Finite Group Databasebeta

← Group #13140157

Character table — Group #13140157

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size111122226666666612121212181818181818181818181818181818181818111122226666666612121212181818181818181818181818181818181818111122226666666612121212181818181818181818181818181818181818111122226666666612121212181818181818181818181818181818181818
order12223666336666663666224444666612121212121212124444121212121212121212121212121212124444441212121212121212121212122222666666666666666622444466661212121212121212444412121212121212121212121212121212444444121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111
χ511-1-111-1-1111-11-1-1-111-1-11-1i−ii−i11-1-1ii−i−iii−i−i11-1-111-1-1111-11-1-1-111-1-11-1i−ii−i11-1-1ii−i−iii−i−i11-1-111-1-1111-11-1-1-111-1-11-1i−ii−i11-1-1ii−i−iii−i−i11-1-111-1-1111-11-1-1-111-1-11-1i−ii−i11-1-1ii−i−iii−i−i
χ611-1-111-1-1111-11-1-1-111-1-11-1−ii−ii11-1-1−i−iii−i−iii11-1-111-1-1111-11-1-1-111-1-11-1−ii−ii11-1-1−i−iii−i−iii11-1-111-1-1111-11-1-1-111-1-11-1−ii−ii11-1-1−i−iii−i−iii11-1-111-1-1111-11-1-1-111-1-11-1−ii−ii11-1-1−i−iii−i−iii
χ711-1-111-1-1111-11-1-1-111-1-1-11i−i−ii-1-111ii−i−i−i−iii11-1-111-1-1111-11-1-1-111-1-1-11i−i−ii-1-111ii−i−i−i−iii11-1-111-1-1111-11-1-1-111-1-1-11i−i−ii-1-111ii−i−i−i−iii11-1-111-1-1111-11-1-1-111-1-1-11i−i−ii-1-111ii−i−i−i−iii
χ811-1-111-1-1111-11-1-1-111-1-1-11−iii−i-1-111−i−iiiii−i−i11-1-111-1-1111-11-1-1-111-1-1-11−iii−i-1-111−i−iiiii−i−i11-1-111-1-1111-11-1-1-111-1-1-11−iii−i-1-111−i−iiiii−i−i11-1-111-1-1111-11-1-1-111-1-1-11−iii−i-1-111−i−iiiii−i−i
χ9222222222-122-1-1-12-1-1-1-1220000-1-1-1-100000000222222222-122-1-1-12-1-1-1-1220000-1-1-1-100000000222222222-122-1-1-12-1-1-1-1220000-1-1-1-100000000222222222-122-1-1-12-1-1-1-1220000-1-1-1-100000000
χ10222222222-122-1-1-12-1-1-1-1-2-20000111100000000222222222-122-1-1-12-1-1-1-1-2-20000111100000000222222222-122-1-1-12-1-1-1-1-2-20000111100000000222222222-122-1-1-12-1-1-1-1-2-20000111100000000
χ1122222222-12-1-1222-1-1-1-1-100002200000000-1-1-1-122222222-12-1-1222-1-1-1-1-100002200000000-1-1-1-122222222-12-1-1222-1-1-1-1-100002200000000-1-1-1-122222222-12-1-1222-1-1-1-1-100002200000000-1-1-1-1
χ1222222222-12-1-1222-1-1-1-1-10000-2-200000000111122222222-12-1-1222-1-1-1-1-10000-2-200000000111122222222-12-1-1222-1-1-1-1-10000-2-200000000111122222222-12-1-1222-1-1-1-1-10000-2-2000000001111
χ1322-2-222-2-22-12-2-111-2-1-1112-20000-1-1110000000022-2-222-2-22-12-2-111-2-1-1112-20000-1-1110000000022-2-222-2-22-12-2-111-2-1-1112-20000-1-1110000000022-2-222-2-22-12-2-111-2-1-1112-20000-1-11100000000
χ1422-2-222-2-22-12-2-111-2-1-111-22000011-1-10000000022-2-222-2-22-12-2-111-2-1-111-22000011-1-10000000022-2-222-2-22-12-2-111-2-1-111-22000011-1-10000000022-2-222-2-22-12-2-111-2-1-111-22000011-1-100000000
χ1522-2-222-2-2-12-112-2-21-1-11100002i−2i00000000−i−iii22-2-222-2-2-12-112-2-21-1-11100002i−2i00000000−i−iii22-2-222-2-2-12-112-2-21-1-11100002i−2i00000000−i−iii22-2-222-2-2-12-112-2-21-1-11100002i−2i00000000−i−iii
χ1622-2-222-2-2-12-112-2-21-1-1110000−2i2i00000000ii−i−i22-2-222-2-2-12-112-2-21-1-1110000−2i2i00000000ii−i−i22-2-222-2-2-12-112-2-21-1-1110000−2i2i00000000ii−i−i22-2-222-2-2-12-112-2-21-1-1110000−2i2i00000000ii−i−i
χ172-22-22-22-222-2-2-22-222-22-20000000000000000002-22-22-22-222-2-2-22-222-22-20000000000000000002-22-22-22-222-2-2-22-222-22-20000000000000000002-22-22-22-222-2-2-22-222-22-2000000000000000000
χ182-22-22-22-22-1-2-21-112-11-11000000−i3i3−i3i3000000002-22-22-22-22-1-2-21-112-11-11000000−i3i3−i3i3000000002-22-22-22-22-1-2-21-112-11-11000000−i3i3−i3i3000000002-22-22-22-22-1-2-21-112-11-11000000−i3i3−i3i300000000
χ192-22-22-22-22-1-2-21-112-11-11000000i3−i3i3−i3000000002-22-22-22-22-1-2-21-112-11-11000000i3−i3i3−i3000000002-22-22-22-22-1-2-21-112-11-11000000i3−i3i3−i3000000002-22-22-22-22-1-2-21-112-11-11000000i3−i3i3−i300000000
χ202-22-22-22-2-1211-22-2-1-11-1100000000000000−i3i3−i3i32-22-22-22-2-1211-22-2-1-11-1100000000000000−i3i3−i3i32-22-22-22-2-1211-22-2-1-11-1100000000000000−i3i3−i3i32-22-22-22-2-1211-22-2-1-11-1100000000000000−i3i3−i3i3
χ212-22-22-22-2-1211-22-2-1-11-1100000000000000i3−i3i3−i32-22-22-22-2-1211-22-2-1-11-1100000000000000i3−i3i3−i32-22-22-22-2-1211-22-2-1-11-1100000000000000i3−i3i3−i32-22-22-22-2-1211-22-2-1-11-1100000000000000i3−i3i3−i3
χ222-2-222-2-2222-22-2-22-22-2-220000000000000000002-2-222-2-2222-22-2-22-22-2-220000000000000000002-2-222-2-2222-22-2-22-22-2-220000000000000000002-2-222-2-2222-22-2-22-22-2-22000000000000000000
χ232-2-222-2-222-1-2211-1-2-111-1000000−i3i3i3−i3000000002-2-222-2-222-1-2211-1-2-111-1000000−i3i3i3−i3000000002-2-222-2-222-1-2211-1-2-111-1000000−i3i3i3−i3000000002-2-222-2-222-1-2211-1-2-111-1000000−i3i3i3−i300000000
χ242-2-222-2-222-1-2211-1-2-111-1000000i3−i3−i3i3000000002-2-222-2-222-1-2211-1-2-111-1000000i3−i3−i3i3000000002-2-222-2-222-1-2211-1-2-111-1000000i3−i3−i3i3000000002-2-222-2-222-1-2211-1-2-111-1000000i3−i3−i3i300000000
χ252-2-222-2-22-121-1-2-221-111-1000000000000003−3−332-2-222-2-22-121-1-2-221-111-1000000000000003−3−332-2-222-2-22-121-1-2-221-111-1000000000000003−3−332-2-222-2-22-121-1-2-221-111-1000000000000003−3−33
χ262-2-222-2-22-121-1-2-221-111-100000000000000−333−32-2-222-2-22-121-1-2-221-111-100000000000000−333−32-2-222-2-22-121-1-2-221-111-100000000000000−333−32-2-222-2-22-121-1-2-221-111-100000000000000−333−3
χ2744444444-2-2-2-2-2-2-2-2111100000000000000000044444444-2-2-2-2-2-2-2-2111100000000000000000044444444-2-2-2-2-2-2-2-2111100000000000000000044444444-2-2-2-2-2-2-2-21111000000000000000000
χ2844-4-444-4-4-2-2-22-222211-1-100000000000000000044-4-444-4-4-2-2-22-222211-1-100000000000000000044-4-444-4-4-2-2-22-222211-1-100000000000000000044-4-444-4-4-2-2-22-222211-1-1000000000000000000
χ294-44-44-44-4-2-2222-22-21-11-10000000000000000004-44-44-44-4-2-2222-22-21-11-10000000000000000004-44-44-44-4-2-2222-22-21-11-10000000000000000004-44-44-44-4-2-2222-22-21-11-1000000000000000000
χ304-4-444-4-44-2-22-222-221-1-110000000000000000004-4-444-4-44-2-22-222-221-1-110000000000000000004-4-444-4-44-2-22-222-221-1-110000000000000000004-4-444-4-44-2-22-222-221-1-11000000000000000000
χ316666-3-3-3-30000000000000022000000-1-1-1-100006666-3-3-3-30000000000000022000000-1-1-1-100006666-3-3-3-30000000000000022000000-1-1-1-100006666-3-3-3-30000000000000022000000-1-1-1-10000
χ326666-3-3-3-300000000000000-2-2000000111100006666-3-3-3-300000000000000-2-2000000111100006666-3-3-3-300000000000000-2-2000000111100006666-3-3-3-300000000000000-2-200000011110000
χ3366-6-6-3-333000000000000002i−2i000000−i−iii000066-6-6-3-333000000000000002i−2i000000−i−iii000066-6-6-3-333000000000000002i−2i000000−i−iii000066-6-6-3-333000000000000002i−2i000000−i−iii0000
χ3466-6-6-3-33300000000000000−2i2i000000ii−i−i000066-6-6-3-33300000000000000−2i2i000000ii−i−i000066-6-6-3-33300000000000000−2i2i000000ii−i−i000066-6-6-3-33300000000000000−2i2i000000ii−i−i0000
χ356-66-6-33-3300000000000000000000003−33−300006-66-6-33-3300000000000000000000003−33−300006-66-6-33-3300000000000000000000003−33−300006-66-6-33-3300000000000000000000003−33−30000
χ366-66-6-33-330000000000000000000000−33−3300006-66-6-33-330000000000000000000000−33−3300006-66-6-33-330000000000000000000000−33−3300006-66-6-33-330000000000000000000000−33−330000
χ376-6-66-333-30000000000000000000000−i3i3i3−i300006-6-66-333-30000000000000000000000−i3i3i3−i300006-6-66-333-30000000000000000000000−i3i3i3−i300006-6-66-333-30000000000000000000000−i3i3i3−i30000
χ386-6-66-333-30000000000000000000000i3−i3−i3i300006-6-66-333-30000000000000000000000i3−i3−i3i300006-6-66-333-30000000000000000000000i3−i3−i3i300006-6-66-333-30000000000000000000000i3−i3−i3i30000
χ3911111111111111111111111111111111111111iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii-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−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−i−i
χ401111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii
χ4111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1iiiiiiiiiiiiiiiiiiii−i−iii−i−i−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−iiiiiii−i−i−i−iiiii
χ4211111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111iiiiiiiiiiiiiiiiiiii−i−i−i−iii−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−iiiiiiiii−i−i−i−i
χ4311-1-111-1-1111-11-1-1-111-1-11-1i−ii−i11-1-1ii−i−iii−i−iii−i−iii−i−iiii−ii−i−i−iii−i−ii−i-11-11ii−i−i-1-111-1-111-1-111-1-111-1-1-11-1111-1-111-11−ii−ii-1-111−i−iii−i−iii−i−iii−i−iii−i−i−ii−iiii−i−iii−ii1-11-1−i−iii11-1-111-1-1
χ4411-1-111-1-1111-11-1-1-111-1-11-1−ii−ii11-1-1−i−iii−i−iiiii−i−iii−i−iiii−ii−i−i−iii−i−ii−i1-11-1ii−i−i11-1-111-1-1-1-111-1-111-1-1-11-1111-1-111-11i−ii−i-1-111ii−i−iii−i−i−i−iii−i−iii−i−i−ii−iiii−i−iii−ii-11-11−i−iii-1-111-1-111
χ4511-1-111-1-1111-11-1-1-111-1-1-11i−i−ii-1-111ii−i−i−i−iiiii−i−iii−i−iiii−ii−i−i−iii−i−i−ii-111-1−i−iii-1-11111-1-1-1-111-1-111-1-1-11-1111-1-1111-1−iii−i11-1-1−i−iiiii−i−i−i−iii−i−iii−i−i−ii−iiii−i−iiii−i1-1-11ii−i−i11-1-1-1-111
χ4611-1-111-1-1111-11-1-1-111-1-1-11−iii−i-1-111−i−iiiii−i−iii−i−iii−i−iiii−ii−i−i−iii−i−i−ii1-1-11−i−iii11-1-1-1-111-1-111-1-111-1-1-11-1111-1-1111-1i−i−ii11-1-1ii−i−i−i−iii−i−iii−i−iii−i−i−ii−iiii−i−iiii−i-111-1ii−i−i-1-11111-1-1
χ47222222222-122-1-1-12-1-1-1-1220000-1-1-1-1000000002i2i2i2i2i2i2i2i2i−i2i2i−i−i−i2i−i−i−i−i2i2i0000−i−i−i−i00000000-2-2-2-2-2-2-2-2-21-2-2111-21111-2-20000111100000000−2i−2i−2i−2i−2i−2i−2i−2i−2ii−2i−2iiii−2iiiii−2i−2i0000iiii00000000
χ48222222222-122-1-1-12-1-1-1-1-2-200001111000000002i2i2i2i2i2i2i2i2i−i2i2i−i−i−i2i−i−i−i−i−2i−2i0000iiii00000000-2-2-2-2-2-2-2-2-21-2-2111-21111220000-1-1-1-100000000−2i−2i−2i−2i−2i−2i−2i−2i−2ii−2i−2iiii−2iiiii2i2i0000−i−i−i−i00000000
χ4922222222-12-1-1222-1-1-1-1-100002200000000-1-1-1-12i2i2i2i2i2i2i2i−i2i−i−i2i2i2i−i−i−i−i−i00002i2i00000000−i−i−i−i-2-2-2-2-2-2-2-21-211-2-2-2111110000-2-2000000001111−2i−2i−2i−2i−2i−2i−2i−2ii−2iii−2i−2i−2iiiiii0000−2i−2i00000000iiii
χ5022222222-12-1-1222-1-1-1-1-10000-2-20000000011112i2i2i2i2i2i2i2i−i2i−i−i2i2i2i−i−i−i−i−i0000−2i−2i00000000iiii-2-2-2-2-2-2-2-21-211-2-2-21111100002200000000-1-1-1-1−2i−2i−2i−2i−2i−2i−2i−2ii−2iii−2i−2i−2iiiiii00002i2i00000000−i−i−i−i
χ5122-2-222-2-22-12-2-111-2-1-1112-20000-1-111000000002i2i−2i−2i2i2i−2i−2i2i−i2i−2i−iii−2i−i−iii2i−2i0000−i−iii00000000-2-222-2-222-21-221-1-1211-1-1-22000011-1-100000000−2i−2i2i2i−2i−2i2i2i−2ii−2i2ii−i−i2iii−i−i−2i2i0000ii−i−i00000000
χ5222-2-222-2-22-12-2-111-2-1-111-22000011-1-1000000002i2i−2i−2i2i2i−2i−2i2i−i2i−2i−iii−2i−i−iii−2i2i0000ii−i−i00000000-2-222-2-222-21-221-1-1211-1-12-20000-1-11100000000−2i−2i2i2i−2i−2i2i2i−2ii−2i2ii−i−i2iii−i−i2i−2i0000−i−iii00000000
χ5322-2-222-2-2-12-112-2-21-1-11100002i−2i00000000−i−iii2i2i−2i−2i2i2i−2i−2i−i2i−ii2i−2i−2ii−i−iii0000-220000000011-1-1-2-222-2-2221-21-1-222-111-1-10000−2i2i00000000ii−i−i−2i−2i2i2i−2i−2i2i2ii−2ii−i−2i2i2i−iii−i−i00002-200000000-1-111
χ5422-2-222-2-2-12-112-2-21-1-1110000−2i2i00000000ii−i−i2i2i−2i−2i2i2i−2i−2i−i2i−ii2i−2i−2ii−i−iii00002-200000000-1-111-2-222-2-2221-21-1-222-111-1-100002i−2i00000000−i−iii−2i−2i2i2i−2i−2i2i2ii−2ii−i−2i2i2i−iii−i−i0000-220000000011-1-1
χ552-22-22-22-222-2-2-22-222-22-20000000000000000002i−2i2i−2i2i−2i2i−2i2i2i−2i−2i−2i2i−2i2i2i−2i2i−2i000000000000000000-22-22-22-22-2-2222-22-2-22-22000000000000000000−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i2i−2i2i−2i−2i2i−2i2i000000000000000000
χ562-22-22-22-22-1-2-21-112-11-11000000−i3i3−i3i3000000002i−2i2i−2i2i−2i2i−2i2i−i−2i−2ii−ii2i−ii−ii0000003−33−300000000-22-22-22-22-2122-11-1-21-11-1000000i3−i3i3−i300000000−2i2i−2i2i−2i2i−2i2i−2ii2i2i−ii−i−2ii−ii−i000000−33−3300000000
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χ11911-1-111-1-1111-11-1-1-111-1-11-1i−ii−i11-1-1ii−i−iii−i−i−i−iii−i−iii−i−i−ii−iiii−i−iii−ii1-11-1−i−iii11-1-111-1-1-1-111-1-111-1-1-11-1111-1-111-11−ii−ii-1-111−i−iii−i−iiiii−i−iii−i−iiii−ii−i−i−iii−i−ii−i-11-11ii−i−i-1-111-1-111
χ12011-1-111-1-1111-11-1-1-111-1-11-1−ii−ii11-1-1−i−iii−i−iii−i−iii−i−iii−i−i−ii−iiii−i−iii−ii-11-11−i−iii-1-111-1-111-1-111-1-111-1-1-11-1111-1-111-11i−ii−i-1-111ii−i−iii−i−iii−i−iii−i−iiii−ii−i−i−iii−i−ii−i1-11-1ii−i−i11-1-111-1-1
χ12111-1-111-1-1111-11-1-1-111-1-1-11i−i−ii-1-111ii−i−i−i−iii−i−iii−i−iii−i−i−ii−iiii−i−iiii−i1-1-11ii−i−i11-1-1-1-111-1-111-1-111-1-1-11-1111-1-1111-1−iii−i11-1-1−i−iiiii−i−iii−i−iii−i−iiii−ii−i−i−iii−i−i−ii-111-1−i−iii-1-11111-1-1
χ12211-1-111-1-1111-11-1-1-111-1-1-11−iii−i-1-111−i−iiiii−i−i−i−iii−i−iii−i−i−ii−iiii−i−iiii−i-111-1ii−i−i-1-11111-1-1-1-111-1-111-1-1-11-1111-1-1111-1i−i−ii11-1-1ii−i−i−i−iiiii−i−iii−i−iiii−ii−i−i−iii−i−i−ii1-1-11−i−iii11-1-1-1-111
χ123222222222-122-1-1-12-1-1-1-1220000-1-1-1-100000000−2i−2i−2i−2i−2i−2i−2i−2i−2ii−2i−2iiii−2iiiii−2i−2i0000iiii00000000-2-2-2-2-2-2-2-2-21-2-2111-21111-2-200001111000000002i2i2i2i2i2i2i2i2i−i2i2i−i−i−i2i−i−i−i−i2i2i0000−i−i−i−i00000000
χ124222222222-122-1-1-12-1-1-1-1-2-20000111100000000−2i−2i−2i−2i−2i−2i−2i−2i−2ii−2i−2iiii−2iiiii2i2i0000−i−i−i−i00000000-2-2-2-2-2-2-2-2-21-2-2111-21111220000-1-1-1-1000000002i2i2i2i2i2i2i2i2i−i2i2i−i−i−i2i−i−i−i−i−2i−2i0000iiii00000000
χ12522222222-12-1-1222-1-1-1-1-100002200000000-1-1-1-1−2i−2i−2i−2i−2i−2i−2i−2ii−2iii−2i−2i−2iiiiii0000−2i−2i00000000iiii-2-2-2-2-2-2-2-21-211-2-2-2111110000-2-20000000011112i2i2i2i2i2i2i2i−i2i−i−i2i2i2i−i−i−i−i−i00002i2i00000000−i−i−i−i
χ12622222222-12-1-1222-1-1-1-1-10000-2-2000000001111−2i−2i−2i−2i−2i−2i−2i−2ii−2iii−2i−2i−2iiiiii00002i2i00000000−i−i−i−i-2-2-2-2-2-2-2-21-211-2-2-21111100002200000000-1-1-1-12i2i2i2i2i2i2i2i−i2i−i−i2i2i2i−i−i−i−i−i0000−2i−2i00000000iiii
χ12722-2-222-2-22-12-2-111-2-1-1112-20000-1-11100000000−2i−2i2i2i−2i−2i2i2i−2ii−2i2ii−i−i2iii−i−i−2i2i0000ii−i−i00000000-2-222-2-222-21-221-1-1211-1-1-22000011-1-1000000002i2i−2i−2i2i2i−2i−2i2i−i2i−2i−iii−2i−i−iii2i−2i0000−i−iii00000000
χ12822-2-222-2-22-12-2-111-2-1-111-22000011-1-100000000−2i−2i2i2i−2i−2i2i2i−2ii−2i2ii−i−i2iii−i−i2i−2i0000−i−iii00000000-2-222-2-222-21-221-1-1211-1-12-20000-1-111000000002i2i−2i−2i2i2i−2i−2i2i−i2i−2i−iii−2i−i−iii−2i2i0000ii−i−i00000000
χ12922-2-222-2-2-12-112-2-21-1-11100002i−2i00000000−i−iii−2i−2i2i2i−2i−2i2i2ii−2ii−i−2i2i2i−iii−i−i00002-200000000-1-111-2-222-2-2221-21-1-222-111-1-10000−2i2i00000000ii−i−i2i2i−2i−2i2i2i−2i−2i−i2i−ii2i−2i−2ii−i−iii0000-220000000011-1-1
χ13022-2-222-2-2-12-112-2-21-1-1110000−2i2i00000000ii−i−i−2i−2i2i2i−2i−2i2i2ii−2ii−i−2i2i2i−iii−i−i0000-220000000011-1-1-2-222-2-2221-21-1-222-111-1-100002i−2i00000000−i−iii2i2i−2i−2i2i2i−2i−2i−i2i−ii2i−2i−2ii−i−iii00002-200000000-1-111
χ1312-22-22-22-222-2-2-22-222-22-2000000000000000000−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i2i−2i2i−2i−2i2i−2i2i000000000000000000-22-22-22-22-2-2222-22-2-22-220000000000000000002i−2i2i−2i2i−2i2i−2i2i2i−2i−2i−2i2i−2i2i2i−2i2i−2i000000000000000000
χ1322-22-22-22-22-1-2-21-112-11-11000000−i3i3−i3i300000000−2i2i−2i2i−2i2i−2i2i−2ii2i2i−ii−i−2ii−ii−i000000−33−3300000000-22-22-22-22-2122-11-1-21-11-1000000i3−i3i3−i3000000002i−2i2i−2i2i−2i2i−2i2i−i−2i−2ii−ii2i−ii−ii0000003−33−300000000
χ1332-22-22-22-22-1-2-21-112-11-11000000i3−i3i3−i300000000−2i2i−2i2i−2i2i−2i2i−2ii2i2i−ii−i−2ii−ii−i0000003−33−300000000-22-22-22-22-2122-11-1-21-11-1000000−i3i3−i3i3000000002i−2i2i−2i2i−2i2i−2i2i−i−2i−2ii−ii2i−ii−ii000000−33−3300000000
χ1342-22-22-22-2-1211-22-2-1-11-1100000000000000−i3i3−i3i3−2i2i−2i2i−2i2i−2i2ii−2i−i−i2i−2i2iii−ii−i00000000000000−33−33-22-22-22-221-2-1-12-2211-11-100000000000000i3−i3i3−i32i−2i2i−2i2i−2i2i−2i−i2iii−2i2i−2i−i−ii−ii000000000000003−33−3
χ1352-22-22-22-2-1211-22-2-1-11-1100000000000000i3−i3i3−i3−2i2i−2i2i−2i2i−2i2ii−2i−i−i2i−2i2iii−ii−i000000000000003−33−3-22-22-22-221-2-1-12-2211-11-100000000000000−i3i3−i3i32i−2i2i−2i2i−2i2i−2i−i2iii−2i2i−2i−i−ii−ii00000000000000−33−33
χ1362-2-222-2-2222-22-2-22-22-2-22000000000000000000−2i2i2i−2i−2i2i2i−2i−2i−2i2i−2i2i2i−2i2i−2i2i2i−2i000000000000000000-222-2-222-2-2-22-222-22-222-20000000000000000002i−2i−2i2i2i−2i−2i2i2i2i−2i2i−2i−2i2i−2i2i−2i−2i2i000000000000000000
χ1372-2-222-2-222-1-2211-1-2-111-1000000−i3i3i3−i300000000−2i2i2i−2i−2i2i2i−2i−2ii2i−2i−i−ii2ii−i−ii000000−333−300000000-222-2-222-2-212-2-1-1121-1-11000000i3−i3−i3i3000000002i−2i−2i2i2i−2i−2i2i2i−i−2i2iii−i−2i−iii−i0000003−3−3300000000
χ1382-2-222-2-222-1-2211-1-2-111-1000000i3−i3−i3i300000000−2i2i2i−2i−2i2i2i−2i−2ii2i−2i−i−ii2ii−i−ii0000003−3−3300000000-222-2-222-2-212-2-1-1121-1-11000000−i3i3i3−i3000000002i−2i−2i2i2i−2i−2i2i2i−i−2i2iii−i−2i−iii−i000000−333−300000000
χ1392-2-222-2-22-121-1-2-221-111-1000000000000003−3−33−2i2i2i−2i−2i2i2i−2ii−2i−ii2i2i−2i−ii−i−ii00000000000000−i3i3i3−i3-222-2-222-21-2-1122-2-11-1-1100000000000000−333−32i−2i−2i2i2i−2i−2i2i−i2ii−i−2i−2i2ii−iii−i00000000000000i3−i3−i3i3
χ1402-2-222-2-22-121-1-2-221-111-100000000000000−333−3−2i2i2i−2i−2i2i2i−2ii−2i−ii2i2i−2i−ii−i−ii00000000000000i3−i3−i3i3-222-2-222-21-2-1122-2-11-1-11000000000000003−3−332i−2i−2i2i2i−2i−2i2i−i2ii−i−2i−2i2ii−iii−i00000000000000−i3i3i3−i3
χ14144444444-2-2-2-2-2-2-2-21111000000000000000000−4i−4i−4i−4i−4i−4i−4i−4i2i2i2i2i2i2i2i2i−i−i−i−i000000000000000000-4-4-4-4-4-4-4-422222222-1-1-1-10000000000000000004i4i4i4i4i4i4i4i−2i−2i−2i−2i−2i−2i−2i−2iiiii000000000000000000
χ14244-4-444-4-4-2-2-22-222211-1-1000000000000000000−4i−4i4i4i−4i−4i4i4i2i2i2i−2i2i−2i−2i−2i−i−iii000000000000000000-4-444-4-444222-22-2-2-2-1-1110000000000000000004i4i−4i−4i4i4i−4i−4i−2i−2i−2i2i−2i2i2i2iii−i−i000000000000000000
χ1434-44-44-44-4-2-2222-22-21-11-1000000000000000000−4i4i−4i4i−4i4i−4i4i2i2i−2i−2i−2i2i−2i2i−ii−ii000000000000000000-44-44-44-4422-2-2-22-22-11-110000000000000000004i−4i4i−4i4i−4i4i−4i−2i−2i2i2i2i−2i2i−2ii−ii−i000000000000000000
χ1444-4-444-4-44-2-22-222-221-1-11000000000000000000−4i4i4i−4i−4i4i4i−4i2i2i−2i2i−2i−2i2i−2i−iii−i000000000000000000-444-4-444-422-22-2-22-2-111-10000000000000000004i−4i−4i4i4i−4i−4i4i−2i−2i2i−2i2i2i−2i2ii−i−ii000000000000000000
χ1456666-3-3-3-30000000000000022000000-1-1-1-10000−6i−6i−6i−6i3i3i3i3i00000000000000−2i−2i000000iiii0000-6-6-6-6333300000000000000-2-2000000111100006i6i6i6i−3i−3i−3i−3i000000000000002i2i000000−i−i−i−i0000
χ1466666-3-3-3-300000000000000-2-200000011110000−6i−6i−6i−6i3i3i3i3i000000000000002i2i000000−i−i−i−i0000-6-6-6-633330000000000000022000000-1-1-1-100006i6i6i6i−3i−3i−3i−3i00000000000000−2i−2i000000iiii0000
χ14766-6-6-3-333000000000000002i−2i000000−i−iii0000−6i−6i6i6i3i3i−3i−3i000000000000002-2000000-1-1110000-6-66633-3-300000000000000−2i2i000000ii−i−i00006i6i−6i−6i−3i−3i3i3i00000000000000-2200000011-1-10000
χ14866-6-6-3-33300000000000000−2i2i000000ii−i−i0000−6i−6i6i6i3i3i−3i−3i00000000000000-2200000011-1-10000-6-66633-3-3000000000000002i−2i000000−i−iii00006i6i−6i−6i−3i−3i3i3i000000000000002-2000000-1-1110000
χ1496-66-6-33-3300000000000000000000003−33−30000−6i6i−6i6i3i−3i3i−3i0000000000000000000000−i3i3−i3i30000-66-663-33-30000000000000000000000−33−3300006i−6i6i−6i−3i3i−3i3i0000000000000000000000i3−i3i3−i30000
χ1506-66-6-33-330000000000000000000000−33−330000−6i6i−6i6i3i−3i3i−3i0000000000000000000000i3−i3i3−i30000-66-663-33-300000000000000000000003−33−300006i−6i6i−6i−3i3i−3i3i0000000000000000000000−i3i3−i3i30000
χ1516-6-66-333-30000000000000000000000−i3i3i3−i30000−6i6i6i−6i3i−3i−3i3i0000000000000000000000−333−30000-666-63-3-330000000000000000000000i3−i3−i3i300006i−6i−6i6i−3i3i3i−3i00000000000000000000003−3−330000
χ1526-6-66-333-30000000000000000000000i3−i3−i3i30000−6i6i6i−6i3i−3i−3i3i00000000000000000000003−3−330000-666-63-3-330000000000000000000000−i3i3i3−i300006i−6i−6i6i−3i3i3i−3i0000000000000000000000−333−30000

Here i is the imaginary unit (i² = −1).