Finite Group Databasebeta

← Group #11723154

Character table — Group #11723154

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222222222444444444466666666666612121212121236361111222222222222224444444444666666666666121212121212363611112222222222222244444444446666666666661212121212123636
order124423346666121212121212366661212121212888824242424242424242466121224361212633126666121212121212366661212121212242424242424242424242424612661212612361212633126666121212121212366661212121212242424242424242424242424612661212612
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ511-1-1-1111-1-111-1-1-1-1111-1-1-11111-1-111-1-11111-1-1-1-11-111-1-11-111-1-1-1111-1-111-1-1-1-1111-1-1-11111-1-111-1-11111-1-1-1-11-111-1-11-111-1-1-1111-1-111-1-1-1-1111-1-1-11111-1-111-1-11111-1-1-1-11-111-1-11-1
χ611-1-1-1111-1-111-1-1-1-1111-1-1-11111-1-111-1-11111-1-1-1-1-11-1-111-1111-1-1-1111-1-111-1-1-1-1111-1-1-11111-1-111-1-11111-1-1-1-1-11-1-111-1111-1-1-1111-1-111-1-1-1-1111-1-1-11111-1-111-1-11111-1-1-1-1-11-1-111-11
χ711-1-1-1111-1-111-1-1-1-1111-1-1-11111-1-1-1-111-1-1-1-111111-111-1-1-1111-1-1-1111-1-111-1-1-1-1111-1-1-11111-1-1-1-111-1-1-1-111111-111-1-1-1111-1-1-1111-1-111-1-1-1-1111-1-1-11111-1-1-1-111-1-1-1-111111-111-1-1-11
χ811-1-1-1111-1-111-1-1-1-1111-1-1-11111-1-1-1-111-1-1-1-11111-11-1-1111-111-1-1-1111-1-111-1-1-1-1111-1-1-11111-1-1-1-111-1-1-1-11111-11-1-1111-111-1-1-1111-1-111-1-1-1-1111-1-1-11111-1-1-1-111-1-1-1-11111-11-1-1111-1
χ9222222-12222-122-1-122-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-100222222-12222-122-1-122-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-100222222-12222-122-1-122-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-100
χ10222222-12222-122-1-122-1-1-1-1-1-1-1-1-1-1000000000000-2-2111100222222-12222-122-1-122-1-1-1-1-1-1-1-1-1-1000000000000-2-2111100222222-12222-122-1-122-1-1-1-1-1-1-1-1-1-1000000000000-2-2111100
χ1122222-122-1-1-12-1-122-1-1-12-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-10000000022222-122-1-1-12-1-122-1-1-12-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-10000000022222-122-1-1-12-1-122-1-1-12-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-100000000
χ1222222-122-1-1-12-1-122-1-1-12-1-1-12-1-1-1-1-2-2-2-2111111110000000022222-122-1-1-12-1-122-1-1-12-1-1-12-1-1-1-1-2-2-2-2111111110000000022222-122-1-1-12-1-122-1-1-12-1-1-12-1-1-1-1-2-2-2-21111111100000000
χ132222-222-2-2-2222222-2-22-2-2-22-2-2-222000000000000000000002222-222-2-2-2222222-2-22-2-2-22-2-2-222000000000000000000002222-222-2-2-2222222-2-22-2-2-22-2-2-22200000000000000000000
χ142222-22-1-2-2-22-122-1-1-2-2-1111-1111-1-100000000000000−i3i3−i3i3002222-22-1-2-2-22-122-1-1-2-2-1111-1111-1-100000000000000−i3i3−i3i3002222-22-1-2-2-22-122-1-1-2-2-1111-1111-1-100000000000000−i3i3−i3i300
χ152222-22-1-2-2-22-122-1-1-2-2-1111-1111-1-100000000000000i3−i3i3−i3002222-22-1-2-2-22-122-1-1-2-2-1111-1111-1-100000000000000i3−i3i3−i3002222-22-1-2-2-22-122-1-1-2-2-1111-1111-1-100000000000000i3−i3i3−i300
χ162222-2-12-211-12-1-12211-1-211-1-211-1-1000033−3−333−3−3000000002222-2-12-211-12-1-12211-1-211-1-211-1-1000033−3−333−3−3000000002222-2-12-211-12-1-12211-1-211-1-211-1-1000033−3−333−3−300000000
χ172222-2-12-211-12-1-12211-1-211-1-211-1-10000−3−333−3−333000000002222-2-12-211-12-1-12211-1-211-1-211-1-10000−3−333−3−333000000002222-2-12-211-12-1-12211-1-211-1-211-1-10000−3−333−3−33300000000
χ1822-2-2222-22222-2-2-2-2-2-222222-2-2-2-2-20000000000000000000022-2-2222-22222-2-2-2-2-2-222222-2-2-2-2-20000000000000000000022-2-2222-22222-2-2-2-2-2-222222-2-2-2-2-200000000000000000000
χ1922-2-222-1-2222-1-2-211-2-2-1-1-1-1-11111100000000000000−i3i3i3−i30022-2-222-1-2222-1-2-211-2-2-1-1-1-1-11111100000000000000−i3i3i3−i30022-2-222-1-2222-1-2-211-2-2-1-1-1-1-11111100000000000000−i3i3i3−i300
χ2022-2-222-1-2222-1-2-211-2-2-1-1-1-1-11111100000000000000i3−i3−i3i30022-2-222-1-2222-1-2-211-2-2-1-1-1-1-11111100000000000000i3−i3−i3i30022-2-222-1-2222-1-2-211-2-2-1-1-1-1-11111100000000000000i3−i3−i3i300
χ2122-2-22-12-2-1-1-1211-2-211-12-1-1-1-21111000033−3−3−3−3330000000022-2-22-12-2-1-1-1211-2-211-12-1-1-1-21111000033−3−3−3−3330000000022-2-22-12-2-1-1-1211-2-211-12-1-1-1-21111000033−3−3−3−33300000000
χ2222-2-22-12-2-1-1-1211-2-211-12-1-1-1-211110000−3−33333−3−30000000022-2-22-12-2-1-1-1211-2-211-12-1-1-1-211110000−3−33333−3−30000000022-2-22-12-2-1-1-1211-2-211-12-1-1-1-211110000−3−33333−3−300000000
χ2322-2-2-22-12-2-22-1-2-21122-1111-1-1-1-1110000000000002-2-1-1110022-2-2-22-12-2-22-1-2-21122-1111-1-1-1-1110000000000002-2-1-1110022-2-2-22-12-2-22-1-2-21122-1111-1-1-1-1110000000000002-2-1-11100
χ2422-2-2-22-12-2-22-1-2-21122-1111-1-1-1-111000000000000-2211-1-10022-2-2-22-12-2-22-1-2-21122-1111-1-1-1-111000000000000-2211-1-10022-2-2-22-12-2-22-1-2-21122-1111-1-1-1-111000000000000-2211-1-100
χ2522-2-2-2-12211-1211-2-2-1-1-1-211-12-1-11122-2-2-1-1-1-111110000000022-2-2-2-12211-1211-2-2-1-1-1-211-12-1-11122-2-2-1-1-1-111110000000022-2-2-2-12211-1211-2-2-1-1-1-211-12-1-11122-2-2-1-1-1-1111100000000
χ2622-2-2-2-12211-1211-2-2-1-1-1-211-12-1-111-2-2221111-1-1-1-10000000022-2-2-2-12211-1211-2-2-1-1-1-211-12-1-111-2-2221111-1-1-1-10000000022-2-2-2-12211-1211-2-2-1-1-1-211-12-1-111-2-2221111-1-1-1-100000000
χ272-22i−2i022000-2-22i−2i2i−2i002000-20002i−2i2−2−i2i22−22−2−i2i2−i2i2000000002-22i−2i022000-2-22i−2i2i−2i002000-20002i−2i2−2−i2i22−22−2−i2i2−i2i2000000002-22i−2i022000-2-22i−2i2i−2i002000-20002i−2i2−2−i2i22−22−2−i2i2−i2i200000000
χ282-22i−2i022000-2-22i−2i2i−2i002000-20002i−2i−22i2−i2−22−22i2−i2i2−i2000000002-22i−2i022000-2-22i−2i2i−2i002000-20002i−2i−22i2−i2−22−22i2−i2i2−i2000000002-22i−2i022000-2-22i−2i2i−2i002000-20002i−2i−22i2−i2−22−22i2−i2i2−i200000000
χ292-22i−2i0-120−i3i31-2−ii2i−2i3−3-10−i3i3103−3−ii2−2−i2i2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000002-22i−2i0-120−i3i31-2−ii2i−2i3−3-10−i3i3103−3−ii2−2−i2i2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000002-22i−2i0-120−i3i31-2−ii2i−2i3−3-10−i3i3103−3−ii2−2−i2i2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000
χ302-22i−2i0-120−i3i31-2−ii2i−2i3−3-10−i3i3103−3−ii−22i2−i2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000002-22i−2i0-120−i3i31-2−ii2i−2i3−3-10−i3i3103−3−ii−22i2−i2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000002-22i−2i0-120−i3i31-2−ii2i−2i3−3-10−i3i3103−3−ii−22i2−i2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000
χ312-22i−2i0-120i3−i31-2−ii2i−2i−33-10i3−i310−33−ii2−2−i2i2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000002-22i−2i0-120i3−i31-2−ii2i−2i−33-10i3−i310−33−ii2−2−i2i2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000002-22i−2i0-120i3−i31-2−ii2i−2i−33-10i3−i310−33−ii2−2−i2i2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000
χ322-22i−2i0-120i3−i31-2−ii2i−2i−33-10i3−i310−33−ii−22i2−i2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000002-22i−2i0-120i3−i31-2−ii2i−2i−33-10i3−i310−33−ii−22i2−i2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000002-22i−2i0-120i3−i31-2−ii2i−2i−33-10i3−i310−33−ii−22i2−i2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000
χ332-2−2i2i022000-2-2−2i2i−2i2i002000-2000−2i2i2−2i2−i22−22−2i2−i2i2−i2000000002-2−2i2i022000-2-2−2i2i−2i2i002000-2000−2i2i2−2i2−i22−22−2i2−i2i2−i2000000002-2−2i2i022000-2-2−2i2i−2i2i002000-2000−2i2i2−2i2−i22−22−2i2−i2i2−i200000000
χ342-2−2i2i022000-2-2−2i2i−2i2i002000-2000−2i2i−22−i2i2−22−22−i2i2−i2i2000000002-2−2i2i022000-2-2−2i2i−2i2i002000-2000−2i2i−22−i2i2−22−22−i2i2−i2i2000000002-2−2i2i022000-2-2−2i2i−2i2i002000-2000−2i2i−22−i2i2−22−22−i2i2−i2i200000000
χ352-2−2i2i0-120−i3i31-2i−i−2i2i−33-10−i3i310−33i−i2−2i2−i2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000002-2−2i2i0-120−i3i31-2i−i−2i2i−33-10−i3i310−33i−i2−2i2−i2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000002-2−2i2i0-120−i3i31-2i−i−2i2i−33-10−i3i310−33i−i2−2i2−i2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000
χ362-2−2i2i0-120−i3i31-2i−i−2i2i−33-10−i3i310−33i−i−22−i2i2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000002-2−2i2i0-120−i3i31-2i−i−2i2i−33-10−i3i310−33i−i−22−i2i2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000002-2−2i2i0-120−i3i31-2i−i−2i2i−33-10−i3i310−33i−i−22−i2i2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000
χ372-2−2i2i0-120i3−i31-2i−i−2i2i3−3-10i3−i3103−3i−i2−2i2−i2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000002-2−2i2i0-120i3−i31-2i−i−2i2i3−3-10i3−i3103−3i−i2−2i2−i2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000002-2−2i2i0-120i3−i31-2i−i−2i2i3−3-10i3−i3103−3i−i2−2i2−i2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000
χ382-2−2i2i0-120i3−i31-2i−i−2i2i3−3-10i3−i3103−3i−i−22−i2i2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000002-2−2i2i0-120i3−i31-2i−i−2i2i3−3-10i3−i3103−3i−i−22−i2i2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000002-2−2i2i0-120i3−i31-2i−i−2i2i3−3-10i3−i3103−3i−i−22−i2i2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000
χ3944444-2-24-2-2-2-2-2-2-2-2-2-21-2111-211110000000000000000000044444-2-24-2-2-2-2-2-2-2-2-2-21-2111-211110000000000000000000044444-2-24-2-2-2-2-2-2-2-2-2-21-2111-2111100000000000000000000
χ404444-4-2-2-422-2-2-2-2-2-22212-1-112-1-111000000000000000000004444-4-2-2-422-2-2-2-2-2-22212-1-112-1-111000000000000000000004444-4-2-2-422-2-2-2-2-2-22212-1-112-1-11100000000000000000000
χ4144-4-44-2-2-4-2-2-2-22222221-21112-1-1-1-10000000000000000000044-4-44-2-2-4-2-2-2-22222221-21112-1-1-1-10000000000000000000044-4-44-2-2-4-2-2-2-22222221-21112-1-1-1-100000000000000000000
χ4244-4-4-4-2-2422-2-22222-2-212-1-11-211-1-10000000000000000000044-4-4-4-2-2422-2-22222-2-212-1-11-211-1-10000000000000000000044-4-4-4-2-2422-2-22222-2-212-1-11-211-1-100000000000000000000
χ434-44i−4i04-2000-424i−4i−2i2i00-20002000−2i2i000000000000000000004-44i−4i04-2000-424i−4i−2i2i00-20002000−2i2i000000000000000000004-44i−4i04-2000-424i−4i−2i2i00-20002000−2i2i00000000000000000000
χ444-44i−4i0-2-20−2i32i322−2i2i−2i2i23−2310i3−i3-10−33i−i000000000000000000004-44i−4i0-2-20−2i32i322−2i2i−2i2i23−2310i3−i3-10−33i−i000000000000000000004-44i−4i0-2-20−2i32i322−2i2i−2i2i23−2310i3−i3-10−33i−i00000000000000000000
χ454-44i−4i0-2-202i3−2i322−2i2i−2i2i−232310−i3i3-103−3i−i000000000000000000004-44i−4i0-2-202i3−2i322−2i2i−2i2i−232310−i3i3-103−3i−i000000000000000000004-44i−4i0-2-202i3−2i322−2i2i−2i2i−232310−i3i3-103−3i−i00000000000000000000
χ464-4−4i4i04-2000-42−4i4i2i−2i00-200020002i−2i000000000000000000004-4−4i4i04-2000-42−4i4i2i−2i00-200020002i−2i000000000000000000004-4−4i4i04-2000-42−4i4i2i−2i00-200020002i−2i00000000000000000000
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χ106222222-12222-122-1-122-1-1-1-1-1-1-1-1-1-1000000000000-2-2111100−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000000000001+i31+i3−1−i32−1−i32−1−i32−1−i3200−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000000000001−i31−i3−1+i32−1+i32−1+i32−1+i3200
χ10722222-122-1-1-12-1-122-1-1-12-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-100000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i3200000000
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χ1112222-22-1-2-2-22-122-1-1-2-2-1111-1111-1-100000000000000i3−i3i3−i300−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i321+i31+i31+i3−1−i31+i32−1−i3−1−i31+i321+i321+i31+i31+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32000000000000003−i32−3+i323−i32−3+i3200−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i321−i31−i31−i3−1+i31−i32−1+i3−1+i31−i321−i321−i31−i31−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i3200000000000000−3−i323+i32−3−i323+i3200
χ1122222-2-12-211-12-1-12211-1-211-1-211-1-1000033−3−333−3−300000000−1−i3−1−i3−1−i3−1−i31+i31+i32−1−i31+i3−1−i32−1−i321+i32−1−i31+i321+i32−1−i3−1−i3−1−i32−1−i321+i321+i3−1−i32−1−i321+i321+i3−1−i32−1−i321+i321+i3200002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ2200000000−1+i3−1+i3−1+i3−1+i31−i31−i32−1+i31−i3−1+i32−1+i321−i32−1+i31−i321−i32−1+i3−1+i3−1+i32−1+i321−i321−i3−1+i32−1+i321−i321−i3−1+i32−1+i321−i321−i320000−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ2200000000
χ1132222-2-12-211-12-1-12211-1-211-1-211-1-10000−3−333−3−33300000000−1−i3−1−i3−1−i3−1−i31+i31+i32−1−i31+i3−1−i32−1−i321+i32−1−i31+i321+i32−1−i3−1−i3−1−i32−1−i321+i321+i3−1−i32−1−i321+i321+i3−1−i32−1−i321+i321+i320000−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200000000−1+i3−1+i3−1+i3−1+i31−i31−i32−1+i31−i3−1+i32−1+i321−i32−1+i31−i321−i32−1+i3−1+i3−1+i32−1+i321−i321−i3−1+i32−1+i321−i321−i3−1+i32−1+i321−i321−i320000ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ2200000000
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χ11522-2-222-1-2222-1-2-211-2-2-1-1-1-1-11111100000000000000−i3i3i3−i300−1−i3−1−i31+i31+i3−1−i3−1−i31+i321+i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i32−1−i321+i31+i31+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000000000−3+i323−i323−i32−3+i3200−1+i3−1+i31−i31−i3−1+i3−1+i31−i321−i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i32−1+i321−i31−i31−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000003+i32−3−i32−3−i323+i3200
χ11622-2-222-1-2222-1-2-211-2-2-1-1-1-1-11111100000000000000i3−i3−i3i300−1−i3−1−i31+i31+i3−1−i3−1−i31+i321+i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i32−1−i321+i31+i31+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000000003−i32−3+i32−3+i323−i3200−1+i3−1+i31−i31−i3−1+i3−1+i31−i321−i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i32−1+i321−i31−i31−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000000000−3−i323+i323+i32−3−i3200
χ11722-2-22-12-2-1-1-1211-2-211-12-1-1-1-21111000033−3−3−3−33300000000−1−i3−1−i31+i31+i3−1−i31+i32−1−i31+i31+i321+i321+i32−1−i3−1−i32−1−i321+i31+i3−1−i32−1−i321+i32−1−i31+i321+i321+i321+i3−1−i32−1−i32−1−i32−1−i3200002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200000000−1+i3−1+i31−i31−i3−1+i31−i32−1+i31−i31−i321−i321−i32−1+i3−1+i32−1+i321−i31−i3−1+i32−1+i321−i32−1+i31−i321−i321−i321−i3−1+i32−1+i32−1+i32−1+i320000−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ2200000000
χ11822-2-22-12-2-1-1-1211-2-211-12-1-1-1-211110000−3−33333−3−300000000−1−i3−1−i31+i31+i3−1−i31+i32−1−i31+i31+i321+i321+i32−1−i3−1−i32−1−i321+i31+i3−1−i32−1−i321+i32−1−i31+i321+i321+i321+i3−1−i32−1−i32−1−i32−1−i320000−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ2200000000−1+i3−1+i31−i31−i3−1+i31−i32−1+i31−i31−i321−i321−i32−1+i3−1+i32−1+i321−i31−i3−1+i32−1+i321−i32−1+i31−i321−i321−i321−i3−1+i32−1+i32−1+i32−1+i320000ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ2200000000
χ11922-2-2-22-12-2-22-1-2-21122-1111-1-1-1-1110000000000002-2-1-11100−1−i3−1−i31+i31+i31+i3−1−i31+i32−1−i31+i31+i3−1−i31+i321+i31+i3−1−i32−1−i32−1−i3−1−i31+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32000000000000−1−i31+i31+i321+i32−1−i32−1−i3200−1+i3−1+i31−i31−i31−i3−1+i31−i32−1+i31−i31−i3−1+i31−i321−i31−i3−1+i32−1+i32−1+i3−1+i31−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32000000000000−1+i31−i31−i321−i32−1+i32−1+i3200
χ12022-2-2-22-12-2-22-1-2-21122-1111-1-1-1-111000000000000-2211-1-100−1−i3−1−i31+i31+i31+i3−1−i31+i32−1−i31+i31+i3−1−i31+i321+i31+i3−1−i32−1−i32−1−i3−1−i31+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i320000000000001+i3−1−i3−1−i32−1−i321+i321+i3200−1+i3−1+i31−i31−i31−i3−1+i31−i32−1+i31−i31−i3−1+i31−i321−i31−i3−1+i32−1+i32−1+i3−1+i31−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i320000000000001−i3−1+i3−1+i32−1+i321−i321−i3200
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χ1312-2−2i2i0-120−i3i31-2i−i−2i2i−33-10−i3i310−33i−i2−2i2−i2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000−1−i31+i3−2ζ222ζ2201+i32−1−i30−3+i323−i32−1−i321+i3ζ22−ζ22−2ζ222ζ22−2ζ14−ζ222ζ14+ζ221+i320−3+i323−i32−1−i320−2ζ14−ζ222ζ14+ζ22ζ22−ζ22−ζ7+ζ13ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ5+ζ7+ζ23−ζ5−ζ7−ζ23−ζ5−ζ13−ζ23ζ5+ζ13+ζ23ζ5+ζ13−ζ23−ζ5−ζ13+ζ23−ζ5+ζ7+ζ23ζ5−ζ7−ζ2300000000−1+i31−i3−2ζ142ζ1401−i32−1+i303+i32−3−i32−1+i321−i3ζ14−ζ14−2ζ142ζ14ζ14+2ζ22−ζ14−2ζ221−i3203+i32−3−i32−1+i320ζ14+2ζ22−ζ14−2ζ22ζ14−ζ14ζ5−ζ23−ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ7−ζ13ζ5+ζ7+ζ13ζ7+ζ13+ζ23−ζ7−ζ13−ζ23ζ7−ζ13+ζ23−ζ7+ζ13−ζ23ζ5−ζ7+ζ13−ζ5+ζ7−ζ1300000000
χ1322-2−2i2i0-120−i3i31-2i−i−2i2i−33-10−i3i310−33i−i−22−i2i2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000−1−i31+i3−2ζ222ζ2201+i32−1−i30−3+i323−i32−1−i321+i3ζ22−ζ22−2ζ222ζ22−2ζ14−ζ222ζ14+ζ221+i320−3+i323−i32−1−i320−2ζ14−ζ222ζ14+ζ22ζ22−ζ22ζ7−ζ13−ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ5−ζ7−ζ23ζ5+ζ7+ζ23ζ5+ζ13+ζ23−ζ5−ζ13−ζ23−ζ5−ζ13+ζ23ζ5+ζ13−ζ23ζ5−ζ7−ζ23−ζ5+ζ7+ζ2300000000−1+i31−i3−2ζ142ζ1401−i32−1+i303+i32−3−i32−1+i321−i3ζ14−ζ14−2ζ142ζ14ζ14+2ζ22−ζ14−2ζ221−i3203+i32−3−i32−1+i320ζ14+2ζ22−ζ14−2ζ22ζ14−ζ14−ζ5+ζ23ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ7+ζ13−ζ5−ζ7−ζ13−ζ7−ζ13−ζ23ζ7+ζ13+ζ23−ζ7+ζ13−ζ23ζ7−ζ13+ζ23−ζ5+ζ7−ζ13ζ5−ζ7+ζ1300000000
χ1332-2−2i2i0-120i3−i31-2i−i−2i2i3−3-10i3−i3103−3i−i2−2i2−i2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000−1−i31+i3−2ζ222ζ2201+i32−1−i303−i32−3+i32−1−i321+i3ζ22−ζ22−2ζ222ζ222ζ14+ζ22−2ζ14−ζ221+i3203−i32−3+i32−1−i3202ζ14+ζ22−2ζ14−ζ22ζ22−ζ22−ζ7+ζ13ζ7−ζ13−ζ7−ζ13ζ7+ζ13−ζ5−ζ13−ζ23ζ5+ζ13+ζ23ζ5+ζ7+ζ23−ζ5−ζ7−ζ23−ζ5+ζ7+ζ23ζ5−ζ7−ζ23ζ5+ζ13−ζ23−ζ5−ζ13+ζ2300000000−1+i31−i3−2ζ142ζ1401−i32−1+i30−3−i323+i32−1+i321−i3ζ14−ζ14−2ζ142ζ14−ζ14−2ζ22ζ14+2ζ221−i320−3−i323+i32−1+i320−ζ14−2ζ22ζ14+2ζ22ζ14−ζ14ζ5−ζ23−ζ5+ζ23−ζ5−ζ23ζ5+ζ23ζ7+ζ13+ζ23−ζ7−ζ13−ζ23−ζ5−ζ7−ζ13ζ5+ζ7+ζ13ζ5−ζ7+ζ13−ζ5+ζ7−ζ13ζ7−ζ13+ζ23−ζ7+ζ13−ζ2300000000
χ1342-2−2i2i0-120i3−i31-2i−i−2i2i3−3-10i3−i3103−3i−i−22−i2i2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000−1−i31+i3−2ζ222ζ2201+i32−1−i303−i32−3+i32−1−i321+i3ζ22−ζ22−2ζ222ζ222ζ14+ζ22−2ζ14−ζ221+i3203−i32−3+i32−1−i3202ζ14+ζ22−2ζ14−ζ22ζ22−ζ22ζ7−ζ13−ζ7+ζ13ζ7+ζ13−ζ7−ζ13ζ5+ζ13+ζ23−ζ5−ζ13−ζ23−ζ5−ζ7−ζ23ζ5+ζ7+ζ23ζ5−ζ7−ζ23−ζ5+ζ7+ζ23−ζ5−ζ13+ζ23ζ5+ζ13−ζ2300000000−1+i31−i3−2ζ142ζ1401−i32−1+i30−3−i323+i32−1+i321−i3ζ14−ζ14−2ζ142ζ14−ζ14−2ζ22ζ14+2ζ221−i320−3−i323+i32−1+i320−ζ14−2ζ22ζ14+2ζ22ζ14−ζ14−ζ5+ζ23ζ5−ζ23ζ5+ζ23−ζ5−ζ23−ζ7−ζ13−ζ23ζ7+ζ13+ζ23ζ5+ζ7+ζ13−ζ5−ζ7−ζ13−ζ5+ζ7−ζ13ζ5−ζ7+ζ13−ζ7+ζ13−ζ23ζ7−ζ13+ζ2300000000
χ13544444-2-24-2-2-2-2-2-2-2-2-2-21-2111-2111100000000000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i31+i3−2−2i31+i31+i31+i31+i31+i31+i31+i31+i31+i31+i3−1−i321+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i32−1−i3200000000000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i31−i3−2+2i31−i31−i31−i31−i31−i31−i31−i31−i31−i31−i3−1+i321−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i32−1+i3200000000000000000000
χ1364444-4-2-2-422-2-2-2-2-2-22212-1-112-1-11100000000000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i31+i31+i32+2i3−1−i3−1−i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i32−1−i31+i321+i32−1−i32−1−i31+i321+i32−1−i32−1−i3200000000000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i31−i31−i32−2i3−1+i3−1+i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i32−1+i31−i321−i32−1+i32−1+i31−i321−i32−1+i32−1+i3200000000000000000000
χ13744-4-44-2-2-4-2-2-2-22222221-21112-1-1-1-100000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i31+i31+i32+2i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i321+i3−1−i32−1−i32−1−i32−1−i31+i321+i321+i321+i3200000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i31−i31−i32−2i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i321−i3−1+i32−1+i32−1+i32−1+i31−i321−i321−i321−i3200000000000000000000
χ13844-4-4-4-2-2422-2-22222-2-212-1-11-211-1-100000000000000000000−2−2i3−2−2i32+2i32+2i32+2i31+i31+i3−2−2i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i32−1−i31+i321+i32−1−i321+i3−1−i32−1−i321+i321+i3200000000000000000000−2+2i3−2+2i32−2i32−2i32−2i31−i31−i3−2+2i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i32−1+i31−i321−i32−1+i321−i3−1+i32−1+i321−i321−i3200000000000000000000
χ1394-44i−4i04-2000-424i−4i−2i2i00-20002000−2i2i00000000000000000000−2−2i32+2i34ζ22−4ζ220−2−2i31+i30002+2i3−1−i34ζ22−4ζ22−2ζ222ζ22001+i3000−1−i3000−2ζ222ζ2200000000000000000000−2+2i32−2i34ζ14−4ζ140−2+2i31−i30002−2i3−1+i34ζ14−4ζ14−2ζ142ζ14001−i3000−1+i3000−2ζ142ζ1400000000000000000000
χ1404-44i−4i0-2-20−2i32i322−2i2i−2i2i23−2310i3−i3-10−33i−i00000000000000000000−2−2i32+2i34ζ22−4ζ2201+i31+i30−3+i33−i3−1−i3−1−i3−2ζ222ζ22−2ζ222ζ224ζ14+2ζ22−4ζ14−2ζ22−1−i3203−i32−3+i321+i320−2ζ14−ζ222ζ14+ζ22ζ22−ζ2200000000000000000000−2+2i32−2i34ζ14−4ζ1401−i31−i303+i3−3−i3−1+i3−1+i3−2ζ142ζ14−2ζ142ζ14−2ζ14−4ζ222ζ14+4ζ22−1+i320−3−i323+i321−i320ζ14+2ζ22−ζ14−2ζ22ζ14−ζ1400000000000000000000
χ1414-44i−4i0-2-202i3−2i322−2i2i−2i2i−232310−i3i3-103−3i−i00000000000000000000−2−2i32+2i34ζ22−4ζ2201+i31+i303−i3−3+i3−1−i3−1−i3−2ζ222ζ22−2ζ222ζ22−4ζ14−2ζ224ζ14+2ζ22−1−i320−3+i323−i321+i3202ζ14+ζ22−2ζ14−ζ22ζ22−ζ2200000000000000000000−2+2i32−2i34ζ14−4ζ1401−i31−i30−3−i33+i3−1+i3−1+i3−2ζ142ζ14−2ζ142ζ142ζ14+4ζ22−2ζ14−4ζ22−1+i3203+i32−3−i321−i320−ζ14−2ζ22ζ14+2ζ22ζ14−ζ1400000000000000000000
χ1424-4−4i4i04-2000-42−4i4i2i−2i00-200020002i−2i00000000000000000000−2−2i32+2i3−4ζ224ζ220−2−2i31+i30002+2i3−1−i3−4ζ224ζ222ζ22−2ζ22001+i3000−1−i30002ζ22−2ζ2200000000000000000000−2+2i32−2i3−4ζ144ζ140−2+2i31−i30002−2i3−1+i3−4ζ144ζ142ζ14−2ζ14001−i3000−1+i30002ζ14−2ζ1400000000000000000000
χ1434-4−4i4i0-2-20−2i32i3222i−2i2i−2i−232310i3−i3-103−3−ii00000000000000000000−2−2i32+2i3−4ζ224ζ2201+i31+i30−3+i33−i3−1−i3−1−i32ζ22−2ζ222ζ22−2ζ22−4ζ14−2ζ224ζ14+2ζ22−1−i3203−i32−3+i321+i3202ζ14+ζ22−2ζ14−ζ22−ζ22ζ2200000000000000000000−2+2i32−2i3−4ζ144ζ1401−i31−i303+i3−3−i3−1+i3−1+i32ζ14−2ζ142ζ14−2ζ142ζ14+4ζ22−2ζ14−4ζ22−1+i320−3−i323+i321−i320−ζ14−2ζ22ζ14+2ζ22−ζ14ζ1400000000000000000000
χ1444-4−4i4i0-2-202i3−2i3222i−2i2i−2i23−2310−i3i3-10−33−ii00000000000000000000−2−2i32+2i3−4ζ224ζ2201+i31+i303−i3−3+i3−1−i3−1−i32ζ22−2ζ222ζ22−2ζ224ζ14+2ζ22−4ζ14−2ζ22−1−i320−3+i323−i321+i320−2ζ14−ζ222ζ14+ζ22−ζ22ζ2200000000000000000000−2+2i32−2i3−4ζ144ζ1401−i31−i30−3−i33+i3−1+i3−1+i32ζ14−2ζ142ζ14−2ζ14−2ζ14−4ζ222ζ14+4ζ22−1+i3203+i32−3−i321−i320ζ14+2ζ22−ζ14−2ζ22−ζ14ζ1400000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.