Finite Group Databasebeta

← Group #13181112

Character table — Group #13181112

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11224444444466666688991212121212121818181836365454112244444444666666889912121212121218181818363654541122444444446666668899121212121212181818183636545411224444444466666688991212121212121818181836365454
order123633336666441212121236221212121212124466121244226666666666441212121266221212121212124466121244226666666666441212121266221212121212124466121244226666666666441212121266221212121212124466121244
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−i1-1-11iii−i−i−ii−i1-1i−i1-11-11-11111-1-1-1-1i−iii−i−i1-1-11iii−i−i−ii−i1-1i−i1-11-11-11111-1-1-1-1i−iii−i−i1-1-11iii−i−i−ii−i1-1i−i1-11-11-11111-1-1-1-1i−iii−i−i1-1-11iii−i−i−ii−i1-1i−i1-1
χ61-11-11111-1-1-1-1i−iii−i−i1-1-11iii−i−i−i−ii1-1−ii-111-11-11111-1-1-1-1i−iii−i−i1-1-11iii−i−i−i−ii1-1−ii-111-11-11111-1-1-1-1i−iii−i−i1-1-11iii−i−i−i−ii1-1−ii-111-11-11111-1-1-1-1i−iii−i−i1-1-11iii−i−i−i−ii1-1−ii-11
χ71-11-11111-1-1-1-1−ii−i−iii1-1-11−i−i−iiiii−i1-1i−i-111-11-11111-1-1-1-1−ii−i−iii1-1-11−i−i−iiiii−i1-1i−i-111-11-11111-1-1-1-1−ii−i−iii1-1-11−i−i−iiiii−i1-1i−i-111-11-11111-1-1-1-1−ii−i−iii1-1-11−i−i−iiiii−i1-1i−i-11
χ81-11-11111-1-1-1-1−ii−i−iii1-1-11−i−i−iiii−ii1-1−ii1-11-11-11111-1-1-1-1−ii−i−iii1-1-11−i−i−iiii−ii1-1−ii1-11-11-11111-1-1-1-1−ii−i−iii1-1-11−i−i−iiii−ii1-1−ii1-11-11-11111-1-1-1-1−ii−i−iii1-1-11−i−i−iiii−ii1-1−ii1-1
χ922222222222200000022-2-200000000-2-2000022222222222200000022-2-200000000-2-2000022222222222200000022-2-200000000-2-2000022222222222200000022-2-200000000-2-20000
χ1022-1-122-1-12-1-1200−i3i3−i3i3-1-1-2-20−i3i30−i3i30011000022-1-122-1-12-1-1200−i3i3−i3i3-1-1-2-20−i3i30−i3i30011000022-1-122-1-12-1-1200−i3i3−i3i3-1-1-2-20−i3i30−i3i30011000022-1-122-1-12-1-1200−i3i3−i3i3-1-1-2-20−i3i30−i3i300110000
χ1122-1-122-1-12-1-1200i3−i3i3−i3-1-1-2-20i3−i30i3−i30011000022-1-122-1-12-1-1200i3−i3i3−i3-1-1-2-20i3−i30i3−i30011000022-1-122-1-12-1-1200i3−i3i3−i3-1-1-2-20i3−i30i3−i30011000022-1-122-1-12-1-1200i3−i3i3−i3-1-1-2-20i3−i30i3−i300110000
χ1222-1-122-1-12-1-1222-1-1-1-1-1-1222-1-12-1-100-1-1000022-1-122-1-12-1-1222-1-1-1-1-1-1222-1-12-1-100-1-1000022-1-122-1-12-1-1222-1-1-1-1-1-1222-1-12-1-100-1-1000022-1-122-1-12-1-1222-1-1-1-1-1-1222-1-12-1-100-1-10000
χ1322-1-122-1-12-1-12-2-21111-1-122-211-21100-1-1000022-1-122-1-12-1-12-2-21111-1-122-211-21100-1-1000022-1-122-1-12-1-12-2-21111-1-122-211-21100-1-1000022-1-122-1-12-1-12-2-21111-1-122-211-21100-1-10000
χ142-22-22222-2-2-2-20000002-22-200000000-2200002-22-22222-2-2-2-20000002-22-200000000-2200002-22-22222-2-2-2-20000002-22-200000000-2200002-22-22222-2-2-2-20000002-22-200000000-220000
χ152-2-1122-1-1-211-2003−3−33-112-203−30−33001-100002-2-1122-1-1-211-2003−3−33-112-203−30−33001-100002-2-1122-1-1-211-2003−3−33-112-203−30−33001-100002-2-1122-1-1-211-2003−3−33-112-203−30−33001-10000
χ162-2-1122-1-1-211-200−333−3-112-20−3303−3001-100002-2-1122-1-1-211-200−333−3-112-20−3303−3001-100002-2-1122-1-1-211-200−333−3-112-20−3303−3001-100002-2-1122-1-1-211-200−333−3-112-20−3303−3001-10000
χ172-2-1122-1-1-211-22i−2i−i−iii-11-222i−i−i−2iii00-1100002-2-1122-1-1-211-22i−2i−i−iii-11-222i−i−i−2iii00-1100002-2-1122-1-1-211-22i−2i−i−iii-11-222i−i−i−2iii00-1100002-2-1122-1-1-211-22i−2i−i−iii-11-222i−i−i−2iii00-110000
χ182-2-1122-1-1-211-2−2i2iii−i−i-11-22−2iii2i−i−i00-1100002-2-1122-1-1-211-2−2i2iii−i−i-11-22−2iii2i−i−i00-1100002-2-1122-1-1-211-2−2i2iii−i−i-11-22−2iii2i−i−i00-1100002-2-1122-1-1-211-2−2i2iii−i−i-11-22−2iii2i−i−i00-110000
χ1944441-211111-2222222-2-200-1-1-1-1-1-10000000044441-211111-2222222-2-200-1-1-1-1-1-10000000044441-211111-2222222-2-200-1-1-1-1-1-10000000044441-211111-2222222-2-200-1-1-1-1-1-100000000
χ2044441-211111-2-2-2-2-2-2-2-2-2001111110000000044441-211111-2-2-2-2-2-2-2-2-2001111110000000044441-211111-2-2-2-2-2-2-2-2-2001111110000000044441-211111-2-2-2-2-2-2-2-2-20011111100000000
χ214444-21-2-2-2-2-2100000011000000002200-1-1004444-21-2-2-2-2-2100000011000000002200-1-1004444-21-2-2-2-2-2100000011000000002200-1-1004444-21-2-2-2-2-2100000011000000002200-1-100
χ224444-21-2-2-2-2-210000001100000000-2-20011004444-21-2-2-2-2-210000001100000000-2-20011004444-21-2-2-2-2-210000001100000000-2-20011004444-21-2-2-2-2-210000001100000000-2-2001100
χ2344-2-21-2−1−3i32−1+3i321−1−3i32−1+3i32-222−1−i3−1+i3−1−i3−1+i31100-11+i321−i32-11+i321−i320000000044-2-21-2−1−3i32−1+3i321−1−3i32−1+3i32-222−1−i3−1+i3−1−i3−1+i31100-11+i321−i32-11+i321−i320000000044-2-21-2−1−3i32−1+3i321−1−3i32−1+3i32-222−1−i3−1+i3−1−i3−1+i31100-11+i321−i32-11+i321−i320000000044-2-21-2−1−3i32−1+3i321−1−3i32−1+3i32-222−1−i3−1+i3−1−i3−1+i31100-11+i321−i32-11+i321−i3200000000
χ2444-2-21-2−1−3i32−1+3i321−1−3i32−1+3i32-2-2-21+i31−i31+i31−i311001−1−i32−1+i321−1−i32−1+i320000000044-2-21-2−1−3i32−1+3i321−1−3i32−1+3i32-2-2-21+i31−i31+i31−i311001−1−i32−1+i321−1−i32−1+i320000000044-2-21-2−1−3i32−1+3i321−1−3i32−1+3i32-2-2-21+i31−i31+i31−i311001−1−i32−1+i321−1−i32−1+i320000000044-2-21-2−1−3i32−1+3i321−1−3i32−1+3i32-2-2-21+i31−i31+i31−i311001−1−i32−1+i321−1−i32−1+i3200000000
χ2544-2-21-2−1+3i32−1−3i321−1+3i32−1−3i32-222−1+i3−1−i3−1+i3−1−i31100-11−i321+i32-11−i321+i320000000044-2-21-2−1+3i32−1−3i321−1+3i32−1−3i32-222−1+i3−1−i3−1+i3−1−i31100-11−i321+i32-11−i321+i320000000044-2-21-2−1+3i32−1−3i321−1+3i32−1−3i32-222−1+i3−1−i3−1+i3−1−i31100-11−i321+i32-11−i321+i320000000044-2-21-2−1+3i32−1−3i321−1+3i32−1−3i32-222−1+i3−1−i3−1+i3−1−i31100-11−i321+i32-11−i321+i3200000000
χ2644-2-21-2−1+3i32−1−3i321−1+3i32−1−3i32-2-2-21−i31+i31−i31+i311001−1+i32−1−i321−1+i32−1−i320000000044-2-21-2−1+3i32−1−3i321−1+3i32−1−3i32-2-2-21−i31+i31−i31+i311001−1+i32−1−i321−1+i32−1−i320000000044-2-21-2−1+3i32−1−3i321−1+3i32−1−3i32-2-2-21−i31+i31−i31+i311001−1+i32−1−i321−1+i32−1−i320000000044-2-21-2−1+3i32−1−3i321−1+3i32−1−3i32-2-2-21−i31+i31−i31+i311001−1+i32−1−i321−1+i32−1−i3200000000
χ274-44-41-211-1-1-122i−2i2i2i−2i−2i-2200−i−i−iiii000000004-44-41-211-1-1-122i−2i2i2i−2i−2i-2200−i−i−iiii000000004-44-41-211-1-1-122i−2i2i2i−2i−2i-2200−i−i−iiii000000004-44-41-211-1-1-122i−2i2i2i−2i−2i-2200−i−i−iiii00000000
χ284-44-41-211-1-1-12−2i2i−2i−2i2i2i-2200iii−i−i−i000000004-44-41-211-1-1-12−2i2i−2i−2i2i2i-2200iii−i−i−i000000004-44-41-211-1-1-12−2i2i−2i−2i2i2i-2200iii−i−i−i000000004-44-41-211-1-1-12−2i2i−2i−2i2i2i-2200iii−i−i−i00000000
χ294-44-4-21-2-2222-10000001-1000000002i−2i00−ii004-44-4-21-2-2222-10000001-1000000002i−2i00−ii004-44-4-21-2-2222-10000001-1000000002i−2i00−ii004-44-4-21-2-2222-10000001-1000000002i−2i00−ii00
χ304-44-4-21-2-2222-10000001-100000000−2i2i00i−i004-44-4-21-2-2222-10000001-100000000−2i2i00i−i004-44-4-21-2-2222-10000001-100000000−2i2i00i−i004-44-4-21-2-2222-10000001-100000000−2i2i00i−i00
χ314-4-221-2−1−3i32−1+3i32-11+3i321−3i3222i−2i2ζ112ζ7−2ζ11−2ζ71-100−i−ζ11−ζ7iζ11ζ7000000004-4-221-2−1−3i32−1+3i32-11+3i321−3i3222i−2i2ζ112ζ7−2ζ11−2ζ71-100−i−ζ11−ζ7iζ11ζ7000000004-4-221-2−1−3i32−1+3i32-11+3i321−3i3222i−2i2ζ112ζ7−2ζ11−2ζ71-100−i−ζ11−ζ7iζ11ζ7000000004-4-221-2−1−3i32−1+3i32-11+3i321−3i3222i−2i2ζ112ζ7−2ζ11−2ζ71-100−i−ζ11−ζ7iζ11ζ700000000
χ324-4-221-2−1−3i32−1+3i32-11+3i321−3i322−2i2i−2ζ11−2ζ72ζ112ζ71-100iζ11ζ7−i−ζ11−ζ7000000004-4-221-2−1−3i32−1+3i32-11+3i321−3i322−2i2i−2ζ11−2ζ72ζ112ζ71-100iζ11ζ7−i−ζ11−ζ7000000004-4-221-2−1−3i32−1+3i32-11+3i321−3i322−2i2i−2ζ11−2ζ72ζ112ζ71-100iζ11ζ7−i−ζ11−ζ7000000004-4-221-2−1−3i32−1+3i32-11+3i321−3i322−2i2i−2ζ11−2ζ72ζ112ζ71-100iζ11ζ7−i−ζ11−ζ700000000
χ334-4-221-2−1+3i32−1−3i32-11−3i321+3i3222i−2i2ζ72ζ11−2ζ7−2ζ111-100−i−ζ7−ζ11iζ7ζ11000000004-4-221-2−1+3i32−1−3i32-11−3i321+3i3222i−2i2ζ72ζ11−2ζ7−2ζ111-100−i−ζ7−ζ11iζ7ζ11000000004-4-221-2−1+3i32−1−3i32-11−3i321+3i3222i−2i2ζ72ζ11−2ζ7−2ζ111-100−i−ζ7−ζ11iζ7ζ11000000004-4-221-2−1+3i32−1−3i32-11−3i321+3i3222i−2i2ζ72ζ11−2ζ7−2ζ111-100−i−ζ7−ζ11iζ7ζ1100000000
χ344-4-221-2−1+3i32−1−3i32-11−3i321+3i322−2i2i−2ζ7−2ζ112ζ72ζ111-100iζ7ζ11−i−ζ7−ζ11000000004-4-221-2−1+3i32−1−3i32-11−3i321+3i322−2i2i−2ζ7−2ζ112ζ72ζ111-100iζ7ζ11−i−ζ7−ζ11000000004-4-221-2−1+3i32−1−3i32-11−3i321+3i322−2i2i−2ζ7−2ζ112ζ72ζ111-100iζ7ζ11−i−ζ7−ζ11000000004-4-221-2−1+3i32−1−3i32-11−3i321+3i322−2i2i−2ζ7−2ζ112ζ72ζ111-100iζ7ζ11−i−ζ7−ζ1100000000
χ3588-4-4-4222-4222000000-1-1000000000000000088-4-4-4222-4222000000-1-1000000000000000088-4-4-4222-4222000000-1-1000000000000000088-4-4-4222-4222000000-1-10000000000000000
χ368-8-44-42224-2-2-2000000-1100000000000000008-8-44-42224-2-2-2000000-1100000000000000008-8-44-42224-2-2-2000000-1100000000000000008-8-44-42224-2-2-2000000-110000000000000000
χ37111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ381111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ39111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-111
χ40111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1-1
χ411-11-11111-1-1-1-1i−iii−i−i1-1-11iii−i−i−ii−i1-1i−i1-1-11-11-1-1-1-11111−ii−i−iii-111-1−i−i−iiii−ii-11−ii-111-11-11111-1-1-1-1i−iii−i−i1-1-11iii−i−i−ii−i1-1i−i1-1-11-11-1-1-1-11111−ii−i−iii-111-1−i−i−iiii−ii-11−ii-11
χ421-11-11111-1-1-1-1i−iii−i−i1-1-11iii−i−i−i−ii1-1−ii-11-11-11-1-1-1-11111−ii−i−iii-111-1−i−i−iiiii−i-11i−i1-11-11-11111-1-1-1-1i−iii−i−i1-1-11iii−i−i−i−ii1-1−ii-11-11-11-1-1-1-11111−ii−i−iii-111-1−i−i−iiiii−i-11i−i1-1
χ431-11-11111-1-1-1-1−ii−i−iii1-1-11−i−i−iiiii−i1-1i−i-11-11-11-1-1-1-11111i−iii−i−i-111-1iii−i−i−i−ii-11−ii1-11-11-11111-1-1-1-1−ii−i−iii1-1-11−i−i−iiiii−i1-1i−i-11-11-11-1-1-1-11111i−iii−i−i-111-1iii−i−i−i−ii-11−ii1-1
χ441-11-11111-1-1-1-1−ii−i−iii1-1-11−i−i−iiii−ii1-1−ii1-1-11-11-1-1-1-11111i−iii−i−i-111-1iii−i−i−ii−i-11i−i-111-11-11111-1-1-1-1−ii−i−iii1-1-11−i−i−iiii−ii1-1−ii1-1-11-11-1-1-1-11111i−iii−i−i-111-1iii−i−i−ii−i-11i−i-11
χ4522222222222200000022-2-200000000-2-20000-2-2-2-2-2-2-2-2-2-2-2-2000000-2-2220000000022000022222222222200000022-2-200000000-2-20000-2-2-2-2-2-2-2-2-2-2-2-2000000-2-22200000000220000
χ4622-1-122-1-12-1-1200−i3i3−i3i3-1-1-2-20−i3i30−i3i300110000-2-211-2-211-211-200i3−i3i3−i311220i3−i30i3−i300-1-1000022-1-122-1-12-1-1200−i3i3−i3i3-1-1-2-20−i3i30−i3i300110000-2-211-2-211-211-200i3−i3i3−i311220i3−i30i3−i300-1-10000
χ4722-1-122-1-12-1-1200i3−i3i3−i3-1-1-2-20i3−i30i3−i300110000-2-211-2-211-211-200−i3i3−i3i311220−i3i30−i3i300-1-1000022-1-122-1-12-1-1200i3−i3i3−i3-1-1-2-20i3−i30i3−i300110000-2-211-2-211-211-200−i3i3−i3i311220−i3i30−i3i300-1-10000
χ4822-1-122-1-12-1-1222-1-1-1-1-1-1222-1-12-1-100-1-10000-2-211-2-211-211-2-2-2111111-2-2-211-2110011000022-1-122-1-12-1-1222-1-1-1-1-1-1222-1-12-1-100-1-10000-2-211-2-211-211-2-2-2111111-2-2-211-21100110000
χ4922-1-122-1-12-1-12-2-21111-1-122-211-21100-1-10000-2-211-2-211-211-222-1-1-1-111-2-22-1-12-1-10011000022-1-122-1-12-1-12-2-21111-1-122-211-21100-1-10000-2-211-2-211-211-222-1-1-1-111-2-22-1-12-1-100110000
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χ1014-44-4-21-2-2222-10000001-1000000002i−2i00−ii004-44-4-21-2-2222-10000001-1000000002i−2i00−ii00-44-442-122-2-2-21000000-1100000000−2i2i00i−i00-44-442-122-2-2-21000000-1100000000−2i2i00i−i00
χ1024-44-4-21-2-2222-10000001-100000000−2i2i00i−i004-44-4-21-2-2222-10000001-100000000−2i2i00i−i00-44-442-122-2-2-21000000-11000000002i−2i00−ii00-44-442-122-2-2-21000000-11000000002i−2i00−ii00
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χ1088-8-44-42224-2-2-2000000-1100000000000000008-8-44-42224-2-2-2000000-110000000000000000-884-44-2-2-2-42220000001-10000000000000000-884-44-2-2-2-42220000001-10000000000000000
χ109111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111
χ1101111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111111111111111-1-111-1-1-1-1
χ111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ112111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111
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χ1151-11-11111-1-1-1-1−ii−i−iii1-1-11−i−i−iiiii−i1-1i−i-11-11-11-1-1-1-11111i−iii−i−i-111-1iii−i−i−i−ii-11−ii1-1-11-11-1-1-1-11111i−iii−i−i-111-1iii−i−i−i−ii-11−ii1-11-11-11111-1-1-1-1−ii−i−iii1-1-11−i−i−iiiii−i1-1i−i-11
χ1161-11-11111-1-1-1-1−ii−i−iii1-1-11−i−i−iiii−ii1-1−ii1-1-11-11-1-1-1-11111i−iii−i−i-111-1iii−i−i−ii−i-11i−i-11-11-11-1-1-1-11111i−iii−i−i-111-1iii−i−i−ii−i-11i−i-111-11-11111-1-1-1-1−ii−i−iii1-1-11−i−i−iiii−ii1-1−ii1-1
χ11722222222222200000022-2-200000000-2-20000-2-2-2-2-2-2-2-2-2-2-2-2000000-2-22200000000220000-2-2-2-2-2-2-2-2-2-2-2-2000000-2-2220000000022000022222222222200000022-2-200000000-2-20000
χ11822-1-122-1-12-1-1200−i3i3−i3i3-1-1-2-20−i3i30−i3i300110000-2-211-2-211-211-200i3−i3i3−i311220i3−i30i3−i300-1-10000-2-211-2-211-211-200i3−i3i3−i311220i3−i30i3−i300-1-1000022-1-122-1-12-1-1200−i3i3−i3i3-1-1-2-20−i3i30−i3i300110000
χ11922-1-122-1-12-1-1200i3−i3i3−i3-1-1-2-20i3−i30i3−i300110000-2-211-2-211-211-200−i3i3−i3i311220−i3i30−i3i300-1-10000-2-211-2-211-211-200−i3i3−i3i311220−i3i30−i3i300-1-1000022-1-122-1-12-1-1200i3−i3i3−i3-1-1-2-20i3−i30i3−i300110000
χ12022-1-122-1-12-1-1222-1-1-1-1-1-1222-1-12-1-100-1-10000-2-211-2-211-211-2-2-2111111-2-2-211-21100110000-2-211-2-211-211-2-2-2111111-2-2-211-2110011000022-1-122-1-12-1-1222-1-1-1-1-1-1222-1-12-1-100-1-10000
χ12122-1-122-1-12-1-12-2-21111-1-122-211-21100-1-10000-2-211-2-211-211-222-1-1-1-111-2-22-1-12-1-100110000-2-211-2-211-211-222-1-1-1-111-2-22-1-12-1-10011000022-1-122-1-12-1-12-2-21111-1-122-211-21100-1-10000
χ1222-22-22222-2-2-2-20000002-22-200000000-220000-22-22-2-2-2-22222000000-22-22000000002-20000-22-22-2-2-2-22222000000-22-22000000002-200002-22-22222-2-2-2-20000002-22-200000000-220000
χ1232-2-1122-1-1-211-2003−3−33-112-203−30−33001-10000-221-1-2-2112-1-1200−333−31-1-220−3303−300-110000-221-1-2-2112-1-1200−333−31-1-220−3303−300-1100002-2-1122-1-1-211-2003−3−33-112-203−30−33001-10000
χ1242-2-1122-1-1-211-200−333−3-112-20−3303−3001-10000-221-1-2-2112-1-12003−3−331-1-2203−30−3300-110000-221-1-2-2112-1-12003−3−331-1-2203−30−3300-1100002-2-1122-1-1-211-200−333−3-112-20−3303−3001-10000
χ1252-2-1122-1-1-211-22i−2i−i−iii-11-222i−i−i−2iii00-110000-221-1-2-2112-1-12−2i2iii−i−i1-12-2−2iii2i−i−i001-10000-221-1-2-2112-1-12−2i2iii−i−i1-12-2−2iii2i−i−i001-100002-2-1122-1-1-211-22i−2i−i−iii-11-222i−i−i−2iii00-110000
χ1262-2-1122-1-1-211-2−2i2iii−i−i-11-22−2iii2i−i−i00-110000-221-1-2-2112-1-122i−2i−i−iii1-12-22i−i−i−2iii001-10000-221-1-2-2112-1-122i−2i−i−iii1-12-22i−i−i−2iii001-100002-2-1122-1-1-211-2−2i2iii−i−i-11-22−2iii2i−i−i00-110000
χ12744441-211111-2222222-2-200-1-1-1-1-1-100000000-4-4-4-4-12-1-1-1-1-12-2-2-2-2-2-2220011111100000000-4-4-4-4-12-1-1-1-1-12-2-2-2-2-2-222001111110000000044441-211111-2222222-2-200-1-1-1-1-1-100000000
χ12844441-211111-2-2-2-2-2-2-2-2-20011111100000000-4-4-4-4-12-1-1-1-1-122222222200-1-1-1-1-1-100000000-4-4-4-4-12-1-1-1-1-122222222200-1-1-1-1-1-10000000044441-211111-2-2-2-2-2-2-2-2-20011111100000000
χ1294444-21-2-2-2-2-2100000011000000002200-1-100-4-4-4-42-122222-1000000-1-100000000-2-2001100-4-4-4-42-122222-1000000-1-100000000-2-20011004444-21-2-2-2-2-2100000011000000002200-1-100
χ1304444-21-2-2-2-2-210000001100000000-2-2001100-4-4-4-42-122222-1000000-1-1000000002200-1-100-4-4-4-42-122222-1000000-1-1000000002200-1-1004444-21-2-2-2-2-210000001100000000-2-2001100
χ13144-2-21-2−1−3i32−1+3i321−1−3i32−1+3i32-222−1−i3−1+i3−1−i3−1+i31100-11+i321−i32-11+i321−i3200000000-4-422-121+3i321−3i32-11+3i321−3i322-2-21+i31−i31+i31−i3-1-1001−1−i32−1+i321−1−i32−1+i3200000000-4-422-121+3i321−3i32-11+3i321−3i322-2-21+i31−i31+i31−i3-1-1001−1−i32−1+i321−1−i32−1+i320000000044-2-21-2−1−3i32−1+3i321−1−3i32−1+3i32-222−1−i3−1+i3−1−i3−1+i31100-11+i321−i32-11+i321−i3200000000
χ13244-2-21-2−1−3i32−1+3i321−1−3i32−1+3i32-2-2-21+i31−i31+i31−i311001−1−i32−1+i321−1−i32−1+i3200000000-4-422-121+3i321−3i32-11+3i321−3i32222−1−i3−1+i3−1−i3−1+i3-1-100-11+i321−i32-11+i321−i3200000000-4-422-121+3i321−3i32-11+3i321−3i32222−1−i3−1+i3−1−i3−1+i3-1-100-11+i321−i32-11+i321−i320000000044-2-21-2−1−3i32−1+3i321−1−3i32−1+3i32-2-2-21+i31−i31+i31−i311001−1−i32−1+i321−1−i32−1+i3200000000
χ13344-2-21-2−1+3i32−1−3i321−1+3i32−1−3i32-222−1+i3−1−i3−1+i3−1−i31100-11−i321+i32-11−i321+i3200000000-4-422-121−3i321+3i32-11−3i321+3i322-2-21−i31+i31−i31+i3-1-1001−1+i32−1−i321−1+i32−1−i3200000000-4-422-121−3i321+3i32-11−3i321+3i322-2-21−i31+i31−i31+i3-1-1001−1+i32−1−i321−1+i32−1−i320000000044-2-21-2−1+3i32−1−3i321−1+3i32−1−3i32-222−1+i3−1−i3−1+i3−1−i31100-11−i321+i32-11−i321+i3200000000
χ13444-2-21-2−1+3i32−1−3i321−1+3i32−1−3i32-2-2-21−i31+i31−i31+i311001−1+i32−1−i321−1+i32−1−i3200000000-4-422-121−3i321+3i32-11−3i321+3i32222−1+i3−1−i3−1+i3−1−i3-1-100-11−i321+i32-11−i321+i3200000000-4-422-121−3i321+3i32-11−3i321+3i32222−1+i3−1−i3−1+i3−1−i3-1-100-11−i321+i32-11−i321+i320000000044-2-21-2−1+3i32−1−3i321−1+3i32−1−3i32-2-2-21−i31+i31−i31+i311001−1+i32−1−i321−1+i32−1−i3200000000
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χ1364-44-41-211-1-1-12−2i2i−2i−2i2i2i-2200iii−i−i−i00000000-44-44-12-1-1111-22i−2i2i2i−2i−2i2-200−i−i−iiii00000000-44-44-12-1-1111-22i−2i2i2i−2i−2i2-200−i−i−iiii000000004-44-41-211-1-1-12−2i2i−2i−2i2i2i-2200iii−i−i−i00000000
χ1374-44-4-21-2-2222-10000001-1000000002i−2i00−ii00-44-442-122-2-2-21000000-1100000000−2i2i00i−i00-44-442-122-2-2-21000000-1100000000−2i2i00i−i004-44-4-21-2-2222-10000001-1000000002i−2i00−ii00
χ1384-44-4-21-2-2222-10000001-100000000−2i2i00i−i00-44-442-122-2-2-21000000-11000000002i−2i00−ii00-44-442-122-2-2-21000000-11000000002i−2i00−ii004-44-4-21-2-2222-10000001-100000000−2i2i00i−i00
χ1394-4-221-2−1−3i32−1+3i32-11+3i321−3i3222i−2i2ζ112ζ7−2ζ11−2ζ71-100−i−ζ11−ζ7iζ11ζ700000000-442-2-121+3i321−3i321−1−3i32−1+3i32-2−2i2i−2ζ11−2ζ72ζ112ζ7-1100iζ11ζ7−i−ζ11−ζ700000000-442-2-121+3i321−3i321−1−3i32−1+3i32-2−2i2i−2ζ11−2ζ72ζ112ζ7-1100iζ11ζ7−i−ζ11−ζ7000000004-4-221-2−1−3i32−1+3i32-11+3i321−3i3222i−2i2ζ112ζ7−2ζ11−2ζ71-100−i−ζ11−ζ7iζ11ζ700000000
χ1404-4-221-2−1−3i32−1+3i32-11+3i321−3i322−2i2i−2ζ11−2ζ72ζ112ζ71-100iζ11ζ7−i−ζ11−ζ700000000-442-2-121+3i321−3i321−1−3i32−1+3i32-22i−2i2ζ112ζ7−2ζ11−2ζ7-1100−i−ζ11−ζ7iζ11ζ700000000-442-2-121+3i321−3i321−1−3i32−1+3i32-22i−2i2ζ112ζ7−2ζ11−2ζ7-1100−i−ζ11−ζ7iζ11ζ7000000004-4-221-2−1−3i32−1+3i32-11+3i321−3i322−2i2i−2ζ11−2ζ72ζ112ζ71-100iζ11ζ7−i−ζ11−ζ700000000
χ1414-4-221-2−1+3i32−1−3i32-11−3i321+3i3222i−2i2ζ72ζ11−2ζ7−2ζ111-100−i−ζ7−ζ11iζ7ζ1100000000-442-2-121−3i321+3i321−1+3i32−1−3i32-2−2i2i−2ζ7−2ζ112ζ72ζ11-1100iζ7ζ11−i−ζ7−ζ1100000000-442-2-121−3i321+3i321−1+3i32−1−3i32-2−2i2i−2ζ7−2ζ112ζ72ζ11-1100iζ7ζ11−i−ζ7−ζ11000000004-4-221-2−1+3i32−1−3i32-11−3i321+3i3222i−2i2ζ72ζ11−2ζ7−2ζ111-100−i−ζ7−ζ11iζ7ζ1100000000
χ1424-4-221-2−1+3i32−1−3i32-11−3i321+3i322−2i2i−2ζ7−2ζ112ζ72ζ111-100iζ7ζ11−i−ζ7−ζ1100000000-442-2-121−3i321+3i321−1+3i32−1−3i32-22i−2i2ζ72ζ11−2ζ7−2ζ11-1100−i−ζ7−ζ11iζ7ζ1100000000-442-2-121−3i321+3i321−1+3i32−1−3i32-22i−2i2ζ72ζ11−2ζ7−2ζ11-1100−i−ζ7−ζ11iζ7ζ11000000004-4-221-2−1+3i32−1−3i32-11−3i321+3i322−2i2i−2ζ7−2ζ112ζ72ζ111-100iζ7ζ11−i−ζ7−ζ1100000000
χ14388-4-4-4222-4222000000-1-10000000000000000-8-8444-2-2-24-2-2-2000000110000000000000000-8-8444-2-2-24-2-2-200000011000000000000000088-4-4-4222-4222000000-1-10000000000000000
χ1448-8-44-42224-2-2-2000000-110000000000000000-884-44-2-2-2-42220000001-10000000000000000-884-44-2-2-2-42220000001-100000000000000008-8-44-42224-2-2-2000000-110000000000000000

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