Finite Group Databasebeta

← Group #72709

Character table — Group #72709

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111111112222222222222222222222222222888888881111111122222222222222222222222222228888888811111111222222222222222222222222222288888888
order1222444422444444444444444444444444444444888836661212121266121212121212121212121212121212121212121212121212121212121212242424243666121212126612121212121212121212121212121212121212121212121212121212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ6111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ7111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ8111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ91111-1-1-1-1-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-1i−ii−i1111-1-1-1-1-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-1i−ii−i1111-1-1-1-1-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-1i−ii−i
χ101111-1-1-1-1-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11−ii−ii1111-1-1-1-1-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11−ii−ii1111-1-1-1-1-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11−ii−ii
χ111111-1-1-1-1-1-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1−ii−ii1111-1-1-1-1-1-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1−ii−ii1111-1-1-1-1-1-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1−ii−ii
χ121111-1-1-1-1-1-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11i−ii−i1111-1-1-1-1-1-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11i−ii−i1111-1-1-1-1-1-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11i−ii−i
χ131111-1-1-1-1-1-111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1-1-11i−i−ii1111-1-1-1-1-1-111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1-1-11i−i−ii1111-1-1-1-1-1-111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1-1-11i−i−ii
χ141111-1-1-1-1-1-111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-111-1−iii−i1111-1-1-1-1-1-111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-111-1−iii−i1111-1-1-1-1-1-111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-111-1−iii−i
χ151111-1-1-1-1-1-111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1-1-11−iii−i1111-1-1-1-1-1-111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1-1-11−iii−i1111-1-1-1-1-1-111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1-1-11−iii−i
χ161111-1-1-1-1-1-111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-111-1i−i−ii1111-1-1-1-1-1-111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-111-1i−i−ii1111-1-1-1-1-1-111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-111-1i−i−ii
χ1722222222-2-2-2-222-2-222-2-200000000000000000000000022222222-2-2-2-222-2-222-2-200000000000000000000000022222222-2-2-2-222-2-222-2-2000000000000000000000000
χ1822222222-2-2-2-2-2-222-2-22200000000000000000000000022222222-2-2-2-2-2-222-2-22200000000000000000000000022222222-2-2-2-2-2-222-2-222000000000000000000000000
χ192222-2-2-2-222-2-222-2-2-2-2220000000000000000000000002222-2-2-2-222-2-222-2-2-2-2220000000000000000000000002222-2-2-2-222-2-222-2-2-2-222000000000000000000000000
χ202222-2-2-2-222-2-2-2-22222-2-20000000000000000000000002222-2-2-2-222-2-2-2-22222-2-20000000000000000000000002222-2-2-2-222-2-2-2-22222-2-2000000000000000000000000
χ2122-2-222-2-22-22-2000000000000000022-2-222-2-20000000022-2-222-2-22-22-2000000000000000022-2-222-2-20000000022-2-222-2-22-22-2000000000000000022-2-222-2-200000000
χ2222-2-222-2-22-22-20000000000000000-2-222-2-2220000000022-2-222-2-22-22-20000000000000000-2-222-2-2220000000022-2-222-2-22-22-20000000000000000-2-222-2-22200000000
χ2322-2-222-2-2-22-220000000022-2-222-2-2000000000000000022-2-222-2-2-22-220000000022-2-222-2-2000000000000000022-2-222-2-2-22-220000000022-2-222-2-20000000000000000
χ2422-2-222-2-2-22-2200000000-2-222-2-222000000000000000022-2-222-2-2-22-2200000000-2-222-2-222000000000000000022-2-222-2-2-22-2200000000-2-222-2-2220000000000000000
χ2522-2-2-2-2222-2-22000000002i2i−2i−2i−2i−2i2i2i000000000000000022-2-2-2-2222-2-22000000002i2i−2i−2i−2i−2i2i2i000000000000000022-2-2-2-2222-2-22000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ2622-2-2-2-2222-2-2200000000−2i−2i2i2i2i2i−2i−2i000000000000000022-2-2-2-2222-2-2200000000−2i−2i2i2i2i2i−2i−2i000000000000000022-2-2-2-2222-2-2200000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ2722-2-2-2-222-222-200000000000000002i2i−2i−2i−2i−2i2i2i0000000022-2-2-2-222-222-200000000000000002i2i−2i−2i−2i−2i2i2i0000000022-2-2-2-222-222-200000000000000002i2i−2i−2i−2i−2i2i2i00000000
χ2822-2-2-2-222-222-20000000000000000−2i−2i2i2i2i2i−2i−2i0000000022-2-2-2-222-222-20000000000000000−2i−2i2i2i2i2i−2i−2i0000000022-2-2-2-222-222-20000000000000000−2i−2i2i2i2i2i−2i−2i00000000
χ292-22-22i−2i2i−2i0000002i−2i002-21+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i000000002-22-22i−2i2i−2i0000002i−2i002-21+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i000000002-22-22i−2i2i−2i0000002i−2i002-21+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000
χ302-22-22i−2i2i−2i0000002i−2i002-2−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000002-22-22i−2i2i−2i0000002i−2i002-2−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000002-22-22i−2i2i−2i0000002i−2i002-2−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000
χ312-22-22i−2i2i−2i000000−2i2i00-221+i−1−i1+i−1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000002-22-22i−2i2i−2i000000−2i2i00-221+i−1−i1+i−1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000002-22-22i−2i2i−2i000000−2i2i00-221+i−1−i1+i−1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000
χ322-22-22i−2i2i−2i000000−2i2i00-22−1−i1+i−1−i1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i000000002-22-22i−2i2i−2i000000−2i2i00-22−1−i1+i−1−i1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i000000002-22-22i−2i2i−2i000000−2i2i00-22−1−i1+i−1−i1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000
χ332-22-2−2i2i−2i2i0000002i−2i00-221−i−1+i1−i−1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000002-22-2−2i2i−2i2i0000002i−2i00-221−i−1+i1−i−1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000002-22-2−2i2i−2i2i0000002i−2i00-221−i−1+i1−i−1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000
χ342-22-2−2i2i−2i2i0000002i−2i00-22−1+i1−i−1+i1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i000000002-22-2−2i2i−2i2i0000002i−2i00-22−1+i1−i−1+i1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i000000002-22-2−2i2i−2i2i0000002i−2i00-22−1+i1−i−1+i1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000
χ352-22-2−2i2i−2i2i000000−2i2i002-21−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i000000002-22-2−2i2i−2i2i000000−2i2i002-21−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i000000002-22-2−2i2i−2i2i000000−2i2i002-21−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000
χ362-22-2−2i2i−2i2i000000−2i2i002-2−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000002-22-2−2i2i−2i2i000000−2i2i002-2−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000002-22-2−2i2i−2i2i000000−2i2i002-2−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000
χ372-2-222i−2i−2i2i00002i−2i002-2001+i−1−i−1−i1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i000000002-2-222i−2i−2i2i00002i−2i002-2001+i−1−i−1−i1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i000000002-2-222i−2i−2i2i00002i−2i002-2001+i−1−i−1−i1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i00000000
χ382-2-222i−2i−2i2i00002i−2i002-200−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i000000002-2-222i−2i−2i2i00002i−2i002-200−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i000000002-2-222i−2i−2i2i00002i−2i002-200−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i00000000
χ392-2-222i−2i−2i2i0000−2i2i00-22001+i−1−i−1−i1+i1−i−1+i−1+i1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i000000002-2-222i−2i−2i2i0000−2i2i00-22001+i−1−i−1−i1+i1−i−1+i−1+i1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i000000002-2-222i−2i−2i2i0000−2i2i00-22001+i−1−i−1−i1+i1−i−1+i−1+i1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i00000000
χ402-2-222i−2i−2i2i0000−2i2i00-2200−1−i1+i1+i−1−i−1+i1−i1−i−1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i000000002-2-222i−2i−2i2i0000−2i2i00-2200−1−i1+i1+i−1−i−1+i1−i1−i−1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i000000002-2-222i−2i−2i2i0000−2i2i00-2200−1−i1+i1+i−1−i−1+i1−i1−i−1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i00000000
χ412-2-22−2i2i2i−2i00002i−2i00-22001−i−1+i−1+i1−i1+i−1−i−1−i1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i000000002-2-22−2i2i2i−2i00002i−2i00-22001−i−1+i−1+i1−i1+i−1−i−1−i1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i000000002-2-22−2i2i2i−2i00002i−2i00-22001−i−1+i−1+i1−i1+i−1−i−1−i1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i00000000
χ422-2-22−2i2i2i−2i00002i−2i00-2200−1+i1−i1−i−1+i−1−i1+i1+i−1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i000000002-2-22−2i2i2i−2i00002i−2i00-2200−1+i1−i1−i−1+i−1−i1+i1+i−1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i000000002-2-22−2i2i2i−2i00002i−2i00-2200−1+i1−i1−i−1+i−1−i1+i1+i−1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i00000000
χ432-2-22−2i2i2i−2i0000−2i2i002-2001−i−1+i−1+i1−i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i000000002-2-22−2i2i2i−2i0000−2i2i002-2001−i−1+i−1+i1−i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i000000002-2-22−2i2i2i−2i0000−2i2i002-2001−i−1+i−1+i1−i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i00000000
χ442-2-22−2i2i2i−2i0000−2i2i002-200−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i000000002-2-22−2i2i2i−2i0000−2i2i002-200−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i000000002-2-22−2i2i2i−2i0000−2i2i002-200−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i00000000
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
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χ9211111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−1−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−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+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+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ93111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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−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+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+i321−i321−i32−1+i32−1+i321−i321−i32
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χ971111-1-1-1-1-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-1i−ii−i−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+i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1+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−i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7
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χ1001111-1-1-1-1-1-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11i−ii−i−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+i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ111+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11−1+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−i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ71−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7
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χ1021111-1-1-1-1-1-111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-111-1−iii−i−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ111+i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ11−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ71−i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ7
χ1031111-1-1-1-1-1-111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1-1-11−iii−i−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7
χ1041111-1-1-1-1-1-111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-111-1i−i−ii−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ111+i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ11−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ71−i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ7
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χ11522-2-2-2-222-222-200000000000000002i2i−2i−2i−2i−2i2i2i00000000−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i300000000000000002ζ112ζ11−2ζ11−2ζ11−2ζ11−2ζ112ζ112ζ1100000000−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i300000000000000002ζ72ζ7−2ζ7−2ζ7−2ζ7−2ζ72ζ72ζ700000000
χ11622-2-2-2-222-222-20000000000000000−2i−2i2i2i2i2i−2i−2i00000000−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i30000000000000000−2ζ11−2ζ112ζ112ζ112ζ112ζ11−2ζ11−2ζ1100000000−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i30000000000000000−2ζ7−2ζ72ζ72ζ72ζ72ζ7−2ζ7−2ζ700000000
χ1172-22-22i−2i2i−2i0000002i−2i002-21+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000−1−i31+i3−1−i31+i32ζ11−2ζ112ζ11−2ζ110000002ζ11−2ζ1100−1−i31+i3−ζ2+ζ11ζ2−ζ11−ζ2+ζ11ζ2−ζ11−ζ2−ζ11ζ2+ζ11−ζ2−ζ11ζ2+ζ11−ζ2−ζ11ζ2+ζ11−ζ2−ζ11ζ2+ζ11−ζ2+ζ11ζ2−ζ11−ζ2+ζ11ζ2−ζ1100000000−1+i31−i3−1+i31−i32ζ7−2ζ72ζ7−2ζ70000002ζ7−2ζ700−1+i31−i3ζ7−ζ10−ζ7+ζ10ζ7−ζ10−ζ7+ζ10−ζ7−ζ10ζ7+ζ10−ζ7−ζ10ζ7+ζ10−ζ7−ζ10ζ7+ζ10−ζ7−ζ10ζ7+ζ10ζ7−ζ10−ζ7+ζ10ζ7−ζ10−ζ7+ζ1000000000
χ1182-22-22i−2i2i−2i0000002i−2i002-2−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000−1−i31+i3−1−i31+i32ζ11−2ζ112ζ11−2ζ110000002ζ11−2ζ1100−1−i31+i3ζ2−ζ11−ζ2+ζ11ζ2−ζ11−ζ2+ζ11ζ2+ζ11−ζ2−ζ11ζ2+ζ11−ζ2−ζ11ζ2+ζ11−ζ2−ζ11ζ2+ζ11−ζ2−ζ11ζ2−ζ11−ζ2+ζ11ζ2−ζ11−ζ2+ζ1100000000−1+i31−i3−1+i31−i32ζ7−2ζ72ζ7−2ζ70000002ζ7−2ζ700−1+i31−i3−ζ7+ζ10ζ7−ζ10−ζ7+ζ10ζ7−ζ10ζ7+ζ10−ζ7−ζ10ζ7+ζ10−ζ7−ζ10ζ7+ζ10−ζ7−ζ10ζ7+ζ10−ζ7−ζ10−ζ7+ζ10ζ7−ζ10−ζ7+ζ10ζ7−ζ1000000000
χ1192-22-22i−2i2i−2i000000−2i2i00-221+i−1−i1+i−1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000−1−i31+i3−1−i31+i32ζ11−2ζ112ζ11−2ζ11000000−2ζ112ζ11001+i3−1−i3−ζ2+ζ11ζ2−ζ11−ζ2+ζ11ζ2−ζ11−ζ2−ζ11ζ2+ζ11−ζ2−ζ11ζ2+ζ11ζ2+ζ11−ζ2−ζ11ζ2+ζ11−ζ2−ζ11ζ2−ζ11−ζ2+ζ11ζ2−ζ11−ζ2+ζ1100000000−1+i31−i3−1+i31−i32ζ7−2ζ72ζ7−2ζ7000000−2ζ72ζ7001−i3−1+i3ζ7−ζ10−ζ7+ζ10ζ7−ζ10−ζ7+ζ10−ζ7−ζ10ζ7+ζ10−ζ7−ζ10ζ7+ζ10ζ7+ζ10−ζ7−ζ10ζ7+ζ10−ζ7−ζ10−ζ7+ζ10ζ7−ζ10−ζ7+ζ10ζ7−ζ1000000000
χ1202-22-22i−2i2i−2i000000−2i2i00-22−1−i1+i−1−i1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000−1−i31+i3−1−i31+i32ζ11−2ζ112ζ11−2ζ11000000−2ζ112ζ11001+i3−1−i3ζ2−ζ11−ζ2+ζ11ζ2−ζ11−ζ2+ζ11ζ2+ζ11−ζ2−ζ11ζ2+ζ11−ζ2−ζ11−ζ2−ζ11ζ2+ζ11−ζ2−ζ11ζ2+ζ11−ζ2+ζ11ζ2−ζ11−ζ2+ζ11ζ2−ζ1100000000−1+i31−i3−1+i31−i32ζ7−2ζ72ζ7−2ζ7000000−2ζ72ζ7001−i3−1+i3−ζ7+ζ10ζ7−ζ10−ζ7+ζ10ζ7−ζ10ζ7+ζ10−ζ7−ζ10ζ7+ζ10−ζ7−ζ10−ζ7−ζ10ζ7+ζ10−ζ7−ζ10ζ7+ζ10ζ7−ζ10−ζ7+ζ10ζ7−ζ10−ζ7+ζ1000000000
χ1212-22-2−2i2i−2i2i0000002i−2i00-221−i−1+i1−i−1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000−1−i31+i3−1−i31+i3−2ζ112ζ11−2ζ112ζ110000002ζ11−2ζ11001+i3−1−i3−ζ2−ζ11ζ2+ζ11−ζ2−ζ11ζ2+ζ11−ζ2+ζ11ζ2−ζ11−ζ2+ζ11ζ2−ζ11ζ2−ζ11−ζ2+ζ11ζ2−ζ11−ζ2+ζ11ζ2+ζ11−ζ2−ζ11ζ2+ζ11−ζ2−ζ1100000000−1+i31−i3−1+i31−i3−2ζ72ζ7−2ζ72ζ70000002ζ7−2ζ7001−i3−1+i3−ζ7−ζ10ζ7+ζ10−ζ7−ζ10ζ7+ζ10ζ7−ζ10−ζ7+ζ10ζ7−ζ10−ζ7+ζ10−ζ7+ζ10ζ7−ζ10−ζ7+ζ10ζ7−ζ10ζ7+ζ10−ζ7−ζ10ζ7+ζ10−ζ7−ζ1000000000
χ1222-22-2−2i2i−2i2i0000002i−2i00-22−1+i1−i−1+i1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000−1−i31+i3−1−i31+i3−2ζ112ζ11−2ζ112ζ110000002ζ11−2ζ11001+i3−1−i3ζ2+ζ11−ζ2−ζ11ζ2+ζ11−ζ2−ζ11ζ2−ζ11−ζ2+ζ11ζ2−ζ11−ζ2+ζ11−ζ2+ζ11ζ2−ζ11−ζ2+ζ11ζ2−ζ11−ζ2−ζ11ζ2+ζ11−ζ2−ζ11ζ2+ζ1100000000−1+i31−i3−1+i31−i3−2ζ72ζ7−2ζ72ζ70000002ζ7−2ζ7001−i3−1+i3ζ7+ζ10−ζ7−ζ10ζ7+ζ10−ζ7−ζ10−ζ7+ζ10ζ7−ζ10−ζ7+ζ10ζ7−ζ10ζ7−ζ10−ζ7+ζ10ζ7−ζ10−ζ7+ζ10−ζ7−ζ10ζ7+ζ10−ζ7−ζ10ζ7+ζ1000000000
χ1232-22-2−2i2i−2i2i000000−2i2i002-21−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000−1−i31+i3−1−i31+i3−2ζ112ζ11−2ζ112ζ11000000−2ζ112ζ1100−1−i31+i3−ζ2−ζ11ζ2+ζ11−ζ2−ζ11ζ2+ζ11−ζ2+ζ11ζ2−ζ11−ζ2+ζ11ζ2−ζ11−ζ2+ζ11ζ2−ζ11−ζ2+ζ11ζ2−ζ11−ζ2−ζ11ζ2+ζ11−ζ2−ζ11ζ2+ζ1100000000−1+i31−i3−1+i31−i3−2ζ72ζ7−2ζ72ζ7000000−2ζ72ζ700−1+i31−i3−ζ7−ζ10ζ7+ζ10−ζ7−ζ10ζ7+ζ10ζ7−ζ10−ζ7+ζ10ζ7−ζ10−ζ7+ζ10ζ7−ζ10−ζ7+ζ10ζ7−ζ10−ζ7+ζ10−ζ7−ζ10ζ7+ζ10−ζ7−ζ10ζ7+ζ1000000000
χ1242-22-2−2i2i−2i2i000000−2i2i002-2−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000−1−i31+i3−1−i31+i3−2ζ112ζ11−2ζ112ζ11000000−2ζ112ζ1100−1−i31+i3ζ2+ζ11−ζ2−ζ11ζ2+ζ11−ζ2−ζ11ζ2−ζ11−ζ2+ζ11ζ2−ζ11−ζ2+ζ11ζ2−ζ11−ζ2+ζ11ζ2−ζ11−ζ2+ζ11ζ2+ζ11−ζ2−ζ11ζ2+ζ11−ζ2−ζ1100000000−1+i31−i3−1+i31−i3−2ζ72ζ7−2ζ72ζ7000000−2ζ72ζ700−1+i31−i3ζ7+ζ10−ζ7−ζ10ζ7+ζ10−ζ7−ζ10−ζ7+ζ10ζ7−ζ10−ζ7+ζ10ζ7−ζ10−ζ7+ζ10ζ7−ζ10−ζ7+ζ10ζ7−ζ10ζ7+ζ10−ζ7−ζ10ζ7+ζ10−ζ7−ζ1000000000
χ1252-2-222i−2i−2i2i00002i−2i002-2001+i−1−i−1−i1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i00000000−1−i31+i31+i3−1−i32ζ11−2ζ11−2ζ112ζ1100002ζ11−2ζ1100−1−i31+i300−ζ2+ζ11ζ2−ζ11ζ2−ζ11−ζ2+ζ11−ζ2−ζ11ζ2+ζ11ζ2+ζ11−ζ2−ζ11−ζ2−ζ11ζ2+ζ11ζ2+ζ11−ζ2−ζ11−ζ2+ζ11ζ2−ζ11ζ2−ζ11−ζ2+ζ1100000000−1+i31−i31−i3−1+i32ζ7−2ζ7−2ζ72ζ700002ζ7−2ζ700−1+i31−i300ζ7−ζ10−ζ7+ζ10−ζ7+ζ10ζ7−ζ10−ζ7−ζ10ζ7+ζ10ζ7+ζ10−ζ7−ζ10−ζ7−ζ10ζ7+ζ10ζ7+ζ10−ζ7−ζ10ζ7−ζ10−ζ7+ζ10−ζ7+ζ10ζ7−ζ1000000000
χ1262-2-222i−2i−2i2i00002i−2i002-200−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i00000000−1−i31+i31+i3−1−i32ζ11−2ζ11−2ζ112ζ1100002ζ11−2ζ1100−1−i31+i300ζ2−ζ11−ζ2+ζ11−ζ2+ζ11ζ2−ζ11ζ2+ζ11−ζ2−ζ11−ζ2−ζ11ζ2+ζ11ζ2+ζ11−ζ2−ζ11−ζ2−ζ11ζ2+ζ11ζ2−ζ11−ζ2+ζ11−ζ2+ζ11ζ2−ζ1100000000−1+i31−i31−i3−1+i32ζ7−2ζ7−2ζ72ζ700002ζ7−2ζ700−1+i31−i300−ζ7+ζ10ζ7−ζ10ζ7−ζ10−ζ7+ζ10ζ7+ζ10−ζ7−ζ10−ζ7−ζ10ζ7+ζ10ζ7+ζ10−ζ7−ζ10−ζ7−ζ10ζ7+ζ10−ζ7+ζ10ζ7−ζ10ζ7−ζ10−ζ7+ζ1000000000
χ1272-2-222i−2i−2i2i0000−2i2i00-22001+i−1−i−1−i1+i1−i−1+i−1+i1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i00000000−1−i31+i31+i3−1−i32ζ11−2ζ11−2ζ112ζ110000−2ζ112ζ11001+i3−1−i300−ζ2+ζ11ζ2−ζ11ζ2−ζ11−ζ2+ζ11−ζ2−ζ11ζ2+ζ11ζ2+ζ11−ζ2−ζ11ζ2+ζ11−ζ2−ζ11−ζ2−ζ11ζ2+ζ11ζ2−ζ11−ζ2+ζ11−ζ2+ζ11ζ2−ζ1100000000−1+i31−i31−i3−1+i32ζ7−2ζ7−2ζ72ζ70000−2ζ72ζ7001−i3−1+i300ζ7−ζ10−ζ7+ζ10−ζ7+ζ10ζ7−ζ10−ζ7−ζ10ζ7+ζ10ζ7+ζ10−ζ7−ζ10ζ7+ζ10−ζ7−ζ10−ζ7−ζ10ζ7+ζ10−ζ7+ζ10ζ7−ζ10ζ7−ζ10−ζ7+ζ1000000000
χ1282-2-222i−2i−2i2i0000−2i2i00-2200−1−i1+i1+i−1−i−1+i1−i1−i−1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i00000000−1−i31+i31+i3−1−i32ζ11−2ζ11−2ζ112ζ110000−2ζ112ζ11001+i3−1−i300ζ2−ζ11−ζ2+ζ11−ζ2+ζ11ζ2−ζ11ζ2+ζ11−ζ2−ζ11−ζ2−ζ11ζ2+ζ11−ζ2−ζ11ζ2+ζ11ζ2+ζ11−ζ2−ζ11−ζ2+ζ11ζ2−ζ11ζ2−ζ11−ζ2+ζ1100000000−1+i31−i31−i3−1+i32ζ7−2ζ7−2ζ72ζ70000−2ζ72ζ7001−i3−1+i300−ζ7+ζ10ζ7−ζ10ζ7−ζ10−ζ7+ζ10ζ7+ζ10−ζ7−ζ10−ζ7−ζ10ζ7+ζ10−ζ7−ζ10ζ7+ζ10ζ7+ζ10−ζ7−ζ10ζ7−ζ10−ζ7+ζ10−ζ7+ζ10ζ7−ζ1000000000
χ1292-2-22−2i2i2i−2i00002i−2i00-22001−i−1+i−1+i1−i1+i−1−i−1−i1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i00000000−1−i31+i31+i3−1−i3−2ζ112ζ112ζ11−2ζ1100002ζ11−2ζ11001+i3−1−i300−ζ2−ζ11ζ2+ζ11ζ2+ζ11−ζ2−ζ11−ζ2+ζ11ζ2−ζ11ζ2−ζ11−ζ2+ζ11ζ2−ζ11−ζ2+ζ11−ζ2+ζ11ζ2−ζ11ζ2+ζ11−ζ2−ζ11−ζ2−ζ11ζ2+ζ1100000000−1+i31−i31−i3−1+i3−2ζ72ζ72ζ7−2ζ700002ζ7−2ζ7001−i3−1+i300−ζ7−ζ10ζ7+ζ10ζ7+ζ10−ζ7−ζ10ζ7−ζ10−ζ7+ζ10−ζ7+ζ10ζ7−ζ10−ζ7+ζ10ζ7−ζ10ζ7−ζ10−ζ7+ζ10ζ7+ζ10−ζ7−ζ10−ζ7−ζ10ζ7+ζ1000000000
χ1302-2-22−2i2i2i−2i00002i−2i00-2200−1+i1−i1−i−1+i−1−i1+i1+i−1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i00000000−1−i31+i31+i3−1−i3−2ζ112ζ112ζ11−2ζ1100002ζ11−2ζ11001+i3−1−i300ζ2+ζ11−ζ2−ζ11−ζ2−ζ11ζ2+ζ11ζ2−ζ11−ζ2+ζ11−ζ2+ζ11ζ2−ζ11−ζ2+ζ11ζ2−ζ11ζ2−ζ11−ζ2+ζ11−ζ2−ζ11ζ2+ζ11ζ2+ζ11−ζ2−ζ1100000000−1+i31−i31−i3−1+i3−2ζ72ζ72ζ7−2ζ700002ζ7−2ζ7001−i3−1+i300ζ7+ζ10−ζ7−ζ10−ζ7−ζ10ζ7+ζ10−ζ7+ζ10ζ7−ζ10ζ7−ζ10−ζ7+ζ10ζ7−ζ10−ζ7+ζ10−ζ7+ζ10ζ7−ζ10−ζ7−ζ10ζ7+ζ10ζ7+ζ10−ζ7−ζ1000000000
χ1312-2-22−2i2i2i−2i0000−2i2i002-2001−i−1+i−1+i1−i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i00000000−1−i31+i31+i3−1−i3−2ζ112ζ112ζ11−2ζ110000−2ζ112ζ1100−1−i31+i300−ζ2−ζ11ζ2+ζ11ζ2+ζ11−ζ2−ζ11−ζ2+ζ11ζ2−ζ11ζ2−ζ11−ζ2+ζ11−ζ2+ζ11ζ2−ζ11ζ2−ζ11−ζ2+ζ11−ζ2−ζ11ζ2+ζ11ζ2+ζ11−ζ2−ζ1100000000−1+i31−i31−i3−1+i3−2ζ72ζ72ζ7−2ζ70000−2ζ72ζ700−1+i31−i300−ζ7−ζ10ζ7+ζ10ζ7+ζ10−ζ7−ζ10ζ7−ζ10−ζ7+ζ10−ζ7+ζ10ζ7−ζ10ζ7−ζ10−ζ7+ζ10−ζ7+ζ10ζ7−ζ10−ζ7−ζ10ζ7+ζ10ζ7+ζ10−ζ7−ζ1000000000
χ1322-2-22−2i2i2i−2i0000−2i2i002-200−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i00000000−1−i31+i31+i3−1−i3−2ζ112ζ112ζ11−2ζ110000−2ζ112ζ1100−1−i31+i300ζ2+ζ11−ζ2−ζ11−ζ2−ζ11ζ2+ζ11ζ2−ζ11−ζ2+ζ11−ζ2+ζ11ζ2−ζ11ζ2−ζ11−ζ2+ζ11−ζ2+ζ11ζ2−ζ11ζ2+ζ11−ζ2−ζ11−ζ2−ζ11ζ2+ζ1100000000−1+i31−i31−i3−1+i3−2ζ72ζ72ζ7−2ζ70000−2ζ72ζ700−1+i31−i300ζ7+ζ10−ζ7−ζ10−ζ7−ζ10ζ7+ζ10−ζ7+ζ10ζ7−ζ10ζ7−ζ10−ζ7+ζ10−ζ7+ζ10ζ7−ζ10ζ7−ζ10−ζ7+ζ10ζ7+ζ10−ζ7−ζ10−ζ7−ζ10ζ7+ζ1000000000

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