Finite Group Databasebeta

← Group #13048724

Character table — Group #13048724

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111166666666999999222222121212121212121218181818181833333318181818181818182727272727271111116666666699999922222212121212121212121818181818183333331818181818181818272727272727
order1233663333666644121212123633663333666612121212121222666666666666441212121222666666666666441212121266666666666666121212121212226666666666664412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1
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−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−iii
χ52222222-1-1-12-1-1-10000002222222-1-1-12-1-1-10000002222222-1-1-12-1-1-10000002222222-1-1-12-1-1-10000002222222-1-1-12-1-1-10000002222222-1-1-12-1-1-1000000
χ6222222-12-1-1-12-1-1000000222222-12-1-1-12-1-1000000222222-12-1-1-12-1-1000000222222-12-1-1-12-1-1000000222222-12-1-1-12-1-1000000222222-12-1-1-12-1-1000000
χ7222222-1-12-1-1-12-1000000222222-1-12-1-1-12-1000000222222-1-12-1-1-12-1000000222222-1-12-1-1-12-1000000222222-1-12-1-1-12-1000000222222-1-12-1-1-12-1000000
χ8222222-1-1-12-1-1-12000000222222-1-1-12-1-1-12000000222222-1-1-12-1-1-12000000222222-1-1-12-1-1-12000000222222-1-1-12-1-1-12000000222222-1-1-12-1-1-12000000
χ92-222-2-22-1-1-1-21110000002-222-2-22-1-1-1-21110000002-222-2-22-1-1-1-21110000002-222-2-22-1-1-1-21110000002-222-2-22-1-1-1-21110000002-222-2-22-1-1-1-2111000000
χ102-222-2-2-12-1-11-2110000002-222-2-2-12-1-11-2110000002-222-2-2-12-1-11-2110000002-222-2-2-12-1-11-2110000002-222-2-2-12-1-11-2110000002-222-2-2-12-1-11-211000000
χ112-222-2-2-1-12-111-210000002-222-2-2-1-12-111-210000002-222-2-2-1-12-111-210000002-222-2-2-1-12-111-210000002-222-2-2-1-12-111-210000002-222-2-2-1-12-111-21000000
χ122-222-2-2-1-1-12111-20000002-222-2-2-1-1-12111-20000002-222-2-2-1-1-12111-20000002-222-2-2-1-1-12111-20000002-222-2-2-1-1-12111-20000002-222-2-2-1-1-12111-2000000
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+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−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−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+i32
χ173-3−3−3i32−3+3i323+3i323−3i3200000000i−iζ11ζ7−ζ11−ζ73-3−3−3i32−3+3i323+3i323−3i3200000000i−iζ11ζ7−ζ11−ζ73-3−3−3i32−3+3i323+3i323−3i3200000000i−iζ11ζ7−ζ11−ζ73-3−3−3i32−3+3i323+3i323−3i3200000000i−iζ11ζ7−ζ11−ζ73-3−3−3i32−3+3i323+3i323−3i3200000000i−iζ11ζ7−ζ11−ζ73-3−3−3i32−3+3i323+3i323−3i3200000000i−iζ11ζ7−ζ11−ζ7
χ183-3−3−3i32−3+3i323+3i323−3i3200000000−ii−ζ11−ζ7ζ11ζ73-3−3−3i32−3+3i323+3i323−3i3200000000−ii−ζ11−ζ7ζ11ζ73-3−3−3i32−3+3i323+3i323−3i3200000000−ii−ζ11−ζ7ζ11ζ73-3−3−3i32−3+3i323+3i323−3i3200000000−ii−ζ11−ζ7ζ11ζ73-3−3−3i32−3+3i323+3i323−3i3200000000−ii−ζ11−ζ7ζ11ζ73-3−3−3i32−3+3i323+3i323−3i3200000000−ii−ζ11−ζ7ζ11ζ7
χ193-3−3+3i32−3−3i323−3i323+3i3200000000i−iζ7ζ11−ζ7−ζ113-3−3+3i32−3−3i323−3i323+3i3200000000i−iζ7ζ11−ζ7−ζ113-3−3+3i32−3−3i323−3i323+3i3200000000i−iζ7ζ11−ζ7−ζ113-3−3+3i32−3−3i323−3i323+3i3200000000i−iζ7ζ11−ζ7−ζ113-3−3+3i32−3−3i323−3i323+3i3200000000i−iζ7ζ11−ζ7−ζ113-3−3+3i32−3−3i323−3i323+3i3200000000i−iζ7ζ11−ζ7−ζ11
χ203-3−3+3i32−3−3i323−3i323+3i3200000000−ii−ζ7−ζ11ζ7ζ113-3−3+3i32−3−3i323−3i323+3i3200000000−ii−ζ7−ζ11ζ7ζ113-3−3+3i32−3−3i323−3i323+3i3200000000−ii−ζ7−ζ11ζ7ζ113-3−3+3i32−3−3i323−3i323+3i3200000000−ii−ζ7−ζ11ζ7ζ113-3−3+3i32−3−3i323−3i323+3i3200000000−ii−ζ7−ζ11ζ7ζ113-3−3+3i32−3−3i323−3i323+3i3200000000−ii−ζ7−ζ11ζ7ζ11
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2211111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ231-111-1-11111-1-1-1-1i−iii−i−i1-111-1-11111-1-1-1-1i−iii−i−i-11-1-111-1-1-1-11111−ii−i−iii1-111-1-11111-1-1-1-1i−iii−i−i1-111-1-11111-1-1-1-1i−iii−i−i-11-1-111-1-1-1-11111−ii−i−iii
χ241-111-1-11111-1-1-1-1−ii−i−iii1-111-1-11111-1-1-1-1−ii−i−iii-11-1-111-1-1-1-11111i−iii−i−i1-111-1-11111-1-1-1-1−ii−i−iii1-111-1-11111-1-1-1-1−ii−i−iii-11-1-111-1-1-1-11111i−iii−i−i
χ252222222-1-1-12-1-1-10000002222222-1-1-12-1-1-1000000-2-2-2-2-2-2-2111-21110000002222222-1-1-12-1-1-10000002222222-1-1-12-1-1-1000000-2-2-2-2-2-2-2111-2111000000
χ26222222-12-1-1-12-1-1000000222222-12-1-1-12-1-1000000-2-2-2-2-2-21-2111-211000000222222-12-1-1-12-1-1000000222222-12-1-1-12-1-1000000-2-2-2-2-2-21-2111-211000000
χ27222222-1-12-1-1-12-1000000222222-1-12-1-1-12-1000000-2-2-2-2-2-211-2111-21000000222222-1-12-1-1-12-1000000222222-1-12-1-1-12-1000000-2-2-2-2-2-211-2111-21000000
χ28222222-1-1-12-1-1-12000000222222-1-1-12-1-1-12000000-2-2-2-2-2-2111-2111-2000000222222-1-1-12-1-1-12000000222222-1-1-12-1-1-12000000-2-2-2-2-2-2111-2111-2000000
χ292-222-2-22-1-1-1-21110000002-222-2-22-1-1-1-2111000000-22-2-222-21112-1-1-10000002-222-2-22-1-1-1-21110000002-222-2-22-1-1-1-2111000000-22-2-222-21112-1-1-1000000
χ302-222-2-2-12-1-11-2110000002-222-2-2-12-1-11-211000000-22-2-2221-211-12-1-10000002-222-2-2-12-1-11-2110000002-222-2-2-12-1-11-211000000-22-2-2221-211-12-1-1000000
χ312-222-2-2-1-12-111-210000002-222-2-2-1-12-111-21000000-22-2-22211-21-1-12-10000002-222-2-2-1-12-111-210000002-222-2-2-1-12-111-21000000-22-2-22211-21-1-12-1000000
χ322-222-2-2-1-1-12111-20000002-222-2-2-1-1-12111-2000000-22-2-222111-2-1-1-120000002-222-2-2-1-1-12111-20000002-222-2-2-1-1-12111-2000000-22-2-222111-2-1-1-12000000
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+i32-3-33+3i323−3i323+3i323−3i3200000000-1-11+i321−i321+i321−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
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−i32-3-33+3i323−3i323+3i323−3i320000000011−1−i32−1+i32−1−i32−1+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
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−i32-3-33−3i323+3i323−3i323+3i3200000000-1-11−i321+i321−i321+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
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+i32-3-33−3i323+3i323−3i323+3i320000000011−1+i32−1−i32−1+i32−1−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
χ373-3−3−3i32−3+3i323+3i323−3i3200000000i−iζ11ζ7−ζ11−ζ73-3−3−3i32−3+3i323+3i323−3i3200000000i−iζ11ζ7−ζ11−ζ7-333+3i323−3i32−3−3i32−3+3i3200000000−ii−ζ11−ζ7ζ11ζ73-3−3−3i32−3+3i323+3i323−3i3200000000i−iζ11ζ7−ζ11−ζ73-3−3−3i32−3+3i323+3i323−3i3200000000i−iζ11ζ7−ζ11−ζ7-333+3i323−3i32−3−3i32−3+3i3200000000−ii−ζ11−ζ7ζ11ζ7
χ383-3−3−3i32−3+3i323+3i323−3i3200000000−ii−ζ11−ζ7ζ11ζ73-3−3−3i32−3+3i323+3i323−3i3200000000−ii−ζ11−ζ7ζ11ζ7-333+3i323−3i32−3−3i32−3+3i3200000000i−iζ11ζ7−ζ11−ζ73-3−3−3i32−3+3i323+3i323−3i3200000000−ii−ζ11−ζ7ζ11ζ73-3−3−3i32−3+3i323+3i323−3i3200000000−ii−ζ11−ζ7ζ11ζ7-333+3i323−3i32−3−3i32−3+3i3200000000i−iζ11ζ7−ζ11−ζ7
χ393-3−3+3i32−3−3i323−3i323+3i3200000000i−iζ7ζ11−ζ7−ζ113-3−3+3i32−3−3i323−3i323+3i3200000000i−iζ7ζ11−ζ7−ζ11-333−3i323+3i32−3+3i32−3−3i3200000000−ii−ζ7−ζ11ζ7ζ113-3−3+3i32−3−3i323−3i323+3i3200000000i−iζ7ζ11−ζ7−ζ113-3−3+3i32−3−3i323−3i323+3i3200000000i−iζ7ζ11−ζ7−ζ11-333−3i323+3i32−3+3i32−3−3i3200000000−ii−ζ7−ζ11ζ7ζ11
χ403-3−3+3i32−3−3i323−3i323+3i3200000000−ii−ζ7−ζ11ζ7ζ113-3−3+3i32−3−3i323−3i323+3i3200000000−ii−ζ7−ζ11ζ7ζ11-333−3i323+3i32−3+3i32−3−3i3200000000i−iζ7ζ11−ζ7−ζ113-3−3+3i32−3−3i323−3i323+3i3200000000−ii−ζ7−ζ11ζ7ζ113-3−3+3i32−3−3i323−3i323+3i3200000000−ii−ζ7−ζ11ζ7ζ11-333−3i323+3i32−3+3i32−3−3i3200000000i−iζ7ζ11−ζ7−ζ11
χ4122222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000022222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ4222222222222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-11111110000000000000000000022222222222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-111111100000000000000000000
χ432-222-2-22222-2-2-2-22i−2i2i2i−2i−2i-11-1-111-1-1-1-11111−ii−i−iii000000000000000000002-222-2-22222-2-2-2-22i−2i2i2i−2i−2i-11-1-111-1-1-1-11111−ii−i−iii00000000000000000000
χ442-222-2-22222-2-2-2-2−2i2i−2i−2i2i2i-11-1-111-1-1-1-11111i−iii−i−i000000000000000000002-222-2-22222-2-2-2-2−2i2i−2i−2i2i2i-11-1-111-1-1-1-11111i−iii−i−i00000000000000000000
χ454444444-2-2-24-2-2-2000000-2-2-2-2-2-2-2111-2111000000000000000000000000004444444-2-2-24-2-2-2000000-2-2-2-2-2-2-2111-211100000000000000000000000000
χ46444444-24-2-2-24-2-2000000-2-2-2-2-2-21-2111-21100000000000000000000000000444444-24-2-2-24-2-2000000-2-2-2-2-2-21-2111-21100000000000000000000000000
χ47444444-2-24-2-2-24-2000000-2-2-2-2-2-211-2111-2100000000000000000000000000444444-2-24-2-2-24-2000000-2-2-2-2-2-211-2111-2100000000000000000000000000
χ48444444-2-2-24-2-2-24000000-2-2-2-2-2-2111-2111-200000000000000000000000000444444-2-2-24-2-2-24000000-2-2-2-2-2-2111-2111-200000000000000000000000000
χ494-444-4-44-2-2-2-4222000000-22-2-222-21112-1-1-1000000000000000000000000004-444-4-44-2-2-2-4222000000-22-2-222-21112-1-1-100000000000000000000000000
χ504-444-4-4-24-2-22-422000000-22-2-2221-211-12-1-1000000000000000000000000004-444-4-4-24-2-22-422000000-22-2-2221-211-12-1-100000000000000000000000000
χ514-444-4-4-2-24-222-42000000-22-2-22211-21-1-12-1000000000000000000000000004-444-4-4-2-24-222-42000000-22-2-22211-21-1-12-100000000000000000000000000
χ524-444-4-4-2-2-24222-4000000-22-2-222111-2-1-1-12000000000000000000000000004-444-4-4-2-2-24222-4000000-22-2-222111-2-1-1-1200000000000000000000000000
χ5366−3−3i3−3+3i3−3−3i3−3+3i30000000022−1−i3−1+i3−1−i3−1+i3-3-33+3i323−3i323+3i323−3i3200000000-1-11+i321−i321+i321−i320000000000000000000066−3−3i3−3+3i3−3−3i3−3+3i30000000022−1−i3−1+i3−1−i3−1+i3-3-33+3i323−3i323+3i323−3i3200000000-1-11+i321−i321+i321−i3200000000000000000000
χ5466−3−3i3−3+3i3−3−3i3−3+3i300000000-2-21+i31−i31+i31−i3-3-33+3i323−3i323+3i323−3i320000000011−1−i32−1+i32−1−i32−1+i320000000000000000000066−3−3i3−3+3i3−3−3i3−3+3i300000000-2-21+i31−i31+i31−i3-3-33+3i323−3i323+3i323−3i320000000011−1−i32−1+i32−1−i32−1+i3200000000000000000000
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χ10222222222222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-111111100000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-222222211111111111111-1-1-1-1-1-100000000000000000000
χ1032-222-2-22222-2-2-2-22i−2i2i2i−2i−2i-11-1-111-1-1-1-11111−ii−i−iii00000000000000000000-22-2-222-2-2-2-22222−2i2i−2i−2i2i2i1-111-1-11111-1-1-1-1i−iii−i−i00000000000000000000
χ1042-222-2-22222-2-2-2-2−2i2i−2i−2i2i2i-11-1-111-1-1-1-11111i−iii−i−i00000000000000000000-22-2-222-2-2-2-222222i−2i2i2i−2i−2i1-111-1-11111-1-1-1-1−ii−i−iii00000000000000000000
χ1054444444-2-2-24-2-2-2000000-2-2-2-2-2-2-2111-211100000000000000000000000000-4-4-4-4-4-4-4222-42220000002222222-1-1-12-1-1-100000000000000000000000000
χ106444444-24-2-2-24-2-2000000-2-2-2-2-2-21-2111-21100000000000000000000000000-4-4-4-4-4-42-4222-422000000222222-12-1-1-12-1-100000000000000000000000000
χ107444444-2-24-2-2-24-2000000-2-2-2-2-2-211-2111-2100000000000000000000000000-4-4-4-4-4-422-4222-42000000222222-1-12-1-1-12-100000000000000000000000000
χ108444444-2-2-24-2-2-24000000-2-2-2-2-2-2111-2111-200000000000000000000000000-4-4-4-4-4-4222-4222-4000000222222-1-1-12-1-1-1200000000000000000000000000
χ1094-444-4-44-2-2-2-4222000000-22-2-222-21112-1-1-100000000000000000000000000-44-4-444-42224-2-2-20000002-222-2-22-1-1-1-211100000000000000000000000000
χ1104-444-4-4-24-2-22-422000000-22-2-2221-211-12-1-100000000000000000000000000-44-4-4442-422-24-2-20000002-222-2-2-12-1-11-21100000000000000000000000000
χ1114-444-4-4-2-24-222-42000000-22-2-22211-21-1-12-100000000000000000000000000-44-4-44422-42-2-24-20000002-222-2-2-1-12-111-2100000000000000000000000000
χ1124-444-4-4-2-2-24222-4000000-22-2-222111-2-1-1-1200000000000000000000000000-44-4-444222-4-2-2-240000002-222-2-2-1-1-12111-200000000000000000000000000
χ11366−3−3i3−3+3i3−3−3i3−3+3i30000000022−1−i3−1+i3−1−i3−1+i3-3-33+3i323−3i323+3i323−3i3200000000-1-11+i321−i321+i321−i3200000000000000000000-6-63+3i33−3i33+3i33−3i300000000-2-21+i31−i31+i31−i333−3−3i32−3+3i32−3−3i32−3+3i320000000011−1−i32−1+i32−1−i32−1+i3200000000000000000000
χ11466−3−3i3−3+3i3−3−3i3−3+3i300000000-2-21+i31−i31+i31−i3-3-33+3i323−3i323+3i323−3i320000000011−1−i32−1+i32−1−i32−1+i3200000000000000000000-6-63+3i33−3i33+3i33−3i30000000022−1−i3−1+i3−1−i3−1+i333−3−3i32−3+3i32−3−3i32−3+3i3200000000-1-11+i321−i321+i321−i3200000000000000000000
χ11566−3+3i3−3−3i3−3+3i3−3−3i30000000022−1+i3−1−i3−1+i3−1−i3-3-33−3i323+3i323−3i323+3i3200000000-1-11−i321+i321−i321+i3200000000000000000000-6-63−3i33+3i33−3i33+3i300000000-2-21−i31+i31−i31+i333−3+3i32−3−3i32−3+3i32−3−3i320000000011−1+i32−1−i32−1+i32−1−i3200000000000000000000
χ11666−3+3i3−3−3i3−3+3i3−3−3i300000000-2-21−i31+i31−i31+i3-3-33−3i323+3i323−3i323+3i320000000011−1+i32−1−i32−1+i32−1−i3200000000000000000000-6-63−3i33+3i33−3i33+3i30000000022−1+i3−1−i3−1+i3−1−i333−3+3i32−3−3i32−3+3i32−3−3i3200000000-1-11−i321+i321−i321+i3200000000000000000000
χ1176-6−3−3i3−3+3i33+3i33−3i3000000002i−2i2ζ112ζ7−2ζ11−2ζ7-333+3i323−3i32−3−3i32−3+3i3200000000−ii−ζ11−ζ7ζ11ζ700000000000000000000-663+3i33−3i3−3−3i3−3+3i300000000−2i2i−2ζ11−2ζ72ζ112ζ73-3−3−3i32−3+3i323+3i323−3i3200000000i−iζ11ζ7−ζ11−ζ700000000000000000000
χ1186-6−3−3i3−3+3i33+3i33−3i300000000−2i2i−2ζ11−2ζ72ζ112ζ7-333+3i323−3i32−3−3i32−3+3i3200000000i−iζ11ζ7−ζ11−ζ700000000000000000000-663+3i33−3i3−3−3i3−3+3i3000000002i−2i2ζ112ζ7−2ζ11−2ζ73-3−3−3i32−3+3i323+3i323−3i3200000000−ii−ζ11−ζ7ζ11ζ700000000000000000000
χ1196-6−3+3i3−3−3i33−3i33+3i3000000002i−2i2ζ72ζ11−2ζ7−2ζ11-333−3i323+3i32−3+3i32−3−3i3200000000−ii−ζ7−ζ11ζ7ζ1100000000000000000000-663−3i33+3i3−3+3i3−3−3i300000000−2i2i−2ζ7−2ζ112ζ72ζ113-3−3+3i32−3−3i323−3i323+3i3200000000i−iζ7ζ11−ζ7−ζ1100000000000000000000
χ1206-6−3+3i3−3−3i33−3i33+3i300000000−2i2i−2ζ7−2ζ112ζ72ζ11-333−3i323+3i32−3+3i32−3−3i3200000000i−iζ7ζ11−ζ7−ζ1100000000000000000000-663−3i33+3i3−3+3i3−3−3i3000000002i−2i2ζ72ζ11−2ζ7−2ζ113-3−3+3i32−3−3i323−3i323+3i3200000000−ii−ζ7−ζ11ζ7ζ1100000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.