Finite Group Databasebeta

← Group #13178221

Character table — Group #13178221

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size111122222222222244444444444444444444444444444888888888888888888888888888888888888363636363636363636363636363636363636363636363636727272727272
order122233366666666623333344666666666666666661212121266666666666612121212121212121212121212121212121212121212121224444444444412121212121212121212121261212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-111-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-11-11-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-111-1-1-1-1-111-1-111-1-111-1-1-1-1-1-11-11-1
χ51111111111111111111111-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-1-11-11-11111-1-1-1-1-1-1-1-11-1-1111
χ61111111111111111111111-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-11-11-1-1-1-11111-1-1-1-1111-1-11
χ71111111111111111111111-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1111-1-1111-1-1-1-1111111-1-111-1-1
χ81111111111111111111111-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-1-11111-1-11111-11-1-11-1
χ91111111111111111-1111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-111111-1-11111-1-111-1-1-1-1
χ101111111111111111-1111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-11-1-1-11-11-1111-1-1-1-1-111-1-111-1-11-1111-1
χ111111111111111111-1111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-1-111-111-11-1-11-111-1-1-1-1-1-1-1-111-111-111
χ121111111111111111-1111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1111-11-1-1111111-1-111-1-1-11-11
χ131111111111111111-111111-11-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1111111111111-111-1-11-11-1-1111111-1-1-1-1111-11-1-1-1
χ141111111111111111-111111-11-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-111111111111-11-1-1-1-111-111-1-1-1-1-1-111-1-11111-111-1
χ151111111111111111-111111-11-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111-11-1-1-111-1-111111-1-1111111-1-1-1-1-1-111
χ161111111111111111-111111-11-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111-1-111111-11-1-1-1-1-111-1-1-1-111-1-1-1111-11
χ17222222-1-1-1222222-122-1-1-1-122-1-12-1-1-1-122-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-120000222000000000000-1-1-1-1-10000-1
χ18222222-1-1-1222222-122-1-1-1-122-1-12-1-1-1-122-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-20000-2-2-20000000000001111100001
χ19222222-1-1-1222222-122-1-1-1-1-2-2-1-12-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-111-2-2-2-211111111-2-211111111200002-2-20000000000001111-10000-1
χ20222222-1-1-1222222-122-1-1-1-1-2-2-1-12-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-111-2-2-2-211111111-2-211111111-20000-222000000000000-1-1-1-1100001
χ21222222-1-1-1222222-1-22-1-1-1-12-2112-1-1-1-122-1-1-1-1-1-1-1-122-2-2-2-2-2-211111111-112-222-1-1-1-1-1-1-1-1-2-21111111120000-22-2000000000000-1-111-100001
χ22222222-1-1-1222222-1-22-1-1-1-12-2112-1-1-1-122-1-1-1-1-1-1-1-122-2-2-2-2-2-211111111-112-222-1-1-1-1-1-1-1-1-2-211111111-200002-2200000000000011-1-110000-1
χ23222222-1-1-1222222-1-22-1-1-1-1-22112-1-1-1-122-1-1-1-1-1-1-1-1-2-222-2-2-2-2111111111-1-22-2-21111111122-1-1-1-1-1-1-1-120000-2-2200000000000011-1-1-100001
χ24222222-1-1-1222222-1-22-1-1-1-1-22112-1-1-1-122-1-1-1-1-1-1-1-1-2-222-2-2-2-2111111111-1-22-2-21111111122-1-1-1-1-1-1-1-1-2000022-2000000000000-1-11110000-1
χ2522222-122222-1-12-122-12-1-1-12222-12-1-1-1-1-122-1-1-1-1-1-122-1-12-1-1-122-1-1-1-1-1-122-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1022000002200-1-100-1-10000000-10-100
χ2622222-122222-1-12-122-12-1-1-12222-12-1-1-1-1-122-1-1-1-1-1-122-1-12-1-1-122-1-1-1-1-1-122-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10-2-200000-2-200110011000000010100
χ2722222-122222-1-12-122-12-1-1-1-2-222-12-1-1-1-1-122-1-1-1-1-1-1-2-2112-1-1-122-1-1-1-1-1-1-2-21-211-2-211111111-2-211111102-2000002-200-1-10011000000010-100
χ2822222-122222-1-12-122-12-1-1-1-2-222-12-1-1-1-1-122-1-1-1-1-1-1-2-2112-1-1-122-1-1-1-1-1-1-2-21-211-2-211111111-2-21111110-2200000-22001100-1-10000000-10100
χ2922222-122222-1-12-12-2-12-1-1-12-2-2-2-12-1-1-1-1-122-1-1-1-1-1-12211-2111-2-21111112-2-1-2-1-122-1-1-1-1-1-111-2-211111102200000-2-200-1-100110000000-10100
χ3022222-122222-1-12-12-2-12-1-1-12-2-2-2-12-1-1-1-1-122-1-1-1-1-1-12211-2111-2-21111112-2-1-2-1-122-1-1-1-1-1-111-2-21111110-2-20000022001100-1-1000000010-100
χ3122222-122222-1-12-12-2-12-1-1-1-22-2-2-12-1-1-1-1-122-1-1-1-1-1-1-2-2-1-1-2111-2-2111111-221211-2-2111111-1-122-1-1-1-1-1-102-200000-2200-1-100-1-1000000010100
χ3222222-122222-1-12-12-2-12-1-1-1-22-2-2-12-1-1-1-1-122-1-1-1-1-1-1-2-2-1-1-2111-2-2111111-221211-2-2111111-1-122-1-1-1-1-1-10-22000002-2001100110000000-10-100
χ332222-12222-1-122-1222-1-12-1-12222-1-12-1-1-1-1-1-122-1-1-1-1-1-122-12-1-1-1-122-1-1-1-1222-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-100022000002200-1-100-1-1000000-10-10
χ342222-12222-1-122-1222-1-12-1-12222-1-12-1-1-1-1-1-122-1-1-1-1-1-122-12-1-1-1-122-1-1-1-1222-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1000-2-200000-2-2001100110000001010
χ352222-12222-1-122-1222-1-12-1-1-2-222-1-12-1-1-1-1-1-122-1-1-1-111-2-2-12-1-1-1-122-1-1-1-1-2-2-211111-2-211111111-2-211110002-2000002-200-1-1001100000010-10
χ362222-12222-1-122-1222-1-12-1-1-2-222-1-12-1-1-1-1-1-122-1-1-1-111-2-2-12-1-1-1-122-1-1-1-1-2-2-211111-2-211111111-2-21111000-2200000-22001100-1-1000000-1010
χ372222-12222-1-122-122-2-1-12-1-12-2-2-2-1-12-1-1-1-1-1-122-1-1-1-1-1-1-2-21-21111-2-211112-221-1-1-1-122-1-1-1-11111-2-211110002-200000-2200-1-100-1-10000001010
χ382222-12222-1-122-122-2-1-12-1-12-2-2-2-1-12-1-1-1-1-1-122-1-1-1-1-1-1-2-21-21111-2-211112-221-1-1-1-122-1-1-1-11111-2-21111000-22000002-200110011000000-10-10
χ392222-12222-1-122-122-2-1-12-1-1-22-2-2-1-12-1-1-1-1-1-122-1-1-1-111221-21111-2-21111-22-2-11111-2-21111-1-1-1-122-1-1-1-10002200000-2-200-1-10011000000-1010
χ402222-12222-1-122-122-2-1-12-1-1-22-2-2-1-12-1-1-1-1-1-122-1-1-1-111221-21111-2-21111-22-2-11111-2-21111-1-1-1-122-1-1-1-1000-2-20000022001100-1-100000010-10
χ4144444-2-2-2-244-2-24-2-24-2-211144-2-2-2-2111-2-2-2-211111144-2-24-2-2-2-2-2111111-2-2-24-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000
χ4244444-2-2-2-244-2-24-2-24-2-2111-4-4-2-2-2-2111-2-2-2-2111111-4-4224-2-2-2-2-2111111222-42222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000
χ4344444-2-2-2-244-2-24-2-2-4-2-21114-422-2-2111-2-2-2-21111114422-422222-1-1-1-1-1-1-22-2-4-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000
χ4444444-2-2-2-244-2-24-2-2-4-2-2111-4422-2-2111-2-2-2-2111111-4-4-2-2-422222-1-1-1-1-1-12-2242222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000
χ454444-24-2-2-2-2-244-24-24-21-21144-2-2-21-211-2-211-2-21111-2-244-24-2-211-2-21111-2-24-2-2-211-2-21111-2-211-2-21111000000000000000000000000000000
χ464444-24-2-2-2-2-244-24-24-21-211-4-4-2-2-21-211-2-211-2-2111122-4-4-24-2-211-2-2111122-4222-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000
χ474444-24-2-2-2-2-244-24-2-4-21-2114-422-21-211-2-211-2-21111-2-2-4-42-422-1-122-1-1-1-1-2242-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000
χ484444-24-2-2-2-2-244-24-2-4-21-211-4422-21-211-2-211-2-2111122442-422-1-122-1-1-1-12-2-4-222-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000
χ494444-2-2444-2-2-2-2-2-2441-2-21144441-2-21111-2-2-2-21111-2-2-2-2-2-211-2-2-2-2111144-2-211-2-2-2-2111111-2-2-2-21111000000000000000000000000000000
χ504444-2-2444-2-2-2-2-2-2441-2-211-4-4441-2-21111-2-2-2-211112222-2-211-2-2-2-21111-4-422-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000
χ514444-2-2444-2-2-2-2-2-24-41-2-2114-4-4-41-2-21111-2-2-2-21111-2-22222-1-12222-1-1-1-14-4-2211-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000
χ524444-2-2444-2-2-2-2-2-24-41-2-211-44-4-41-2-21111-2-2-2-2111122-2-222-1-12222-1-1-1-1-442-2-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000
χ534444-2-2-2-2-2-2-2-2-2-2-2-24111−1−3i32−1+3i3244-2-2111−1−3i32−1+3i32111111−1−3i32−1−3i32−1+3i32−1+3i32-2-2-2-2-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32-2-2-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32111111−1−3i32−1−3i32−1+3i32−1+3i32000000000000000000000000000000
χ544444-2-2-2-2-2-2-2-2-2-2-2-24111−1−3i32−1+3i32-4-4-2-2111−1−3i32−1+3i32111111−1−3i32−1−3i32−1+3i32−1+3i322222-2-2111111−1−3i32−1−3i32−1+3i32−1+3i322222-1-1-1-1-1-11+3i321+3i321−3i321−3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32000000000000000000000000000000
χ554444-2-2-2-2-2-2-2-2-2-2-2-24111−1+3i32−1−3i3244-2-2111−1+3i32−1−3i32111111−1+3i32−1+3i32−1−3i32−1−3i32-2-2-2-2-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32-2-2-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32111111−1+3i32−1+3i32−1−3i32−1−3i32000000000000000000000000000000
χ564444-2-2-2-2-2-2-2-2-2-2-2-24111−1+3i32−1−3i32-4-4-2-2111−1+3i32−1−3i32111111−1+3i32−1+3i32−1−3i32−1−3i322222-2-2111111−1+3i32−1+3i32−1−3i32−1−3i322222-1-1-1-1-1-11−3i321−3i321+3i321+3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32000000000000000000000000000000
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χ804-4-444-2-222-4-4224-2-20-2-211100−2i32i3-2-21112222-1-1-1-1-1-10023−230000−2i32i3i3−i3i3−i3i3−i3000000003i−3i3i−3i3i−3i23−2300−33−33−33000000000000000000000000000000
χ814-4-444-2-222-4-4224-2-20-2-211100−2i32i3-2-21112222-1-1-1-1-1-100−23230000−2i32i3i3−i3i3−i3i3−i300000000−3i3i−3i3i−3i3i−2323003−33−33−3000000000000000000000000000000
χ824-4-444-2-222-4-4224-2-20-2-2111002i3−2i3-2-21112222-1-1-1-1-1-10023−2300002i3−2i3−i3i3−i3i3−i3i300000000−3i3i−3i3i−3i3i23−2300−33−33−33000000000000000000000000000000
χ834-4-444-2-222-4-4224-2-20-2-2111002i3−2i3-2-21112222-1-1-1-1-1-100−232300002i3−2i3−i3i3−i3i3−i3i3000000003i−3i3i−3i3i−3i−2323003−33−33−3000000000000000000000000000000
χ844-4-44-244-4-422-4-4-2440-2-24-2-20000-2-24-2-22222-4-4222223−2300000000000000000023−2323−230023−23−23230000000000000000000000000000000000000000
χ854-4-44-244-4-422-4-4-2440-2-24-2-20000-2-24-2-22222-4-42222−2323000000000000000000−2323−232300−232323−230000000000000000000000000000000000000000
χ864-4-44-24-22222-4-4-24-20-21-21100−2i32i3-21-21122-1-122-1-1-1-123−23000000i3−i3−2i32i3i3−i3i3−i3000023−23−3300−333−3003i−3i003i−3i−3i3i000000000000000000000000000000
χ874-4-44-24-22222-4-4-24-20-21-21100−2i32i3-21-21122-1-122-1-1-1-1−2323000000i3−i3−2i32i3i3−i3i3−i30000−23233−3003−3−3300−3i3i00−3i3i3i−3i000000000000000000000000000000
χ884-4-44-24-22222-4-4-24-20-21-211002i3−2i3-21-21122-1-122-1-1-1-123−23000000−i3i32i3−2i3−i3i3−i3i3000023−23−3300−333−300−3i3i00−3i3i3i−3i000000000000000000000000000000
χ894-4-44-24-22222-4-4-24-20-21-211002i3−2i3-21-21122-1-122-1-1-1-1−2323000000−i3i32i3−2i3−i3i3−i3i30000−23233−3003−3−33003i−3i003i−3i−3i3i000000000000000000000000000000
χ904-4-44-2-24-4-42222-2-2401-2-21100001-2-211-1-12222-1-1-1-123−2323−23003-300003-3-330000−3323−2300−333−3−330023−23−33−33000000000000000000000000000000
χ914-4-44-2-24-4-42222-2-2401-2-21100001-2-211-1-12222-1-1-1-123−23−232300-330000-333-30000−3323−2300−333−33−300−23233−33−3000000000000000000000000000000
χ924-4-44-2-24-4-42222-2-2401-2-21100001-2-211-1-12222-1-1-1-1−232323−2300-330000-333-300003−3−2323003−3−33−330023−23−33−33000000000000000000000000000000
χ934-4-44-2-24-4-42222-2-2401-2-21100001-2-211-1-12222-1-1-1-1−2323−2323003-300003-3-3300003−3−2323003−3−333−300−23233−33−3000000000000000000000000000000
χ944-4-44-2-2-2222222-2-2-20111−1−3i32−1+3i3200−2i32i3111−1−3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i3223−2323−23003-3i3−i3i3−i3−3−i323+i323−i32−3+i320000−33−333i−3iζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ11−333i−3i−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11000000000000000000000000000000
χ954-4-44-2-2-2222222-2-2-20111−1−3i32−1+3i3200−2i32i3111−1−3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32−2323−2323003-3i3−i3i3−i3−3−i323+i323−i32−3+i3200003−33−3−3i3i−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ113−3−3i3i3−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11000000000000000000000000000000
χ964-4-44-2-2-2222222-2-2-20111−1−3i32−1+3i32002i3−2i3111−1−3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i3223−23−232300-33−i3i3−i3i33+i32−3−i32−3+i323−i320000−33−333i−3iζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ113−3−3i3i3−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11000000000000000000000000000000
χ974-4-44-2-2-2222222-2-2-20111−1−3i32−1+3i32002i3−2i3111−1−3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32−232323−2300-33−i3i3−i3i33+i32−3−i32−3+i323−i3200003−33−3−3i3i−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ11−333i−3i−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11000000000000000000000000000000
χ984-4-44-2-2-2222222-2-2-20111−1+3i32−1−3i3200−2i32i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i3223−23−232300-33i3−i3i3−i33−i32−3+i32−3−i323+i320000−33−33−3i3i−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ113−33i−3i3−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11000000000000000000000000000000
χ994-4-44-2-2-2222222-2-2-20111−1+3i32−1−3i3200−2i32i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32−232323−2300-33i3−i3i3−i33−i32−3+i32−3−i323+i3200003−33−33i−3i2ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ11−33−3i3i−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11000000000000000000000000000000
χ1004-4-44-2-2-2222222-2-2-20111−1+3i32−1−3i32002i3−2i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i3223−2323−23003-3−i3i3−i3i3−3+i323−i323+i32−3−i320000−33−33−3i3i−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ11−33−3i3i−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11000000000000000000000000000000
χ1014-4-44-2-2-2222222-2-2-20111−1+3i32−1−3i32002i3−2i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32−2323−2323003-3−i3i3−i3i3−3+i323−i323+i32−3−i3200003−33−33i−3i2ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ113−33i−3i3−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11000000000000000000000000000000
χ10288-8-88-4-4-448-8-44-8440-4-4222000044-2-2-2-44-442-22-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-48-4-44-448-84-840-42-42200004-24-2-2-442-2-442-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-488-8-44-4444-802-4-4220000-244-2-22-2-44-442-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-4-44-44-444440222−1−3i3−1+3i30000-2-2-21+3i31−3i32-22-22-2−1−3i31+3i3−1+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-4-44-44-444440222−1+3i3−1−3i30000-2-2-21−3i31+3i32-22-22-2−1+3i31−3i3−1−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-88-4-44-4-884-4-8440-4-4222000044-2-2-24-44-4-22-22-220000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-48-44-44-4-884-840-42-42200004-24-2-24-4-224-4-22-220000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-48-884-44-444-802-4-4220000-244-2-2-224-44-4-22-220000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-44-44-44-44440222−1−3i3−1+3i30000-2-2-21+3i31−3i3-22-22-221+3i3−1−3i31−3i3−1+3i30000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-44-44-44-44440222−1+3i3−1−3i30000-2-2-21−3i31+3i3-22-22-221−3i3−1+3i31+3i3−1−3i30000000000000000000000000000000000000000000000000000000000000000000000

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