Finite Group Databasebeta

← Group #13178342

Character table — Group #13178342

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size111122222222222244444444444444444444444444444888888888888888888888888888888888888363636363636363636363636363636363636363636363636727272727272
order122233366666666633333444666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212222244444444666612121212121212126612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-11-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-11-111-1-11-1-111-1-1-1-1-1-1-1-111-1-11-1-11
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-11-1-111-1-1-1-111-1-111-1-1-1-1-111-1
χ51111111111111111111111-1-1111111111111111-1-111-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-11-1-1-11-111-11111-1-1-1-1-1-1-1-11-1111-1
χ61111111111111111111111-1-1111111111111111-1-111-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-11-1-11111-1-111111-1-1-1-11
χ71111111111111111111111-1-1111111111111111-1-111-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1111-1-1111111-1-1-111-1-1-1
χ81111111111111111111111-1-1111111111111111-1-111-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-11-1-1-1-1-1-1-111-1-111-11-1111
χ9111111111111111111111-11-1111111111111111-1-1-1-111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-111-11-1-1-1-1111111-1-1-1-11111-11-1-11-1
χ10111111111111111111111-11-1111111111111111-1-1-1-111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-11-11-111-11-1-1-1-11111-1-1-1-1-1-1-1111-11
χ11111111111111111111111-11-1111111111111111-1-1-1-111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-1111-111-1-1-111-1-11111-1-1111-1-11-1-1
χ12111111111111111111111-11-1111111111111111-1-1-1-111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-1-1-1-11-11111-1-1-1-1-1-11111-1-11-11-111
χ13111111111111111111111-1-1111111111111111111-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11-11-11-111111111-1-1-1-1-1-1-1-111
χ14111111111111111111111-1-1111111111111111111-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1111-11-1-111-1-1111111-1-111-1-1
χ15111111111111111111111-1-1111111111111111111-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1111-1-1-1-1-1-111-1-111-11-11
χ16111111111111111111111-1-1111111111111111111-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-111-1-1-1-1-111-1-1-1-111111-11-1
χ17222222-12-1-122-12222-1-1-1-12222-1-1-1-12-1-1-1-12-1-1-1-1-1-12222-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122200000200000-1-100-1-10000-1-10000
χ18222222-12-1-122-12222-1-1-1-12222-1-1-1-12-1-1-1-12-1-1-1-1-1-12222-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-200000-2000001100110000110000
χ19222222-12-1-122-12222-1-1-1-12-2-22-1-1-1-12-1-1-1-12-1-1-1-11122-2-2-11-2-2-22-2-21111111122-1-1-1-1-1-1-1-1-2-21111111122-200000-200000-1-100110000-110000
χ20222222-12-1-122-12222-1-1-1-12-2-22-1-1-1-12-1-1-1-12-1-1-1-11122-2-2-11-2-2-22-2-21111111122-1-1-1-1-1-1-1-1-2-211111111-2-22000002000001100-1-100001-10000
χ21222222-12-1-122-12222-1-1-1-1-22-22-1-1-1-12-1-1-1-12-1-1-1-111-2-2221-1-22-2-2-2-211111111-2-21111111122-1-1-1-1-1-1-1-12-2200000-200000-1-1001100001-10000
χ22222222-12-1-122-12222-1-1-1-1-22-22-1-1-1-12-1-1-1-12-1-1-1-111-2-2221-1-22-2-2-2-211111111-2-21111111122-1-1-1-1-1-1-1-1-22-2000002000001100-1-10000-110000
χ23222222-12-1-122-12222-1-1-1-1-2-222-1-1-1-12-1-1-1-12-1-1-1-1-1-1-2-2-2-2112-22-222-1-1-1-1-1-1-1-1-2-211111111-2-2111111112-2-200000200000-1-100-1-10000110000
χ24222222-12-1-122-12222-1-1-1-1-2-222-1-1-1-12-1-1-1-12-1-1-1-1-1-1-2-2-2-2112-22-222-1-1-1-1-1-1-1-1-2-211111111-2-211111111-22200000-2000001100110000-1-10000
χ2522222-12-1222-1222-1-12-1-1-1222-12-1-1-1-12-1-1-1-12-1-1-12222-1-122-122-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1000202200200-1-100000000-1-100-100-1
χ2622222-12-1222-1222-1-12-1-1-1222-12-1-1-1-12-1-1-1-12-1-1-12222-1-122-122-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1000-20-2-200-200110000000011001001
χ2722222-12-1222-1222-1-12-1-1-12-2-2-12-1-1-1-12-1-1-1-12-1-1-1-2-222112-21-2-2-111-2-2111111-1-122-1-1-1-1-1-111-2-211111100020-2-200200-1-1000000001100-1001
χ2822222-12-1222-1222-1-12-1-1-12-2-2-12-1-1-1-12-1-1-1-12-1-1-1-2-222112-21-2-2-111-2-2111111-1-122-1-1-1-1-1-111-2-2111111000-202200-2001100000000-1-100100-1
χ2922222-12-1222-1222-1-12-1-1-1-22-2-12-1-1-1-12-1-1-1-12-1-1-1-2-2-2-2-1-1-2212-2111-2-211111111-2-2111111-1-122-1-1-1-1-1-1000202-200-200-1-100000000-1-1001001
χ3022222-12-1222-1222-1-12-1-1-1-22-2-12-1-1-1-12-1-1-1-12-1-1-1-2-2-2-2-1-1-2212-2111-2-211111111-2-2111111-1-122-1-1-1-1-1-1000-20-220020011000000001100-100-1
χ3122222-12-1222-1222-1-12-1-1-1-2-22-12-1-1-1-12-1-1-1-12-1-1-122-2-211-2-2-1-221-1-122-1-1-1-1-1-111-2-211111111-2-211111100020-2200-200-1-1000000001100100-1
χ3222222-12-1222-1222-1-12-1-1-1-2-22-12-1-1-1-12-1-1-1-12-1-1-122-2-211-2-2-1-221-1-122-1-1-1-1-1-111-2-211111111-2-2111111000-202-2002001100000000-1-100-1001
χ332222-122222-122-1-12-1-12-1-1222-1-12-1-1-1-12-1-1-1-12-1-122-1-122222-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000200200220000-1-100-1-100000-1-10
χ342222-122222-122-1-12-1-12-1-1222-1-12-1-1-1-12-1-1-1-12-1-122-1-122222-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000-200-200-2-2000011001100000110
χ352222-122222-122-1-12-1-12-1-12-2-2-1-12-1-1-1-12-1-1-1-12-1-1-2-2-1-1-2-22-2-21121111-2-21111-1-1-1-122-1-1-1-11111-2-211110000200-200-220000-1-100-1-100000110
χ362222-122222-122-1-12-1-12-1-12-2-2-1-12-1-1-1-12-1-1-1-12-1-1-2-2-1-1-2-22-2-21121111-2-21111-1-1-1-122-1-1-1-11111-2-211110000-2002002-2000011001100000-1-10
χ372222-122222-122-1-12-1-12-1-1-22-2-1-12-1-1-1-12-1-1-1-12-1-1-2-21122-22-2-11-21111-2-211111111-2-21111-1-1-1-122-1-1-1-10000200200-2-20000-1-1001100000-110
χ382222-122222-122-1-12-1-12-1-1-22-2-1-12-1-1-1-12-1-1-1-12-1-1-2-21122-22-2-11-21111-2-211111111-2-21111-1-1-1-122-1-1-1-10000-200-2002200001100-1-1000001-10
χ392222-122222-122-1-12-1-12-1-1-2-22-1-12-1-1-1-12-1-1-1-12-1-12211-2-2-2-221-1-2-1-1-1-122-1-1-1-11111-2-211111111-2-211110000200-2002-20000-1-10011000001-10
χ402222-122222-122-1-12-1-12-1-1-2-22-1-12-1-1-1-12-1-1-1-12-1-12211-2-2-2-221-1-2-1-1-1-122-1-1-1-11111-2-211111111-2-211110000-200200-2200001100-1-100000-110
χ4144444-2-2-2-2-24-2-244-2-2-2111444-2-2111-2-2111-2-2111-2-244-2-2-2-2-244-2-2-2-2-2111111-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000
χ4244444-2-2-2-2-24-2-244-2-2-21114-4-4-2-2111-2-2111-2-2111224422-222-4-4-22222-1-1-1-1-1-1-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000
χ4344444-2-2-2-2-24-2-244-2-2-2111-44-4-2-2111-2-2111-2-211122-4-4-2-22-224-422222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000
χ4444444-2-2-2-2-24-2-244-2-2-2111-4-44-2-2111-2-2111-2-2111-2-2-4-42222-2-442-2-2-2-21111112222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000
χ454444-24-24-2-2-24-2-2-24-21-211444-21-211-21-211-21-211-2-2-2-244-2-24-2-24-2-211-2-21111-2-211-2-21111-2-211-2-21111000000000000000000000000000000
χ464444-24-24-2-2-24-2-2-24-21-2114-4-4-21-211-21-211-21-21122-2-2-4-4-22-422422-1-122-1-1-1-1-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000
χ474444-24-24-2-2-24-2-2-24-21-211-44-4-21-211-21-211-21-2112222442-2-4-22-422-1-122-1-1-1-122-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000
χ484444-24-24-2-2-24-2-2-24-21-211-4-44-21-211-21-211-21-211-2-222-4-42242-2-4-2-211-2-2111122-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000
χ494444-2-24-244-2-24-2-2-21-2-2114441-2-2111-2-2111-2-21144-2-2-2-244-2-2-2-211-2-2-2-2111111-2-2-2-2111111-2-2-2-21111000000000000000000000000000000
χ504444-2-24-244-2-24-2-2-21-2-2114-4-41-2-2111-2-2111-2-211-4-4-2-2224-4222-2-1-12222-1-1-1-111-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000
χ514444-2-24-244-2-24-2-2-21-2-211-44-41-2-2111-2-2111-2-211-4-422-2-2-442-222-1-12222-1-1-1-1-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000
χ524444-2-24-244-2-24-2-2-21-2-211-4-441-2-2111-2-2111-2-211442222-4-4-22-2211-2-2-2-21111-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000
χ534444-2-2-2-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32444111−1−3i32−1+3i32111−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-2-2-2-2-2-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32111111−1−3i32−1−3i32−1+3i32−1+3i32111111−1−3i32−1−3i32−1+3i32−1+3i32000000000000000000000000000000
χ544444-2-2-2-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i324-4-4111−1−3i32−1+3i32111−1−3i32−1+3i32111−1−3i32−1+3i3222-2-222-22222-2-1-1-1-1-1-11+3i321+3i321−3i321−3i32111111−1−3i32−1−3i32−1+3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32000000000000000000000000000000
χ554444-2-2-2-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-44-4111−1−3i32−1+3i32111−1−3i32−1+3i32111−1−3i32−1+3i322222-2-22-22-222-1-1-1-1-1-11+3i321+3i321−3i321−3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32111111−1−3i32−1−3i32−1+3i32−1+3i32000000000000000000000000000000
χ564444-2-2-2-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-4-44111−1−3i32−1+3i32111−1−3i32−1+3i32111−1−3i32−1+3i32-2-2222222-22-22111111−1−3i32−1−3i32−1+3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32000000000000000000000000000000
χ574444-2-2-2-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32444111−1+3i32−1−3i32111−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-2-2-2-2-2-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32111111−1+3i32−1+3i32−1−3i32−1−3i32111111−1+3i32−1+3i32−1−3i32−1−3i32000000000000000000000000000000
χ584444-2-2-2-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i324-4-4111−1+3i32−1−3i32111−1+3i32−1−3i32111−1+3i32−1−3i3222-2-222-22222-2-1-1-1-1-1-11−3i321−3i321+3i321+3i32111111−1+3i32−1+3i32−1−3i32−1−3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32000000000000000000000000000000
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χ604444-2-2-2-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-4-44111−1+3i32−1−3i32111−1+3i32−1−3i32111−1+3i32−1−3i32-2-2222222-22-22111111−1+3i32−1+3i32−1−3i32−1−3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32000000000000000000000000000000
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χ794-4-444-242-4-4-4-24-442-24-2-2-20002-4222-24-2-2-22-42220000−232300000000000000000000000000−232300−2323−2323−2323000000000000000000000000000000
χ804-4-444-2-2222-4-2-2-442-2-211100022-1-1-1-2-211122-1-1-1−2i32i30023−2300000000−2i32i3i3−i3i3−i3i3−i300003i−3i3i−3i3i−3i23−2300−33−33−33000000000000000000000000000000
χ814-4-444-2-2222-4-2-2-442-2-211100022-1-1-1-2-211122-1-1-1−2i32i300−232300000000−2i32i3i3−i3i3−i3i3−i30000−3i3i−3i3i−3i3i−2323003−33−33−3000000000000000000000000000000
χ824-4-444-2-2222-4-2-2-442-2-211100022-1-1-1-2-211122-1-1-12i3−2i30023−23000000002i3−2i3−i3i3−i3i3−i3i30000−3i3i−3i3i−3i3i23−2300−33−33−33000000000000000000000000000000
χ834-4-444-2-2222-4-2-2-442-2-211100022-1-1-1-2-211122-1-1-12i3−2i300−2323000000002i3−2i3−i3i3−i3i3−i3i300003i−3i3i−3i3i−3i−2323003−33−33−3000000000000000000000000000000
χ844-4-44-244-4-4-42442-2-4-2-24-2-200022-422-2-24-2-222-4220023−2300000000000000000023−2323−230023−23−23230000000000000000000000000000000000000000
χ854-4-44-244-4-4-42442-2-4-2-24-2-200022-422-2-24-2-222-42200−2323000000000000000000−2323−232300−232323−230000000000000000000000000000000000000000
χ864-4-44-24-2-42224-22-2-4-21-2110002-12-1-1-21-2112-12-1-1−2i32i323−230000000000i3−i3−2i32i3i3−i3i3−i323−23−3300−333−3003i−3i003i−3i−3i3i000000000000000000000000000000
χ874-4-44-24-2-42224-22-2-4-21-2110002-12-1-1-21-2112-12-1-1−2i32i3−23230000000000i3−i3−2i32i3i3−i3i3−i3−23233−3003−3−3300−3i3i00−3i3i3i−3i000000000000000000000000000000
χ884-4-44-24-2-42224-22-2-4-21-2110002-12-1-1-21-2112-12-1-12i3−2i323−230000000000−i3i32i3−2i3−i3i3−i3i323−23−3300−333−300−3i3i00−3i3i3i−3i000000000000000000000000000000
χ894-4-44-24-2-42224-22-2-4-21-2110002-12-1-1-21-2112-12-1-12i3−2i3−23230000000000−i3i32i3−2i3−i3i3−i3i3−23233−3003−3−33003i−3i003i−3i−3i3i000000000000000000000000000000
χ904-4-44-2-242-4-42-242-221-2-211000-122-1-11-2-211-122-1-10023−2323−230000003-300003-3-33−3323−2300−333−3−330023−23−33−33000000000000000000000000000000
χ914-4-44-2-242-4-42-242-221-2-211000-122-1-11-2-211-122-1-10023−23−2323000000-330000-333-3−3323−2300−333−33−300−23233−33−3000000000000000000000000000000
χ924-4-44-2-242-4-42-242-221-2-211000-122-1-11-2-211-122-1-100−232323−23000000-330000-333-33−3−2323003−3−33−330023−23−33−33000000000000000000000000000000
χ934-4-44-2-242-4-42-242-221-2-211000-122-1-11-2-211-122-1-100−2323−23230000003-300003-3-333−3−2323003−3−333−300−23233−33−3000000000000000000000000000000
χ944-4-44-2-2-22222-2-22-22111−1−3i32−1+3i32000-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32−2i32i323−2323−230000003-3i3−i3i3−i3−3−i323+i323−i32−3+i32−33−333i−3iζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ11−333i−3i−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11000000000000000000000000000000
χ954-4-44-2-2-22222-2-22-22111−1−3i32−1+3i32000-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32−2i32i3−2323−23230000003-3i3−i3i3−i3−3−i323+i323−i32−3+i323−33−3−3i3i−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ113−3−3i3i3−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11000000000000000000000000000000
χ964-4-44-2-2-22222-2-22-22111−1−3i32−1+3i32000-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i322i3−2i323−23−2323000000-33−i3i3−i3i33+i32−3−i32−3+i323−i32−33−333i−3iζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ113−3−3i3i3−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11000000000000000000000000000000
χ974-4-44-2-2-22222-2-22-22111−1−3i32−1+3i32000-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i322i3−2i3−232323−23000000-33−i3i3−i3i33+i32−3−i32−3+i323−i323−33−3−3i3i−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ11−333i−3i−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11000000000000000000000000000000
χ984-4-44-2-2-22222-2-22-22111−1+3i32−1−3i32000-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32−2i32i323−23−2323000000-33i3−i3i3−i33−i32−3+i32−3−i323+i32−33−33−3i3i−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ113−33i−3i3−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11000000000000000000000000000000
χ994-4-44-2-2-22222-2-22-22111−1+3i32−1−3i32000-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32−2i32i3−232323−23000000-33i3−i3i3−i33−i32−3+i32−3−i323+i323−33−33i−3i2ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ11−33−3i3i−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11000000000000000000000000000000
χ1004-4-44-2-2-22222-2-22-22111−1+3i32−1−3i32000-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i322i3−2i323−2323−230000003-3−i3i3−i3i3−3+i323−i323+i32−3−i32−33−33−3i3i−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ11−33−3i3i−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11000000000000000000000000000000
χ1014-4-44-2-2-22222-2-22-22111−1+3i32−1−3i32000-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i322i3−2i3−2323−23230000003-3−i3i3−i3i3−3+i323−i323+i32−3−i323−33−33i−3i2ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ113−33i−3i3−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11000000000000000000000000000000
χ10288-8-88-4-4-4-44844-8-84-4-4222000-4-422244-2-2-244-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-48-48-44-4-8444-8-42-422000-42-4224-24-2-24-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-48-48-8-44-84442-4-4220002-4-422-244-2-2-244-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-4-4-44-444444222−1−3i3−1+3i3000222−1−3i3−1+3i3-2-2-21+3i31−3i3-2-2-21+3i31−3i3000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-4-4-44-444444222−1+3i3−1−3i3000222−1+3i3−1−3i3-2-2-21−3i31+3i3-2-2-21−3i31+3i3000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-88-4-444-4-8448-8-4-4-422200044-2-2-244-2-2-2-4-4222000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-48-4-84-44-84-448-42-4220004-24-2-24-24-2-2-42-422000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-484-8844-8-44-42-4-422000-244-2-2-244-2-22-4-422000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-444-4444-44-4222−1−3i3−1+3i3000-2-2-21+3i31−3i3-2-2-21+3i31−3i3222−1−3i3−1+3i3000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-444-4444-44-4222−1+3i3−1−3i3000-2-2-21−3i31+3i3-2-2-21−3i31+3i3222−1+3i3−1−3i3000000000000000000000000000000000000000000000000000000000000000000000000

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