Finite Group Databasebeta

← Group #13167107

Character table — Group #13167107

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11224444444466666688991212121212121818181836365454112244444444666666889912121212121218181818363654541122444444446666668899121212121212181818183636545411224444444466666688991212121212121818181836365454
order12363333666622666636226666664466121244441212121212121212121244121212121212441212121212124412121212442266666666662266666622666666446612124444121212121212121212124412121212121244121212121212441212121244
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
χ51-11-11111-1-1-1-11-111-1-11-11-1111-1-1-1i−i1-1i−ii−i1-11-11111-1-1-1-11-111-1-11-11-1111-1-1-1i−i1-1i−ii−i1-11-11111-1-1-1-11-111-1-11-11-1111-1-1-1i−i1-1i−ii−i1-11-11111-1-1-1-11-111-1-11-11-1111-1-1-1i−i1-1i−ii−i
χ61-11-11111-1-1-1-11-111-1-11-11-1111-1-1-1−ii1-1−ii−ii1-11-11111-1-1-1-11-111-1-11-11-1111-1-1-1−ii1-1−ii−ii1-11-11111-1-1-1-11-111-1-11-11-1111-1-1-1−ii1-1−ii−ii1-11-11111-1-1-1-11-111-1-11-11-1111-1-1-1−ii1-1−ii−ii
χ71-11-11111-1-1-1-1-11-1-1111-11-1-1-1-1111i−i1-1i−i−ii1-11-11111-1-1-1-1-11-1-1111-11-1-1-1-1111i−i1-1i−i−ii1-11-11111-1-1-1-1-11-1-1111-11-1-1-1-1111i−i1-1i−i−ii1-11-11111-1-1-1-1-11-1-1111-11-1-1-1-1111i−i1-1i−i−ii
χ81-11-11111-1-1-1-1-11-1-1111-11-1-1-1-1111−ii1-1−iii−i1-11-11111-1-1-1-1-11-1-1111-11-1-1-1-1111−ii1-1−iii−i1-11-11111-1-1-1-1-11-1-1111-11-1-1-1-1111−ii1-1−iii−i1-11-11111-1-1-1-1-11-1-1111-11-1-1-1-1111−ii1-1−iii−i
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
χ142-22-22222-2-2-2-20000002-2-2200000000-2200002-22-22222-2-2-2-20000002-2-2200000000-2200002-22-22222-2-2-2-20000002-2-2200000000-2200002-22-22222-2-2-2-20000002-2-2200000000-220000
χ152-2-1122-1-1-211-200−i3i3i3−i3-11-220−i3i30i3−i3001-100002-2-1122-1-1-211-200−i3i3i3−i3-11-220−i3i30i3−i3001-100002-2-1122-1-1-211-200−i3i3i3−i3-11-220−i3i30i3−i3001-100002-2-1122-1-1-211-200−i3i3i3−i3-11-220−i3i30i3−i3001-10000
χ162-2-1122-1-1-211-200i3−i3−i3i3-11-220i3−i30−i3i3001-100002-2-1122-1-1-211-200i3−i3−i3i3-11-220i3−i30−i3i3001-100002-2-1122-1-1-211-200i3−i3−i3i3-11-220i3−i30−i3i3001-100002-2-1122-1-1-211-200i3−i3−i3i3-11-220i3−i30−i3i3001-10000
χ172-2-1122-1-1-211-22-2-1-111-112-22-1-1-21100-1100002-2-1122-1-1-211-22-2-1-111-112-22-1-1-21100-1100002-2-1122-1-1-211-22-2-1-111-112-22-1-1-21100-1100002-2-1122-1-1-211-22-2-1-111-112-22-1-1-21100-110000
χ182-2-1122-1-1-211-2-2211-1-1-112-2-2112-1-100-1100002-2-1122-1-1-211-2-2211-1-1-112-2-2112-1-100-1100002-2-1122-1-1-211-2-2211-1-1-112-2-2112-1-100-1100002-2-1122-1-1-211-2-2211-1-1-112-2-2112-1-100-110000
χ1944441-2-2-2-2-2-2100000011000000002200-1-10044441-2-2-2-2-2-2100000011000000002200-1-10044441-2-2-2-2-2-2100000011000000002200-1-10044441-2-2-2-2-2-2100000011000000002200-1-100
χ2044441-2-2-2-2-2-210000001100000000-2-200110044441-2-2-2-2-2-210000001100000000-2-200110044441-2-2-2-2-2-210000001100000000-2-200110044441-2-2-2-2-2-210000001100000000-2-2001100
χ214444-2111111-2222222-2-200-1-1-1-1-1-1000000004444-2111111-2222222-2-200-1-1-1-1-1-1000000004444-2111111-2222222-2-200-1-1-1-1-1-1000000004444-2111111-2222222-2-200-1-1-1-1-1-100000000
χ224444-2111111-2-2-2-2-2-2-2-2-200111111000000004444-2111111-2-2-2-2-2-2-2-2-200111111000000004444-2111111-2-2-2-2-2-2-2-2-200111111000000004444-2111111-2-2-2-2-2-2-2-2-20011111100000000
χ2344-2-2-21−1−3i32−1+3i321−1−3i32−1+3i32-222−1−i3−1+i3−1−i3−1+i31100-11+i321−i32-11+i321−i320000000044-2-2-21−1−3i32−1+3i321−1−3i32−1+3i32-222−1−i3−1+i3−1−i3−1+i31100-11+i321−i32-11+i321−i320000000044-2-2-21−1−3i32−1+3i321−1−3i32−1+3i32-222−1−i3−1+i3−1−i3−1+i31100-11+i321−i32-11+i321−i320000000044-2-2-21−1−3i32−1+3i321−1−3i32−1+3i32-222−1−i3−1+i3−1−i3−1+i31100-11+i321−i32-11+i321−i3200000000
χ2444-2-2-21−1−3i32−1+3i321−1−3i32−1+3i32-2-2-21+i31−i31+i31−i311001−1−i32−1+i321−1−i32−1+i320000000044-2-2-21−1−3i32−1+3i321−1−3i32−1+3i32-2-2-21+i31−i31+i31−i311001−1−i32−1+i321−1−i32−1+i320000000044-2-2-21−1−3i32−1+3i321−1−3i32−1+3i32-2-2-21+i31−i31+i31−i311001−1−i32−1+i321−1−i32−1+i320000000044-2-2-21−1−3i32−1+3i321−1−3i32−1+3i32-2-2-21+i31−i31+i31−i311001−1−i32−1+i321−1−i32−1+i3200000000
χ2544-2-2-21−1+3i32−1−3i321−1+3i32−1−3i32-222−1+i3−1−i3−1+i3−1−i31100-11−i321+i32-11−i321+i320000000044-2-2-21−1+3i32−1−3i321−1+3i32−1−3i32-222−1+i3−1−i3−1+i3−1−i31100-11−i321+i32-11−i321+i320000000044-2-2-21−1+3i32−1−3i321−1+3i32−1−3i32-222−1+i3−1−i3−1+i3−1−i31100-11−i321+i32-11−i321+i320000000044-2-2-21−1+3i32−1−3i321−1+3i32−1−3i32-222−1+i3−1−i3−1+i3−1−i31100-11−i321+i32-11−i321+i3200000000
χ2644-2-2-21−1+3i32−1−3i321−1+3i32−1−3i32-2-2-21−i31+i31−i31+i311001−1+i32−1−i321−1+i32−1−i320000000044-2-2-21−1+3i32−1−3i321−1+3i32−1−3i32-2-2-21−i31+i31−i31+i311001−1+i32−1−i321−1+i32−1−i320000000044-2-2-21−1+3i32−1−3i321−1+3i32−1−3i32-2-2-21−i31+i31−i31+i311001−1+i32−1−i321−1+i32−1−i320000000044-2-2-21−1+3i32−1−3i321−1+3i32−1−3i32-2-2-21−i31+i31−i31+i311001−1+i32−1−i321−1+i32−1−i3200000000
χ274-44-41-2-2-2222-10000001-1000000002i−2i00−ii004-44-41-2-2-2222-10000001-1000000002i−2i00−ii004-44-41-2-2-2222-10000001-1000000002i−2i00−ii004-44-41-2-2-2222-10000001-1000000002i−2i00−ii00
χ284-44-41-2-2-2222-10000001-100000000−2i2i00i−i004-44-41-2-2-2222-10000001-100000000−2i2i00i−i004-44-41-2-2-2222-10000001-100000000−2i2i00i−i004-44-41-2-2-2222-10000001-100000000−2i2i00i−i00
χ294-44-4-2111-1-1-122-222-2-2-2200-1-1-1111000000004-44-4-2111-1-1-122-222-2-2-2200-1-1-1111000000004-44-4-2111-1-1-122-222-2-2-2200-1-1-1111000000004-44-4-2111-1-1-122-222-2-2-2200-1-1-111100000000
χ304-44-4-2111-1-1-12-22-2-222-2200111-1-1-1000000004-44-4-2111-1-1-12-22-2-222-2200111-1-1-1000000004-44-4-2111-1-1-12-22-2-222-2200111-1-1-1000000004-44-4-2111-1-1-12-22-2-222-2200111-1-1-100000000
χ314-4-22-21−1−3i32−1+3i32-11+3i321−3i3222-2−1−i3−1+i31+i31−i31-100-11+i321−i321−1−i32−1+i32000000004-4-22-21−1−3i32−1+3i32-11+3i321−3i3222-2−1−i3−1+i31+i31−i31-100-11+i321−i321−1−i32−1+i32000000004-4-22-21−1−3i32−1+3i32-11+3i321−3i3222-2−1−i3−1+i31+i31−i31-100-11+i321−i321−1−i32−1+i32000000004-4-22-21−1−3i32−1+3i32-11+3i321−3i3222-2−1−i3−1+i31+i31−i31-100-11+i321−i321−1−i32−1+i3200000000
χ324-4-22-21−1−3i32−1+3i32-11+3i321−3i322-221+i31−i3−1−i3−1+i31-1001−1−i32−1+i32-11+i321−i32000000004-4-22-21−1−3i32−1+3i32-11+3i321−3i322-221+i31−i3−1−i3−1+i31-1001−1−i32−1+i32-11+i321−i32000000004-4-22-21−1−3i32−1+3i32-11+3i321−3i322-221+i31−i3−1−i3−1+i31-1001−1−i32−1+i32-11+i321−i32000000004-4-22-21−1−3i32−1+3i32-11+3i321−3i322-221+i31−i3−1−i3−1+i31-1001−1−i32−1+i32-11+i321−i3200000000
χ334-4-22-21−1+3i32−1−3i32-11−3i321+3i3222-2−1+i3−1−i31−i31+i31-100-11−i321+i321−1+i32−1−i32000000004-4-22-21−1+3i32−1−3i32-11−3i321+3i3222-2−1+i3−1−i31−i31+i31-100-11−i321+i321−1+i32−1−i32000000004-4-22-21−1+3i32−1−3i32-11−3i321+3i3222-2−1+i3−1−i31−i31+i31-100-11−i321+i321−1+i32−1−i32000000004-4-22-21−1+3i32−1−3i32-11−3i321+3i3222-2−1+i3−1−i31−i31+i31-100-11−i321+i321−1+i32−1−i3200000000
χ344-4-22-21−1+3i32−1−3i32-11−3i321+3i322-221−i31+i3−1+i3−1−i31-1001−1+i32−1−i32-11−i321+i32000000004-4-22-21−1+3i32−1−3i32-11−3i321+3i322-221−i31+i3−1+i3−1−i31-1001−1+i32−1−i32-11−i321+i32000000004-4-22-21−1+3i32−1−3i32-11−3i321+3i322-221−i31+i3−1+i3−1−i31-1001−1+i32−1−i32-11−i321+i32000000004-4-22-21−1+3i32−1−3i32-11−3i321+3i322-221−i31+i3−1+i3−1−i31-1001−1+i32−1−i32-11−i321+i3200000000
χ3588-4-42-422-4222000000-1-1000000000000000088-4-42-422-4222000000-1-1000000000000000088-4-42-422-4222000000-1-1000000000000000088-4-42-422-4222000000-1-10000000000000000
χ368-8-442-4224-2-2-2000000-1100000000000000008-8-442-4224-2-2-2000000-1100000000000000008-8-442-4224-2-2-2000000-1100000000000000008-8-442-4224-2-2-2000000-110000000000000000
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
χ411-11-11111-1-1-1-11-111-1-11-11-1111-1-1-1i−i1-1i−ii−ii−ii−iiiii−i−i−i−ii−iii−i−ii−ii−iiii−i−i−i-11i−i-11-11-11-11-1-1-1-11111-11-1-111-11-11-1-1-1111−ii-11−ii−ii−ii−ii−i−i−i−iiiii−ii−i−iii−ii−ii−i−i−iiii1-1−ii1-11-1
χ421-11-11111-1-1-1-11-111-1-11-11-1111-1-1-1−ii1-1−ii−iii−ii−iiiii−i−i−i−ii−iii−i−ii−ii−iiii−i−i−i1-1i−i1-11-1-11-11-1-1-1-11111-11-1-111-11-11-1-1-1111i−i-11i−ii−i−ii−ii−i−i−i−iiiii−ii−i−iii−ii−ii−i−i−iiii-11−ii-11-11
χ431-11-11111-1-1-1-1-11-1-1111-11-1-1-1-1111i−i1-1i−i−iii−ii−iiiii−i−i−i−i−ii−i−iiii−ii−i−i−i−iiii-11i−i-111-1-11-11-1-1-1-111111-111-1-1-11-11111-1-1-1−ii-11−iii−i−ii−ii−i−i−i−iiiiii−iii−i−i−ii−iiiii−i−i−i1-1−ii1-1-11
χ441-11-11111-1-1-1-1-11-1-1111-11-1-1-1-1111−ii1-1−iii−ii−ii−iiiii−i−i−i−i−ii−i−iiii−ii−i−i−i−iiii1-1i−i1-1-11-11-11-1-1-1-111111-111-1-1-11-11111-1-1-1i−i-11i−i−ii−ii−ii−i−i−i−iiiiii−iii−i−i−ii−iiiii−i−i−i-11−ii-111-1
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
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χ13344-2-2-21−1+3i32−1−3i321−1+3i32−1−3i32-222−1+i3−1−i3−1+i3−1−i31100-11−i321+i32-11−i321+i3200000000−4i−4i2i2i2i−i−2ζ7+ζ11ζ7−2ζ11−i−2ζ7+ζ11ζ7−2ζ112i−2i−2i−2ζ7−2ζ11−2ζ7−2ζ11−i−i00iζ7ζ11iζ7ζ1100000000-4-4222-11−3i321+3i32-11−3i321+3i322-2-21−i31+i31−i31+i3-1-1001−1+i32−1−i321−1+i32−1−i32000000004i4i−2i−2i−2ii2ζ7−ζ11−ζ7+2ζ11i2ζ7−ζ11−ζ7+2ζ11−2i2i2i2ζ72ζ112ζ72ζ11ii00−i−ζ7−ζ11−i−ζ7−ζ1100000000
χ13444-2-2-21−1+3i32−1−3i321−1+3i32−1−3i32-2-2-21−i31+i31−i31+i311001−1+i32−1−i321−1+i32−1−i3200000000−4i−4i2i2i2i−i−2ζ7+ζ11ζ7−2ζ11−i−2ζ7+ζ11ζ7−2ζ112i2i2i2ζ72ζ112ζ72ζ11−i−i00−i−ζ7−ζ11−i−ζ7−ζ1100000000-4-4222-11−3i321+3i32-11−3i321+3i32222−1+i3−1−i3−1+i3−1−i3-1-100-11−i321+i32-11−i321+i32000000004i4i−2i−2i−2ii2ζ7−ζ11−ζ7+2ζ11i2ζ7−ζ11−ζ7+2ζ11−2i−2i−2i−2ζ7−2ζ11−2ζ7−2ζ11ii00iζ7ζ11iζ7ζ1100000000
χ1354-44-41-2-2-2222-10000001-1000000002i−2i00−ii00−4i4i−4i4i−i2i2i2i−2i−2i−2ii000000−ii000000002-200-1100-44-44-1222-2-2-21000000-1100000000−2i2i00i−i004i−4i4i−4ii−2i−2i−2i2i2i2i−i000000i−i00000000-22001-100
χ1364-44-41-2-2-2222-10000001-100000000−2i2i00i−i00−4i4i−4i4i−i2i2i2i−2i−2i−2ii000000−ii00000000-22001-100-44-44-1222-2-2-21000000-11000000002i−2i00−ii004i−4i4i−4ii−2i−2i−2i2i2i2i−i000000i−i000000002-200-1100
χ1374-44-4-2111-1-1-122-222-2-2-2200-1-1-111100000000−4i4i−4i4i2i−i−i−iiii−2i−2i2i−2i−2i2i2i2i−2i00iii−i−i−i00000000-44-442-1-1-1111-2-22-2-2222-200111-1-1-1000000004i−4i4i−4i−2iiii−i−i−i2i2i−2i2i2i−2i−2i−2i2i00−i−i−iiii00000000
χ1384-44-4-2111-1-1-12-22-2-222-2200111-1-1-100000000−4i4i−4i4i2i−i−i−iiii−2i2i−2i2i2i−2i−2i2i−2i00−i−i−iiii00000000-44-442-1-1-1111-22-222-2-22-200-1-1-1111000000004i−4i4i−4i−2iiii−i−i−i2i−2i2i−2i−2i2i2i−2i2i00iii−i−i−i00000000
χ1394-4-22-21−1−3i32−1+3i32-11+3i321−3i3222-2−1−i3−1+i31+i31−i31-100-11+i321−i321−1−i32−1+i3200000000−4i4i2i−2i2i−iζ7−2ζ11−2ζ7+ζ11i−ζ7+2ζ112ζ7−ζ11−2i−2i2i−2ζ11−2ζ72ζ112ζ7−ii00iζ11ζ7−i−ζ11−ζ700000000-442-22-11+3i321−3i321−1−3i32−1+3i32-2-221+i31−i3−1−i3−1+i3-11001−1−i32−1+i32-11+i321−i32000000004i−4i−2i2i−2ii−ζ7+2ζ112ζ7−ζ11−iζ7−2ζ11−2ζ7+ζ112i2i−2i2ζ112ζ7−2ζ11−2ζ7i−i00−i−ζ11−ζ7iζ11ζ700000000
χ1404-4-22-21−1−3i32−1+3i32-11+3i321−3i322-221+i31−i3−1−i3−1+i31-1001−1−i32−1+i32-11+i321−i3200000000−4i4i2i−2i2i−iζ7−2ζ11−2ζ7+ζ11i−ζ7+2ζ112ζ7−ζ11−2i2i−2i2ζ112ζ7−2ζ11−2ζ7−ii00−i−ζ11−ζ7iζ11ζ700000000-442-22-11+3i321−3i321−1−3i32−1+3i32-22-2−1−i3−1+i31+i31−i3-1100-11+i321−i321−1−i32−1+i32000000004i−4i−2i2i−2ii−ζ7+2ζ112ζ7−ζ11−iζ7−2ζ11−2ζ7+ζ112i−2i2i−2ζ11−2ζ72ζ112ζ7i−i00iζ11ζ7−i−ζ11−ζ700000000
χ1414-4-22-21−1+3i32−1−3i32-11−3i321+3i3222-2−1+i3−1−i31−i31+i31-100-11−i321+i321−1+i32−1−i3200000000−4i4i2i−2i2i−i−2ζ7+ζ11ζ7−2ζ11i2ζ7−ζ11−ζ7+2ζ11−2i−2i2i−2ζ7−2ζ112ζ72ζ11−ii00iζ7ζ11−i−ζ7−ζ1100000000-442-22-11−3i321+3i321−1+3i32−1−3i32-2-221−i31+i3−1+i3−1−i3-11001−1+i32−1−i32-11−i321+i32000000004i−4i−2i2i−2ii2ζ7−ζ11−ζ7+2ζ11−i−2ζ7+ζ11ζ7−2ζ112i2i−2i2ζ72ζ11−2ζ7−2ζ11i−i00−i−ζ7−ζ11iζ7ζ1100000000
χ1424-4-22-21−1+3i32−1−3i32-11−3i321+3i322-221−i31+i3−1+i3−1−i31-1001−1+i32−1−i32-11−i321+i3200000000−4i4i2i−2i2i−i−2ζ7+ζ11ζ7−2ζ11i2ζ7−ζ11−ζ7+2ζ11−2i2i−2i2ζ72ζ11−2ζ7−2ζ11−ii00−i−ζ7−ζ11iζ7ζ1100000000-442-22-11−3i321+3i321−1+3i32−1−3i32-22-2−1+i3−1−i31−i31+i3-1100-11−i321+i321−1+i32−1−i32000000004i−4i−2i2i−2ii2ζ7−ζ11−ζ7+2ζ11−i−2ζ7+ζ11ζ7−2ζ112i−2i2i−2ζ7−2ζ112ζ72ζ11i−i00iζ7ζ11−i−ζ7−ζ1100000000
χ14388-4-42-422-4222000000-1-10000000000000000−8i−8i4i4i−2i4i−2i−2i4i−2i−2i−2i000000ii0000000000000000-8-844-24-2-24-2-2-20000001100000000000000008i8i−4i−4i2i−4i2i2i−4i2i2i2i000000−i−i0000000000000000
χ1448-8-442-4224-2-2-2000000-110000000000000000−8i8i4i−4i−2i4i−2i−2i−4i2i2i2i000000i−i0000000000000000-884-4-24-2-2-42220000001-100000000000000008i−8i−4i4i2i−4i2i2i4i−2i−2i−2i000000−ii0000000000000000

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