Finite Group Databasebeta

← Group #13144755

Character table — Group #13144755

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size111111666666669999991111116666666699999922222212121212121212121818181818182222221212121212121212181818181818222222121212121212121218181818181844444424242424242424243636363636364444442424242424242424363636363636
order123366333366664412121212226666666666664412121212441212121212121212121212124412121212882424242424242424242424248824242424882424242424242424242424248824242424441212121212121212121212124412121212441212121212121212121212124412121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ31-111-1-11111-1-1-1-1i−iii−i−i1-111-1-11111-1-1-1-1i−iii−i−i1-111-1-11111-1-1-1-1i−iii−i−i1-111-1-11111-1-1-1-1i−iii−i−i1-111-1-11111-1-1-1-1i−iii−i−i1-111-1-11111-1-1-1-1i−iii−i−i1-111-1-11111-1-1-1-1i−iii−i−i
χ41-111-1-11111-1-1-1-1−ii−i−iii1-111-1-11111-1-1-1-1−ii−i−iii1-111-1-11111-1-1-1-1−ii−i−iii1-111-1-11111-1-1-1-1−ii−i−iii1-111-1-11111-1-1-1-1−ii−i−iii1-111-1-11111-1-1-1-1−ii−i−iii1-111-1-11111-1-1-1-1−ii−i−iii
χ52222222-1-1-12-1-1-10000002222222-1-1-12-1-1-10000002222222-1-1-12-1-1-10000002222222-1-1-12-1-1-10000002222222-1-1-12-1-1-10000002222222-1-1-12-1-1-10000002222222-1-1-12-1-1-1000000
χ6222222-12-1-1-12-1-1000000222222-12-1-1-12-1-1000000222222-12-1-1-12-1-1000000222222-12-1-1-12-1-1000000222222-12-1-1-12-1-1000000222222-12-1-1-12-1-1000000222222-12-1-1-12-1-1000000
χ7222222-1-12-1-1-12-1000000222222-1-12-1-1-12-1000000222222-1-12-1-1-12-1000000222222-1-12-1-1-12-1000000222222-1-12-1-1-12-1000000222222-1-12-1-1-12-1000000222222-1-12-1-1-12-1000000
χ8222222-1-1-12-1-1-12000000222222-1-1-12-1-1-12000000222222-1-1-12-1-1-12000000222222-1-1-12-1-1-12000000222222-1-1-12-1-1-12000000222222-1-1-12-1-1-12000000222222-1-1-12-1-1-12000000
χ92-222-2-22-1-1-1-21110000002-222-2-22-1-1-1-21110000002-222-2-22-1-1-1-21110000002-222-2-22-1-1-1-21110000002-222-2-22-1-1-1-21110000002-222-2-22-1-1-1-21110000002-222-2-22-1-1-1-2111000000
χ102-222-2-2-12-1-11-2110000002-222-2-2-12-1-11-2110000002-222-2-2-12-1-11-2110000002-222-2-2-12-1-11-2110000002-222-2-2-12-1-11-2110000002-222-2-2-12-1-11-2110000002-222-2-2-12-1-11-211000000
χ112-222-2-2-1-12-111-210000002-222-2-2-1-12-111-210000002-222-2-2-1-12-111-210000002-222-2-2-1-12-111-210000002-222-2-2-1-12-111-210000002-222-2-2-1-12-111-210000002-222-2-2-1-12-111-21000000
χ122-222-2-2-1-1-12111-20000002-222-2-2-1-1-12111-20000002-222-2-2-1-1-12111-20000002-222-2-2-1-1-12111-20000002-222-2-2-1-1-12111-20000002-222-2-2-1-1-12111-20000002-222-2-2-1-1-12111-2000000
χ1333−3−3i32−3+3i32−3−3i32−3+3i320000000011−1−i32−1+i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i320000000011−1−i32−1+i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i320000000011−1−i32−1+i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i320000000011−1−i32−1+i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i320000000011−1−i32−1+i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i320000000011−1−i32−1+i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i320000000011−1−i32−1+i32−1−i32−1+i32
χ1433−3−3i32−3+3i32−3−3i32−3+3i3200000000-1-11+i321−i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i3200000000-1-11+i321−i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i3200000000-1-11+i321−i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i3200000000-1-11+i321−i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i3200000000-1-11+i321−i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i3200000000-1-11+i321−i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i3200000000-1-11+i321−i321+i321−i32
χ1533−3+3i32−3−3i32−3+3i32−3−3i320000000011−1+i32−1−i32−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i320000000011−1+i32−1−i32−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i320000000011−1+i32−1−i32−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i320000000011−1+i32−1−i32−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i320000000011−1+i32−1−i32−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i320000000011−1+i32−1−i32−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i320000000011−1+i32−1−i32−1+i32−1−i32
χ1633−3+3i32−3−3i32−3+3i32−3−3i3200000000-1-11−i321+i321−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i3200000000-1-11−i321+i321−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i3200000000-1-11−i321+i321−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i3200000000-1-11−i321+i321−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i3200000000-1-11−i321+i321−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i3200000000-1-11−i321+i321−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i3200000000-1-11−i321+i321−i321+i32
χ173-3−3−3i32−3+3i323+3i323−3i3200000000i−iζ22ζ14−ζ22−ζ143-3−3−3i32−3+3i323+3i323−3i3200000000i−iζ22ζ14−ζ22−ζ143-3−3−3i32−3+3i323+3i323−3i3200000000i−iζ22ζ14−ζ22−ζ143-3−3−3i32−3+3i323+3i323−3i3200000000i−iζ22ζ14−ζ22−ζ143-3−3−3i32−3+3i323+3i323−3i3200000000i−iζ22ζ14−ζ22−ζ143-3−3−3i32−3+3i323+3i323−3i3200000000i−iζ22ζ14−ζ22−ζ143-3−3−3i32−3+3i323+3i323−3i3200000000i−iζ22ζ14−ζ22−ζ14
χ183-3−3−3i32−3+3i323+3i323−3i3200000000−ii−ζ22−ζ14ζ22ζ143-3−3−3i32−3+3i323+3i323−3i3200000000−ii−ζ22−ζ14ζ22ζ143-3−3−3i32−3+3i323+3i323−3i3200000000−ii−ζ22−ζ14ζ22ζ143-3−3−3i32−3+3i323+3i323−3i3200000000−ii−ζ22−ζ14ζ22ζ143-3−3−3i32−3+3i323+3i323−3i3200000000−ii−ζ22−ζ14ζ22ζ143-3−3−3i32−3+3i323+3i323−3i3200000000−ii−ζ22−ζ14ζ22ζ143-3−3−3i32−3+3i323+3i323−3i3200000000−ii−ζ22−ζ14ζ22ζ14
χ193-3−3+3i32−3−3i323−3i323+3i3200000000i−iζ14ζ22−ζ14−ζ223-3−3+3i32−3−3i323−3i323+3i3200000000i−iζ14ζ22−ζ14−ζ223-3−3+3i32−3−3i323−3i323+3i3200000000i−iζ14ζ22−ζ14−ζ223-3−3+3i32−3−3i323−3i323+3i3200000000i−iζ14ζ22−ζ14−ζ223-3−3+3i32−3−3i323−3i323+3i3200000000i−iζ14ζ22−ζ14−ζ223-3−3+3i32−3−3i323−3i323+3i3200000000i−iζ14ζ22−ζ14−ζ223-3−3+3i32−3−3i323−3i323+3i3200000000i−iζ14ζ22−ζ14−ζ22
χ203-3−3+3i32−3−3i323−3i323+3i3200000000−ii−ζ14−ζ22ζ14ζ223-3−3+3i32−3−3i323−3i323+3i3200000000−ii−ζ14−ζ22ζ14ζ223-3−3+3i32−3−3i323−3i323+3i3200000000−ii−ζ14−ζ22ζ14ζ223-3−3+3i32−3−3i323−3i323+3i3200000000−ii−ζ14−ζ22ζ14ζ223-3−3+3i32−3−3i323−3i323+3i3200000000−ii−ζ14−ζ22ζ14ζ223-3−3+3i32−3−3i323−3i323+3i3200000000−ii−ζ14−ζ22ζ14ζ223-3−3+3i32−3−3i323−3i323+3i3200000000−ii−ζ14−ζ22ζ14ζ22
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2211111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ231-111-1-11111-1-1-1-1i−iii−i−i1-111-1-11111-1-1-1-1i−iii−i−i1-111-1-11111-1-1-1-1i−iii−i−i1-111-1-11111-1-1-1-1i−iii−i−i1-111-1-11111-1-1-1-1i−iii−i−i-11-1-111-1-1-1-11111−ii−i−iii-11-1-111-1-1-1-11111−ii−i−iii
χ241-111-1-11111-1-1-1-1−ii−i−iii1-111-1-11111-1-1-1-1−ii−i−iii1-111-1-11111-1-1-1-1−ii−i−iii1-111-1-11111-1-1-1-1−ii−i−iii1-111-1-11111-1-1-1-1−ii−i−iii-11-1-111-1-1-1-11111i−iii−i−i-11-1-111-1-1-1-11111i−iii−i−i
χ252222222-1-1-12-1-1-10000002222222-1-1-12-1-1-10000002222222-1-1-12-1-1-10000002222222-1-1-12-1-1-10000002222222-1-1-12-1-1-1000000-2-2-2-2-2-2-2111-2111000000-2-2-2-2-2-2-2111-2111000000
χ26222222-12-1-1-12-1-1000000222222-12-1-1-12-1-1000000222222-12-1-1-12-1-1000000222222-12-1-1-12-1-1000000222222-12-1-1-12-1-1000000-2-2-2-2-2-21-2111-211000000-2-2-2-2-2-21-2111-211000000
χ27222222-1-12-1-1-12-1000000222222-1-12-1-1-12-1000000222222-1-12-1-1-12-1000000222222-1-12-1-1-12-1000000222222-1-12-1-1-12-1000000-2-2-2-2-2-211-2111-21000000-2-2-2-2-2-211-2111-21000000
χ28222222-1-1-12-1-1-12000000222222-1-1-12-1-1-12000000222222-1-1-12-1-1-12000000222222-1-1-12-1-1-12000000222222-1-1-12-1-1-12000000-2-2-2-2-2-2111-2111-2000000-2-2-2-2-2-2111-2111-2000000
χ292-222-2-22-1-1-1-21110000002-222-2-22-1-1-1-21110000002-222-2-22-1-1-1-21110000002-222-2-22-1-1-1-21110000002-222-2-22-1-1-1-2111000000-22-2-222-21112-1-1-1000000-22-2-222-21112-1-1-1000000
χ302-222-2-2-12-1-11-2110000002-222-2-2-12-1-11-2110000002-222-2-2-12-1-11-2110000002-222-2-2-12-1-11-2110000002-222-2-2-12-1-11-211000000-22-2-2221-211-12-1-1000000-22-2-2221-211-12-1-1000000
χ312-222-2-2-1-12-111-210000002-222-2-2-1-12-111-210000002-222-2-2-1-12-111-210000002-222-2-2-1-12-111-210000002-222-2-2-1-12-111-21000000-22-2-22211-21-1-12-1000000-22-2-22211-21-1-12-1000000
χ322-222-2-2-1-1-12111-20000002-222-2-2-1-1-12111-20000002-222-2-2-1-1-12111-20000002-222-2-2-1-1-12111-20000002-222-2-2-1-1-12111-2000000-22-2-222111-2-1-1-12000000-22-2-222111-2-1-1-12000000
χ3333−3−3i32−3+3i32−3−3i32−3+3i320000000011−1−i32−1+i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i320000000011−1−i32−1+i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i320000000011−1−i32−1+i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i320000000011−1−i32−1+i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i320000000011−1−i32−1+i32−1−i32−1+i32-3-33+3i323−3i323+3i323−3i3200000000-1-11+i321−i321+i321−i32-3-33+3i323−3i323+3i323−3i3200000000-1-11+i321−i321+i321−i32
χ3433−3−3i32−3+3i32−3−3i32−3+3i3200000000-1-11+i321−i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i3200000000-1-11+i321−i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i3200000000-1-11+i321−i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i3200000000-1-11+i321−i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i3200000000-1-11+i321−i321+i321−i32-3-33+3i323−3i323+3i323−3i320000000011−1−i32−1+i32−1−i32−1+i32-3-33+3i323−3i323+3i323−3i320000000011−1−i32−1+i32−1−i32−1+i32
χ3533−3+3i32−3−3i32−3+3i32−3−3i320000000011−1+i32−1−i32−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i320000000011−1+i32−1−i32−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i320000000011−1+i32−1−i32−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i320000000011−1+i32−1−i32−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i320000000011−1+i32−1−i32−1+i32−1−i32-3-33−3i323+3i323−3i323+3i3200000000-1-11−i321+i321−i321+i32-3-33−3i323+3i323−3i323+3i3200000000-1-11−i321+i321−i321+i32
χ3633−3+3i32−3−3i32−3+3i32−3−3i3200000000-1-11−i321+i321−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i3200000000-1-11−i321+i321−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i3200000000-1-11−i321+i321−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i3200000000-1-11−i321+i321−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i3200000000-1-11−i321+i321−i321+i32-3-33−3i323+3i323−3i323+3i320000000011−1+i32−1−i32−1+i32−1−i32-3-33−3i323+3i323−3i323+3i320000000011−1+i32−1−i32−1+i32−1−i32
χ373-3−3−3i32−3+3i323+3i323−3i3200000000i−iζ22ζ14−ζ22−ζ143-3−3−3i32−3+3i323+3i323−3i3200000000i−iζ22ζ14−ζ22−ζ143-3−3−3i32−3+3i323+3i323−3i3200000000i−iζ22ζ14−ζ22−ζ143-3−3−3i32−3+3i323+3i323−3i3200000000i−iζ22ζ14−ζ22−ζ143-3−3−3i32−3+3i323+3i323−3i3200000000i−iζ22ζ14−ζ22−ζ14-333+3i323−3i32−3−3i32−3+3i3200000000−ii−ζ22−ζ14ζ22ζ14-333+3i323−3i32−3−3i32−3+3i3200000000−ii−ζ22−ζ14ζ22ζ14
χ383-3−3−3i32−3+3i323+3i323−3i3200000000−ii−ζ22−ζ14ζ22ζ143-3−3−3i32−3+3i323+3i323−3i3200000000−ii−ζ22−ζ14ζ22ζ143-3−3−3i32−3+3i323+3i323−3i3200000000−ii−ζ22−ζ14ζ22ζ143-3−3−3i32−3+3i323+3i323−3i3200000000−ii−ζ22−ζ14ζ22ζ143-3−3−3i32−3+3i323+3i323−3i3200000000−ii−ζ22−ζ14ζ22ζ14-333+3i323−3i32−3−3i32−3+3i3200000000i−iζ22ζ14−ζ22−ζ14-333+3i323−3i32−3−3i32−3+3i3200000000i−iζ22ζ14−ζ22−ζ14
χ393-3−3+3i32−3−3i323−3i323+3i3200000000i−iζ14ζ22−ζ14−ζ223-3−3+3i32−3−3i323−3i323+3i3200000000i−iζ14ζ22−ζ14−ζ223-3−3+3i32−3−3i323−3i323+3i3200000000i−iζ14ζ22−ζ14−ζ223-3−3+3i32−3−3i323−3i323+3i3200000000i−iζ14ζ22−ζ14−ζ223-3−3+3i32−3−3i323−3i323+3i3200000000i−iζ14ζ22−ζ14−ζ22-333−3i323+3i32−3+3i32−3−3i3200000000−ii−ζ14−ζ22ζ14ζ22-333−3i323+3i32−3+3i32−3−3i3200000000−ii−ζ14−ζ22ζ14ζ22
χ403-3−3+3i32−3−3i323−3i323+3i3200000000−ii−ζ14−ζ22ζ14ζ223-3−3+3i32−3−3i323−3i323+3i3200000000−ii−ζ14−ζ22ζ14ζ223-3−3+3i32−3−3i323−3i323+3i3200000000−ii−ζ14−ζ22ζ14ζ223-3−3+3i32−3−3i323−3i323+3i3200000000−ii−ζ14−ζ22ζ14ζ223-3−3+3i32−3−3i323−3i323+3i3200000000−ii−ζ14−ζ22ζ14ζ22-333−3i323+3i32−3+3i32−3−3i3200000000i−iζ14ζ22−ζ14−ζ22-333−3i323+3i32−3+3i32−3−3i3200000000i−iζ14ζ22−ζ14−ζ22
χ41111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4211111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ431-111-1-11111-1-1-1-1i−iii−i−i1-111-1-11111-1-1-1-1i−iii−i−i1-111-1-11111-1-1-1-1i−iii−i−i-11-1-111-1-1-1-11111−ii−i−iii-11-1-111-1-1-1-11111−ii−i−iii1-111-1-11111-1-1-1-1i−iii−i−i-11-1-111-1-1-1-11111−ii−i−iii
χ441-111-1-11111-1-1-1-1−ii−i−iii1-111-1-11111-1-1-1-1−ii−i−iii1-111-1-11111-1-1-1-1−ii−i−iii-11-1-111-1-1-1-11111i−iii−i−i-11-1-111-1-1-1-11111i−iii−i−i1-111-1-11111-1-1-1-1−ii−i−iii-11-1-111-1-1-1-11111i−iii−i−i
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χ46222222-12-1-1-12-1-1000000222222-12-1-1-12-1-1000000222222-12-1-1-12-1-1000000-2-2-2-2-2-21-2111-211000000-2-2-2-2-2-21-2111-211000000222222-12-1-1-12-1-1000000-2-2-2-2-2-21-2111-211000000
χ47222222-1-12-1-1-12-1000000222222-1-12-1-1-12-1000000222222-1-12-1-1-12-1000000-2-2-2-2-2-211-2111-21000000-2-2-2-2-2-211-2111-21000000222222-1-12-1-1-12-1000000-2-2-2-2-2-211-2111-21000000
χ48222222-1-1-12-1-1-12000000222222-1-1-12-1-1-12000000222222-1-1-12-1-1-12000000-2-2-2-2-2-2111-2111-2000000-2-2-2-2-2-2111-2111-2000000222222-1-1-12-1-1-12000000-2-2-2-2-2-2111-2111-2000000
χ492-222-2-22-1-1-1-21110000002-222-2-22-1-1-1-21110000002-222-2-22-1-1-1-2111000000-22-2-222-21112-1-1-1000000-22-2-222-21112-1-1-10000002-222-2-22-1-1-1-2111000000-22-2-222-21112-1-1-1000000
χ502-222-2-2-12-1-11-2110000002-222-2-2-12-1-11-2110000002-222-2-2-12-1-11-211000000-22-2-2221-211-12-1-1000000-22-2-2221-211-12-1-10000002-222-2-2-12-1-11-211000000-22-2-2221-211-12-1-1000000
χ512-222-2-2-1-12-111-210000002-222-2-2-1-12-111-210000002-222-2-2-1-12-111-21000000-22-2-22211-21-1-12-1000000-22-2-22211-21-1-12-10000002-222-2-2-1-12-111-21000000-22-2-22211-21-1-12-1000000
χ522-222-2-2-1-1-12111-20000002-222-2-2-1-1-12111-20000002-222-2-2-1-1-12111-2000000-22-2-222111-2-1-1-12000000-22-2-222111-2-1-1-120000002-222-2-2-1-1-12111-2000000-22-2-222111-2-1-1-12000000
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χ61111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111
χ6211111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1
χ631-111-1-11111-1-1-1-1i−iii−i−i1-111-1-11111-1-1-1-1i−iii−i−i1-111-1-11111-1-1-1-1i−iii−i−i-11-1-111-1-1-1-11111−ii−i−iii-11-1-111-1-1-1-11111−ii−i−iii-11-1-111-1-1-1-11111−ii−i−iii1-111-1-11111-1-1-1-1i−iii−i−i
χ641-111-1-11111-1-1-1-1−ii−i−iii1-111-1-11111-1-1-1-1−ii−i−iii1-111-1-11111-1-1-1-1−ii−i−iii-11-1-111-1-1-1-11111i−iii−i−i-11-1-111-1-1-1-11111i−iii−i−i-11-1-111-1-1-1-11111i−iii−i−i1-111-1-11111-1-1-1-1−ii−i−iii
χ652222222-1-1-12-1-1-10000002222222-1-1-12-1-1-10000002222222-1-1-12-1-1-1000000-2-2-2-2-2-2-2111-2111000000-2-2-2-2-2-2-2111-2111000000-2-2-2-2-2-2-2111-21110000002222222-1-1-12-1-1-1000000
χ66222222-12-1-1-12-1-1000000222222-12-1-1-12-1-1000000222222-12-1-1-12-1-1000000-2-2-2-2-2-21-2111-211000000-2-2-2-2-2-21-2111-211000000-2-2-2-2-2-21-2111-211000000222222-12-1-1-12-1-1000000
χ67222222-1-12-1-1-12-1000000222222-1-12-1-1-12-1000000222222-1-12-1-1-12-1000000-2-2-2-2-2-211-2111-21000000-2-2-2-2-2-211-2111-21000000-2-2-2-2-2-211-2111-21000000222222-1-12-1-1-12-1000000
χ68222222-1-1-12-1-1-12000000222222-1-1-12-1-1-12000000222222-1-1-12-1-1-12000000-2-2-2-2-2-2111-2111-2000000-2-2-2-2-2-2111-2111-2000000-2-2-2-2-2-2111-2111-2000000222222-1-1-12-1-1-12000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.