Finite Group Databasebeta

← Group #11860002

Character table — Group #11860002

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11222222244444444444444991212121218181824242424112222222444444444444449912121212181818242424241122222224444444444444499121212121818182424242411222222244444444444444991212121218181824242424
order123346688361212121224242424242424244422442886612124412124121288121212121212242424242424242444444448812121212226646688661212121224242424242424244422442886612124412124121288121212121212242424242424242444444448812121212
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
χ311111111111111111111111-1-11-11-1-1-1-11-11-111111111111111111111111-1-11-11-1-1-1-11-11-111111111111111111111111-1-11-11-1-1-1-11-11-111111111111111111111111-1-11-11-1-1-1-11-11-1
χ411111111111111111111111-1-1-11-11-1-1-1-11-1111111111111111111111111-1-1-11-11-1-1-1-11-1111111111111111111111111-1-1-11-11-1-1-1-11-1111111111111111111111111-1-1-11-11-1-1-1-11-11
χ51111111-1-1111111-1-1-1-1-1-1-1-1111-1-111-1-11-1-111111111-1-1111111-1-1-1-1-1-1-1-1111-1-111-1-11-1-111111111-1-1111111-1-1-1-1-1-1-1-1111-1-111-1-11-1-111111111-1-1111111-1-1-1-1-1-1-1-1111-1-111-1-11-1-11
χ61111111-1-1111111-1-1-1-1-1-1-1-111-111-11-1-1-111-11111111-1-1111111-1-1-1-1-1-1-1-111-111-11-1-1-111-11111111-1-1111111-1-1-1-1-1-1-1-111-111-11-1-1-111-11111111-1-1111111-1-1-1-1-1-1-1-111-111-11-1-1-111-1
χ71111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-11111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-11111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-11111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1
χ81111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111
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
χ11222-122-122-1-12-1-1-122-1-1-1-1-1-10002020000-10-1222-122-122-1-12-1-1-122-1-1-1-1-1-10002020000-10-1222-122-122-1-12-1-1-122-1-1-1-1-1-10002020000-10-1222-122-122-1-12-1-1-122-1-1-1-1-1-10002020000-10-1
χ12222-122-122-1-12-1-1-122-1-1-1-1-1-1000-20-20000101222-122-122-1-12-1-1-122-1-1-1-1-1-1000-20-20000101222-122-122-1-12-1-1-122-1-1-1-1-1-1000-20-20000101222-122-122-1-12-1-1-122-1-1-1-1-1-1000-20-20000101
χ13222-122-1-2-2-1-12-1-1-1-2-211111100020-20000-101222-122-1-2-2-1-12-1-1-1-2-211111100020-20000-101222-122-1-2-2-1-12-1-1-1-2-211111100020-20000-101222-122-1-2-2-1-12-1-1-1-2-211111100020-20000-101
χ14222-122-1-2-2-1-12-1-1-1-2-2111111000-202000010-1222-122-1-2-2-1-12-1-1-1-2-2111111000-202000010-1222-122-1-2-2-1-12-1-1-1-2-2111111000-202000010-1222-122-1-2-2-1-12-1-1-1-2-2111111000-202000010-1
χ1522-122-1222-1-1-12-1-1-1-122-1-1-1-1002020000-10-1022-122-1222-1-1-12-1-1-1-122-1-1-1-1002020000-10-1022-122-1222-1-1-12-1-1-1-122-1-1-1-1002020000-10-1022-122-1222-1-1-12-1-1-1-122-1-1-1-1002020000-10-10
χ1622-122-1222-1-1-12-1-1-1-122-1-1-1-100-20-20000101022-122-1222-1-1-12-1-1-1-122-1-1-1-100-20-20000101022-122-1222-1-1-12-1-1-1-122-1-1-1-100-20-20000101022-122-1222-1-1-12-1-1-1-122-1-1-1-100-20-200001010
χ1722-122-12-2-2-1-1-12-1-111-2-211110020-20000-101022-122-12-2-2-1-1-12-1-111-2-211110020-20000-101022-122-12-2-2-1-1-12-1-111-2-211110020-20000-101022-122-12-2-2-1-1-12-1-111-2-211110020-20000-1010
χ1822-122-12-2-2-1-1-12-1-111-2-2111100-202000010-1022-122-12-2-2-1-1-12-1-111-2-2111100-202000010-1022-122-12-2-2-1-1-12-1-111-2-2111100-202000010-1022-122-12-2-2-1-1-12-1-111-2-2111100-202000010-10
χ192-2220-2-2i2−i22-20000i2−i2i2−i2i2i2−i2−i22i−2i000002−200002-2220-2-2i2−i22-20000i2−i2i2−i2i2i2−i2−i22i−2i000002−200002-2220-2-2i2−i22-20000i2−i2i2−i2i2i2−i2−i22i−2i000002−200002-2220-2-2i2−i22-20000i2−i2i2−i2i2i2−i2−i22i−2i000002−20000
χ202-2220-2-2i2−i22-20000i2−i2i2−i2i2i2−i2−i2−2i2i00000−2200002-2220-2-2i2−i22-20000i2−i2i2−i2i2i2−i2−i2−2i2i00000−2200002-2220-2-2i2−i22-20000i2−i2i2−i2i2i2−i2−i2−2i2i00000−2200002-2220-2-2i2−i22-20000i2−i2i2−i2i2i2−i2−i2−2i2i00000−220000
χ212-2220-2-2−i2i22-20000−i2i2−i2i2−i2−i2i2i22i−2i00000−2200002-2220-2-2−i2i22-20000−i2i2−i2i2−i2−i2i2i22i−2i00000−2200002-2220-2-2−i2i22-20000−i2i2−i2i2−i2−i2i2i22i−2i00000−2200002-2220-2-2−i2i22-20000−i2i2−i2i2−i2−i2i2i22i−2i00000−220000
χ222-2220-2-2−i2i22-20000−i2i2−i2i2−i2−i2i2i2−2i2i000002−200002-2220-2-2−i2i22-20000−i2i2−i2i2−i2−i2i2i2−2i2i000002−200002-2220-2-2−i2i22-20000−i2i2−i2i2−i2−i2i2i2−2i2i000002−200002-2220-2-2−i2i22-20000−i2i2−i2i2−i2−i2i2i2−2i2i000002−20000
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
χ294-44-20-422i2−2i2-2200002i2−2i2−i2i2−i2−i2i2i200000000000004-44-20-422i2−2i2-2200002i2−2i2−i2i2−i2−i2i2i200000000000004-44-20-422i2−2i2-2200002i2−2i2−i2i2−i2−i2i2i200000000000004-44-20-422i2−2i2-2200002i2−2i2−i2i2−i2−i2i2i20000000000000
χ304-44-20-42−2i22i2-220000−2i22i2i2−i2i2i2−i2−i200000000000004-44-20-42−2i22i2-220000−2i22i2i2−i2i2i2−i2−i200000000000004-44-20-42−2i22i2-220000−2i22i2i2−i2i2i2−i2−i200000000000004-44-20-42−2i22i2-220000−2i22i2i2−i2i2i2−i2−i20000000000000
χ314-4-2402-42i2−2i2-220000−i2i22i2−2i2−i2−i2i2i200000000000004-4-2402-42i2−2i2-220000−i2i22i2−2i2−i2−i2i2i200000000000004-4-2402-42i2−2i2-220000−i2i22i2−2i2−i2−i2i2i200000000000004-4-2402-42i2−2i2-220000−i2i22i2−2i2−i2−i2i2i20000000000000
χ324-4-2402-4−2i22i2-220000i2−i2−2i22i2i2i2−i2−i200000000000004-4-2402-4−2i22i2-220000i2−i2−2i22i2i2i2−i2−i200000000000004-4-2402-4−2i22i2-220000i2−i2−2i22i2i2i2−i2−i200000000000004-4-2402-4−2i22i2-220000i2−i2−2i22i2i2i2−i2−i20000000000000
χ334-4-2-20222i2−2i21-1003i−3i−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ300000000000004-4-2-20222i2−2i21-1003i−3i−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ300000000000004-4-2-20222i2−2i21-1003i−3i−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ300000000000004-4-2-20222i2−2i21-1003i−3i−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ30000000000000
χ344-4-2-20222i2−2i21-100−3i3i−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ300000000000004-4-2-20222i2−2i21-100−3i3i−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ300000000000004-4-2-20222i2−2i21-100−3i3i−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ300000000000004-4-2-20222i2−2i21-100−3i3i−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ30000000000000
χ354-4-2-2022−2i22i21-1003i−3ii2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ300000000000004-4-2-2022−2i22i21-1003i−3ii2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ300000000000004-4-2-2022−2i22i21-1003i−3ii2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ300000000000004-4-2-2022−2i22i21-1003i−3ii2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ30000000000000
χ364-4-2-2022−2i22i21-100−3i3ii2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ300000000000004-4-2-2022−2i22i21-100−3i3ii2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ300000000000004-4-2-2022−2i22i21-100−3i3ii2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ300000000000004-4-2-2022−2i22i21-100−3i3ii2−i2i2−i2ζ−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
χ3911111111111111111111111-1-11-11-1-1-1-11-11-1iiiiiiiiiiiiiiiiiiiiiii−i−ii−ii−i−i−i−ii−ii−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11111-11-11−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−ii−iiiii−ii−ii
χ4011111111111111111111111-1-1-11-11-1-1-1-11-11iiiiiiiiiiiiiiiiiiiiiii−i−i−ii−ii−i−i−i−ii−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-11111-11-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiii−ii−iiiii−ii−i
χ411111111-1-1111111-1-1-1-1-1-1-1-1111-1-111-1-11-1-11iiiiiii−i−iiiiiii−i−i−i−i−i−i−i−iiii−i−iii−i−ii−i−ii-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-111-1-111-111-1−i−i−i−i−i−i−iii−i−i−i−i−i−iiiiiiiii−i−i−iii−i−iii−iii−i
χ421111111-1-1111111-1-1-1-1-1-1-1-111-111-11-1-1-111-1iiiiiii−i−iiiiiii−i−i−i−i−i−i−i−iii−iii−ii−i−i−iii−i-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-11-1-11-1111-1-11−i−i−i−i−i−i−iii−i−i−i−i−i−iiiiiiiii−i−ii−i−ii−iiii−i−ii
χ431111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1iiiiiii−i−iiiiiii−i−i−i−i−i−i−i−i−i−iii−i−i−iiiii−i−i-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1111-1-1-1-111−i−i−i−i−i−i−iii−i−i−i−i−i−iiiiiiiiiii−i−iiii−i−i−i−iii
χ441111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111iiiiiii−i−iiiiiii−i−i−i−i−i−i−i−i−i−i−i−iii−iii−i−iii-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-11-1-111-1-1−i−i−i−i−i−i−iii−i−i−i−i−i−iiiiiiiiiiiii−i−ii−i−iii−i−i
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
χ47222-122-122-1-12-1-1-122-1-1-1-1-1-10002020000-10-12i2i2i−i2i2i−i2i2i−i−i2i−i−i−i2i2i−i−i−i−i−i−i0002i02i0000−i0−i-2-2-21-2-21-2-211-2111-2-2111111000-20-20000101−2i−2i−2ii−2i−2ii−2i−2iii−2iiii−2i−2iiiiiii000−2i0−2i0000i0i
χ48222-122-122-1-12-1-1-122-1-1-1-1-1-1000-20-200001012i2i2i−i2i2i−i2i2i−i−i2i−i−i−i2i2i−i−i−i−i−i−i000−2i0−2i0000i0i-2-2-21-2-21-2-211-2111-2-21111110002020000-10-1−2i−2i−2ii−2i−2ii−2i−2iii−2iiii−2i−2iiiiiii0002i02i0000−i0−i
χ49222-122-1-2-2-1-12-1-1-1-2-211111100020-20000-1012i2i2i−i2i2i−i−2i−2i−i−i2i−i−i−i−2i−2iiiiiii0002i0−2i0000−i0i-2-2-21-2-212211-211122-1-1-1-1-1-1000-202000010-1−2i−2i−2ii−2i−2ii2i2iii−2iiii2i2i−i−i−i−i−i−i000−2i02i0000i0−i
χ50222-122-1-2-2-1-12-1-1-1-2-2111111000-202000010-12i2i2i−i2i2i−i−2i−2i−i−i2i−i−i−i−2i−2iiiiiii000−2i02i0000i0−i-2-2-21-2-212211-211122-1-1-1-1-1-100020-20000-101−2i−2i−2ii−2i−2ii2i2iii−2iiii2i2i−i−i−i−i−i−i0002i0−2i0000−i0i
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χ1064-4-2-20222i2−2i21-100−3i3i−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ30000000000000-44220-2-2−2i22i2-11003i−3ii2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ300000000000004-4-2-20222i2−2i21-100−3i3i−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ30000000000000-44220-2-2−2i22i2-11003i−3ii2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ30000000000000
χ1074-4-2-2022−2i22i21-1003i−3ii2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ30000000000000-44220-2-22i2−2i2-1100−3i3i−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ300000000000004-4-2-2022−2i22i21-1003i−3ii2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ30000000000000-44220-2-22i2−2i2-1100−3i3i−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ30000000000000
χ1084-4-2-2022−2i22i21-100−3i3ii2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ30000000000000-44220-2-22i2−2i2-11003i−3i−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ300000000000004-4-2-2022−2i22i21-100−3i3ii2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ30000000000000-44220-2-22i2−2i2-11003i−3i−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ30000000000000
χ109111111111111111111111111111111111111−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-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
χ1101111111111111111111111111-1-1-1-1111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111iiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−iiii−i−i−i−i
χ11111111111111111111111111-1-11-11-1-1-1-11-11-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−ii−iiiii−ii−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11111-11-11iiiiiiiiiiiiiiiiiiiiiii−i−ii−ii−i−i−i−ii−ii−i
χ11211111111111111111111111-1-1-11-11-1-1-1-11-11−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiii−ii−iiiii−ii−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-11111-11-1iiiiiiiiiiiiiiiiiiiiiii−i−i−ii−ii−i−i−i−ii−ii
χ1131111111-1-1111111-1-1-1-1-1-1-1-1111-1-111-1-11-1-11−i−i−i−i−i−i−iii−i−i−i−i−i−iiiiiiiii−i−i−iii−i−iii−iii−i-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-111-1-111-111-1iiiiiii−i−iiiiiii−i−i−i−i−i−i−i−iiii−i−iii−i−ii−i−ii
χ1141111111-1-1111111-1-1-1-1-1-1-1-111-111-11-1-1-111-1−i−i−i−i−i−i−iii−i−i−i−i−i−iiiiiiiii−i−ii−i−ii−iiii−i−ii-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-11-1-11-1111-1-11iiiiiii−i−iiiiiii−i−i−i−i−i−i−i−iii−iii−ii−i−i−iii−i
χ1151111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1−i−i−i−i−i−i−iii−i−i−i−i−i−iiiiiiiiiii−i−iiii−i−i−i−iii-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1111-1-1-1-111iiiiiii−i−iiiiiii−i−i−i−i−i−i−i−i−i−iii−i−i−iiiii−i−i
χ1161111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111−i−i−i−i−i−i−iii−i−i−i−i−i−iiiiiiiiiiiii−i−ii−i−iii−i−i-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-11-1-111-1-1iiiiiii−i−iiiiiii−i−i−i−i−i−i−i−i−i−i−i−iii−iii−i−iii
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
χ119222-122-122-1-12-1-1-122-1-1-1-1-1-10002020000-10-1−2i−2i−2ii−2i−2ii−2i−2iii−2iiii−2i−2iiiiiii000−2i0−2i0000i0i-2-2-21-2-21-2-211-2111-2-2111111000-20-200001012i2i2i−i2i2i−i2i2i−i−i2i−i−i−i2i2i−i−i−i−i−i−i0002i02i0000−i0−i
χ120222-122-122-1-12-1-1-122-1-1-1-1-1-1000-20-20000101−2i−2i−2ii−2i−2ii−2i−2iii−2iiii−2i−2iiiiiii0002i02i0000−i0−i-2-2-21-2-21-2-211-2111-2-21111110002020000-10-12i2i2i−i2i2i−i2i2i−i−i2i−i−i−i2i2i−i−i−i−i−i−i000−2i0−2i0000i0i
χ121222-122-1-2-2-1-12-1-1-1-2-211111100020-20000-101−2i−2i−2ii−2i−2ii2i2iii−2iiii2i2i−i−i−i−i−i−i000−2i02i0000i0−i-2-2-21-2-212211-211122-1-1-1-1-1-1000-202000010-12i2i2i−i2i2i−i−2i−2i−i−i2i−i−i−i−2i−2iiiiiii0002i0−2i0000−i0i
χ122222-122-1-2-2-1-12-1-1-1-2-2111111000-202000010-1−2i−2i−2ii−2i−2ii2i2iii−2iiii2i2i−i−i−i−i−i−i0002i0−2i0000−i0i-2-2-21-2-212211-211122-1-1-1-1-1-100020-20000-1012i2i2i−i2i2i−i−2i−2i−i−i2i−i−i−i−2i−2iiiiiii000−2i02i0000i0−i
χ12322-122-1222-1-1-12-1-1-1-122-1-1-1-1002020000-10-10−2i−2ii−2i−2ii−2i−2i−2iiii−2iiiii−2i−2iiiii00−2i0−2i0000i0i0-2-21-2-21-2-2-2111-21111-2-2111100-20-2000010102i2i−i2i2i−i2i2i2i−i−i−i2i−i−i−i−i2i2i−i−i−i−i002i02i0000−i0−i0
χ12422-122-1222-1-1-12-1-1-1-122-1-1-1-100-20-200001010−2i−2ii−2i−2ii−2i−2i−2iiii−2iiiii−2i−2iiiii002i02i0000−i0−i0-2-21-2-21-2-2-2111-21111-2-21111002020000-10-102i2i−i2i2i−i2i2i2i−i−i−i2i−i−i−i−i2i2i−i−i−i−i00−2i0−2i0000i0i0
χ12522-122-12-2-2-1-1-12-1-111-2-211110020-20000-1010−2i−2ii−2i−2ii−2i2i2iiii−2iii−i−i2i2i−i−i−i−i00−2i02i0000i0−i0-2-21-2-21-222111-211-1-122-1-1-1-100-202000010-102i2i−i2i2i−i2i−2i−2i−i−i−i2i−i−iii−2i−2iiiii002i0−2i0000−i0i0
χ12622-122-12-2-2-1-1-12-1-111-2-2111100-202000010-10−2i−2ii−2i−2ii−2i2i2iiii−2iii−i−i2i2i−i−i−i−i002i0−2i0000−i0i0-2-21-2-21-222111-211-1-122-1-1-1-10020-20000-10102i2i−i2i2i−i2i−2i−2i−i−i−i2i−i−iii−2i−2iiiii00−2i02i0000i0−i0
χ1272-2220-2-2i2−i22-20000i2−i2i2−i2i2i2−i2−i22i−2i000002−20000−2i2i−2i−2i02i2i2−2−2i2i00002−22−222−2−22-200000−i2i20000-22-2-2022−i2i2-220000−i2i2−i2i2−i2−i2i2i2−2i2i00000−2200002i−2i2i2i0−2i−2i−222i−2i0000−22−22−2−222-2200000i2−i20000
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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
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χ1374-44-20-422i2−2i2-2200002i2−2i2−i2i2−i2−i2i2i20000000000000−4i4i−4i2i04i−2i22−222i−2i000022−22−22−2−2220000000000000-44-4204-2−2i22i22-20000−2i22i2i2−i2i2i2−i2−i200000000000004i−4i4i−2i0−4i2i−2222−2i2i0000−22222−222−2−20000000000000
χ1384-44-20-42−2i22i2-220000−2i22i2i2−i2i2i2−i2−i20000000000000−4i4i−4i2i04i−2i−22222i−2i0000−22222−222−2−20000000000000-44-4204-22i2−2i22-200002i2−2i2−i2i2−i2−i2i2i200000000000004i−4i4i−2i0−4i2i22−22−2i2i000022−22−22−2−2220000000000000
χ1394-4-2402-42i2−2i2-220000−i2i22i2−2i2−i2−i2i2i20000000000000−4i4i2i−4i0−2i4i22−222i−2i0000−2222−22−2−2220000000000000-442-40-24−2i22i22-20000i2−i2−2i22i2i2i2−i2−i200000000000004i−4i−2i4i02i−4i−2222−2i2i00002−2−222222−2−20000000000000
χ1404-4-2402-4−2i22i2-220000i2−i2−2i22i2i2i2−i2−i20000000000000−4i4i2i−4i0−2i4i−22222i−2i00002−2−222222−2−20000000000000-442-40-242i2−2i22-20000−i2i22i2−2i2−i2−i2i2i200000000000004i−4i−2i4i02i−4i22−22−2i2i0000−2222−22−2−2220000000000000
χ1414-4-2-20222i2−2i21-1003i−3i−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ30000000000000−4i4i2i2i0−2i−2i22−22−ii003-3−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ30000000000000-44220-2-2−2i22i2-1100−3i3ii2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ300000000000004i−4i−2i−2i02i2i−2222i−i00-332−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ30000000000000
χ1424-4-2-20222i2−2i21-100−3i3i−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ30000000000000−4i4i2i2i0−2i−2i22−22−ii00-33−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ30000000000000-44220-2-2−2i22i2-11003i−3ii2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ300000000000004i−4i−2i−2i02i2i−2222i−i003-32−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ30000000000000
χ1434-4-2-2022−2i22i21-1003i−3ii2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ30000000000000−4i4i2i2i0−2i−2i−2222−ii003-32−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ30000000000000-44220-2-22i2−2i2-1100−3i3i−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ300000000000004i−4i−2i−2i02i2i22−22i−i00-33−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ30000000000000
χ1444-4-2-2022−2i22i21-100−3i3ii2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ30000000000000−4i4i2i2i0−2i−2i−2222−ii00-332−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ30000000000000-44220-2-22i2−2i2-11003i−3i−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ300000000000004i−4i−2i−2i02i2i22−22i−i003-3−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ30000000000000

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