Finite Group Databasebeta

← Group #481461

Character table — Group #481461

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111122222222222222224444444444444444444444888888881616161611111111222222222222222244444444444444444444448888888816161616
order1222444422224444888888882488881616161616161616161616161616161644444444244422224444222244448888888824888816161616161616161616161616161616444444442444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i1-1-111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i1-1-11
χ61111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii-111-11111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii-111-1
χ71111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i-111-11111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i-111-1
χ81111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii1-1-111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii1-1-11
χ91111-1-1-1-1-1-1111-1-11-1-1-1-11111-1111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-1111-1-11-1-1-1-11111-1111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ101111-1-1-1-1-1-1111-1-11-1-1-1-11111-1111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1111-1-11-1-1-1-11111-1111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111
χ111111-1-1-1-1-1-1111-1-11-1-1-1-11111-1111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1111-1-11-1-1-1-11111-1111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111
χ121111-1-1-1-1-1-1111-1-11-1-1-1-11111-1111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-11111-1-1-1-1-1-1111-1-11-1-1-1-11111-1111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1
χ131111-1-1-1-1-1-1-1-111111111-1-1-1-11-111-1-1iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii1-11-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-111-1-1iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii1-11-1
χ141111-1-1-1-1-1-1-1-111111111-1-1-1-11-111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i-11-111111-1-1-1-1-1-1-1-111111111-1-1-1-11-111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i-11-11
χ151111-1-1-1-1-1-1-1-111111111-1-1-1-11-111-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii-11-111111-1-1-1-1-1-1-1-111111111-1-1-1-11-111-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii-11-11
χ161111-1-1-1-1-1-1-1-111111111-1-1-1-11-111-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i1-11-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-111-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i1-11-1
χ172222222222222222-2-2-2-2-2-2-2-222-2-2-2-200000000000000000000000000002222222222222222-2-2-2-2-2-2-2-222-2-2-2-20000000000000000000000000000
χ182222222222-2-22-2-2222222222-2-2-2-2-2-200000000000000000000000000002222222222-2-22-2-2222222222-2-2-2-2-2-20000000000000000000000000000
χ1922222222-2-222-222-200000000-2-2000022−2−222−2−222−2−222−2−200000000000022222222-2-222-222-200000000-2-2000022−2−222−2−222−2−222−2−2000000000000
χ2022222222-2-222-222-200000000-2-20000−2−222−2−222−2−222−2−22200000000000022222222-2-222-222-200000000-2-20000−2−222−2−222−2−222−2−222000000000000
χ2122222222-2-2-2-2-2-2-2-200000000220000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000000022222222-2-2-2-2-2-2-2-200000000220000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000
χ2222222222-2-2-2-2-2-2-2-200000000220000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000000022222222-2-2-2-2-2-2-2-200000000220000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000
χ232222-2-2-2-22222-2-2-2-2000000002-2000022−2−2−2−22222−2−2−2−2220000000000002222-2-2-2-22222-2-2-2-2000000002-2000022−2−2−2−22222−2−2−2−222000000000000
χ242222-2-2-2-22222-2-2-2-2000000002-20000−2−22222−2−2−2−22222−2−20000000000002222-2-2-2-22222-2-2-2-2000000002-20000−2−22222−2−2−2−22222−2−2000000000000
χ252222-2-2-2-222-2-2-222-200000000-220000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i20000000000002222-2-2-2-222-2-2-222-200000000-220000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000000
χ262222-2-2-2-222-2-2-222-200000000-220000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i20000000000002222-2-2-2-222-2-2-222-200000000-220000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000000000
χ272222-2-2-2-2-2-2222-2-222222-2-2-2-2-22-2-22200000000000000000000000000002222-2-2-2-2-2-2222-2-222222-2-2-2-2-22-2-2220000000000000000000000000000
χ282222-2-2-2-2-2-2-2-22222-2-2-2-222222-2-2-22200000000000000000000000000002222-2-2-2-2-2-2-2-22222-2-2-2-222222-2-2-2220000000000000000000000000000
χ2922-2-22i2i−2i−2i002-202i−2i0i2i2−i2−i222−2−2002−2i2−i2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ700000000000022-2-22i2i−2i−2i002-202i−2i0i2i2−i2−i222−2−2002−2i2−i2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7000000000000
χ3022-2-22i2i−2i−2i002-202i−2i0i2i2−i2−i222−2−2002−2i2−i2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ700000000000022-2-22i2i−2i−2i002-202i−2i0i2i2−i2−i222−2−2002−2i2−i2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7000000000000
χ3122-2-22i2i−2i−2i002-202i−2i0−i2−i2i2i2−2−22200−22−i2i2ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ500000000000022-2-22i2i−2i−2i002-202i−2i0−i2−i2i2i2−2−22200−22−i2i2ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5000000000000
χ3222-2-22i2i−2i−2i002-202i−2i0−i2−i2i2i2−2−22200−22−i2i2−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ500000000000022-2-22i2i−2i−2i002-202i−2i0−i2−i2i2i2−2−22200−22−i2i2−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5000000000000
χ3322-2-22i2i−2i−2i00-220−2i2i0i2i2−i2−i222−2−200−22−i2i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ700000000000022-2-22i2i−2i−2i00-220−2i2i0i2i2−i2−i222−2−200−22−i2i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7000000000000
χ3422-2-22i2i−2i−2i00-220−2i2i0i2i2−i2−i222−2−200−22−i2i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ700000000000022-2-22i2i−2i−2i00-220−2i2i0i2i2−i2−i222−2−200−22−i2i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7000000000000
χ3522-2-22i2i−2i−2i00-220−2i2i0−i2−i2i2i2−2−222002−2i2−i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ500000000000022-2-22i2i−2i−2i00-220−2i2i0−i2−i2i2i2−2−222002−2i2−i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5000000000000
χ3622-2-22i2i−2i−2i00-220−2i2i0−i2−i2i2i2−2−222002−2i2−i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ500000000000022-2-22i2i−2i−2i00-220−2i2i0−i2−i2i2i2−2−222002−2i2−i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5000000000000
χ3722-2-2−2i−2i2i2i002-20−2i2i0i2i2−i2−i2−2−22200−22i2−i2ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ500000000000022-2-2−2i−2i2i2i002-20−2i2i0i2i2−i2−i2−2−22200−22i2−i2ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5000000000000
χ3822-2-2−2i−2i2i2i002-20−2i2i0i2i2−i2−i2−2−22200−22i2−i2−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ500000000000022-2-2−2i−2i2i2i002-20−2i2i0i2i2−i2−i2−2−22200−22i2−i2−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5000000000000
χ3922-2-2−2i−2i2i2i002-20−2i2i0−i2−i2i2i222−2−2002−2−i2i2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ700000000000022-2-2−2i−2i2i2i002-20−2i2i0−i2−i2i2i222−2−2002−2−i2i2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7000000000000
χ4022-2-2−2i−2i2i2i002-20−2i2i0−i2−i2i2i222−2−2002−2−i2i2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ700000000000022-2-2−2i−2i2i2i002-20−2i2i0−i2−i2i2i222−2−2002−2−i2i2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7000000000000
χ4122-2-2−2i−2i2i2i00-2202i−2i0i2i2−i2−i2−2−222002−2−i2i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ500000000000022-2-2−2i−2i2i2i00-2202i−2i0i2i2−i2−i2−2−222002−2−i2i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5000000000000
χ4222-2-2−2i−2i2i2i00-2202i−2i0i2i2−i2−i2−2−222002−2−i2i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ500000000000022-2-2−2i−2i2i2i00-2202i−2i0i2i2−i2−i2−2−222002−2−i2i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5000000000000
χ4322-2-2−2i−2i2i2i00-2202i−2i0−i2−i2i2i222−2−200−22i2−i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ700000000000022-2-2−2i−2i2i2i00-2202i−2i0−i2−i2i2i222−2−200−22i2−i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7000000000000
χ4422-2-2−2i−2i2i2i00-2202i−2i0−i2−i2i2i222−2−200−22i2−i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ700000000000022-2-2−2i−2i2i2i00-2202i−2i0−i2−i2i2i222−2−200−22i2−i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7000000000000
χ452-2-222-22-22-200200-22i−2i2i−2i2i−2i2i−2i00000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00002-2-222-22-22-200200-22i−2i2i−2i2i−2i2i−2i00000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000
χ462-2-222-22-22-200200-22i−2i2i−2i2i−2i2i−2i0000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00002-2-222-22-22-200200-22i−2i2i−2i2i−2i2i−2i0000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000
χ472-2-222-22-22-200200-2−2i2i−2i2i−2i2i−2i2i00000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00002-2-222-22-22-200200-2−2i2i−2i2i−2i2i−2i2i00000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000
χ482-2-222-22-22-200200-2−2i2i−2i2i−2i2i−2i2i0000000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00002-2-222-22-22-200200-2−2i2i−2i2i−2i2i−2i2i0000000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000
χ492-2-22-22-22-2200200-22i−2i2i−2i−2i2i−2i2i00000000000000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i00002-2-22-22-22-2200200-22i−2i2i−2i−2i2i−2i2i00000000000000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i0000
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χ10222-2-2−2i−2i2i2i00-2202i−2i0−i2−i2i2i222−2−200−22i2−i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7000000000000-2-2222i2i−2i−2i002-20−2i2i0i2i2−i2−i2−2−222002−2−i2i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7000000000000
χ1032-2-222-22-22-200200-22i−2i2i−2i2i−2i2i−2i00000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000-222-2-22-22-2200-2002−2i2i−2i2i−2i2i−2i2i0000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000
χ1042-2-222-22-22-200200-22i−2i2i−2i2i−2i2i−2i0000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000-222-2-22-22-2200-2002−2i2i−2i2i−2i2i−2i2i00000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000
χ1052-2-222-22-22-200200-2−2i2i−2i2i−2i2i−2i2i00000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000-222-2-22-22-2200-20022i−2i2i−2i2i−2i2i−2i0000000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000
χ1062-2-222-22-22-200200-2−2i2i−2i2i−2i2i−2i2i0000000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000-222-2-22-22-2200-20022i−2i2i−2i2i−2i2i−2i00000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000
χ1072-2-22-22-22-2200200-22i−2i2i−2i−2i2i−2i2i00000000000000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i0000-222-22-22-22-200-2002−2i2i−2i2i2i−2i2i−2i0000000000000000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000
χ1082-2-22-22-22-2200200-22i−2i2i−2i−2i2i−2i2i0000000000000000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000-222-22-22-22-200-2002−2i2i−2i2i2i−2i2i−2i00000000000000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i0000
χ1092-2-22-22-22-2200200-2−2i2i−2i2i2i−2i2i−2i00000000000000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i0000-222-22-22-22-200-20022i−2i2i−2i−2i2i−2i2i0000000000000000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000
χ1102-2-22-22-22-2200200-2−2i2i−2i2i2i−2i2i−2i0000000000000000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000-222-22-22-22-200-20022i−2i2i−2i−2i2i−2i2i00000000000000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i0000
χ1114-44-44i−4i−4i4i0000000022−22−2222−2i22i22i2−2i20000000000000000000000000000000000-44-44−4i4i4i−4i00000000−222222−222i2−2i2−2i22i20000000000000000000000000000000000
χ1124-44-44i−4i−4i4i00000000−222222−222i2−2i2−2i22i20000000000000000000000000000000000-44-44−4i4i4i−4i0000000022−22−2222−2i22i22i2−2i20000000000000000000000000000000000
χ1134-44-4−4i4i4i−4i0000000022−22−22222i2−2i2−2i22i20000000000000000000000000000000000-44-444i−4i−4i4i00000000−222222−22−2i22i22i2−2i20000000000000000000000000000000000
χ1144-44-4−4i4i4i−4i00000000−222222−22−2i22i22i2−2i20000000000000000000000000000000000-44-444i−4i−4i4i0000000022−22−22222i2−2i2−2i22i20000000000000000000000000000000000
χ1154-4-444-44-4-4400-4004000000000000000000000000000000000000000000-444-4-44-444-400400-4000000000000000000000000000000000000000000
χ1164-4-44-44-444-400-4004000000000000000000000000000000000000000000-444-44-44-4-4400400-4000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.