ζ7−2ζ7
χ11022-22-2-22-22i2i−2i−2i2i2i−2i−2i000000000000000000000000-22−2i2i−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i32ζ112ζ11−2ζ11−2ζ112ζ112ζ11−2ζ11−2ζ110000000000000000000000001+i3−1−i3−2ζ112ζ11−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i32ζ72ζ7−2ζ7−2ζ72ζ72ζ7−2ζ7−2ζ70000000000000000000000001−i3−1+i3−2ζ72ζ7
χ11122-22-2-22-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000002-2−2i2i−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−2ζ11−2ζ112ζ112ζ11−2ζ11−2ζ112ζ112ζ11000000000000000000000000−1−i31+i3−2ζ112ζ11−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−2ζ7−2ζ72ζ72ζ7−2ζ7−2ζ72ζ72ζ7000000000000000000000000−1+i31−i3−2ζ72ζ7
χ11222-22-2-22-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000-222i−2i−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−2ζ11−2ζ112ζ112ζ11−2ζ11−2ζ112ζ112ζ110000000000000000000000001+i3−1−i32ζ11−2ζ11−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−2ζ7−2ζ72ζ72ζ7−2ζ7−2ζ72ζ72ζ70000000000000000000000001−i3−1+i32ζ7−2ζ7
χ11322-2-22-2-222i2i−2i−2i−2i−2i2i2i2-200000000002i−2i00000000000000−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i32ζ112ζ11−2ζ11−2ζ11−2ζ11−2ζ112ζ112ζ11−1−i31+i300000000002ζ11−2ζ1100000000000000−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i32ζ72ζ7−2ζ7−2ζ7−2ζ7−2ζ72ζ72ζ7−1+i31−i300000000002ζ7−2ζ700000000000000
χ11422-2-22-2-222i2i−2i−2i−2i−2i2i2i-220000000000−2i2i00000000000000−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i32ζ112ζ11−2ζ11−2ζ11−2ζ11−2ζ112ζ112ζ111+i3−1−i30000000000−2ζ112ζ1100000000000000−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i32ζ72ζ7−2ζ7−2ζ7−2ζ7−2ζ72ζ72ζ71−i3−1+i30000000000−2ζ72ζ700000000000000
χ11522-2-22-2-22−2i−2i2i2i2i2i−2i−2i2-20000000000−2i2i00000000000000−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−2ζ11−2ζ112ζ112ζ112ζ112ζ11−2ζ11−2ζ11−1−i31+i30000000000−2ζ112ζ1100000000000000−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−2ζ7−2ζ72ζ72ζ72ζ72ζ7−2ζ7−2ζ7−1+i31−i30000000000−2ζ72ζ700000000000000
χ11622-2-22-2-22−2i−2i2i2i2i2i−2i−2i-2200000000002i−2i00000000000000−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−2ζ11−2ζ112ζ112ζ112ζ112ζ11−2ζ11−2ζ111+i3−1−i300000000002ζ11−2ζ1100000000000000−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−2ζ7−2ζ72ζ72ζ72ζ72ζ7−2ζ7−2ζ71−i3−1+i300000000002ζ7−2ζ700000000000000
χ1172-222-2-2-222i−2i2i−2i2i−2i2i−2i002-200000000002i−2i000000000000−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i32ζ11−2ζ112ζ11−2ζ112ζ11−2ζ112ζ11−2ζ1100−1−i31+i300000000002ζ11−2ζ11000000000000−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i32ζ7−2ζ72ζ7−2ζ72ζ7−2ζ72ζ7−2ζ700−1+i31−i300000000002ζ7−2ζ7000000000000
χ1182-222-2-2-222i−2i2i−2i2i−2i2i−2i00-220000000000−2i2i000000000000−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i32ζ11−2ζ112ζ11−2ζ112ζ11−2ζ112ζ11−2ζ11001+i3−1−i30000000000−2ζ112ζ11000000000000−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i32ζ7−2ζ72ζ7−2ζ72ζ7−2ζ72ζ7−2ζ7001−i3−1+i30000000000−2ζ72ζ7000000000000
χ1192-222-2-2-22−2i2i−2i2i−2i2i−2i2i002-20000000000−2i2i000000000000−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−2ζ112ζ11−2ζ112ζ11−2ζ112ζ11−2ζ112ζ1100−1−i31+i30000000000−2ζ112ζ11000000000000−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−2ζ72ζ7−2ζ72ζ7−2ζ72ζ7−2ζ72ζ700−1+i31−i30000000000−2ζ72ζ7000000000000
χ1202-222-2-2-22−2i2i−2i2i−2i2i−2i2i00-2200000000002i−2i000000000000−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−2ζ112ζ11−2ζ112ζ11−2ζ112ζ11−2ζ112ζ11001+i3−1−i300000000002ζ11−2ζ11000000000000−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−2ζ72ζ7−2ζ72ζ7−2ζ72ζ7−2ζ72ζ7001−i3−1+i300000000002ζ7−2ζ7000000000000
χ1212-22-22-22-22i−2i2i−2i−2i2i−2i2i000000000000000000002i−2i2-20000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i32ζ11−2ζ112ζ11−2ζ11−2ζ112ζ11−2ζ112ζ11000000000000000000002ζ11−2ζ11−1−i31+i30000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i32ζ7−2ζ72ζ7−2ζ7−2ζ72ζ7−2ζ72ζ7000000000000000000002ζ7−2ζ7−1+i31−i30000
χ1222-22-22-22-22i−2i2i−2i−2i2i−2i2i00000000000000000000−2i2i-220000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i32ζ11−2ζ112ζ11−2ζ11−2ζ112ζ11−2ζ112ζ1100000000000000000000−2ζ112ζ111+i3−1−i30000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i32ζ7−2ζ72ζ7−2ζ7−2ζ72ζ7−2ζ72ζ700000000000000000000−2ζ72ζ71−i3−1+i30000
χ1232-22-22-22-2−2i2i−2i2i2i−2i2i−2i000000000000000000002i−2i-220000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−2ζ112ζ11−2ζ112ζ112ζ11−2ζ112ζ11−2ζ11000000000000000000002ζ11−2ζ111+i3−1−i30000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−2ζ72ζ7−2ζ72ζ72ζ7−2ζ72ζ7−2ζ7000000000000000000002ζ7−2ζ71−i3−1+i30000
χ1242-22-22-22-2−2i2i−2i2i2i−2i2i−2i00000000000000000000−2i2i2-20000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−2ζ112ζ11−2ζ112ζ112ζ11−2ζ112ζ11−2ζ1100000000000000000000−2ζ112ζ11−1−i31+i30000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−2ζ72ζ7−2ζ72ζ72ζ7−2ζ72ζ7−2ζ700000000000000000000−2ζ72ζ7−1+i31−i30000
χ1252-2-2222-2-22-2-222-2-2200002i−2i2i−2i00000000000000000000−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i300002ζ11−2ζ112ζ11−2ζ1100000000000000000000−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i300002ζ7−2ζ72ζ7−2ζ700000000000000000000
χ1262-2-2222-2-22-2-222-2-220000−2i2i−2i2i00000000000000000000−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i30000−2ζ112ζ11−2ζ112ζ1100000000000000000000−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i30000−2ζ72ζ7−2ζ72ζ700000000000000000000
χ1272-2-2222-2-2-222-2-222-200002i−2i−2i2i00000000000000000000−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i300002ζ11−2ζ11−2ζ112ζ1100000000000000000000−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i300002ζ7−2ζ7−2ζ72ζ700000000000000000000
χ1282-2-2222-2-2-222-2-222-20000−2i2i2i−2i00000000000000000000−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i30000−2ζ112ζ112ζ11−2ζ1100000000000000000000−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i30000−2ζ72ζ72ζ7−2ζ700000000000000000000
χ1292-2-2-2-22222-2-22-222-200000000000000002-22-200000000−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i30000000000000000−1−i31+i3−1−i31+i300000000−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i30000000000000000−1+i31−i3−1+i31−i300000000
χ1302-2-2-2-22222-2-22-222-20000000000000000-22-2200000000−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i300000000000000001+i3−1−i31+i3−1−i300000000−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i300000000000000001−i3−1+i31−i3−1+i300000000
χ1312-2-2-2-2222-222-22-2-2200000000000000002-2-2200000000−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i30000000000000000−1−i31+i31+i3−1−i300000000−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i30000000000000000−1+i31−i31−i3−1+i300000000
χ1322-2-2-2-2222-222-22-2-220000000000000000-222-200000000−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i300000000000000001+i3−1−i3−1−i31+i300000000−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i300000000000000001−i3−1+i3−1+i31−i300000000

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