Finite Group Databasebeta

← Group #13170809

Character table — Group #13170809

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size11222244666666182244448812121212121236336666121218181818181854112222446666661822444488121212121212363366661212181818181818541122224466666618224444881212121212123633666612121818181818185411222244666666182244448812121212121236336666121218181818181854
order123366362266664363366366666661222666666226666444121212121212441212121241212121212121212121212121212124412121212121244121212124226666662266664666666666666661222666666226666444121212121212441212121241212121212121212121212121212124412121212121244121212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1
χ311111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-111111111-11-1-111-1
χ411111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-11
χ5222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10222-12-1-1-10200-1-10
χ6222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110222-12-1-1-10-200110
χ722-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-100022-12-12-1-120-1-1000
χ822-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-201100022-12-12-1-1-2011000
χ92-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-200000002-222-2-22-20000000
χ102-22-1-21-110000i3−i302-22-1-21-110000i3−i302-22-1-21-110000i3−i302-22-1-21-110000i3−i302-22-1-21-110000i3−i302-22-1-21-110000i3−i302-22-1-21-110000i3−i302-22-1-21-110000i3−i302-22-1-21-110000i3−i302-22-1-21-110000i3−i302-22-1-21-110000i3−i302-22-1-21-110000i3−i30
χ112-22-1-21-110000−i3i302-22-1-21-110000−i3i302-22-1-21-110000−i3i302-22-1-21-110000−i3i302-22-1-21-110000−i3i302-22-1-21-110000−i3i302-22-1-21-110000−i3i302-22-1-21-110000−i3i302-22-1-21-110000−i3i302-22-1-21-110000−i3i302-22-1-21-110000−i3i302-22-1-21-110000−i3i30
χ122-2-121-2-1100i3−i30002-2-121-2-1100i3−i30002-2-121-2-1100i3−i30002-2-121-2-1100i3−i30002-2-121-2-1100i3−i30002-2-121-2-1100i3−i30002-2-121-2-1100i3−i30002-2-121-2-1100i3−i30002-2-121-2-1100i3−i30002-2-121-2-1100i3−i30002-2-121-2-1100i3−i30002-2-121-2-1100i3−i3000
χ132-2-121-2-1100−i3i30002-2-121-2-1100−i3i30002-2-121-2-1100−i3i30002-2-121-2-1100−i3i30002-2-121-2-1100−i3i30002-2-121-2-1100−i3i30002-2-121-2-1100−i3i30002-2-121-2-1100−i3i30002-2-121-2-1100−i3i30002-2-121-2-1100−i3i30002-2-121-2-1100−i3i30002-2-121-2-1100−i3i3000
χ1444-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-211000000044-2-2-2-2110000000
χ154-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-10000000
χ16111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ17111111111-111-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111111-111-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111111-111-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111111-111-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111
χ1811111111-11-1-111-111111111-11-1-111-1-1-1-1-1-1-1-1-11-111-1-1111111111-11-1-111-111111111-11-1-111-1-1-1-1-1-1-1-1-11-111-1-1111111111-11-1-111-111111111-11-1-111-1-1-1-1-1-1-1-1-11-111-1-1111111111-11-1-111-111111111-11-1-111-1-1-1-1-1-1-1-1-11-111-1-11
χ1911111111-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-111111111-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-111111111-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-111111111-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1
χ20222-12-1-1-10200-1-10222-12-1-1-10200-1-10-2-2-21-21110-200110222-12-1-1-10200-1-10222-12-1-1-10200-1-10-2-2-21-21110-200110222-12-1-1-10200-1-10222-12-1-1-10200-1-10-2-2-21-21110-200110222-12-1-1-10200-1-10222-12-1-1-10200-1-10-2-2-21-21110-200110
χ21222-12-1-1-10-200110222-12-1-1-10-200110-2-2-21-21110200-1-10222-12-1-1-10-200110222-12-1-1-10-200110-2-2-21-21110200-1-10222-12-1-1-10-200110222-12-1-1-10-200110-2-2-21-21110200-1-10222-12-1-1-10-200110222-12-1-1-10-200110-2-2-21-21110200-1-10
χ2222-12-12-1-120-1-100022-12-12-1-120-1-1000-2-21-21-211-201100022-12-12-1-120-1-100022-12-12-1-120-1-1000-2-21-21-211-201100022-12-12-1-120-1-100022-12-12-1-120-1-1000-2-21-21-211-201100022-12-12-1-120-1-100022-12-12-1-120-1-1000-2-21-21-211-2011000
χ2322-12-12-1-1-201100022-12-12-1-1-2011000-2-21-21-21120-1-100022-12-12-1-1-201100022-12-12-1-1-2011000-2-21-21-21120-1-100022-12-12-1-1-201100022-12-12-1-1-2011000-2-21-21-21120-1-100022-12-12-1-1-201100022-12-12-1-1-2011000-2-21-21-21120-1-1000
χ242-222-2-22-200000002-222-2-22-20000000-22-2-222-2200000002-222-2-22-200000002-222-2-22-20000000-22-2-222-2200000002-222-2-22-200000002-222-2-22-20000000-22-2-222-2200000002-222-2-22-200000002-222-2-22-20000000-22-2-222-220000000
χ252-22-1-21-110000i3−i302-22-1-21-110000i3−i30-22-212-11-10000−i3i302-22-1-21-110000i3−i302-22-1-21-110000i3−i30-22-212-11-10000−i3i302-22-1-21-110000i3−i302-22-1-21-110000i3−i30-22-212-11-10000−i3i302-22-1-21-110000i3−i302-22-1-21-110000i3−i30-22-212-11-10000−i3i30
χ262-22-1-21-110000−i3i302-22-1-21-110000−i3i30-22-212-11-10000i3−i302-22-1-21-110000−i3i302-22-1-21-110000−i3i30-22-212-11-10000i3−i302-22-1-21-110000−i3i302-22-1-21-110000−i3i30-22-212-11-10000i3−i302-22-1-21-110000−i3i302-22-1-21-110000−i3i30-22-212-11-10000i3−i30
χ272-2-121-2-1100i3−i30002-2-121-2-1100i3−i3000-221-2-121-100−i3i30002-2-121-2-1100i3−i30002-2-121-2-1100i3−i3000-221-2-121-100−i3i30002-2-121-2-1100i3−i30002-2-121-2-1100i3−i3000-221-2-121-100−i3i30002-2-121-2-1100i3−i30002-2-121-2-1100i3−i3000-221-2-121-100−i3i3000
χ282-2-121-2-1100−i3i30002-2-121-2-1100−i3i3000-221-2-121-100i3−i30002-2-121-2-1100−i3i30002-2-121-2-1100−i3i3000-221-2-121-100i3−i30002-2-121-2-1100−i3i30002-2-121-2-1100−i3i3000-221-2-121-100i3−i30002-2-121-2-1100−i3i30002-2-121-2-1100−i3i3000-221-2-121-100i3−i3000
χ2944-2-2-2-211000000044-2-2-2-2110000000-4-42222-1-1000000044-2-2-2-211000000044-2-2-2-2110000000-4-42222-1-1000000044-2-2-2-211000000044-2-2-2-2110000000-4-42222-1-1000000044-2-2-2-211000000044-2-2-2-2110000000-4-42222-1-10000000
χ304-4-2-2221-100000004-4-2-2221-10000000-4422-2-2-1100000004-4-2-2221-100000004-4-2-2221-10000000-4422-2-2-1100000004-4-2-2221-100000004-4-2-2221-10000000-4422-2-2-1100000004-4-2-2221-100000004-4-2-2221-10000000-4422-2-2-110000000
χ31222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000
χ32222222222-222-2-2-2-1-1-1-1-1-1-1-1-11-1-1111000000000000000222222222-222-2-2-2-1-1-1-1-1-1-1-1-11-1-1111000000000000000222222222-222-2-2-2-1-1-1-1-1-1-1-1-11-1-1111000000000000000222222222-222-2-2-2-1-1-1-1-1-1-1-1-11-1-1111000000000000000
χ3322222222-22-2-222-2-1-1-1-1-1-1-1-11-111-1-1100000000000000022222222-22-2-222-2-1-1-1-1-1-1-1-11-111-1-1100000000000000022222222-22-2-222-2-1-1-1-1-1-1-1-11-111-1-1100000000000000022222222-22-2-222-2-1-1-1-1-1-1-1-11-111-1-11000000000000000
χ3422222222-2-2-2-2-2-22-1-1-1-1-1-1-1-1111111-100000000000000022222222-2-2-2-2-2-22-1-1-1-1-1-1-1-1111111-100000000000000022222222-2-2-2-2-2-22-1-1-1-1-1-1-1-1111111-100000000000000022222222-2-2-2-2-2-22-1-1-1-1-1-1-1-1111111-1000000000000000
χ35444-24-2-2-20400-2-20-2-2-21-21110-200110000000000000000444-24-2-2-20400-2-20-2-2-21-21110-200110000000000000000444-24-2-2-20400-2-20-2-2-21-21110-200110000000000000000444-24-2-2-20400-2-20-2-2-21-21110-200110000000000000000
χ36444-24-2-2-20-400220-2-2-21-21110200-1-10000000000000000444-24-2-2-20-400220-2-2-21-21110200-1-10000000000000000444-24-2-2-20-400220-2-2-21-21110200-1-10000000000000000444-24-2-2-20-400220-2-2-21-21110200-1-10000000000000000
χ3744-24-24-2-240-2-2000-2-21-21-211-201100000000000000000044-24-24-2-240-2-2000-2-21-21-211-201100000000000000000044-24-24-2-240-2-2000-2-21-21-211-201100000000000000000044-24-24-2-240-2-2000-2-21-21-211-2011000000000000000000
χ3844-24-24-2-2-4022000-2-21-21-21120-1-100000000000000000044-24-24-2-2-4022000-2-21-21-21120-1-100000000000000000044-24-24-2-2-4022000-2-21-21-21120-1-100000000000000000044-24-24-2-2-4022000-2-21-21-21120-1-1000000000000000000
χ394-444-4-44-40000000-22-2-222-2200000000000000000000004-444-4-44-40000000-22-2-222-2200000000000000000000004-444-4-44-40000000-22-2-222-2200000000000000000000004-444-4-44-40000000-22-2-222-220000000000000000000000
χ404-44-2-42-2200002i3−2i30-22-212-11-10000−i3i300000000000000004-44-2-42-2200002i3−2i30-22-212-11-10000−i3i300000000000000004-44-2-42-2200002i3−2i30-22-212-11-10000−i3i300000000000000004-44-2-42-2200002i3−2i30-22-212-11-10000−i3i30000000000000000
χ414-44-2-42-220000−2i32i30-22-212-11-10000i3−i300000000000000004-44-2-42-220000−2i32i30-22-212-11-10000i3−i300000000000000004-44-2-42-220000−2i32i30-22-212-11-10000i3−i300000000000000004-44-2-42-220000−2i32i30-22-212-11-10000i3−i30000000000000000
χ424-4-242-4-22002i3−2i3000-221-2-121-100−i3i30000000000000000004-4-242-4-22002i3−2i3000-221-2-121-100−i3i30000000000000000004-4-242-4-22002i3−2i3000-221-2-121-100−i3i30000000000000000004-4-242-4-22002i3−2i3000-221-2-121-100−i3i3000000000000000000
χ434-4-242-4-2200−2i32i3000-221-2-121-100i3−i30000000000000000004-4-242-4-2200−2i32i3000-221-2-121-100i3−i30000000000000000004-4-242-4-2200−2i32i3000-221-2-121-100i3−i30000000000000000004-4-242-4-2200−2i32i3000-221-2-121-100i3−i3000000000000000000
χ4488-4-4-4-4220000000-4-42222-1-1000000000000000000000088-4-4-4-4220000000-4-42222-1-1000000000000000000000088-4-4-4-4220000000-4-42222-1-1000000000000000000000088-4-4-4-4220000000-4-42222-1-10000000000000000000000
χ458-8-4-4442-20000000-4422-2-2-1100000000000000000000008-8-4-4442-20000000-4422-2-2-1100000000000000000000008-8-4-4442-20000000-4422-2-2-1100000000000000000000008-8-4-4442-20000000-4422-2-2-110000000000000000000000
χ46111111111111111111111111111111111111111111111iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ47111111111-111-1-1-1111111111-111-1-1-1111111111-111-1-1-1iiiiiiiii−iii−i−i−iiiiiiiiii−iii−i−i−iiiiiiiiii−iii−i−i−i-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-11-1-1111−i−i−i−i−i−i−i−i−ii−i−iiii−i−i−i−i−i−i−i−i−ii−i−iiii−i−i−i−i−i−i−i−i−ii−i−iiii
χ4811111111-11-1-111-111111111-11-1-111-111111111-11-1-111-1iiiiiiii−ii−i−iii−iiiiiiiii−ii−i−iii−iiiiiiiii−ii−i−iii−i-1-1-1-1-1-1-1-11-111-1-11-1-1-1-1-1-1-1-11-111-1-11-1-1-1-1-1-1-1-11-111-1-11−i−i−i−i−i−i−i−ii−iii−i−ii−i−i−i−i−i−i−i−ii−iii−i−ii−i−i−i−i−i−i−i−ii−iii−i−ii
χ4911111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-11iiiiiiii−i−i−i−i−i−iiiiiiiiii−i−i−i−i−i−iiiiiiiiii−i−i−i−i−i−ii-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1−i−i−i−i−i−i−i−iiiiiii−i−i−i−i−i−i−i−i−iiiiiii−i−i−i−i−i−i−i−i−iiiiiii−i
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χ1452-22-1-21-110000i3−i302-22-1-21-110000i3−i302-22-1-21-110000i3−i30−2i2i−2ii2i−ii−i00003−30−2i2i−2ii2i−ii−i00003−30−2i2i−2ii2i−ii−i00003−30-22-212-11-10000−i3i30-22-212-11-10000−i3i30-22-212-11-10000−i3i302i−2i2i−i−2ii−ii0000−3302i−2i2i−i−2ii−ii0000−3302i−2i2i−i−2ii−ii0000−330
χ1462-22-1-21-110000−i3i302-22-1-21-110000−i3i302-22-1-21-110000−i3i30−2i2i−2ii2i−ii−i0000−330−2i2i−2ii2i−ii−i0000−330−2i2i−2ii2i−ii−i0000−330-22-212-11-10000i3−i30-22-212-11-10000i3−i30-22-212-11-10000i3−i302i−2i2i−i−2ii−ii00003−302i−2i2i−i−2ii−ii00003−302i−2i2i−i−2ii−ii00003−30
χ1472-2-121-2-1100i3−i30002-2-121-2-1100i3−i30002-2-121-2-1100i3−i3000−2i2ii−2i−i2ii−i003−3000−2i2ii−2i−i2ii−i003−3000−2i2ii−2i−i2ii−i003−3000-221-2-121-100−i3i3000-221-2-121-100−i3i3000-221-2-121-100−i3i30002i−2i−i2ii−2i−ii00−330002i−2i−i2ii−2i−ii00−330002i−2i−i2ii−2i−ii00−33000
χ1482-2-121-2-1100−i3i30002-2-121-2-1100−i3i30002-2-121-2-1100−i3i3000−2i2ii−2i−i2ii−i00−33000−2i2ii−2i−i2ii−i00−33000−2i2ii−2i−i2ii−i00−33000-221-2-121-100i3−i3000-221-2-121-100i3−i3000-221-2-121-100i3−i30002i−2i−i2ii−2i−ii003−30002i−2i−i2ii−2i−ii003−30002i−2i−i2ii−2i−ii003−3000
χ14944-2-2-2-211000000044-2-2-2-211000000044-2-2-2-2110000000−4i−4i2i2i2i2i−i−i0000000−4i−4i2i2i2i2i−i−i0000000−4i−4i2i2i2i2i−i−i0000000-4-42222-1-10000000-4-42222-1-10000000-4-42222-1-100000004i4i−2i−2i−2i−2iii00000004i4i−2i−2i−2i−2iii00000004i4i−2i−2i−2i−2iii0000000
χ1504-4-2-2221-100000004-4-2-2221-100000004-4-2-2221-10000000−4i4i2i2i−2i−2i−ii0000000−4i4i2i2i−2i−2i−ii0000000−4i4i2i2i−2i−2i−ii0000000-4422-2-2-110000000-4422-2-2-110000000-4422-2-2-1100000004i−4i−2i−2i2i2ii−i00000004i−4i−2i−2i2i2ii−i00000004i−4i−2i−2i2i2ii−i0000000
χ151111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111iiiiiiiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ152111111111-111-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111−i−i−i−i−i−i−i−i−ii−i−iiii−i−i−i−i−i−i−i−i−ii−i−iiiiiiiiiiiii−iii−i−i−i-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-11-1-1111111111111-111-1-1-1iiiiiiiii−iii−i−i−iiiiiiiiii−iii−i−i−i−i−i−i−i−i−i−i−i−ii−i−iiii
χ15311111111-11-1-111-111111111-11-1-111-1-1-1-1-1-1-1-1-11-111-1-11−i−i−i−i−i−i−i−ii−iii−i−ii−i−i−i−i−i−i−i−ii−iii−i−iiiiiiiiii−ii−i−iii−i-1-1-1-1-1-1-1-11-111-1-11-1-1-1-1-1-1-1-11-111-1-1111111111-11-1-111-1iiiiiiii−ii−i−iii−iiiiiiiii−ii−i−iii−i−i−i−i−i−i−i−i−ii−iii−i−ii
χ15411111111-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1−i−i−i−i−i−i−i−iiiiiii−i−i−i−i−i−i−i−i−iiiiiii−iiiiiiiii−i−i−i−i−i−ii-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111-111111111-1-1-1-1-1-11iiiiiiii−i−i−i−i−i−iiiiiiiiii−i−i−i−i−i−ii−i−i−i−i−i−i−i−iiiiiii−i
χ155222-12-1-1-10200-1-10222-12-1-1-10200-1-10-2-2-21-21110-200110−2i−2i−2ii−2iiii0−2i00ii0−2i−2i−2ii−2iiii0−2i00ii02i2i2i−i2i−i−i−i02i00−i−i0-2-2-21-21110-200110-2-2-21-21110-200110222-12-1-1-10200-1-102i2i2i−i2i−i−i−i02i00−i−i02i2i2i−i2i−i−i−i02i00−i−i0−2i−2i−2ii−2iiii0−2i00ii0
χ156222-12-1-1-10-200110222-12-1-1-10-200110-2-2-21-21110200-1-10−2i−2i−2ii−2iiii02i00−i−i0−2i−2i−2ii−2iiii02i00−i−i02i2i2i−i2i−i−i−i0−2i00ii0-2-2-21-21110200-1-10-2-2-21-21110200-1-10222-12-1-1-10-2001102i2i2i−i2i−i−i−i0−2i00ii02i2i2i−i2i−i−i−i0−2i00ii0−2i−2i−2ii−2iiii02i00−i−i0
χ15722-12-12-1-120-1-100022-12-12-1-120-1-1000-2-21-21-211-2011000−2i−2ii−2ii−2iii−2i0ii000−2i−2ii−2ii−2iii−2i0ii0002i2i−i2i−i2i−i−i2i0−i−i000-2-21-21-211-2011000-2-21-21-211-201100022-12-12-1-120-1-10002i2i−i2i−i2i−i−i2i0−i−i0002i2i−i2i−i2i−i−i2i0−i−i000−2i−2ii−2ii−2iii−2i0ii000
χ15822-12-12-1-1-201100022-12-12-1-1-2011000-2-21-21-21120-1-1000−2i−2ii−2ii−2iii2i0−i−i000−2i−2ii−2ii−2iii2i0−i−i0002i2i−i2i−i2i−i−i−2i0ii000-2-21-21-21120-1-1000-2-21-21-21120-1-100022-12-12-1-1-20110002i2i−i2i−i2i−i−i−2i0ii0002i2i−i2i−i2i−i−i−2i0ii000−2i−2ii−2ii−2iii2i0−i−i000
χ1592-222-2-22-200000002-222-2-22-20000000-22-2-222-220000000−2i2i−2i−2i2i2i−2i2i0000000−2i2i−2i−2i2i2i−2i2i00000002i−2i2i2i−2i−2i2i−2i0000000-22-2-222-220000000-22-2-222-2200000002-222-2-22-200000002i−2i2i2i−2i−2i2i−2i00000002i−2i2i2i−2i−2i2i−2i0000000−2i2i−2i−2i2i2i−2i2i0000000
χ1602-22-1-21-110000i3−i302-22-1-21-110000i3−i30-22-212-11-10000−i3i30−2i2i−2ii2i−ii−i00003−30−2i2i−2ii2i−ii−i00003−302i−2i2i−i−2ii−ii0000−330-22-212-11-10000−i3i30-22-212-11-10000−i3i302-22-1-21-110000i3−i302i−2i2i−i−2ii−ii0000−3302i−2i2i−i−2ii−ii0000−330−2i2i−2ii2i−ii−i00003−30
χ1612-22-1-21-110000−i3i302-22-1-21-110000−i3i30-22-212-11-10000i3−i30−2i2i−2ii2i−ii−i0000−330−2i2i−2ii2i−ii−i0000−3302i−2i2i−i−2ii−ii00003−30-22-212-11-10000i3−i30-22-212-11-10000i3−i302-22-1-21-110000−i3i302i−2i2i−i−2ii−ii00003−302i−2i2i−i−2ii−ii00003−30−2i2i−2ii2i−ii−i0000−330
χ1622-2-121-2-1100i3−i30002-2-121-2-1100i3−i3000-221-2-121-100−i3i3000−2i2ii−2i−i2ii−i003−3000−2i2ii−2i−i2ii−i003−30002i−2i−i2ii−2i−ii00−33000-221-2-121-100−i3i3000-221-2-121-100−i3i30002-2-121-2-1100i3−i30002i−2i−i2ii−2i−ii00−330002i−2i−i2ii−2i−ii00−33000−2i2ii−2i−i2ii−i003−3000
χ1632-2-121-2-1100−i3i30002-2-121-2-1100−i3i3000-221-2-121-100i3−i3000−2i2ii−2i−i2ii−i00−33000−2i2ii−2i−i2ii−i00−330002i−2i−i2ii−2i−ii003−3000-221-2-121-100i3−i3000-221-2-121-100i3−i30002-2-121-2-1100−i3i30002i−2i−i2ii−2i−ii003−30002i−2i−i2ii−2i−ii003−3000−2i2ii−2i−i2ii−i00−33000
χ16444-2-2-2-211000000044-2-2-2-2110000000-4-42222-1-10000000−4i−4i2i2i2i2i−i−i0000000−4i−4i2i2i2i2i−i−i00000004i4i−2i−2i−2i−2iii0000000-4-42222-1-10000000-4-42222-1-1000000044-2-2-2-21100000004i4i−2i−2i−2i−2iii00000004i4i−2i−2i−2i−2iii0000000−4i−4i2i2i2i2i−i−i0000000
χ1654-4-2-2221-100000004-4-2-2221-10000000-4422-2-2-110000000−4i4i2i2i−2i−2i−ii0000000−4i4i2i2i−2i−2i−ii00000004i−4i−2i−2i2i2ii−i0000000-4422-2-2-110000000-4422-2-2-1100000004-4-2-2221-100000004i−4i−2i−2i2i2ii−i00000004i−4i−2i−2i2i2ii−i0000000−4i4i2i2i−2i−2i−ii0000000
χ166222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2iiiiiiiiiiiiiiii000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111111111110000000000000002i2i2i2i2i2i2i2i2i2i2i2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i000000000000000
χ167222222222-222-2-2-2-1-1-1-1-1-1-1-1-11-1-1111000000000000000−2i−2i−2i−2i−2i−2i−2i−2i−2i2i−2i−2i2i2i2iiiiiiiiii−iii−i−i−i000000000000000-2-2-2-2-2-2-2-2-22-2-2222111111111-111-1-1-10000000000000002i2i2i2i2i2i2i2i2i−2i2i2i−2i−2i−2i−i−i−i−i−i−i−i−i−ii−i−iiii000000000000000
χ16822222222-22-2-222-2-1-1-1-1-1-1-1-11-111-1-11000000000000000−2i−2i−2i−2i−2i−2i−2i−2i2i−2i2i2i−2i−2i2iiiiiiiii−ii−i−iii−i000000000000000-2-2-2-2-2-2-2-22-222-2-2211111111-11-1-111-10000000000000002i2i2i2i2i2i2i2i−2i2i−2i−2i2i2i−2i−i−i−i−i−i−i−i−ii−iii−i−ii000000000000000
χ16922222222-2-2-2-2-2-22-1-1-1-1-1-1-1-1111111-1000000000000000−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i−2iiiiiiiii−i−i−i−i−i−ii000000000000000-2-2-2-2-2-2-2-2222222-211111111-1-1-1-1-1-110000000000000002i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i2i−i−i−i−i−i−i−i−iiiiiii−i000000000000000
χ170444-24-2-2-20400-2-20-2-2-21-21110-200110000000000000000−4i−4i−4i2i−4i2i2i2i0−4i002i2i02i2i2i−i2i−i−i−i02i00−i−i0000000000000000-4-4-42-42220-400220222-12-1-1-10200-1-100000000000000004i4i4i−2i4i−2i−2i−2i04i00−2i−2i0−2i−2i−2ii−2iiii0−2i00ii0000000000000000
χ171444-24-2-2-20-400220-2-2-21-21110200-1-10000000000000000−4i−4i−4i2i−4i2i2i2i04i00−2i−2i02i2i2i−i2i−i−i−i0−2i00ii0000000000000000-4-4-42-42220400-2-20222-12-1-1-10-2001100000000000000004i4i4i−2i4i−2i−2i−2i0−4i002i2i0−2i−2i−2ii−2iiii02i00−i−i0000000000000000
χ17244-24-24-2-240-2-2000-2-21-21-211-2011000000000000000000−4i−4i2i−4i2i−4i2i2i−4i02i2i0002i2i−i2i−i2i−i−i2i0−i−i000000000000000000-4-42-42-422-402200022-12-12-1-120-1-10000000000000000004i4i−2i4i−2i4i−2i−2i4i0−2i−2i000−2i−2ii−2ii−2iii−2i0ii000000000000000000
χ17344-24-24-2-2-4022000-2-21-21-21120-1-1000000000000000000−4i−4i2i−4i2i−4i2i2i4i0−2i−2i0002i2i−i2i−i2i−i−i−2i0ii000000000000000000-4-42-42-42240-2-200022-12-12-1-1-20110000000000000000004i4i−2i4i−2i4i−2i−2i−4i02i2i000−2i−2ii−2ii−2iii2i0−i−i000000000000000000
χ1744-444-4-44-40000000-22-2-222-220000000000000000000000−4i4i−4i−4i4i4i−4i4i00000002i−2i2i2i−2i−2i2i−2i0000000000000000000000-44-4-444-4400000002-222-2-22-200000000000000000000004i−4i4i4i−4i−4i4i−4i0000000−2i2i−2i−2i2i2i−2i2i0000000000000000000000
χ1754-44-2-42-2200002i3−2i30-22-212-11-10000−i3i30000000000000000−4i4i−4i2i4i−2i2i−2i000023−2302i−2i2i−i−2ii−ii0000−330000000000000000-44-424-22-20000−2i32i302-22-1-21-110000i3−i300000000000000004i−4i4i−2i−4i2i−2i2i0000−23230−2i2i−2ii2i−ii−i00003−30000000000000000
χ1764-44-2-42-220000−2i32i30-22-212-11-10000i3−i30000000000000000−4i4i−4i2i4i−2i2i−2i0000−232302i−2i2i−i−2ii−ii00003−30000000000000000-44-424-22-200002i3−2i302-22-1-21-110000−i3i300000000000000004i−4i4i−2i−4i2i−2i2i000023−230−2i2i−2ii2i−ii−i0000−330000000000000000
χ1774-4-242-4-22002i3−2i3000-221-2-121-100−i3i3000000000000000000−4i4i2i−4i−2i4i2i−2i0023−230002i−2i−i2ii−2i−ii00−33000000000000000000-442-4-242-200−2i32i30002-2-121-2-1100i3−i30000000000000000004i−4i−2i4i2i−4i−2i2i00−2323000−2i2ii−2i−i2ii−i003−3000000000000000000
χ1784-4-242-4-2200−2i32i3000-221-2-121-100i3−i3000000000000000000−4i4i2i−4i−2i4i2i−2i00−23230002i−2i−i2ii−2i−ii003−3000000000000000000-442-4-242-2002i3−2i30002-2-121-2-1100−i3i30000000000000000004i−4i−2i4i2i−4i−2i2i0023−23000−2i2ii−2i−i2ii−i00−33000000000000000000
χ17988-4-4-4-4220000000-4-42222-1-10000000000000000000000−8i−8i4i4i4i4i−2i−2i00000004i4i−2i−2i−2i−2iii0000000000000000000000-8-84444-2-2000000044-2-2-2-21100000000000000000000008i8i−4i−4i−4i−4i2i2i0000000−4i−4i2i2i2i2i−i−i0000000000000000000000
χ1808-8-4-4442-20000000-4422-2-2-110000000000000000000000−8i8i4i4i−4i−4i−2i2i00000004i−4i−2i−2i2i2ii−i0000000000000000000000-8844-4-4-2200000004-4-2-2221-100000000000000000000008i−8i−4i−4i4i4i2i−2i0000000−4i4i2i2i−2i−2i−ii0000000000000000000000

Here i is the imaginary unit (i² = −1).