Finite Group Databasebeta

← Group #11859941

Character table — Group #11859941

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11222222244444444444444991212121218181824242424112222222444444444444449912121212181818242424241122222224444444444444499121212121818182424242411222222244444444444444991212121218181824242424
order1233466883612121212242424242424242422444448812121212441212412128812121212121224242424242424244444444881212121222664668866121212122424242424242424224444488121212124412124121288121212121212242424242424242444444448812121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1111-1-1-1-11111111111111111111111111-1-1-1-1111-1-1-1-11111111111111111111111111-1-1-1-1111-1-1-1-11111111111111111111111111-1-1-1-1111-1-1-1-1
χ311111111111111111111111-1-111-1-1-1-1-111-1-111111111111111111111111-1-111-1-1-1-1-111-1-111111111111111111111111-1-111-1-1-1-1-111-1-111111111111111111111111-1-111-1-1-1-1-111-1-1
χ411111111111111111111111-1-1-1-111-1-1-1-1-11111111111111111111111111-1-1-1-111-1-1-1-1-11111111111111111111111111-1-1-1-111-1-1-1-1-11111111111111111111111111-1-1-1-111-1-1-1-1-111
χ51111111-1-1111111-1-1-1-1-1-1-1-1111-11-11-1-11-11-11111111-1-1111111-1-1-1-1-1-1-1-1111-11-11-1-11-11-11111111-1-1111111-1-1-1-1-1-1-1-1111-11-11-1-11-11-11111111-1-1111111-1-1-1-1-1-1-1-1111-11-11-1-11-11-1
χ61111111-1-1111111-1-1-1-1-1-1-1-111-11-111-1-1-11-111111111-1-1111111-1-1-1-1-1-1-1-111-11-111-1-1-11-111111111-1-1111111-1-1-1-1-1-1-1-111-11-111-1-1-11-111111111-1-1111111-1-1-1-1-1-1-1-111-11-111-1-1-11-11
χ71111111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1111-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1111-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1111-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1111-1-11
χ81111111-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-111-111-11111111-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-111-111-11111111-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-111-111-11111111-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1
χ92222-2220022-2-2-2-200000000220000-20000002222-2220022-2-2-2-200000000220000-20000002222-2220022-2-2-2-200000000220000-20000002222-2220022-2-2-2-200000000220000-2000000
χ102222-2220022-2-2-2-200000000-2-2000020000002222-2220022-2-2-2-200000000-2-2000020000002222-2220022-2-2-2-200000000-2-2000020000002222-2220022-2-2-2-200000000-2-200002000000
χ11222-122-122-1-12-1-1-122-1-1-1-1-1-100002200000-1-1222-122-122-1-12-1-1-122-1-1-1-1-1-100002200000-1-1222-122-122-1-12-1-1-122-1-1-1-1-1-100002200000-1-1222-122-122-1-12-1-1-122-1-1-1-1-1-100002200000-1-1
χ12222-122-122-1-12-1-1-122-1-1-1-1-1-10000-2-20000011222-122-122-1-12-1-1-122-1-1-1-1-1-10000-2-20000011222-122-122-1-12-1-1-122-1-1-1-1-1-10000-2-20000011222-122-122-1-12-1-1-122-1-1-1-1-1-10000-2-20000011
χ13222-122-1-2-2-1-12-1-1-1-2-211111100002-200000-11222-122-1-2-2-1-12-1-1-1-2-211111100002-200000-11222-122-1-2-2-1-12-1-1-1-2-211111100002-200000-11222-122-1-2-2-1-12-1-1-1-2-211111100002-200000-11
χ14222-122-1-2-2-1-12-1-1-1-2-21111110000-22000001-1222-122-1-2-2-1-12-1-1-1-2-21111110000-22000001-1222-122-1-2-2-1-12-1-1-1-2-21111110000-22000001-1222-122-1-2-2-1-12-1-1-1-2-21111110000-22000001-1
χ1522-122-1222-1-1-12-1-1-1-122-1-1-1-1002200000-1-10022-122-1222-1-1-12-1-1-1-122-1-1-1-1002200000-1-10022-122-1222-1-1-12-1-1-1-122-1-1-1-1002200000-1-10022-122-1222-1-1-12-1-1-1-122-1-1-1-1002200000-1-100
χ1622-122-1222-1-1-12-1-1-1-122-1-1-1-100-2-200000110022-122-1222-1-1-12-1-1-1-122-1-1-1-100-2-200000110022-122-1222-1-1-12-1-1-1-122-1-1-1-100-2-200000110022-122-1222-1-1-12-1-1-1-122-1-1-1-100-2-2000001100
χ1722-122-12-2-2-1-1-12-1-111-2-21111002-200000-110022-122-12-2-2-1-1-12-1-111-2-21111002-200000-110022-122-12-2-2-1-1-12-1-111-2-21111002-200000-110022-122-12-2-2-1-1-12-1-111-2-21111002-200000-1100
χ1822-122-12-2-2-1-1-12-1-111-2-2111100-22000001-10022-122-12-2-2-1-1-12-1-111-2-2111100-22000001-10022-122-12-2-2-1-1-12-1-111-2-2111100-22000001-10022-122-12-2-2-1-1-12-1-111-2-2111100-22000001-100
χ192-2220-2-22−22-200002−22−222−2−22-2000002−200002-2220-2-22−22-200002−22−222−2−22-2000002−200002-2220-2-22−22-200002−22−222−2−22-2000002−200002-2220-2-22−22-200002−22−222−2−22-2000002−20000
χ202-2220-2-22−22-200002−22−222−2−2-2200000−2200002-2220-2-22−22-200002−22−222−2−2-2200000−2200002-2220-2-22−22-200002−22−222−2−2-2200000−2200002-2220-2-22−22-200002−22−222−2−2-2200000−220000
χ212-2220-2-2−222-20000−22−22−2−2222-200000−2200002-2220-2-2−222-20000−22−22−2−2222-200000−2200002-2220-2-2−222-20000−22−22−2−2222-200000−2200002-2220-2-2−222-20000−22−22−2−2222-200000−220000
χ222-2220-2-2−222-20000−22−22−2−222-22000002−200002-2220-2-2−222-20000−22−22−2−222-22000002−200002-2220-2-2−222-20000−22−22−2−222-22000002−200002-2220-2-2−222-20000−22−22−2−222-22000002−20000
χ23444-2-44-200-2-2-4222000000000000000000000444-2-44-200-2-2-4222000000000000000000000444-2-44-200-2-2-4222000000000000000000000444-2-44-200-2-2-4222000000000000000000000
χ2444-24-4-2400-2-22-42200000000000000000000044-24-4-2400-2-22-42200000000000000000000044-24-4-2400-2-22-42200000000000000000000044-24-4-2400-2-22-422000000000000000000000
χ2544-2-24-2-24411-2-211-2-2-2-21111000000000000044-2-24-2-24411-2-211-2-2-2-21111000000000000044-2-24-2-24411-2-211-2-2-2-21111000000000000044-2-24-2-24411-2-211-2-2-2-211110000000000000
χ2644-2-24-2-2-4-411-2-2112222-1-1-1-1000000000000044-2-24-2-2-4-411-2-2112222-1-1-1-1000000000000044-2-24-2-2-4-411-2-2112222-1-1-1-1000000000000044-2-24-2-2-4-411-2-2112222-1-1-1-10000000000000
χ2744-2-2-4-2-2001122-1-100003i−3i3i−3i000000000000044-2-2-4-2-2001122-1-100003i−3i3i−3i000000000000044-2-2-4-2-2001122-1-100003i−3i3i−3i000000000000044-2-2-4-2-2001122-1-100003i−3i3i−3i0000000000000
χ2844-2-2-4-2-2001122-1-10000−3i3i−3i3i000000000000044-2-2-4-2-2001122-1-10000−3i3i−3i3i000000000000044-2-2-4-2-2001122-1-10000−3i3i−3i3i000000000000044-2-2-4-2-2001122-1-10000−3i3i−3i3i0000000000000
χ294-44-20-4222−22-22000022−22−22−2−22200000000000004-44-20-4222−22-22000022−22−22−2−22200000000000004-44-20-4222−22-22000022−22−22−2−22200000000000004-44-20-4222−22-22000022−22−22−2−2220000000000000
χ304-44-20-42−2222-220000−22222−222−2−200000000000004-44-20-42−2222-220000−22222−222−2−200000000000004-44-20-42−2222-220000−22222−222−2−200000000000004-44-20-42−2222-220000−22222−222−2−20000000000000
χ314-4-2402-422−22-220000−2222−22−2−22200000000000004-4-2402-422−22-220000−2222−22−2−22200000000000004-4-2402-422−22-220000−2222−22−2−22200000000000004-4-2402-422−22-220000−2222−22−2−2220000000000000
χ324-4-2402-4−2222-2200002−2−222222−2−200000000000004-4-2402-4−2222-2200002−2−222222−2−200000000000004-4-2402-4−2222-2200002−2−222222−2−200000000000004-4-2402-4−2222-2200002−2−222222−2−20000000000000
χ334-4-2-202222−221-1003i−3i−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ300000000000004-4-2-202222−221-1003i−3i−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ300000000000004-4-2-202222−221-1003i−3i−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ300000000000004-4-2-202222−221-1003i−3i−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ30000000000000
χ344-4-2-202222−221-100−3i3i−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ300000000000004-4-2-202222−221-100−3i3i−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ300000000000004-4-2-202222−221-100−3i3i−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ300000000000004-4-2-202222−221-100−3i3i−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ30000000000000
χ354-4-2-2022−22221-1003i−3i2−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ300000000000004-4-2-2022−22221-1003i−3i2−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ300000000000004-4-2-2022−22221-1003i−3i2−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ300000000000004-4-2-2022−22221-1003i−3i2−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ30000000000000
χ364-4-2-2022−22221-100−3i3i2−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ300000000000004-4-2-2022−22221-100−3i3i2−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ300000000000004-4-2-2022−22221-100−3i3i2−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ300000000000004-4-2-2022−22221-100−3i3i2−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ30000000000000
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
χ381111111111111111111111111-1-1-1-1111-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−iiiii
χ3911111111111111111111111-1-111-1-1-1-1-111-1-1iiiiiiiiiiiiiiiiiiiiiii−i−iii−i−i−i−i−iii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−iiiiii−i−iii
χ4011111111111111111111111-1-1-1-111-1-1-1-1-111iiiiiiiiiiiiiiiiiiiiiii−i−i−i−iii−i−i−i−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−iiiiii−i−i
χ411111111-1-1111111-1-1-1-1-1-1-1-1111-11-11-1-11-11-1iiiiiii−i−iiiiiii−i−i−i−i−i−i−i−iiii−ii−ii−i−ii−ii−i-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-11-11-111-11-11−i−i−i−i−i−i−iii−i−i−i−i−i−iiiiiiiii−i−i−ii−ii−iii−ii−ii
χ421111111-1-1111111-1-1-1-1-1-1-1-111-11-111-1-1-11-11iiiiiii−i−iiiiiii−i−i−i−i−i−i−i−iii−ii−iii−i−i−ii−ii-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-11-11-1-1111-11-1−i−i−i−i−i−i−iii−i−i−i−i−i−iiiiiiiii−i−ii−ii−i−iiii−ii−i
χ431111111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1111-1-11iiiiiii−i−iiiiiii−i−i−i−i−i−i−i−i−i−ii−i−ii−iiii−i−ii-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-111-11-1-1-111-1−i−i−i−i−i−i−iii−i−i−i−i−i−iiiiiiiiiii−iii−ii−i−i−iii−i
χ441111111-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1iiiiiii−i−iiiiiii−i−i−i−i−i−i−i−i−i−i−iii−i−iii−iii−i-1-1-1-1-1-1-111-1-1-1-1-1-111111111111-1-111-1-11-1-11−i−i−i−i−i−i−iii−i−i−i−i−i−iiiiiiiiiiii−i−iii−i−ii−i−ii
χ452222-2220022-2-2-2-200000000220000-20000002i2i2i2i−2i2i2i002i2i−2i−2i−2i−2i000000002i2i0000−2i000000-2-2-2-22-2-200-2-2222200000000-2-200002000000−2i−2i−2i−2i2i−2i−2i00−2i−2i2i2i2i2i00000000−2i−2i00002i000000
χ462222-2220022-2-2-2-200000000-2-2000020000002i2i2i2i−2i2i2i002i2i−2i−2i−2i−2i00000000−2i−2i00002i000000-2-2-2-22-2-200-2-2222200000000220000-2000000−2i−2i−2i−2i2i−2i−2i00−2i−2i2i2i2i2i000000002i2i0000−2i000000
χ47222-122-122-1-12-1-1-122-1-1-1-1-1-100002200000-1-12i2i2i−i2i2i−i2i2i−i−i2i−i−i−i2i2i−i−i−i−i−i−i00002i2i00000−i−i-2-2-21-2-21-2-211-2111-2-21111110000-2-20000011−2i−2i−2ii−2i−2ii−2i−2iii−2iiii−2i−2iiiiiii0000−2i−2i00000ii
χ48222-122-122-1-12-1-1-122-1-1-1-1-1-10000-2-200000112i2i2i−i2i2i−i2i2i−i−i2i−i−i−i2i2i−i−i−i−i−i−i0000−2i−2i00000ii-2-2-21-2-21-2-211-2111-2-211111100002200000-1-1−2i−2i−2ii−2i−2ii−2i−2iii−2iiii−2i−2iiiiiii00002i2i00000−i−i
χ49222-122-1-2-2-1-12-1-1-1-2-211111100002-200000-112i2i2i−i2i2i−i−2i−2i−i−i2i−i−i−i−2i−2iiiiiii00002i−2i00000−ii-2-2-21-2-212211-211122-1-1-1-1-1-10000-22000001-1−2i−2i−2ii−2i−2ii2i2iii−2iiii2i2i−i−i−i−i−i−i0000−2i2i00000i−i
χ50222-122-1-2-2-1-12-1-1-1-2-21111110000-22000001-12i2i2i−i2i2i−i−2i−2i−i−i2i−i−i−i−2i−2iiiiiii0000−2i2i00000i−i-2-2-21-2-212211-211122-1-1-1-1-1-100002-200000-11−2i−2i−2ii−2i−2ii2i2iii−2iiii2i2i−i−i−i−i−i−i00002i−2i00000−ii
χ5122-122-1222-1-1-12-1-1-1-122-1-1-1-1002200000-1-1002i2i−i2i2i−i2i2i2i−i−i−i2i−i−i−i−i2i2i−i−i−i−i002i2i00000−i−i00-2-21-2-21-2-2-2111-21111-2-2111100-2-2000001100−2i−2ii−2i−2ii−2i−2i−2iiii−2iiiii−2i−2iiiii00−2i−2i00000ii00
χ5222-122-1222-1-1-12-1-1-1-122-1-1-1-100-2-20000011002i2i−i2i2i−i2i2i2i−i−i−i2i−i−i−i−i2i2i−i−i−i−i00−2i−2i00000ii00-2-21-2-21-2-2-2111-21111-2-21111002200000-1-100−2i−2ii−2i−2ii−2i−2i−2iiii−2iiiii−2i−2iiiii002i2i00000−i−i00
χ5322-122-12-2-2-1-1-12-1-111-2-21111002-200000-11002i2i−i2i2i−i2i−2i−2i−i−i−i2i−i−iii−2i−2iiiii002i−2i00000−ii00-2-21-2-21-222111-211-1-122-1-1-1-100-22000001-100−2i−2ii−2i−2ii−2i2i2iiii−2iii−i−i2i2i−i−i−i−i00−2i2i00000i−i00
χ5422-122-12-2-2-1-1-12-1-111-2-2111100-22000001-1002i2i−i2i2i−i2i−2i−2i−i−i−i2i−i−iii−2i−2iiiii00−2i2i00000i−i00-2-21-2-21-222111-211-1-122-1-1-1-1002-200000-1100−2i−2ii−2i−2ii−2i2i2iiii−2iii−i−i2i2i−i−i−i−i002i−2i00000−ii00
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χ11211111111111111111111111-1-1-1-111-1-1-1-1-111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−iiiiii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1iiiiiiiiiiiiiiiiiiiiiii−i−i−i−iii−i−i−i−i−iii
χ1131111111-1-1111111-1-1-1-1-1-1-1-1111-11-11-1-11-11-1−i−i−i−i−i−i−iii−i−i−i−i−i−iiiiiiiii−i−i−ii−ii−iii−ii−ii-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-11-11-111-11-11iiiiiii−i−iiiiiii−i−i−i−i−i−i−i−iiii−ii−ii−i−ii−ii−i
χ1141111111-1-1111111-1-1-1-1-1-1-1-111-11-111-1-1-11-11−i−i−i−i−i−i−iii−i−i−i−i−i−iiiiiiiii−i−ii−ii−i−iiii−ii−i-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-11-11-1-1111-11-1iiiiiii−i−iiiiiii−i−i−i−i−i−i−i−iii−ii−iii−i−i−ii−ii
χ1151111111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1111-1-11−i−i−i−i−i−i−iii−i−i−i−i−i−iiiiiiiiiii−iii−ii−i−i−iii−i-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-111-11-1-1-111-1iiiiiii−i−iiiiiii−i−i−i−i−i−i−i−i−i−ii−i−ii−iiii−i−ii
χ1161111111-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1−i−i−i−i−i−i−iii−i−i−i−i−i−iiiiiiiiiiii−i−iii−i−ii−i−ii-1-1-1-1-1-1-111-1-1-1-1-1-111111111111-1-111-1-11-1-11iiiiiii−i−iiiiiii−i−i−i−i−i−i−i−i−i−i−iii−i−iii−iii−i
χ1172222-2220022-2-2-2-200000000220000-2000000−2i−2i−2i−2i2i−2i−2i00−2i−2i2i2i2i2i00000000−2i−2i00002i000000-2-2-2-22-2-200-2-2222200000000-2-2000020000002i2i2i2i−2i2i2i002i2i−2i−2i−2i−2i000000002i2i0000−2i000000
χ1182222-2220022-2-2-2-200000000-2-200002000000−2i−2i−2i−2i2i−2i−2i00−2i−2i2i2i2i2i000000002i2i0000−2i000000-2-2-2-22-2-200-2-2222200000000220000-20000002i2i2i2i−2i2i2i002i2i−2i−2i−2i−2i00000000−2i−2i00002i000000
χ119222-122-122-1-12-1-1-122-1-1-1-1-1-100002200000-1-1−2i−2i−2ii−2i−2ii−2i−2iii−2iiii−2i−2iiiiiii0000−2i−2i00000ii-2-2-21-2-21-2-211-2111-2-21111110000-2-200000112i2i2i−i2i2i−i2i2i−i−i2i−i−i−i2i2i−i−i−i−i−i−i00002i2i00000−i−i
χ120222-122-122-1-12-1-1-122-1-1-1-1-1-10000-2-20000011−2i−2i−2ii−2i−2ii−2i−2iii−2iiii−2i−2iiiiiii00002i2i00000−i−i-2-2-21-2-21-2-211-2111-2-211111100002200000-1-12i2i2i−i2i2i−i2i2i−i−i2i−i−i−i2i2i−i−i−i−i−i−i0000−2i−2i00000ii
χ121222-122-1-2-2-1-12-1-1-1-2-211111100002-200000-11−2i−2i−2ii−2i−2ii2i2iii−2iiii2i2i−i−i−i−i−i−i0000−2i2i00000i−i-2-2-21-2-212211-211122-1-1-1-1-1-10000-22000001-12i2i2i−i2i2i−i−2i−2i−i−i2i−i−i−i−2i−2iiiiiii00002i−2i00000−ii
χ122222-122-1-2-2-1-12-1-1-1-2-21111110000-22000001-1−2i−2i−2ii−2i−2ii2i2iii−2iiii2i2i−i−i−i−i−i−i00002i−2i00000−ii-2-2-21-2-212211-211122-1-1-1-1-1-100002-200000-112i2i2i−i2i2i−i−2i−2i−i−i2i−i−i−i−2i−2iiiiiii0000−2i2i00000i−i
χ12322-122-1222-1-1-12-1-1-1-122-1-1-1-1002200000-1-100−2i−2ii−2i−2ii−2i−2i−2iiii−2iiiii−2i−2iiiii00−2i−2i00000ii00-2-21-2-21-2-2-2111-21111-2-2111100-2-20000011002i2i−i2i2i−i2i2i2i−i−i−i2i−i−i−i−i2i2i−i−i−i−i002i2i00000−i−i00
χ12422-122-1222-1-1-12-1-1-1-122-1-1-1-100-2-2000001100−2i−2ii−2i−2ii−2i−2i−2iiii−2iiiii−2i−2iiiii002i2i00000−i−i00-2-21-2-21-2-2-2111-21111-2-21111002200000-1-1002i2i−i2i2i−i2i2i2i−i−i−i2i−i−i−i−i2i2i−i−i−i−i00−2i−2i00000ii00
χ12522-122-12-2-2-1-1-12-1-111-2-21111002-200000-1100−2i−2ii−2i−2ii−2i2i2iiii−2iii−i−i2i2i−i−i−i−i00−2i2i00000i−i00-2-21-2-21-222111-211-1-122-1-1-1-100-22000001-1002i2i−i2i2i−i2i−2i−2i−i−i−i2i−i−iii−2i−2iiiii002i−2i00000−ii00
χ12622-122-12-2-2-1-1-12-1-111-2-2111100-22000001-100−2i−2ii−2i−2ii−2i2i2iiii−2iii−i−i2i2i−i−i−i−i002i−2i00000−ii00-2-21-2-21-222111-211-1-122-1-1-1-1002-200000-11002i2i−i2i2i−i2i−2i−2i−i−i−i2i−i−iii−2i−2iiiii00−2i2i00000i−i00
χ1272-2220-2-22−22-200002−22−222−2−22-2000002−20000−2i2i−2i−2i02i2i−i2i2−2i2i0000−i2i2−i2i2−i2−i2i2i2−2i2i00000−i2i20000-22-2-2022−22-220000−22−22−2−222-2200000−2200002i−2i2i2i0−2i−2ii2−i22i−2i0000i2−i2i2−i2i2i2−i2−i22i−2i00000i2−i20000
χ1282-2220-2-22−22-200002−22−222−2−2-2200000−220000−2i2i−2i−2i02i2i−i2i2−2i2i0000−i2i2−i2i2−i2−i2i2i22i−2i00000i2−i20000-22-2-2022−22-220000−22−22−2−2222-2000002−200002i−2i2i2i0−2i−2ii2−i22i−2i0000i2−i2i2−i2i2i2−i2−i2−2i2i00000−i2i20000
χ1292-2220-2-2−222-20000−22−22−2−2222-200000−220000−2i2i−2i−2i02i2ii2−i2−2i2i0000i2−i2i2−i2i2i2−i2−i2−2i2i00000i2−i20000-22-2-20222−2-2200002−22−222−2−2-22000002−200002i−2i2i2i0−2i−2i−i2i22i−2i0000−i2i2−i2i2−i2−i2i2i22i−2i00000−i2i20000
χ1302-2220-2-2−222-20000−22−22−2−222-22000002−20000−2i2i−2i−2i02i2ii2−i2−2i2i0000i2−i2i2−i2i2i2−i2−i22i−2i00000−i2i20000-22-2-20222−2-2200002−22−222−2−22-200000−2200002i−2i2i2i0−2i−2i−i2i22i−2i0000−i2i2−i2i2−i2−i2i2i2−2i2i00000i2−i20000
χ131444-2-44-200-2-2-4222000000000000000000000−4i−4i−4i2i4i−4i2i002i2i4i−2i−2i−2i000000000000000000000-4-4-424-4200224-2-2-20000000000000000000004i4i4i−2i−4i4i−2i00−2i−2i−4i2i2i2i000000000000000000000
χ13244-24-4-2400-2-22-422000000000000000000000−4i−4i2i−4i4i2i−4i002i2i−2i4i−2i−2i000000000000000000000-4-42-442-40022-24-2-20000000000000000000004i4i−2i4i−4i−2i4i00−2i−2i2i−4i2i2i000000000000000000000
χ13344-2-24-2-24411-2-211-2-2-2-211110000000000000−4i−4i2i2i−4i2i2i−4i−4i−i−i2i2i−i−i2i2i2i2i−i−i−i−i0000000000000-4-422-422-4-4-1-122-1-12222-1-1-1-100000000000004i4i−2i−2i4i−2i−2i4i4iii−2i−2iii−2i−2i−2i−2iiiii0000000000000
χ13444-2-24-2-2-4-411-2-2112222-1-1-1-10000000000000−4i−4i2i2i−4i2i2i4i4i−i−i2i2i−i−i−2i−2i−2i−2iiiii0000000000000-4-422-42244-1-122-1-1-2-2-2-2111100000000000004i4i−2i−2i4i−2i−2i−4i−4iii−2i−2iii2i2i2i2i−i−i−i−i0000000000000
χ13544-2-2-4-2-2001122-1-100003i−3i3i−3i0000000000000−4i−4i2i2i4i2i2i00−i−i−2i−2iii00003-33-30000000000000-4-42242200-1-1-2-2110000−3i3i−3i3i00000000000004i4i−2i−2i−4i−2i−2i00ii2i2i−i−i0000-33-330000000000000
χ13644-2-2-4-2-2001122-1-10000−3i3i−3i3i0000000000000−4i−4i2i2i4i2i2i00−i−i−2i−2iii0000-33-330000000000000-4-42242200-1-1-2-21100003i−3i3i−3i00000000000004i4i−2i−2i−4i−2i−2i00ii2i2i−i−i00003-33-30000000000000
χ1374-44-20-4222−22-22000022−22−22−2−2220000000000000−4i4i−4i2i04i−2i−2i22i22i−2i0000−2i22i2i2−i2i2i2−i2−i20000000000000-44-4204-2−22222-20000−22222−222−2−200000000000004i−4i4i−2i0−4i2i2i2−2i2−2i2i00002i2−2i2−i2i2−i2−i2i2i20000000000000
χ1384-44-20-42−2222-220000−22222−222−2−20000000000000−4i4i−4i2i04i−2i2i2−2i22i−2i00002i2−2i2−i2i2−i2−i2i2i20000000000000-44-4204-222−222-2000022−22−22−2−22200000000000004i−4i4i−2i0−4i2i−2i22i2−2i2i0000−2i22i2i2−i2i2i2−i2−i20000000000000
χ1394-4-2402-422−22-220000−2222−22−2−2220000000000000−4i4i2i−4i0−2i4i−2i22i22i−2i0000i2−i2−2i22i2i2i2−i2−i20000000000000-442-40-24−22222-200002−2−222222−2−200000000000004i−4i−2i4i02i−4i2i2−2i2−2i2i0000−i2i22i2−2i2−i2−i2i2i20000000000000
χ1404-4-2402-4−2222-2200002−2−222222−2−20000000000000−4i4i2i−4i0−2i4i2i2−2i22i−2i0000−i2i22i2−2i2−i2−i2i2i20000000000000-442-40-2422−222-20000−2222−22−2−22200000000000004i−4i−2i4i02i−4i−2i22i2−2i2i0000i2−i2−2i22i2i2i2−i2−i20000000000000
χ1414-4-2-202222−221-1003i−3i−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ30000000000000−4i4i2i2i0−2i−2i−2i22i2−ii003-3i2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ30000000000000-44220-2-2−2222-1100−3i3i2−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ300000000000004i−4i−2i−2i02i2i2i2−2i2i−i00-33−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ30000000000000
χ1424-4-2-202222−221-100−3i3i−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ30000000000000−4i4i2i2i0−2i−2i−2i22i2−ii00-33i2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ30000000000000-44220-2-2−2222-11003i−3i2−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ300000000000004i−4i−2i−2i02i2i2i2−2i2i−i003-3−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ30000000000000
χ1434-4-2-2022−22221-1003i−3i2−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ30000000000000−4i4i2i2i0−2i−2i2i2−2i2−ii003-3−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ30000000000000-44220-2-222−22-1100−3i3i−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ300000000000004i−4i−2i−2i02i2i−2i22i2i−i00-33i2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ30000000000000
χ1444-4-2-2022−22221-100−3i3i2−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ30000000000000−4i4i2i2i0−2i−2i2i2−2i2−ii00-33−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ30000000000000-44220-2-222−22-11003i−3i−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ300000000000004i−4i−2i−2i02i2i−2i22i2i−i003-3i2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ30000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.