Finite Group Databasebeta

← Group #13167103

Character table — Group #13167103

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11224444444466666688991212121212121818181836365454112244444444666666889912121212121218181818363654541122444444446666668899121212121212181818183636545411224444444466666688991212121212121818181836365454
order123633336666441212121236221212121212122266664444121212121212121212124412121212121244121212121212441212121244226666666666441212121266221212121212122266664444121212121212121212124412121212121244121212121212441212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-11111111111111111111111111111-1-111-1-1-1-11111111111111111111111111111-1-111-1-1-1-11111111111111111111111111111-1-111-1-1-1-1
χ3111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ4111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111
χ51-11-11111-1-1-1-1i−iii−i−i1-11-1iii−i−i−i1-11-11-1i−i1-11-11111-1-1-1-1i−iii−i−i1-11-1iii−i−i−i1-11-11-1i−i1-11-11111-1-1-1-1i−iii−i−i1-11-1iii−i−i−i1-11-11-1i−i1-11-11111-1-1-1-1i−iii−i−i1-11-1iii−i−i−i1-11-11-1i−i
χ61-11-11111-1-1-1-1i−iii−i−i1-11-1iii−i−i−i-111-1-11−ii1-11-11111-1-1-1-1i−iii−i−i1-11-1iii−i−i−i-111-1-11−ii1-11-11111-1-1-1-1i−iii−i−i1-11-1iii−i−i−i-111-1-11−ii1-11-11111-1-1-1-1i−iii−i−i1-11-1iii−i−i−i-111-1-11−ii
χ71-11-11111-1-1-1-1−ii−i−iii1-11-1−i−i−iiii1-11-11-1−ii1-11-11111-1-1-1-1−ii−i−iii1-11-1−i−i−iiii1-11-11-1−ii1-11-11111-1-1-1-1−ii−i−iii1-11-1−i−i−iiii1-11-11-1−ii1-11-11111-1-1-1-1−ii−i−iii1-11-1−i−i−iiii1-11-11-1−ii
χ81-11-11111-1-1-1-1−ii−i−iii1-11-1−i−i−iiii-111-1-11i−i1-11-11111-1-1-1-1−ii−i−iii1-11-1−i−i−iiii-111-1-11i−i1-11-11111-1-1-1-1−ii−i−iii1-11-1−i−i−iiii-111-1-11i−i1-11-11111-1-1-1-1−ii−i−iii1-11-1−i−i−iiii-111-1-11i−i
χ922222222222200000022-2-200000000-2-2000022222222222200000022-2-200000000-2-2000022222222222200000022-2-200000000-2-2000022222222222200000022-2-200000000-2-20000
χ1022-1-12-1-1222-1-100−i3i3−i3i3-1-1-2-20−i3i30−i3i30011000022-1-12-1-1222-1-100−i3i3−i3i3-1-1-2-20−i3i30−i3i30011000022-1-12-1-1222-1-100−i3i3−i3i3-1-1-2-20−i3i30−i3i30011000022-1-12-1-1222-1-100−i3i3−i3i3-1-1-2-20−i3i30−i3i300110000
χ1122-1-12-1-1222-1-100i3−i3i3−i3-1-1-2-20i3−i30i3−i30011000022-1-12-1-1222-1-100i3−i3i3−i3-1-1-2-20i3−i30i3−i30011000022-1-12-1-1222-1-100i3−i3i3−i3-1-1-2-20i3−i30i3−i30011000022-1-12-1-1222-1-100i3−i3i3−i3-1-1-2-20i3−i30i3−i300110000
χ1222-1-12-1-1222-1-122-1-1-1-1-1-1222-1-12-1-100-1-1000022-1-12-1-1222-1-122-1-1-1-1-1-1222-1-12-1-100-1-1000022-1-12-1-1222-1-122-1-1-1-1-1-1222-1-12-1-100-1-1000022-1-12-1-1222-1-122-1-1-1-1-1-1222-1-12-1-100-1-10000
χ1322-1-12-1-1222-1-1-2-21111-1-122-211-21100-1-1000022-1-12-1-1222-1-1-2-21111-1-122-211-21100-1-1000022-1-12-1-1222-1-1-2-21111-1-122-211-21100-1-1000022-1-12-1-1222-1-1-2-21111-1-122-211-21100-1-10000
χ142-22-22222-2-2-2-20000002-2-2200000000-2200002-22-22222-2-2-2-20000002-2-2200000000-2200002-22-22222-2-2-2-20000002-2-2200000000-2200002-22-22222-2-2-2-20000002-2-2200000000-220000
χ152-2-112-1-12-2-211003−3−33-11-2203−30−33001-100002-2-112-1-12-2-211003−3−33-11-2203−30−33001-100002-2-112-1-12-2-211003−3−33-11-2203−30−33001-100002-2-112-1-12-2-211003−3−33-11-2203−30−33001-10000
χ162-2-112-1-12-2-21100−333−3-11-220−3303−3001-100002-2-112-1-12-2-21100−333−3-11-220−3303−3001-100002-2-112-1-12-2-21100−333−3-11-220−3303−3001-100002-2-112-1-12-2-21100−333−3-11-220−3303−3001-10000
χ172-2-112-1-12-2-2112i−2i−i−iii-112-22i−i−i−2iii00-1100002-2-112-1-12-2-2112i−2i−i−iii-112-22i−i−i−2iii00-1100002-2-112-1-12-2-2112i−2i−i−iii-112-22i−i−i−2iii00-1100002-2-112-1-12-2-2112i−2i−i−iii-112-22i−i−i−2iii00-110000
χ182-2-112-1-12-2-211−2i2iii−i−i-112-2−2iii2i−i−i00-1100002-2-112-1-12-2-211−2i2iii−i−i-112-2−2iii2i−i−i00-1100002-2-112-1-12-2-211−2i2iii−i−i-112-2−2iii2i−i−i00-1100002-2-112-1-12-2-211−2i2iii−i−i-112-2−2iii2i−i−i00-110000
χ194444111-2-2111222222-2-200-1-1-1-1-1-1000000004444111-2-2111222222-2-200-1-1-1-1-1-1000000004444111-2-2111222222-2-200-1-1-1-1-1-1000000004444111-2-2111222222-2-200-1-1-1-1-1-100000000
χ204444111-2-2111-2-2-2-2-2-2-2-200111111000000004444111-2-2111-2-2-2-2-2-2-2-200111111000000004444111-2-2111-2-2-2-2-2-2-2-200111111000000004444111-2-2111-2-2-2-2-2-2-2-20011111100000000
χ214444-2-2-211-2-2-200000011000000002200-1-1004444-2-2-211-2-2-200000011000000002200-1-1004444-2-2-211-2-2-200000011000000002200-1-1004444-2-2-211-2-2-200000011000000002200-1-100
χ224444-2-2-211-2-2-20000001100000000-2-20011004444-2-2-211-2-2-20000001100000000-2-20011004444-2-2-211-2-2-20000001100000000-2-20011004444-2-2-211-2-2-20000001100000000-2-2001100
χ2344-2-21−1−3i32−1+3i32-2-21−1−3i32−1+3i3222−1−i3−1+i3−1−i3−1+i31100-11+i321−i32-11+i321−i320000000044-2-21−1−3i32−1+3i32-2-21−1−3i32−1+3i3222−1−i3−1+i3−1−i3−1+i31100-11+i321−i32-11+i321−i320000000044-2-21−1−3i32−1+3i32-2-21−1−3i32−1+3i3222−1−i3−1+i3−1−i3−1+i31100-11+i321−i32-11+i321−i320000000044-2-21−1−3i32−1+3i32-2-21−1−3i32−1+3i3222−1−i3−1+i3−1−i3−1+i31100-11+i321−i32-11+i321−i3200000000
χ2444-2-21−1−3i32−1+3i32-2-21−1−3i32−1+3i32-2-21+i31−i31+i31−i311001−1−i32−1+i321−1−i32−1+i320000000044-2-21−1−3i32−1+3i32-2-21−1−3i32−1+3i32-2-21+i31−i31+i31−i311001−1−i32−1+i321−1−i32−1+i320000000044-2-21−1−3i32−1+3i32-2-21−1−3i32−1+3i32-2-21+i31−i31+i31−i311001−1−i32−1+i321−1−i32−1+i320000000044-2-21−1−3i32−1+3i32-2-21−1−3i32−1+3i32-2-21+i31−i31+i31−i311001−1−i32−1+i321−1−i32−1+i3200000000
χ2544-2-21−1+3i32−1−3i32-2-21−1+3i32−1−3i3222−1+i3−1−i3−1+i3−1−i31100-11−i321+i32-11−i321+i320000000044-2-21−1+3i32−1−3i32-2-21−1+3i32−1−3i3222−1+i3−1−i3−1+i3−1−i31100-11−i321+i32-11−i321+i320000000044-2-21−1+3i32−1−3i32-2-21−1+3i32−1−3i3222−1+i3−1−i3−1+i3−1−i31100-11−i321+i32-11−i321+i320000000044-2-21−1+3i32−1−3i32-2-21−1+3i32−1−3i3222−1+i3−1−i3−1+i3−1−i31100-11−i321+i32-11−i321+i3200000000
χ2644-2-21−1+3i32−1−3i32-2-21−1+3i32−1−3i32-2-21−i31+i31−i31+i311001−1+i32−1−i321−1+i32−1−i320000000044-2-21−1+3i32−1−3i32-2-21−1+3i32−1−3i32-2-21−i31+i31−i31+i311001−1+i32−1−i321−1+i32−1−i320000000044-2-21−1+3i32−1−3i32-2-21−1+3i32−1−3i32-2-21−i31+i31−i31+i311001−1+i32−1−i321−1+i32−1−i320000000044-2-21−1+3i32−1−3i32-2-21−1+3i32−1−3i32-2-21−i31+i31−i31+i311001−1+i32−1−i321−1+i32−1−i3200000000
χ274-44-4111-22-1-1-12i−2i2i2i−2i−2i-2200−i−i−iiii000000004-44-4111-22-1-1-12i−2i2i2i−2i−2i-2200−i−i−iiii000000004-44-4111-22-1-1-12i−2i2i2i−2i−2i-2200−i−i−iiii000000004-44-4111-22-1-1-12i−2i2i2i−2i−2i-2200−i−i−iiii00000000
χ284-44-4111-22-1-1-1−2i2i−2i−2i2i2i-2200iii−i−i−i000000004-44-4111-22-1-1-1−2i2i−2i−2i2i2i-2200iii−i−i−i000000004-44-4111-22-1-1-1−2i2i−2i−2i2i2i-2200iii−i−i−i000000004-44-4111-22-1-1-1−2i2i−2i−2i2i2i-2200iii−i−i−i00000000
χ294-44-4-2-2-21-12220000001-1000000002-200-11004-44-4-2-2-21-12220000001-1000000002-200-11004-44-4-2-2-21-12220000001-1000000002-200-11004-44-4-2-2-21-12220000001-1000000002-200-1100
χ304-44-4-2-2-21-12220000001-100000000-22001-1004-44-4-2-2-21-12220000001-100000000-22001-1004-44-4-2-2-21-12220000001-100000000-22001-1004-44-4-2-2-21-12220000001-100000000-22001-100
χ314-4-221−1−3i32−1+3i32-22-11+3i321−3i322i−2i2ζ112ζ7−2ζ11−2ζ71-100−i−ζ11−ζ7iζ11ζ7000000004-4-221−1−3i32−1+3i32-22-11+3i321−3i322i−2i2ζ112ζ7−2ζ11−2ζ71-100−i−ζ11−ζ7iζ11ζ7000000004-4-221−1−3i32−1+3i32-22-11+3i321−3i322i−2i2ζ112ζ7−2ζ11−2ζ71-100−i−ζ11−ζ7iζ11ζ7000000004-4-221−1−3i32−1+3i32-22-11+3i321−3i322i−2i2ζ112ζ7−2ζ11−2ζ71-100−i−ζ11−ζ7iζ11ζ700000000
χ324-4-221−1−3i32−1+3i32-22-11+3i321−3i32−2i2i−2ζ11−2ζ72ζ112ζ71-100iζ11ζ7−i−ζ11−ζ7000000004-4-221−1−3i32−1+3i32-22-11+3i321−3i32−2i2i−2ζ11−2ζ72ζ112ζ71-100iζ11ζ7−i−ζ11−ζ7000000004-4-221−1−3i32−1+3i32-22-11+3i321−3i32−2i2i−2ζ11−2ζ72ζ112ζ71-100iζ11ζ7−i−ζ11−ζ7000000004-4-221−1−3i32−1+3i32-22-11+3i321−3i32−2i2i−2ζ11−2ζ72ζ112ζ71-100iζ11ζ7−i−ζ11−ζ700000000
χ334-4-221−1+3i32−1−3i32-22-11−3i321+3i322i−2i2ζ72ζ11−2ζ7−2ζ111-100−i−ζ7−ζ11iζ7ζ11000000004-4-221−1+3i32−1−3i32-22-11−3i321+3i322i−2i2ζ72ζ11−2ζ7−2ζ111-100−i−ζ7−ζ11iζ7ζ11000000004-4-221−1+3i32−1−3i32-22-11−3i321+3i322i−2i2ζ72ζ11−2ζ7−2ζ111-100−i−ζ7−ζ11iζ7ζ11000000004-4-221−1+3i32−1−3i32-22-11−3i321+3i322i−2i2ζ72ζ11−2ζ7−2ζ111-100−i−ζ7−ζ11iζ7ζ1100000000
χ344-4-221−1+3i32−1−3i32-22-11−3i321+3i32−2i2i−2ζ7−2ζ112ζ72ζ111-100iζ7ζ11−i−ζ7−ζ11000000004-4-221−1+3i32−1−3i32-22-11−3i321+3i32−2i2i−2ζ7−2ζ112ζ72ζ111-100iζ7ζ11−i−ζ7−ζ11000000004-4-221−1+3i32−1−3i32-22-11−3i321+3i32−2i2i−2ζ7−2ζ112ζ72ζ111-100iζ7ζ11−i−ζ7−ζ11000000004-4-221−1+3i32−1−3i32-22-11−3i321+3i32−2i2i−2ζ7−2ζ112ζ72ζ111-100iζ7ζ11−i−ζ7−ζ1100000000
χ3588-4-4-42222-422000000-1-1000000000000000088-4-4-42222-422000000-1-1000000000000000088-4-4-42222-422000000-1-1000000000000000088-4-4-42222-422000000-1-10000000000000000
χ368-8-44-4222-24-2-2000000-1100000000000000008-8-44-4222-24-2-2000000-1100000000000000008-8-44-4222-24-2-2000000-1100000000000000008-8-44-4222-24-2-2000000-110000000000000000
χ37111111111111111111111111111111111111iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii-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−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ381111111111111111111111111111-1-111-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiiiiiii−i−iii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−iiiii
χ39111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1iiiiiiiiiiii−i−i−i−i−i−iiiii−i−i−i−i−i−iiiiiii−i−i-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-111−i−i−i−i−i−i−i−i−i−i−i−iiiiiii−i−i−i−iiiiiii−i−i−i−i−i−iii
χ40111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111iiiiiiiiiiii−i−i−i−i−i−iiiii−i−i−i−i−i−i−i−iii−i−iii-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiii−i−i−i−iiiiiiiii−i−iii−i−i
χ411-11-11111-1-1-1-1i−iii−i−i1-11-1iii−i−i−i1-11-11-1i−ii−ii−iiiii−i−i−i−i-11-1-111i−ii−i-1-1-1111i−ii−ii−i-11-11-11-1-1-1-11111−ii−i−iii-11-11−i−i−iiii-11-11-11−ii−ii−ii−i−i−i−iiiii1-111-1-1−ii−ii111-1-1-1−ii−ii−ii1-1
χ421-11-11111-1-1-1-1i−iii−i−i1-11-1iii−i−i−i-111-1-11−iii−ii−iiiii−i−i−i−i-11-1-111i−ii−i-1-1-1111−iii−i−ii1-1-11-11-1-1-1-11111−ii−i−iii-11-11−i−i−iiii1-1-111-1i−i−ii−ii−i−i−i−iiiii1-111-1-1−ii−ii111-1-1-1i−i−iii−i-11
χ431-11-11111-1-1-1-1−ii−i−iii1-11-1−i−i−iiii1-11-11-1−iii−ii−iiiii−i−i−i−i1-111-1-1i−ii−i111-1-1-1i−ii−ii−i1-1-11-11-1-1-1-11111i−iii−i−i-11-11iii−i−i−i-11-11-11i−i−ii−ii−i−i−i−iiiii-11-1-111−ii−ii-1-1-1111−ii−ii−ii-11
χ441-11-11111-1-1-1-1−ii−i−iii1-11-1−i−i−iiii-111-1-11i−ii−ii−iiiii−i−i−i−i1-111-1-1i−ii−i111-1-1-1−iii−i−ii-11-11-11-1-1-1-11111i−iii−i−i-11-11iii−i−i−i1-1-111-1−ii−ii−ii−i−i−i−iiiii-11-1-111−ii−ii-1-1-1111i−i−iii−i1-1
χ4522222222222200000022-2-200000000-2-200002i2i2i2i2i2i2i2i2i2i2i2i0000002i2i−2i−2i00000000−2i−2i0000-2-2-2-2-2-2-2-2-2-2-2-2000000-2-22200000000220000−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i000000−2i−2i2i2i000000002i2i0000
χ4622-1-12-1-1222-1-100−i3i3−i3i3-1-1-2-20−i3i30−i3i3001100002i2i−i−i2i−i−i2i2i2i−i−i003−33−3−i−i−2i−2i03−303−300ii0000-2-211-211-2-2-21100i3−i3i3−i311220i3−i30i3−i300-1-10000−2i−2iii−2iii−2i−2i−2iii00−33−33ii2i2i0−330−3300−i−i0000
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χ1354-44-4111-22-1-1-12i−2i2i2i−2i−2i-2200−i−i−iiii00000000−4i4i−4i4i−i−i−i2i−2iiii2-222-2-22i−2i00-1-1-111100000000-44-44-1-1-12-2111−2i2i−2i−2i2i2i2-200iii−i−i−i000000004i−4i4i−4iiii−2i2i−i−i−i-22-2-222−2i2i00111-1-1-100000000
χ1364-44-4111-22-1-1-1−2i2i−2i−2i2i2i-2200iii−i−i−i00000000−4i4i−4i4i−i−i−i2i−2iiii-22-2-2222i−2i00111-1-1-100000000-44-44-1-1-12-21112i−2i2i2i−2i−2i2-200−i−i−iiii000000004i−4i4i−4iiii−2i2i−i−i−i2-222-2-2−2i2i00-1-1-111100000000
χ1374-44-4-2-2-21-12220000001-1000000002-200-1100−4i4i−4i4i2i2i2i−ii−2i−2i−2i000000−ii00000000−2i2i00i−i00-44-44222-11-2-2-2000000-1100000000-22001-1004i−4i4i−4i−2i−2i−2ii−i2i2i2i000000i−i000000002i−2i00−ii00
χ1384-44-4-2-2-21-12220000001-100000000-22001-100−4i4i−4i4i2i2i2i−ii−2i−2i−2i000000−ii000000002i−2i00−ii00-44-44222-11-2-2-2000000-11000000002-200-11004i−4i4i−4i−2i−2i−2ii−i2i2i2i000000i−i00000000−2i2i00i−i00
χ1394-4-221−1−3i32−1+3i32-22-11+3i321−3i322i−2i2ζ112ζ7−2ζ11−2ζ71-100−i−ζ11−ζ7iζ11ζ700000000−4i4i2i−2i−iζ7−2ζ11−2ζ7+ζ112i−2ii−ζ7+2ζ112ζ7−ζ112-2−1−i3−1+i31+i31−i3−ii00-11+i321−i321−1−i32−1+i3200000000-442-2-11+3i321−3i322-21−1−3i32−1+3i32−2i2i−2ζ11−2ζ72ζ112ζ7-1100iζ11ζ7−i−ζ11−ζ7000000004i−4i−2i2ii−ζ7+2ζ112ζ7−ζ11−2i2i−iζ7−2ζ11−2ζ7+ζ11-221+i31−i3−1−i3−1+i3i−i001−1−i32−1+i32-11+i321−i3200000000
χ1404-4-221−1−3i32−1+3i32-22-11+3i321−3i32−2i2i−2ζ11−2ζ72ζ112ζ71-100iζ11ζ7−i−ζ11−ζ700000000−4i4i2i−2i−iζ7−2ζ11−2ζ7+ζ112i−2ii−ζ7+2ζ112ζ7−ζ11-221+i31−i3−1−i3−1+i3−ii001−1−i32−1+i32-11+i321−i3200000000-442-2-11+3i321−3i322-21−1−3i32−1+3i322i−2i2ζ112ζ7−2ζ11−2ζ7-1100−i−ζ11−ζ7iζ11ζ7000000004i−4i−2i2ii−ζ7+2ζ112ζ7−ζ11−2i2i−iζ7−2ζ11−2ζ7+ζ112-2−1−i3−1+i31+i31−i3i−i00-11+i321−i321−1−i32−1+i3200000000
χ1414-4-221−1+3i32−1−3i32-22-11−3i321+3i322i−2i2ζ72ζ11−2ζ7−2ζ111-100−i−ζ7−ζ11iζ7ζ1100000000−4i4i2i−2i−i−2ζ7+ζ11ζ7−2ζ112i−2ii2ζ7−ζ11−ζ7+2ζ112-2−1+i3−1−i31−i31+i3−ii00-11−i321+i321−1+i32−1−i3200000000-442-2-11−3i321+3i322-21−1+3i32−1−3i32−2i2i−2ζ7−2ζ112ζ72ζ11-1100iζ7ζ11−i−ζ7−ζ11000000004i−4i−2i2ii2ζ7−ζ11−ζ7+2ζ11−2i2i−i−2ζ7+ζ11ζ7−2ζ11-221−i31+i3−1+i3−1−i3i−i001−1+i32−1−i32-11−i321+i3200000000
χ1424-4-221−1+3i32−1−3i32-22-11−3i321+3i32−2i2i−2ζ7−2ζ112ζ72ζ111-100iζ7ζ11−i−ζ7−ζ1100000000−4i4i2i−2i−i−2ζ7+ζ11ζ7−2ζ112i−2ii2ζ7−ζ11−ζ7+2ζ11-221−i31+i3−1+i3−1−i3−ii001−1+i32−1−i32-11−i321+i3200000000-442-2-11−3i321+3i322-21−1+3i32−1−3i322i−2i2ζ72ζ11−2ζ7−2ζ11-1100−i−ζ7−ζ11iζ7ζ11000000004i−4i−2i2ii2ζ7−ζ11−ζ7+2ζ11−2i2i−i−2ζ7+ζ11ζ7−2ζ112-2−1+i3−1−i31−i31+i3i−i00-11−i321+i321−1+i32−1−i3200000000
χ14388-4-4-42222-422000000-1-10000000000000000−8i−8i4i4i4i−2i−2i−2i−2i4i−2i−2i000000ii0000000000000000-8-8444-2-2-2-24-2-20000001100000000000000008i8i−4i−4i−4i2i2i2i2i−4i2i2i000000−i−i0000000000000000
χ1448-8-44-4222-24-2-2000000-110000000000000000−8i8i4i−4i4i−2i−2i−2i2i−4i2i2i000000i−i0000000000000000-884-44-2-2-22-4220000001-100000000000000008i−8i−4i4i−4i2i2i2i−2i4i−2i−2i000000−ii0000000000000000

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