Finite Group Databasebeta

← Group #11793158

Character table — Group #11793158

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216
size111111112222222222222222222244444444444444444444444444444444444424242424242424241111111122222222222222222222444444444444444444444444444444444444242424242424242411111111222222222222222222224444444444444444444444444444444444442424242424242424
order1222222234444666666612121212121212122244666688888888121212122424242424242424242424242424242422444444366666663121212126666666121212121212121266121266662424242424242424121212122424242424242424242424242424242466121212121212366666663121212126666666121212121212121266121266662424242424242424121212122424242424242424242424242424242466121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ9222222222-2-2-2-22222222-2-2-2-2-2-2-2-222-2-2222200000000-2-2-2-2000000000000000000000000222222222-2-2-2-22222222-2-2-2-2-2-2-2-222-2-2222200000000-2-2-2-2000000000000000000000000222222222-2-2-2-22222222-2-2-2-2-2-2-2-222-2-2222200000000-2-2-2-2000000000000000000000000
χ10222222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-222-2-2-2-2000000002222000000000000000000000000222222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-222-2-2-2-2000000002222000000000000000000000000222222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-222-2-2-2-2000000002222000000000000000000000000
χ1122222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111111111110000000022222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111111111110000000022222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1111111111111111100000000
χ1322222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211112222-2-2-2-21111-1-1-1-1-1-1-1-1111111110000000022222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211112222-2-2-2-21111-1-1-1-1-1-1-1-1111111110000000022222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211112222-2-2-2-21111-1-1-1-1-1-1-1-11111111100000000
χ1422222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-22222111111111111-1-1-1-1-1-1-1-10000000022222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-22222111111111111-1-1-1-1-1-1-1-10000000022222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-22222111111111111-1-1-1-1-1-1-1-100000000
χ1522222222-1-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-1-1-1-10000000011113333−3−3−3−33333−3−3−3−30000000022222222-1-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-1-1-1-10000000011113333−3−3−3−33333−3−3−3−30000000022222222-1-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-1-1-1-10000000011113333−3−3−3−33333−3−3−3−300000000
χ1622222222-1-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-1-1-1-1000000001111−3−3−3−33333−3−3−3−333330000000022222222-1-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-1-1-1-1000000001111−3−3−3−33333−3−3−3−333330000000022222222-1-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-1-1-1-1000000001111−3−3−3−33333−3−3−3−3333300000000
χ1722222222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-222111100000000-1-1-1-13333−3−3−3−3−3−3−3−333330000000022222222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-222111100000000-1-1-1-13333−3−3−3−3−3−3−3−333330000000022222222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-222111100000000-1-1-1-13333−3−3−3−3−3−3−3−3333300000000
χ1822222222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-222111100000000-1-1-1-1−3−3−3−333333333−3−3−3−30000000022222222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-222111100000000-1-1-1-1−3−3−3−333333333−3−3−3−30000000022222222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-222111100000000-1-1-1-1−3−3−3−333333333−3−3−3−300000000
χ19222-2-22-2-222-22-222-2-2-2-2222-2-222-2-20000000000000000000000000000000000000000002i−2i222-2-22-2-222-22-222-2-2-2-2222-2-222-2-20000000000000000000000000000000000000000002i−2i222-2-22-2-222-22-222-2-2-2-2222-2-222-2-20000000000000000000000000000000000000000002i−2i
χ20222-2-22-2-222-22-222-2-2-2-2222-2-222-2-2000000000000000000000000000000000000000000−2i2i222-2-22-2-222-22-222-2-2-2-2222-2-222-2-2000000000000000000000000000000000000000000−2i2i222-2-22-2-222-22-222-2-2-2-2222-2-222-2-2000000000000000000000000000000000000000000−2i2i
χ21222-2-22-2-22-22-2222-2-2-2-22-2-222-2-222000000000000000000000000000000000000002i−2i0000222-2-22-2-22-22-2222-2-2-2-22-2-222-2-222000000000000000000000000000000000000002i−2i0000222-2-22-2-22-22-2222-2-2-2-22-2-222-2-222000000000000000000000000000000000000002i−2i0000
χ22222-2-22-2-22-22-2222-2-2-2-22-2-222-2-22200000000000000000000000000000000000000−2i2i0000222-2-22-2-22-22-2222-2-2-2-22-2-222-2-22200000000000000000000000000000000000000−2i2i0000222-2-22-2-22-22-2222-2-2-2-22-2-222-2-22200000000000000000000000000000000000000−2i2i0000
χ2322-22-2-22-2200002-222-2-2-200000000002i−2i000022−2−2−i2−i2i2i22i2i−2i−2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i20000000022-22-2-22-2200002-222-2-2-200000000002i−2i000022−2−2−i2−i2i2i22i2i−2i−2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i20000000022-22-2-22-2200002-222-2-2-200000000002i−2i000022−2−2−i2−i2i2i22i2i−2i−2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i200000000
χ2422-22-2-22-2200002-222-2-2-200000000002i−2i0000−2−222i2i2−i2−i22i2i−2i−2i−2−222−2−222i2i2−i2−i2i2i2−i2−i20000000022-22-2-22-2200002-222-2-2-200000000002i−2i0000−2−222i2i2−i2−i22i2i−2i−2i−2−222−2−222i2i2−i2−i2i2i2−i2−i20000000022-22-2-22-2200002-222-2-2-200000000002i−2i0000−2−222i2i2−i2−i22i2i−2i−2i−2−222−2−222i2i2−i2−i2i2i2−i2−i200000000
χ2522-22-2-22-2200002-222-2-2-20000000000−2i2i000022−2−2i2i2−i2−i2−2i−2i2i2i22−2−222−2−2i2i2−i2−i2i2i2−i2−i20000000022-22-2-22-2200002-222-2-2-20000000000−2i2i000022−2−2i2i2−i2−i2−2i−2i2i2i22−2−222−2−2i2i2−i2−i2i2i2−i2−i20000000022-22-2-22-2200002-222-2-2-20000000000−2i2i000022−2−2i2i2−i2−i2−2i−2i2i2i22−2−222−2−2i2i2−i2−i2i2i2−i2−i200000000
χ2622-22-2-22-2200002-222-2-2-20000000000−2i2i0000−2−222−i2−i2i2i2−2i−2i2i2i−2−222−2−222−i2−i2i2i2−i2−i2i2i20000000022-22-2-22-2200002-222-2-2-20000000000−2i2i0000−2−222−i2−i2i2i2−2i−2i2i2i−2−222−2−222−i2−i2i2i2−i2−i2i2i20000000022-22-2-22-2200002-222-2-2-20000000000−2i2i0000−2−222−i2−i2i2i2−2i−2i2i2i−2−222−2−222−i2−i2i2i2−i2−i2i2i200000000
χ2722-22-2-22-2-10000-11-1-11113−33−33−33−3002i−2i−i3−i3i3i322−2−2−i2−i2i2i2−i−iiiζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230000000022-22-2-22-2-10000-11-1-11113−33−33−33−3002i−2i−i3−i3i3i322−2−2−i2−i2i2i2−i−iiiζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230000000022-22-2-22-2-10000-11-1-11113−33−33−33−3002i−2i−i3−i3i3i322−2−2−i2−i2i2i2−i−iiiζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ2300000000
χ2822-22-2-22-2-10000-11-1-11113−33−33−33−3002i−2i−i3−i3i3i3−2−222i2i2−i2−i2−i−iii−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ230000000022-22-2-22-2-10000-11-1-11113−33−33−33−3002i−2i−i3−i3i3i3−2−222i2i2−i2−i2−i−iii−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ230000000022-22-2-22-2-10000-11-1-11113−33−33−33−3002i−2i−i3−i3i3i3−2−222i2i2−i2−i2−i−iii−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ2300000000
χ2922-22-2-22-2-10000-11-1-11113−33−33−33−300−2i2ii3i3−i3−i322−2−2i2i2−i2−i2ii−i−iζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ230000000022-22-2-22-2-10000-11-1-11113−33−33−33−300−2i2ii3i3−i3−i322−2−2i2i2−i2−i2ii−i−iζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ230000000022-22-2-22-2-10000-11-1-11113−33−33−33−300−2i2ii3i3−i3−i322−2−2i2i2−i2−i2ii−i−iζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ2300000000
χ3022-22-2-22-2-10000-11-1-11113−33−33−33−300−2i2ii3i3−i3−i3−2−222−i2−i2i2i2ii−i−i−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230000000022-22-2-22-2-10000-11-1-11113−33−33−33−300−2i2ii3i3−i3−i3−2−222−i2−i2i2i2ii−i−i−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230000000022-22-2-22-2-10000-11-1-11113−33−33−33−300−2i2ii3i3−i3−i3−2−222−i2−i2i2i2ii−i−i−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ2300000000
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χ8322222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000
χ8422222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1111111111111111100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i31−i31−i31−i31−i31−i31−i31−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+i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i31+i31+i31+i31+i31+i31+i31+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−i3200000000
χ8522222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211112222-2-2-2-21111-1-1-1-1-1-1-1-11111111100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+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+i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−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−i3200000000
χ8622222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-22222111111111111-1-1-1-1-1-1-1-100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+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−i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−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+i3200000000
χ8722222222-1-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-1-1-1-10000000011113333−3−3−3−33333−3−3−3−300000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i31−i31−i321−i321−i321−i3200000000−1+i32−1+i32−1+i32−1+i32−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ2200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i31+i31+i321+i321+i321+i3200000000−1−i32−1−i32−1−i32−1−i322ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ2200000000
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χ15722222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211112222-2-2-2-21111-1-1-1-1-1-1-1-11111111100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−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−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+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+i3200000000
χ15822222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-22222111111111111-1-1-1-1-1-1-1-100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−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+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+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−i3200000000
χ15922222222-1-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-1-1-1-10000000011113333−3−3−3−33333−3−3−3−300000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i31+i31+i321+i321+i321+i3200000000−1−i32−1−i32−1−i32−1−i322ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ2200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i31−i31−i321−i321−i321−i3200000000−1+i32−1+i32−1+i32−1+i32−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ2200000000
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χ2032-2-2-2222-2-1-2-22211-111-1-11111-1-1-1-10000−i3i3i3−i32-2-220000i3−i3−i3i3-111-1-111-1i3−i3−i3i3−i3i3i3−i300000000−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i321+i31+i3−1−i3−1−i3−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000−3+i323−i323−i32−3+i32−1−i31+i31+i3−1−i300003−i32−3+i32−3+i323−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i323−i32−3+i32−3+i323−i32−3+i323−i323−i32−3+i3200000000−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i321−i31−i3−1+i3−1+i3−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3200003+i32−3−i32−3−i323+i32−1+i31−i31−i3−1+i30000−3−i323+i323+i32−3−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−3−i323+i323+i32−3−i323+i32−3−i32−3−i323+i3200000000
χ2042-2-2-2222-2-1-2-22211-111-1-11111-1-1-1-10000−i3i3i3−i3-222-20000i3−i3−i3i31-1-111-1-11−i3i3i3−i3i3−i3−i3i300000000−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i321+i31+i3−1−i3−1−i3−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000−3+i323−i323−i32−3+i321+i3−1−i3−1−i31+i300003−i32−3+i32−3+i323−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−3+i323−i323−i32−3+i323−i32−3+i32−3+i323−i3200000000−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i321−i31−i3−1+i3−1+i3−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3200003+i32−3−i32−3−i323+i321−i3−1+i3−1+i31−i30000−3−i323+i323+i32−3−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i323+i32−3−i32−3−i323+i32−3−i323+i323+i32−3−i3200000000
χ2052-2-2-2222-2-1-2-22211-111-1-11111-1-1-1-10000i3−i3−i3i32-2-220000−i3i3i3−i3-111-1-111-1−i3i3i3−i3i3−i3−i3i300000000−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i321+i31+i3−1−i3−1−i3−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3200003−i32−3+i32−3+i323−i32−1−i31+i31+i3−1−i30000−3+i323−i323−i32−3+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−3+i323−i323−i32−3+i323−i32−3+i32−3+i323−i3200000000−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i321−i31−i3−1+i3−1+i3−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000−3−i323+i323+i32−3−i32−1+i31−i31−i3−1+i300003+i32−3−i32−3−i323+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i323+i32−3−i32−3−i323+i32−3−i323+i323+i32−3−i3200000000
χ2062-2-2-2222-2-1-2-22211-111-1-11111-1-1-1-10000i3−i3−i3i3-222-20000−i3i3i3−i31-1-111-1-11i3−i3−i3i3−i3i3i3−i300000000−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i321+i31+i3−1−i3−1−i3−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3200003−i32−3+i32−3+i323−i321+i3−1−i3−1−i31+i30000−3+i323−i323−i32−3+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i323−i32−3+i32−3+i323−i32−3+i323−i323−i32−3+i3200000000−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i321−i31−i3−1+i3−1+i3−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000−3−i323+i323+i32−3−i321−i3−1+i3−1+i31−i300003+i32−3−i32−3−i323+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−3−i323+i323+i32−3−i323+i32−3−i32−3−i323+i3200000000
χ207444-4-44-4-4-24-44-4-2-22222-2-2-222-2-22200000000000000000000000000000000000000000000−2−2i3−2−2i3−2−2i32+2i32+2i3−2−2i32+2i32+2i31+i3−2−2i32+2i3−2−2i32+2i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i300000000000000000000000000000000000000000000−2+2i3−2+2i3−2+2i32−2i32−2i3−2+2i32−2i32−2i31−i3−2+2i32−2i3−2+2i32−2i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i300000000000000000000000000000000000000000000
χ208444-4-44-4-4-2-44-44-2-22222-222-2-222-2-200000000000000000000000000000000000000000000−2−2i3−2−2i3−2−2i32+2i32+2i3−2−2i32+2i32+2i31+i32+2i3−2−2i32+2i3−2−2i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i300000000000000000000000000000000000000000000−2+2i3−2+2i3−2+2i32−2i32−2i3−2+2i32−2i32−2i31−i32−2i3−2+2i32−2i3−2+2i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i300000000000000000000000000000000000000000000
χ20944-4-44-4-44400004-4-4-444-40000000000000000000000000000000000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i32+2i32+2i3−2−2i3−2−2i30000−2−2i32+2i32+2i32+2i3−2−2i3−2−2i32+2i30000000000000000000000000000000000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i32−2i32−2i3−2+2i3−2+2i30000−2+2i32−2i32−2i32−2i3−2+2i3−2+2i32−2i30000000000000000000000000000000000000000000000000000
χ21044-4-44-4-44-20000-2222-2-2223−23−232323−23−232300000000000000000000000000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i32+2i32+2i3−2−2i31+i300001+i3−1−i3−1−i3−1−i31+i31+i3−1−i34ζ14+2ζ22−4ζ14−2ζ22−4ζ14−2ζ224ζ14+2ζ224ζ14+2ζ22−4ζ14−2ζ22−4ζ14−2ζ224ζ14+2ζ2200000000000000000000000000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i32−2i32−2i3−2+2i31−i300001−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−2ζ14−4ζ222ζ14+4ζ222ζ14+4ζ22−2ζ14−4ζ22−2ζ14−4ζ222ζ14+4ζ222ζ14+4ζ22−2ζ14−4ζ2200000000000000000000000000000000000000000000
χ21144-4-44-4-44-20000-2222-2-22−232323−23−232323−2300000000000000000000000000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i32+2i32+2i3−2−2i31+i300001+i3−1−i3−1−i3−1−i31+i31+i3−1−i3−4ζ14−2ζ224ζ14+2ζ224ζ14+2ζ22−4ζ14−2ζ22−4ζ14−2ζ224ζ14+2ζ224ζ14+2ζ22−4ζ14−2ζ2200000000000000000000000000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i32−2i32−2i3−2+2i31−i300001−i3−1+i3−1+i3−1+i31−i31−i3−1+i32ζ14+4ζ22−2ζ14−4ζ22−2ζ14−4ζ222ζ14+4ζ222ζ14+4ζ22−2ζ14−4ζ22−2ζ14−4ζ222ζ14+4ζ2200000000000000000000000000000000000000000000
χ2124-4444-4-4-440000-44-44-44-40000000000000000000000000000000000000000000000000000−2−2i32+2i3−2−2i3−2−2i3−2−2i32+2i32+2i32+2i3−2−2i300002+2i3−2−2i32+2i3−2−2i32+2i3−2−2i32+2i30000000000000000000000000000000000000000000000000000−2+2i32−2i3−2+2i3−2+2i3−2+2i32−2i32−2i32−2i3−2+2i300002−2i3−2+2i32−2i3−2+2i32−2i3−2+2i32−2i30000000000000000000000000000000000000000000000000000
χ2134-4444-4-4-4-200002-22-22-2223−23−2323−232323−2300000000000000000000000000000000000000000000−2−2i32+2i3−2−2i3−2−2i3−2−2i32+2i32+2i32+2i31+i30000−1−i31+i3−1−i31+i3−1−i31+i3−1−i34ζ14+2ζ22−4ζ14−2ζ22−4ζ14−2ζ224ζ14+2ζ22−4ζ14−2ζ224ζ14+2ζ224ζ14+2ζ22−4ζ14−2ζ2200000000000000000000000000000000000000000000−2+2i32−2i3−2+2i3−2+2i3−2+2i32−2i32−2i32−2i31−i30000−1+i31−i3−1+i31−i3−1+i31−i3−1+i3−2ζ14−4ζ222ζ14+4ζ222ζ14+4ζ22−2ζ14−4ζ222ζ14+4ζ22−2ζ14−4ζ22−2ζ14−4ζ222ζ14+4ζ2200000000000000000000000000000000000000000000
χ2144-4444-4-4-4-200002-22-22-22−232323−2323−23−232300000000000000000000000000000000000000000000−2−2i32+2i3−2−2i3−2−2i3−2−2i32+2i32+2i32+2i31+i30000−1−i31+i3−1−i31+i3−1−i31+i3−1−i3−4ζ14−2ζ224ζ14+2ζ224ζ14+2ζ22−4ζ14−2ζ224ζ14+2ζ22−4ζ14−2ζ22−4ζ14−2ζ224ζ14+2ζ2200000000000000000000000000000000000000000000−2+2i32−2i3−2+2i3−2+2i3−2+2i32−2i32−2i32−2i31−i30000−1+i31−i3−1+i31−i3−1+i31−i3−1+i32ζ14+4ζ22−2ζ14−4ζ22−2ζ14−4ζ222ζ14+4ζ22−2ζ14−4ζ222ζ14+4ζ222ζ14+4ζ22−2ζ14−4ζ2200000000000000000000000000000000000000000000
χ2154-4-44-44-44-24-4-44222-2-22-2-2-22222-2-200000000000000000000000000000000000000000000−2−2i32+2i32+2i3−2−2i32+2i3−2−2i32+2i3−2−2i31+i3−2−2i32+2i32+2i3−2−2i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i300000000000000000000000000000000000000000000−2+2i32−2i32−2i3−2+2i32−2i3−2+2i32−2i3−2+2i31−i3−2+2i32−2i32−2i3−2+2i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i300000000000000000000000000000000000000000000
χ2164-4-44-44-44-2-444-4222-2-22-222-2-2-2-22200000000000000000000000000000000000000000000−2−2i32+2i32+2i3−2−2i32+2i3−2−2i32+2i3−2−2i31+i32+2i3−2−2i3−2−2i32+2i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i300000000000000000000000000000000000000000000−2+2i32−2i32−2i3−2+2i32−2i3−2+2i32−2i3−2+2i31−i32−2i3−2+2i3−2+2i32−2i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i300000000000000000000000000000000000000000000

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