Finite Group Databasebeta

← Group #13159283

Character table — Group #13159283

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size111122222222222222222222224444444444444444444444444444444488888888888888888888888888888888121212121212121212121212121212121212181818181818242424242424242424363636363636363636108108216
order12223333344666666666666666333344666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212128824242424242424242424242424242424441212121241212121212121212444121212121212884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111111-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111111111111111111111111-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1
χ6111111111111111111111111111111-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-11
χ7111111111111111111111111111111-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1111-1-1-1-1-1-11
χ8111111111111111111111111111111-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1111111-1
χ9222222222-2-2222222222222222222200222222222222-2-2-2-20000-2-2-2-2-2-200000000-2-2-2-2-2-2-2-2000000000000000000000000000000000022222200000000000-2-2-20000000
χ10222222222-2-2222222222222222222200222222222222-2-2-2-20000-2-2-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000000000000000000000-2-2-2-2-2-2000000000002220000000
χ1122222222-122222222222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000022-1-1-1-1000000000222-1-1-1-1-1-1000
χ1222222222-122222222222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-21111000000000-2-2-2111111000
χ1322222222-122222222222222-1-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-122221111-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000000000000022-1-1-1-1000000000-2-22-1-11111000
χ1422222222-122222222222222-1-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-122221111-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111000000000000000000-2-2111100000000022-211-1-1-1-1000
χ1522222222-1-2-2222222222222-1-1-1-1-1-1-100-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2−i3−i3i3i311-2-2-2-20000000011111111−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i300000000000000000022-1-1-1-100000000000-211−i3−i3i3i3000
χ1622222222-1-2-2222222222222-1-1-1-1-1-1-100-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2−i3−i3i3i311-2-2-2-20000000011111111−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3000000000000000000-2-21111000000000002-1-1i3i3−i3−i3000
χ1722222222-1-2-2222222222222-1-1-1-1-1-1-100-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2i3i3−i3−i311-2-2-2-20000000011111111i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i300000000000000000022-1-1-1-100000000000-211i3i3−i3−i3000
χ1822222222-1-2-2222222222222-1-1-1-1-1-1-100-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2i3i3−i3−i311-2-2-2-20000000011111111i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3000000000000000000-2-21111000000000002-1-1−i3−i3i3i3000
χ1922222-1-1-12222-1-1-12-1-1-12-1-1-12222-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-12222222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1000000222-1-1-1-1-1-1000000000000
χ2022222-1-1-12222-1-1-12-1-1-12-1-1-12222-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-12222222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2111111111111000000-2-2-2111111000000000000
χ2122222-1-1-12222-1-1-12-1-1-12-1-1-12222-1-1-1-2-22-1-1-12-1-1-12-1-1-12-1-1-1-2-2-2-2222-1-1-1-2-211111122-1-1-1-1-1-1-2-2111111-2-2111111222222-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2111111000000000000
χ2222222-1-1-12222-1-1-12-1-1-12-1-1-12222-1-1-1-2-22-1-1-12-1-1-12-1-1-12-1-1-1-2-2-2-2222-1-1-1-2-211111122-1-1-1-1-1-1-2-2111111-2-2111111-2-2-2-2-2-2111111111111000000222-1-1-1-1-1-1000000000000
χ232222-12-1-1222-12-1-1-12-1-1-12-1-1222-12-1-122-12-1-1-12-1-1-12-1-1-12-1-1222222-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-10000002-1-122-1-1-1-1000000000000
χ242222-12-1-1222-12-1-1-12-1-1-12-1-1222-12-1-122-12-1-1-12-1-1-12-1-1-12-1-1222222-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-21111-2-2-2-211111111000000-211-2-21111000000000000
χ252222-12-1-1222-12-1-1-12-1-1-12-1-1222-12-1-1-2-2-12-1-1-12-1-1-12-1-1-12-1-1-2-2-2-222-12-1-111-2-21111-1-122-1-1-1-111-2-2111111-2-2111122-1-1-1-12222-1-1-1-1-1-1-1-1000000-211-2-21111000000000000
χ262222-12-1-1222-12-1-1-12-1-1-12-1-1222-12-1-1-2-2-12-1-1-12-1-1-12-1-1-12-1-1-2-2-2-222-12-1-111-2-21111-1-122-1-1-1-111-2-2111111-2-21111-2-21111-2-2-2-2111111110000002-1-122-1-1-1-1000000000000
χ272222-1-12-1222-1-12-1-1-12-1-1-12-1222-1-12-122-1-12-1-1-12-1-1-12-1-1-12-1222222-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-10000002-1-1-1-122-1-1000000000000
χ282222-1-12-1222-1-12-1-1-12-1-1-12-1222-1-12-122-1-12-1-1-12-1-1-12-1-1-12-1222222-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-2-211111111-2-2-2-21111000000-21111-2-211000000000000
χ292222-1-12-1222-1-12-1-1-12-1-1-12-1222-1-12-1-2-2-1-12-1-1-12-1-1-12-1-1-12-1-2-2-2-222-1-12-11111-2-211-1-1-1-122-1-11111-2-2111111-2-21122-1-1-1-1-1-1-1-12222-1-1-1-1000000-21111-2-211000000000000
χ302222-1-12-1222-1-12-1-1-12-1-1-12-1222-1-12-1-2-2-1-12-1-1-12-1-1-12-1-1-12-1-2-2-2-222-1-12-11111-2-211-1-1-1-122-1-11111-2-2111111-2-211-2-211111111-2-2-2-211110000002-1-1-1-122-1-1000000000000
χ312222-1-1-12222-1-1-12-1-1-12-1-1-12222-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-12222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000002-1-1-1-1-1-122000000000000
χ322222-1-1-12222-1-1-12-1-1-12-1-1-12222-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-12222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-2111111111111-2-2-2-2000000-2111111-2-2000000000000
χ332222-1-1-12222-1-1-12-1-1-12-1-1-12222-1-1-12-2-2-1-1-12-1-1-12-1-1-12-1-1-12-2-2-2-222-1-1-12111111-2-2-1-1-1-1-1-122111111-2-2111111-2-222-1-1-1-1-1-1-1-1-1-1-1-12222000000-2111111-2-2000000000000
χ342222-1-1-12222-1-1-12-1-1-12-1-1-12222-1-1-12-2-2-1-1-12-1-1-12-1-1-12-1-1-12-2-2-2-222-1-1-12111111-2-2-1-1-1-1-1-122111111-2-2111111-2-2-2-2111111111111-2-2-2-20000002-1-1-1-1-1-122000000000000
χ3522-2-222222002222-2-2-2-2-2-2-2-22-2-22222002222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000002−222−2−222−2−222−2−222−2−22-222-2-20000000000000000002−20
χ3622-2-222222002222-2-2-2-2-2-2-2-22-2-22222002222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000002−222−2−222−2−222−2−222−2−2-22-2-222000000000000000000−220
χ3722-2-222222002222-2-2-2-2-2-2-2-22-2-22222002222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000−22−2−222−2−222−2−222−2−2222-222-2-2000000000000000000−220
χ3822-2-222222002222-2-2-2-2-2-2-2-22-2-22222002222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000−22−2−222−2−222−2−222−2−222-22-2-2220000000000000000002−20
χ392-22-2222222-2-2-2-2-22222-2-2-2-2-2-22222200-2-2-2-22222-2-2-2-2222200002-2-2-2-2-2000000002-22-22-22-200000000000000000000000000000000000000000000000002-20002-22-2000
χ402-22-2222222-2-2-2-2-22222-2-2-2-2-2-22222200-2-2-2-22222-2-2-2-2222200002-2-2-2-2-2000000002-22-22-22-20000000000000000000000000000000000000000000000000-22000-22-22000
χ412-22-222222-22-2-2-2-22222-2-2-2-2-2-2222222i−2i-2-2-2-22222-2-2-2-2-2-2-2-22i−2i2i−2i-2222222i−2i2i−2i2i−2i2i−2i-22-22-22-222i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000
χ422-22-222222-22-2-2-2-22222-2-2-2-2-2-222222−2i2i-2-2-2-22222-2-2-2-2-2-2-2-2−2i2i−2i2i-222222−2i2i−2i2i−2i2i−2i2i-22-22-22-22−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000
χ432-22-22222-12-2-2-2-2-22222-2-2-2-211-1-1-1-1-1001111-1-1-1-1111122223−3−33-11-2-2-2-200000000-11-11-11-113−33−33−33−3−33−33−33−33000000000000000000003−33−30000000002-203−3-11-11000
χ442-22-22222-12-2-2-2-2-22222-2-2-2-211-1-1-1-1-1001111-1-1-1-1111122223−3−33-11-2-2-2-200000000-11-11-11-113−33−33−33−3−33−33−33−3300000000000000000000−33−33000000000-220−331-11-1000
χ452-22-22222-12-2-2-2-2-22222-2-2-2-211-1-1-1-1-1001111-1-1-1-111112222−333−3-11-2-2-2-200000000-11-11-11-11−33−33−33−333−33−33−33−3000000000000000000003−33−3000000000-2203−31-11-1000
χ462-22-22222-12-2-2-2-2-22222-2-2-2-211-1-1-1-1-1001111-1-1-1-111112222−333−3-11-2-2-2-200000000-11-11-11-11−33−33−33−333−33−33−33−300000000000000000000−33−330000000002-20−33-11-11000
χ472-22-22222-1-22-2-2-2-22222-2-2-2-211-1-1-1-1-12i−2i1111-1-1-1-11111-2-2-2-2−ii−ii1-122222i−2i2i−2i2i−2i2i−2i1-11-11-11-1−ii−ii−ii−ii−ii−ii−ii−ii000000000000000000003−33−3000000000000−33−i3i3i3−i3000
χ482-22-22222-1-22-2-2-2-22222-2-2-2-211-1-1-1-1-12i−2i1111-1-1-1-11111-2-2-2-2−ii−ii1-122222i−2i2i−2i2i−2i2i−2i1-11-11-11-1−ii−ii−ii−ii−ii−ii−ii−ii00000000000000000000−33−330000000000003−3i3−i3−i3i3000
χ492-22-22222-1-22-2-2-2-22222-2-2-2-211-1-1-1-1-1−2i2i1111-1-1-1-11111-2-2-2-2i−ii−i1-12222−2i2i−2i2i−2i2i−2i2i1-11-11-11-1i−ii−ii−ii−ii−ii−ii−ii−i000000000000000000003−33−3000000000000−33i3−i3−i3i3000
χ502-22-22222-1-22-2-2-2-22222-2-2-2-211-1-1-1-1-1−2i2i1111-1-1-1-11111-2-2-2-2i−ii−i1-12222−2i2i−2i2i−2i2i−2i2i1-11-11-11-1i−ii−ii−ii−ii−ii−ii−ii−i00000000000000000000−33−330000000000003−3−i3i3i3−i3000
χ512-22-22-1-1-12-22-21112-1-1-1-2111-2-222-1-1-12i−2i-21112-1-1-1-2111-21112i−2i2i−2i-222-1-1-12i−2i−ii−ii−ii-221-11-11-12i−2i−ii−ii−ii2i−2i−ii−ii−ii000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000000003−33−33−3000000000000
χ522-22-22-1-1-12-22-21112-1-1-1-2111-2-222-1-1-12i−2i-21112-1-1-1-2111-21112i−2i2i−2i-222-1-1-12i−2i−ii−ii−ii-221-11-11-12i−2i−ii−ii−ii2i−2i−ii−ii−ii000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000000−33−33−33000000000000
χ532-22-22-1-1-12-22-21112-1-1-1-2111-2-222-1-1-1−2i2i-21112-1-1-1-2111-2111−2i2i−2i2i-222-1-1-1−2i2ii−ii−ii−i-221-11-11-1−2i2ii−ii−ii−i−2i2ii−ii−ii−i000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000000−33−33−33000000000000
χ542-22-22-1-1-12-22-21112-1-1-1-2111-2-222-1-1-1−2i2i-21112-1-1-1-2111-2111−2i2i−2i2i-222-1-1-1−2i2ii−ii−ii−i-221-11-11-1−2i2ii−ii−ii−i−2i2ii−ii−ii−i000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000000003−33−33−3000000000000
χ552-22-2-12-1-12-221-211-12-1-11-211-2-22-12-1-12i−2i1-211-12-1-11-2111-2112i−2i2i−2i-22-12-1-1−ii2i−2i−ii−ii1-1-221-11-1−ii2i−2i−ii−ii−ii2i−2i−ii−ii00−i3i3−i3i30000−i3i3−i3i3i3−i3i3−i300000003−3003−3−33000000000000
χ562-22-2-12-1-12-221-211-12-1-11-211-2-22-12-1-12i−2i1-211-12-1-11-2111-2112i−2i2i−2i-22-12-1-1−ii2i−2i−ii−ii1-1-221-11-1−ii2i−2i−ii−ii−ii2i−2i−ii−ii00i3−i3i3−i30000i3−i3i3−i3−i3i3−i3i30000000−3300−333−3000000000000
χ572-22-2-12-1-12-221-211-12-1-11-211-2-22-12-1-1−2i2i1-211-12-1-11-2111-211−2i2i−2i2i-22-12-1-1i−i−2i2ii−ii−i1-1-221-11-1i−i−2i2ii−ii−ii−i−2i2ii−ii−i00−i3i3−i3i30000−i3i3−i3i3i3−i3i3−i30000000−3300−333−3000000000000
χ582-22-2-12-1-12-221-211-12-1-11-211-2-22-12-1-1−2i2i1-211-12-1-11-2111-211−2i2i−2i2i-22-12-1-1i−i−2i2ii−ii−i1-1-221-11-1i−i−2i2ii−ii−ii−i−2i2ii−ii−i00i3−i3i3−i30000i3−i3i3−i3−i3i3−i3i300000003−3003−3−33000000000000
χ592-22-2-1-12-12-2211-21-1-12-111-21-2-22-1-12-12i−2i11-21-1-12-111-2111-212i−2i2i−2i-22-1-12-1−ii−ii2i−2i−ii1-11-1-221-1−ii−ii2i−2i−ii−ii−ii2i−2i−ii00−i3i3−i3i3i3−i3i3−i30000−i3i3−i3i300000003−3−33003−3000000000000
χ602-22-2-1-12-12-2211-21-1-12-111-21-2-22-1-12-12i−2i11-21-1-12-111-2111-212i−2i2i−2i-22-1-12-1−ii−ii2i−2i−ii1-11-1-221-1−ii−ii2i−2i−ii−ii−ii2i−2i−ii00i3−i3i3−i3−i3i3−i3i30000i3−i3i3−i30000000−333−300−33000000000000
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χ7044444-2-2-2-2-4-44-2-2-24-2-2-24-2-2-2-2-2-2-211100-2111-2111-2111-4222−2i3−2i32i32i322-42220000000022-1-1-1-1-1-1−2i3−2i3i3i3i3i3i3i32i32i3−i3−i3−i3−i3−i3−i3000000000000000000000000000000000000000000000
χ7144444-2-2-2-2-4-44-2-2-24-2-2-24-2-2-2-2-2-2-211100-2111-2111-2111-42222i32i3−2i3−2i322-42220000000022-1-1-1-1-1-12i32i3−i3−i3−i3−i3−i3−i3−2i3−2i3i3i3i3i3i3i3000000000000000000000000000000000000000000000
χ724444-24-2-24-4-4-24-2-2-24-2-2-24-2-2444-24-2-200-24-2-2-24-2-2-24-2-22-4220000-4-42-4220000000022-4-422220000000000000000000000000000000000000000000000000000000000000
χ734444-24-2-2-244-24-2-2-24-2-2-24-2-2-2-2-21-211441-2111-2111-211-24-2-2-2-2-2-2-2-2-24-2-2-2-244-2-2-2-211-2-2111111-2-2111111-2-21111000000000000000000000000000000000000000000000
χ744444-24-2-2-244-24-2-2-24-2-2-24-2-2-2-2-21-211-4-41-2111-2111-211-24-2-22222-2-2-24-2-222-4-4222211-2-21111-1-122-1-1-1-1-1-122-1-1-1-1000000000000000000000000000000000000000000000
χ754444-24-2-2-2-4-4-24-2-2-24-2-2-24-2-2-2-2-21-211001-2111-2111-2112-422−2i3−2i32i32i3222-42200000000-1-122-1-1-1-1i3i3−2i3−2i3i3i3i3i3−i3−i32i32i3−i3−i3−i3−i3000000000000000000000000000000000000000000000
χ764444-24-2-2-2-4-4-24-2-2-24-2-2-24-2-2-2-2-21-211001-2111-2111-2112-4222i32i3−2i3−2i3222-42200000000-1-122-1-1-1-1−i3−i32i32i3−i3−i3−i3−i3i3i3−2i3−2i3i3i3i3i3000000000000000000000000000000000000000000000
χ774444-2-24-24-4-4-2-24-2-2-24-2-2-24-2444-2-24-200-2-24-2-2-24-2-2-24-222-420000-4-422-42000000002222-4-4220000000000000000000000000000000000000000000000000000000000000
χ784444-2-24-2-244-2-24-2-2-24-2-2-24-2-2-2-211-214411-2111-2111-21-2-24-2-2-2-2-2-2-2-2-24-2-2-2-2-244-2-21111-2-2111111-2-2111111-2-211000000000000000000000000000000000000000000000
χ794444-2-24-2-244-2-24-2-2-24-2-2-24-2-2-2-211-21-4-411-2111-2111-21-2-24-22222-2-2-2-24-22222-4-4221111-2-211-1-1-1-122-1-1-1-1-1-122-1-1000000000000000000000000000000000000000000000
χ804444-2-24-2-2-4-4-2-24-2-2-24-2-2-24-2-2-2-211-210011-2111-2111-2122-42−2i3−2i32i32i32222-4200000000-1-1-1-122-1-1i3i3i3i3−2i3−2i3i3i3−i3−i3−i3−i32i32i3−i3−i3000000000000000000000000000000000000000000000
χ814444-2-24-2-2-4-4-2-24-2-2-24-2-2-24-2-2-2-211-210011-2111-2111-2122-422i32i3−2i3−2i32222-4200000000-1-1-1-122-1-1−i3−i3−i3−i32i32i3−i3−i3i3i3i3i3−2i3−2i3i3i3000000000000000000000000000000000000000000000
χ824444-2-2-244-4-4-2-2-24-2-2-24-2-2-24444-2-2-2400-2-2-24-2-2-24-2-2-24222-40000-4-4222-400000000222222-4-40000000000000000000000000000000000000000000000000000000000000
χ834444-2-2-24-244-2-2-24-2-2-24-2-2-24-2-2-2111-244111-2111-2111-2-2-2-24-2-2-2-2-2-2-2-2-24-2-2-2-2-2-244111111-2-2111111-2-2111111-2-2000000000000000000000000000000000000000000000
χ844444-2-2-24-244-2-2-24-2-2-24-2-2-24-2-2-2111-2-4-4111-2111-2111-2-2-2-242222-2-2-2-2-24222222-4-4111111-2-2-1-1-1-1-1-122-1-1-1-1-1-122000000000000000000000000000000000000000000000
χ854444-2-2-24-2-4-4-2-2-24-2-2-24-2-2-24-2-2-2111-200111-2111-2111-2222-4−2i3−2i32i32i322222-400000000-1-1-1-1-1-122i3i3i3i3i3i3−2i3−2i3−i3−i3−i3−i3−i3−i32i32i3000000000000000000000000000000000000000000000
χ864444-2-2-24-2-4-4-2-2-24-2-2-24-2-2-24-2-2-2111-200111-2111-2111-2222-42i32i3−2i3−2i322222-400000000-1-1-1-1-1-122−i3−i3−i3−i3−i3−i32i32i3i3i3i3i3i3i3−2i3−2i3000000000000000000000000000000000000000000000
χ8744-4-44444-2004444-4-4-4-4-4-4-4-4-222-2-2-2-200-2-2-2-22222222200000000000000000000000000000000000000000000000000000000000000004-4-2-222000000000000000000000
χ8844-4-44444-2004444-4-4-4-4-4-4-4-4-222-2-2-2-200-2-2-2-2222222220000000000000000000000000000000000000000000000000000000000000000-4422-2-2000000000000000000000
χ8944-4-44-2-2-24004-2-2-2-4222-42224-4-44-2-2-2004-2-2-2-4222-4222000000000000000000000000000000000000000000000022−222222−22−22−2−222−2−222−2−222000000000000000000000000000
χ9044-4-44-2-2-24004-2-2-2-4222-42224-4-44-2-2-2004-2-2-2-4222-42220000000000000000000000000000000000000000000000−2222−22−22222222−2−222−2−222−2−2000000000000000000000000000
χ9144-4-4-24-2-2400-24-2-22-4222-4224-4-4-24-2-200-24-2-22-4222-422000000000000000000000000000000000000000000000022−22−2−2222222−22−22−2−222−2−222000000000000000000000000000
χ9244-4-4-24-2-2400-24-2-22-4222-4224-4-4-24-2-200-24-2-22-4222-4220000000000000000000000000000000000000000000000−222222−2−2−22−22222222−2−222−2−2000000000000000000000000000
χ9344-4-4-2-24-2400-2-24-222-4222-424-4-4-2-24-200-2-24-222-4222-42000000000000000000000000000000000000000000000022−22−2−222−2−2222222−22−22−2−222000000000000000000000000000
χ9444-4-4-2-24-2400-2-24-222-4222-424-4-4-2-24-200-2-24-222-4222-420000000000000000000000000000000000000000000000−222222−2−222−2−2−22−22222222−2−2000000000000000000000000000
χ9544-4-4-2-2-24400-2-2-24222-4222-44-4-4-2-2-2400-2-2-24222-4222-4000000000000000000000000000000000000000000000022−22−2−222−2−222−2−2222222−22−22000000000000000000000000000
χ9644-4-4-2-2-24400-2-2-24222-4222-44-4-4-2-2-2400-2-2-24222-4222-40000000000000000000000000000000000000000000000−222222−2−222−2−222−2−2−22−222222000000000000000000000000000
χ974-44-44-2-2-244-4-42224-2-2-2-4222-4-444-2-2-200-42224-2-2-2-42224-2-2-200004-4-4222000000004-4-22-22-220000000000000000000000000000000000000000000000000000000000000
χ984-44-44-2-2-2-24-4-42224-2-2-2-422222-2-2111002-1-1-1-21112-1-1-14-2-2-223−23−2323-22-422200000000-221-11-11-123−23−33−33−33−23233−33−33−3000000000000000000000000000000000000000000000
χ994-44-44-2-2-2-24-4-42224-2-2-2-422222-2-2111002-1-1-1-21112-1-1-14-2-2-2−232323−23-22-422200000000-221-11-11-1−23233−33−33−323−23−33−33−33000000000000000000000000000000000000000000000
χ1004-44-44-2-2-2-2-44-42224-2-2-2-422222-2-21114i−4i2-1-1-1-21112-1-1-1-4222−2i2i−2i2i2-24-2-2-24i−4i−2i2i−2i2i−2i2i2-2-11-11-11−2i2ii−ii−ii−i−2i2ii−ii−ii−i000000000000000000000000000000000000000000000
χ1014-44-44-2-2-2-2-44-42224-2-2-2-422222-2-2111−4i4i2-1-1-1-21112-1-1-1-42222i−2i2i−2i2-24-2-2-2−4i4i2i−2i2i−2i2i−2i2-2-11-11-112i−2i−ii−ii−ii2i−2i−ii−ii−ii000000000000000000000000000000000000000000000
χ1024-44-4-24-2-244-42-422-24-2-22-422-4-44-24-2-2002-422-24-2-22-422-24-2-200004-42-42200000000-224-4-22-220000000000000000000000000000000000000000000000000000000000000
χ1034-44-4-24-2-2-24-42-422-24-2-22-42222-21-21100-12-1-11-211-12-1-1-24-2-223−23−2323-222-422000000001-1-221-11-1−3323−23−33−333−3−23233−33−3000000000000000000000000000000000000000000000
χ1044-44-4-24-2-2-24-42-422-24-2-22-42222-21-21100-12-1-11-211-12-1-1-24-2-2−232323−23-222-422000000001-1-221-11-13−3−23233−33−3−3323−23−33−33000000000000000000000000000000000000000000000
χ1054-44-4-24-2-2-2-442-422-24-2-22-42222-21-2114i−4i-12-1-11-211-12-1-12-422−2i2i−2i2i2-2-24-2-2−2i2i4i−4i−2i2i−2i2i-112-2-11-11i−i−2i2ii−ii−ii−i−2i2ii−ii−i000000000000000000000000000000000000000000000
χ1064-44-4-24-2-2-2-442-422-24-2-22-42222-21-211−4i4i-12-1-11-211-12-1-12-4222i−2i2i−2i2-2-24-2-22i−2i−4i4i2i−2i2i−2i-112-2-11-11−ii2i−2i−ii−ii−ii2i−2i−ii−ii000000000000000000000000000000000000000000000
χ1074-44-4-2-24-244-422-42-2-24-222-42-4-44-2-24-20022-42-2-24-222-42-2-24-200004-422-4200000000-22-224-4-220000000000000000000000000000000000000000000000000000000000000
χ1084-44-4-2-24-2-24-422-42-2-24-222-4222-211-2100-1-12-111-21-1-12-1-2-24-223−23−2323-2222-42000000001-11-1-221-1−33−3323−23−333−33−3−23233−3000000000000000000000000000000000000000000000
χ1094-44-4-2-24-2-24-422-42-2-24-222-4222-211-2100-1-12-111-21-1-12-1-2-24-2−232323−23-2222-42000000001-11-1-221-13−33−3−23233−3−33−3323−23−33000000000000000000000000000000000000000000000
χ1104-44-4-2-24-2-2-4422-42-2-24-222-4222-211-214i−4i-1-12-111-21-1-12-122-42−2i2i−2i2i2-2-2-24-2−2i2i−2i2i4i−4i−2i2i-11-112-2-11i−ii−i−2i2ii−ii−ii−i−2i2ii−i000000000000000000000000000000000000000000000
χ1114-44-4-2-24-2-2-4422-42-2-24-222-4222-211-21−4i4i-1-12-111-21-1-12-122-422i−2i2i−2i2-2-2-24-22i−2i2i−2i−4i4i2i−2i-11-112-2-11−ii−ii2i−2i−ii−ii−ii2i−2i−ii000000000000000000000000000000000000000000000
χ1124-44-4-2-2-2444-4222-4-2-2-24222-4-4-44-2-2-2400222-4-2-2-24222-4-2-2-2400004-4222-400000000-22-22-224-40000000000000000000000000000000000000000000000000000000000000
χ1134-44-4-2-2-24-24-4222-4-2-2-24222-422-2111-200-1-1-12111-2-1-1-12-2-2-2423−23−2323-22222-4000000001-11-11-1-22−33−33−3323−233−33−33−3−2323000000000000000000000000000000000000000000000
χ1144-44-4-2-2-24-24-4222-4-2-2-24222-422-2111-200-1-1-12111-2-1-1-12-2-2-24−232323−23-22222-4000000001-11-11-1-223−33−33−3−2323−33−33−3323−23000000000000000000000000000000000000000000000
χ1154-44-4-2-2-24-2-44222-4-2-2-24222-422-2111-24i−4i-1-1-12111-2-1-1-12222-4−2i2i−2i2i2-2-2-2-24−2i2i−2i2i−2i2i4i−4i-11-11-112-2i−ii−ii−i−2i2ii−ii−ii−i−2i2i000000000000000000000000000000000000000000000
χ1164-44-4-2-2-24-2-44222-4-2-2-24222-422-2111-2−4i4i-1-1-12111-2-1-1-12222-42i−2i2i−2i2-2-2-2-242i−2i2i−2i2i−2i−4i4i-11-11-112-2−ii−ii−ii2i−2i−ii−ii−ii2i−2i000000000000000000000000000000000000000000000
χ1174-4-444444400-4-4-4-4-4-4-4-44444-44-4444400-4-4-4-4-4-4-4-444440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1184-4-444444-200-4-4-4-4-4-4-4-444442-22-2-2-2-20022222222-2-2-2-200000000000000000000000000000000000000000000000000000000000000000023−23−2323000000000000000000000
χ1194-4-444444-200-4-4-4-4-4-4-4-444442-22-2-2-2-20022222222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000−232323−23000000000000000000000
χ1204-4-444-2-2-2400-4222-42224-2-2-2-44-44-2-2-200-4222-42224-2-2-20000000000000000000000000000000000000000000000000000i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6000000000000000000000000000
χ1214-4-444-2-2-2400-4222-42224-2-2-2-44-44-2-2-200-4222-42224-2-2-20000000000000000000000000000000000000000000000000000−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6000000000000000000000000000
χ1224-4-44-24-2-24002-4222-422-24-2-2-44-4-24-2-2002-4222-422-24-2-2000000000000000000000000000000000000000000000000i6−i6−i6i60000i6−i6−i6i6−i6i6i6−i6000000000000000000000000000
χ1234-4-44-24-2-24002-4222-422-24-2-2-44-4-24-2-2002-4222-422-24-2-2000000000000000000000000000000000000000000000000−i6i6i6−i60000−i6i6i6−i6i6−i6−i6i6000000000000000000000000000
χ1244-4-44-2-24-240022-4222-42-2-24-2-44-4-2-24-20022-4222-42-2-24-2000000000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i60000i6−i6−i6i6000000000000000000000000000
χ1254-4-44-2-24-240022-4222-42-2-24-2-44-4-2-24-20022-4222-42-2-24-2000000000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i60000−i6i6i6−i6000000000000000000000000000
χ1264-4-44-2-2-24400222-4222-4-2-2-24-44-4-2-2-2400222-4222-4-2-2-24000000000000000000000000000000000000000000000000i6−i6−i6i6i6−i6−i6i6−i6i6i6−i60000000000000000000000000000000
χ1274-4-44-2-2-24400222-4222-4-2-2-24-44-4-2-2-2400222-4222-4-2-2-24000000000000000000000000000000000000000000000000−i6i6i6−i6−i6i6i6−i6i6−i6−i6i60000000000000000000000000000000
χ12888-8-88-4-4-4-4008-4-4-4-8444-8444-444-422200-42224-2-2-24-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12988-8-8-48-4-4-400-48-4-44-8444-844-4442-422002-422-24-2-2-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13088-8-8-4-48-4-400-4-48-444-8444-84-44422-420022-42-2-24-2-2-24-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13188-8-8-4-4-48-400-4-4-48444-8444-8-444222-400222-4-2-2-24-2-2-240000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-8-888-4-4-4-400-8444-84448-4-4-44-44-4222004-2-2-24-2-2-2-42220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1338-8-88-48-4-4-4004-8444-844-48-4-44-442-42200-24-2-2-24-2-22-4220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1348-8-88-4-48-4-40044-8444-84-4-48-44-4422-4200-2-24-2-2-24-222-420000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1358-8-88-4-4-48-400444-8444-8-4-4-484-44222-400-2-2-24-2-2-24222-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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