Finite Group Databasebeta

← Group #11786032

Character table — Group #11786032

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222222224444444444444444444444444444444444444444444444444444444444444444999918181818181818181818181818187272727272727272
order12224444448888888833666666121212121212121212121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242422224444448888888844444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ51111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ61111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ71111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iii
χ81111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i
χ91111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11-11-11-11-1
χ101111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-11-11-11
χ111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111i−ii−i−ii−ii
χ121111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−ii−iii−ii−i
χ131111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111-1-111-1-11
χ141111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-111-1-111-1
χ151111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111111111-1-1-1-1i−i−ii−iii−i
χ161111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111111111-1-1-1-1−iii−ii−i−ii
χ17222222-2-2-2-2000000002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002222-2-222-2-20000000000000000
χ18222222-2-2-2-2000000002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-222-2-2220000000000000000
χ192222-2-222-2-20000000022222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2000000000000000000000000000000002222-2-2-2-2220000000000000000
χ202222-2-222-2-20000000022222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-22222-2-20000000000000000
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χ2722-2-20000-22−2i−2i2i2i00002222-2-2-2-20000000000000000-2-2-2-22222−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i00000000000000002-22-2-220000−2i−2i2i2i000000000000
χ2822-2-20000-22−2i−2i2i2i00002222-2-2-2-20000000000000000-2-2-2-22222−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i0000000000000000-22-222-200002i2i−2i−2i000000000000
χ292-22-2002-200i2−i2i2−i2i2−i2i2−i222-2-222-2-2000000002222-2-2-2-200000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i22-2-2200002-2i2−i2i2−i2i2−i2i2−i200000000
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χ362-22-200-2200−i2i2−i2i2i2−i2i2−i222-2-222-2-200000000-2-2-2-2222200000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2-222-200002-2i2−i2i2−i2−i2i2−i2i200000000
χ372-2-222-200002−2−222−2−2222-2-2-2-2222222-2-2-2-200000000000000002222−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−2222222-2-2002-2002−2−222−2−2200000000
χ382-2-222-200002−2−222−2−2222-2-2-2-2222222-2-2-2-200000000000000002222−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−22222-2-22200-2200−222−2−222−200000000
χ392-2-222-20000−222−2−222−222-2-2-2-2222222-2-2-2-20000000000000000−2−2−2−222222222−2−2−2−2−2−2−2−222222222−2−2−2−222-2-2002-200−222−2−222−200000000
χ402-2-222-20000−222−2−222−222-2-2-2-2222222-2-2-2-20000000000000000−2−2−2−222222222−2−2−2−2−2−2−2−222222222−2−2−2−2-2-22200-22002−2−222−2−2200000000
χ412-2-22-2200002−2−22−222−222-2-2-2-222-2-2-2-2222200000000000000002222−2−2−2−2−2−2−2−22222−2−2−2−222222222−2−2−2−222-2-200-22002−2−22−222−200000000
χ422-2-22-2200002−2−22−222−222-2-2-2-222-2-2-2-2222200000000000000002222−2−2−2−2−2−2−2−22222−2−2−2−222222222−2−2−2−2-2-222002-200−222−22−2−2200000000
χ432-2-22-220000−222−22−2−2222-2-2-2-222-2-2-2-222220000000000000000−2−2−2−222222222−2−2−2−22222−2−2−2−2−2−2−2−2222222-2-200-2200−222−22−2−2200000000
χ442-2-22-220000−222−22−2−2222-2-2-2-222-2-2-2-222220000000000000000−2−2−2−222222222−2−2−2−22222−2−2−2−2−2−2−2−22222-2-222002-2002−2−22−222−200000000
χ454444444444444444441-21-21-21-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-200000000000000000000000000
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χ474444444444-4-4-4-4-4-4-4-41-21-21-21-211-2-211-2-211-2-211-2-211-2-211-2-2-1-122-1-122-1-122-1-122-1-122-1-122-1-122-1-12200000000000000000000000000
χ484444444444-4-4-4-4-4-4-4-4-21-21-21-21-2-211-2-211-2-211-2-211-2-211-2-21122-1-122-1-122-1-122-1-122-1-122-1-122-1-122-1-100000000000000000000000000
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χ50444444-4-4-4-4000000001-21-21-21-211-2-211-2-2-1-122-1-122-1-122-1-122−3i3i00−3i3i00−3i3i00−3i3i00−3i3i00−3i3i00−3i3i00−3i3i0000000000000000000000000000
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χ7544-4-40000-44−4i−4i4i4i0000-21-212-12-1003i−3i003i−3i00−3i3i00−3i3i22-1-1-2-2112i2i−i−i2i2i−i−i−2i−2iii−2i−2iii003-3003-300-3300-3300000000000000000000000000
χ7644-4-40000-44−4i−4i4i4i0000-21-212-12-100−3i3i00−3i3i003i−3i003i−3i22-1-1-2-2112i2i−i−i2i2i−i−i−2i−2iii−2i−2iii00-3300-33003-3003-300000000000000000000000000
χ774-44-4004-4002i2−2i22i2−2i22i2−2i22i2−2i21-2-121-2-123i−3i00−3i3i0011-2-2-1-1223i−3i003i−3i002ζ−ζ3−ζ+2ζ3−i2−i2−2ζ+ζ3ζ−2ζ3i2i22ζ−ζ3−ζ+2ζ3−i2−i2−2ζ+ζ3ζ−2ζ3i2i2−ζ+2ζ32ζ−ζ3−i2−i2ζ−2ζ3−2ζ+ζ3i2i2−ζ+2ζ32ζ−ζ3−i2−i2ζ−2ζ3−2ζ+ζ3i2i200000000000000000000000000
χ784-44-4004-4002i2−2i22i2−2i22i2−2i22i2−2i21-2-121-2-12−3i3i003i−3i0011-2-2-1-122−3i3i00−3i3i00−ζ+2ζ32ζ−ζ3−i2−i2ζ−2ζ3−2ζ+ζ3i2i2−ζ+2ζ32ζ−ζ3−i2−i2ζ−2ζ3−2ζ+ζ3i2i22ζ−ζ3−ζ+2ζ3−i2−i2−2ζ+ζ3ζ−2ζ3i2i22ζ−ζ3−ζ+2ζ3−i2−i2−2ζ+ζ3ζ−2ζ3i2i200000000000000000000000000
χ794-44-4004-4002i2−2i22i2−2i22i2−2i22i2−2i2-212-1-212-1003i−3i00−3i3i-2-21122-1-1003i−3i003i−3i−i2−i22ζ−ζ3−ζ+2ζ3i2i2−2ζ+ζ3ζ−2ζ3−i2−i22ζ−ζ3−ζ+2ζ3i2i2−2ζ+ζ3ζ−2ζ3−i2−i2−ζ+2ζ32ζ−ζ3i2i2ζ−2ζ3−2ζ+ζ3−i2−i2−ζ+2ζ32ζ−ζ3i2i2ζ−2ζ3−2ζ+ζ300000000000000000000000000
χ804-44-4004-4002i2−2i22i2−2i22i2−2i22i2−2i2-212-1-212-100−3i3i003i−3i-2-21122-1-100−3i3i00−3i3i−i2−i2−ζ+2ζ32ζ−ζ3i2i2ζ−2ζ3−2ζ+ζ3−i2−i2−ζ+2ζ32ζ−ζ3i2i2ζ−2ζ3−2ζ+ζ3−i2−i22ζ−ζ3−ζ+2ζ3i2i2−2ζ+ζ3ζ−2ζ3−i2−i22ζ−ζ3−ζ+2ζ3i2i2−2ζ+ζ3ζ−2ζ300000000000000000000000000
χ814-44-4004-400−2i22i2−2i22i2−2i22i2−2i22i21-2-121-2-123i−3i00−3i3i0011-2-2-1-1223i−3i003i−3i00−2ζ+ζ3ζ−2ζ3i2i22ζ−ζ3−ζ+2ζ3−i2−i2−2ζ+ζ3ζ−2ζ3i2i22ζ−ζ3−ζ+2ζ3−i2−i2ζ−2ζ3−2ζ+ζ3i2i2−ζ+2ζ32ζ−ζ3−i2−i2ζ−2ζ3−2ζ+ζ3i2i2−ζ+2ζ32ζ−ζ3−i2−i200000000000000000000000000
χ824-44-4004-400−2i22i2−2i22i2−2i22i2−2i22i21-2-121-2-12−3i3i003i−3i0011-2-2-1-122−3i3i00−3i3i00ζ−2ζ3−2ζ+ζ3i2i2−ζ+2ζ32ζ−ζ3−i2−i2ζ−2ζ3−2ζ+ζ3i2i2−ζ+2ζ32ζ−ζ3−i2−i2−2ζ+ζ3ζ−2ζ3i2i22ζ−ζ3−ζ+2ζ3−i2−i2−2ζ+ζ3ζ−2ζ3i2i22ζ−ζ3−ζ+2ζ3−i2−i200000000000000000000000000
χ834-44-4004-400−2i22i2−2i22i2−2i22i2−2i22i2-212-1-212-1003i−3i00−3i3i-2-21122-1-1003i−3i003i−3ii2i2−2ζ+ζ3ζ−2ζ3−i2−i22ζ−ζ3−ζ+2ζ3i2i2−2ζ+ζ3ζ−2ζ3−i2−i22ζ−ζ3−ζ+2ζ3i2i2ζ−2ζ3−2ζ+ζ3−i2−i2−ζ+2ζ32ζ−ζ3i2i2ζ−2ζ3−2ζ+ζ3−i2−i2−ζ+2ζ32ζ−ζ300000000000000000000000000
χ844-44-4004-400−2i22i2−2i22i2−2i22i2−2i22i2-212-1-212-100−3i3i003i−3i-2-21122-1-100−3i3i00−3i3ii2i2ζ−2ζ3−2ζ+ζ3−i2−i2−ζ+2ζ32ζ−ζ3i2i2ζ−2ζ3−2ζ+ζ3−i2−i2−ζ+2ζ32ζ−ζ3i2i2−2ζ+ζ3ζ−2ζ3−i2−i22ζ−ζ3−ζ+2ζ3i2i2−2ζ+ζ3ζ−2ζ3−i2−i22ζ−ζ3−ζ+2ζ300000000000000000000000000
χ854-44-400-44002i2−2i22i2−2i2−2i22i2−2i22i21-2-121-2-123i−3i00−3i3i00-1-12211-2-2−3i3i00−3i3i00−ζ+2ζ32ζ−ζ3−i2−i2ζ−2ζ3−2ζ+ζ3i2i2−ζ+2ζ32ζ−ζ3−i2−i2ζ−2ζ3−2ζ+ζ3i2i2−2ζ+ζ3ζ−2ζ3i2i22ζ−ζ3−ζ+2ζ3−i2−i2−2ζ+ζ3ζ−2ζ3i2i22ζ−ζ3−ζ+2ζ3−i2−i200000000000000000000000000
χ864-44-400-44002i2−2i22i2−2i2−2i22i2−2i22i21-2-121-2-12−3i3i003i−3i00-1-12211-2-23i−3i003i−3i002ζ−ζ3−ζ+2ζ3−i2−i2−2ζ+ζ3ζ−2ζ3i2i22ζ−ζ3−ζ+2ζ3−i2−i2−2ζ+ζ3ζ−2ζ3i2i2ζ−2ζ3−2ζ+ζ3i2i2−ζ+2ζ32ζ−ζ3−i2−i2ζ−2ζ3−2ζ+ζ3i2i2−ζ+2ζ32ζ−ζ3−i2−i200000000000000000000000000
χ874-44-400-44002i2−2i22i2−2i2−2i22i2−2i22i2-212-1-212-1003i−3i00−3i3i22-1-1-2-21100−3i3i00−3i3i−i2−i2−ζ+2ζ32ζ−ζ3i2i2ζ−2ζ3−2ζ+ζ3−i2−i2−ζ+2ζ32ζ−ζ3i2i2ζ−2ζ3−2ζ+ζ3i2i2−2ζ+ζ3ζ−2ζ3−i2−i22ζ−ζ3−ζ+2ζ3i2i2−2ζ+ζ3ζ−2ζ3−i2−i22ζ−ζ3−ζ+2ζ300000000000000000000000000
χ884-44-400-44002i2−2i22i2−2i2−2i22i2−2i22i2-212-1-212-100−3i3i003i−3i22-1-1-2-211003i−3i003i−3i−i2−i22ζ−ζ3−ζ+2ζ3i2i2−2ζ+ζ3ζ−2ζ3−i2−i22ζ−ζ3−ζ+2ζ3i2i2−2ζ+ζ3ζ−2ζ3i2i2ζ−2ζ3−2ζ+ζ3−i2−i2−ζ+2ζ32ζ−ζ3i2i2ζ−2ζ3−2ζ+ζ3−i2−i2−ζ+2ζ32ζ−ζ300000000000000000000000000
χ894-44-400-4400−2i22i2−2i22i22i2−2i22i2−2i21-2-121-2-123i−3i00−3i3i00-1-12211-2-2−3i3i00−3i3i00ζ−2ζ3−2ζ+ζ3i2i2−ζ+2ζ32ζ−ζ3−i2−i2ζ−2ζ3−2ζ+ζ3i2i2−ζ+2ζ32ζ−ζ3−i2−i22ζ−ζ3−ζ+2ζ3−i2−i2−2ζ+ζ3ζ−2ζ3i2i22ζ−ζ3−ζ+2ζ3−i2−i2−2ζ+ζ3ζ−2ζ3i2i200000000000000000000000000
χ904-44-400-4400−2i22i2−2i22i22i2−2i22i2−2i21-2-121-2-12−3i3i003i−3i00-1-12211-2-23i−3i003i−3i00−2ζ+ζ3ζ−2ζ3i2i22ζ−ζ3−ζ+2ζ3−i2−i2−2ζ+ζ3ζ−2ζ3i2i22ζ−ζ3−ζ+2ζ3−i2−i2−ζ+2ζ32ζ−ζ3−i2−i2ζ−2ζ3−2ζ+ζ3i2i2−ζ+2ζ32ζ−ζ3−i2−i2ζ−2ζ3−2ζ+ζ3i2i200000000000000000000000000
χ914-44-400-4400−2i22i2−2i22i22i2−2i22i2−2i2-212-1-212-1003i−3i00−3i3i22-1-1-2-21100−3i3i00−3i3ii2i2ζ−2ζ3−2ζ+ζ3−i2−i2−ζ+2ζ32ζ−ζ3i2i2ζ−2ζ3−2ζ+ζ3−i2−i2−ζ+2ζ32ζ−ζ3−i2−i22ζ−ζ3−ζ+2ζ3i2i2−2ζ+ζ3ζ−2ζ3−i2−i22ζ−ζ3−ζ+2ζ3i2i2−2ζ+ζ3ζ−2ζ300000000000000000000000000
χ924-44-400-4400−2i22i2−2i22i22i2−2i22i2−2i2-212-1-212-100−3i3i003i−3i22-1-1-2-211003i−3i003i−3ii2i2−2ζ+ζ3ζ−2ζ3−i2−i22ζ−ζ3−ζ+2ζ3i2i2−2ζ+ζ3ζ−2ζ3−i2−i22ζ−ζ3−ζ+2ζ3−i2−i2−ζ+2ζ32ζ−ζ3i2i2ζ−2ζ3−2ζ+ζ3−i2−i2−ζ+2ζ32ζ−ζ3i2i2ζ−2ζ3−2ζ+ζ300000000000000000000000000
χ934-4-444-4000022−22−222222−22−22221-2-12-121-211-2-2-1-1223i−3i00−3i3i00−3i3i003i−3i00−ζ−2ζ32ζ+ζ3−2−2ζ+2ζ3−2ζ−ζ322ζ+2ζ3−2ζ−ζ322−ζ−2ζ32ζ+ζ3−2−2−ζ−2ζ32ζ+ζ3−2−2ζ+2ζ3−2ζ−ζ322ζ+2ζ3−2ζ−ζ322−ζ−2ζ32ζ+ζ3−2−200000000000000000000000000
χ944-4-444-4000022−22−222222−22−22221-2-12-121-211-2-2-1-122−3i3i003i−3i003i−3i00−3i3i002ζ+ζ3−ζ−2ζ3−2−2−2ζ−ζ3ζ+2ζ322−2ζ−ζ3ζ+2ζ3222ζ+ζ3−ζ−2ζ3−2−22ζ+ζ3−ζ−2ζ3−2−2−2ζ−ζ3ζ+2ζ322−2ζ−ζ3ζ+2ζ3222ζ+ζ3−ζ−2ζ3−2−200000000000000000000000000
χ954-4-444-4000022−22−222222−22−2222-212-12-1-21-2-21122-1-1003i−3i00−3i3i00−3i3i003i−3i−2−2−ζ−2ζ32ζ+ζ322ζ+2ζ3−2ζ−ζ322ζ+2ζ3−2ζ−ζ3−2−2−ζ−2ζ32ζ+ζ3−2−2−ζ−2ζ32ζ+ζ322ζ+2ζ3−2ζ−ζ322ζ+2ζ3−2ζ−ζ3−2−2−ζ−2ζ32ζ+ζ300000000000000000000000000
χ964-4-444-4000022−22−222222−22−2222-212-12-1-21-2-21122-1-100−3i3i003i−3i003i−3i00−3i3i−2−22ζ+ζ3−ζ−2ζ322−2ζ−ζ3ζ+2ζ322−2ζ−ζ3ζ+2ζ3−2−22ζ+ζ3−ζ−2ζ3−2−22ζ+ζ3−ζ−2ζ322−2ζ−ζ3ζ+2ζ322−2ζ−ζ3ζ+2ζ3−2−22ζ+ζ3−ζ−2ζ300000000000000000000000000
χ974-4-444-40000−222222−22−222222−221-2-12-121-211-2-2-1-1223i−3i00−3i3i00−3i3i003i−3i00ζ+2ζ3−2ζ−ζ322−ζ−2ζ32ζ+ζ3−2−2−ζ−2ζ32ζ+ζ3−2−2ζ+2ζ3−2ζ−ζ322ζ+2ζ3−2ζ−ζ322−ζ−2ζ32ζ+ζ3−2−2−ζ−2ζ32ζ+ζ3−2−2ζ+2ζ3−2ζ−ζ32200000000000000000000000000
χ984-4-444-40000−222222−22−222222−221-2-12-121-211-2-2-1-122−3i3i003i−3i003i−3i00−3i3i00−2ζ−ζ3ζ+2ζ3222ζ+ζ3−ζ−2ζ3−2−22ζ+ζ3−ζ−2ζ3−2−2−2ζ−ζ3ζ+2ζ322−2ζ−ζ3ζ+2ζ3222ζ+ζ3−ζ−2ζ3−2−22ζ+ζ3−ζ−2ζ3−2−2−2ζ−ζ3ζ+2ζ32200000000000000000000000000
χ994-4-444-40000−222222−22−222222−22-212-12-1-21-2-21122-1-1003i−3i00−3i3i00−3i3i003i−3i22ζ+2ζ3−2ζ−ζ3−2−2−ζ−2ζ32ζ+ζ3−2−2−ζ−2ζ32ζ+ζ322ζ+2ζ3−2ζ−ζ322ζ+2ζ3−2ζ−ζ3−2−2−ζ−2ζ32ζ+ζ3−2−2−ζ−2ζ32ζ+ζ322ζ+2ζ3−2ζ−ζ300000000000000000000000000
χ1004-4-444-40000−222222−22−222222−22-212-12-1-21-2-21122-1-100−3i3i003i−3i003i−3i00−3i3i22−2ζ−ζ3ζ+2ζ3−2−22ζ+ζ3−ζ−2ζ3−2−22ζ+ζ3−ζ−2ζ322−2ζ−ζ3ζ+2ζ322−2ζ−ζ3ζ+2ζ3−2−22ζ+ζ3−ζ−2ζ3−2−22ζ+ζ3−ζ−2ζ322−2ζ−ζ3ζ+2ζ300000000000000000000000000
χ1014-4-44-44000022−22−2222−222222−221-2-12-121-2-1-12211-2-23i−3i00−3i3i003i−3i00−3i3i002ζ+ζ3−ζ−2ζ3−2−2−2ζ−ζ3ζ+2ζ322−2ζ−ζ3ζ+2ζ3222ζ+ζ3−ζ−2ζ3−2−2−2ζ−ζ3ζ+2ζ3222ζ+ζ3−ζ−2ζ3−2−22ζ+ζ3−ζ−2ζ3−2−2−2ζ−ζ3ζ+2ζ32200000000000000000000000000
χ1024-4-44-44000022−22−2222−222222−221-2-12-121-2-1-12211-2-2−3i3i003i−3i00−3i3i003i−3i00−ζ−2ζ32ζ+ζ3−2−2ζ+2ζ3−2ζ−ζ322ζ+2ζ3−2ζ−ζ322−ζ−2ζ32ζ+ζ3−2−2ζ+2ζ3−2ζ−ζ322−ζ−2ζ32ζ+ζ3−2−2−ζ−2ζ32ζ+ζ3−2−2ζ+2ζ3−2ζ−ζ32200000000000000000000000000
χ1034-4-44-44000022−22−2222−222222−22-212-12-1-2122-1-1-2-211003i−3i00−3i3i003i−3i00−3i3i−2−22ζ+ζ3−ζ−2ζ322−2ζ−ζ3ζ+2ζ322−2ζ−ζ3ζ+2ζ3−2−22ζ+ζ3−ζ−2ζ322−2ζ−ζ3ζ+2ζ3−2−22ζ+ζ3−ζ−2ζ3−2−22ζ+ζ3−ζ−2ζ322−2ζ−ζ3ζ+2ζ300000000000000000000000000
χ1044-4-44-44000022−22−2222−222222−22-212-12-1-2122-1-1-2-21100−3i3i003i−3i00−3i3i003i−3i−2−2−ζ−2ζ32ζ+ζ322ζ+2ζ3−2ζ−ζ322ζ+2ζ3−2ζ−ζ3−2−2−ζ−2ζ32ζ+ζ322ζ+2ζ3−2ζ−ζ3−2−2−ζ−2ζ32ζ+ζ3−2−2−ζ−2ζ32ζ+ζ322ζ+2ζ3−2ζ−ζ300000000000000000000000000
χ1054-4-44-440000−222222−2222−22−22221-2-12-121-2-1-12211-2-23i−3i00−3i3i003i−3i00−3i3i00−2ζ−ζ3ζ+2ζ3222ζ+ζ3−ζ−2ζ3−2−22ζ+ζ3−ζ−2ζ3−2−2−2ζ−ζ3ζ+2ζ3222ζ+ζ3−ζ−2ζ3−2−2−2ζ−ζ3ζ+2ζ322−2ζ−ζ3ζ+2ζ3222ζ+ζ3−ζ−2ζ3−2−200000000000000000000000000
χ1064-4-44-440000−222222−2222−22−22221-2-12-121-2-1-12211-2-2−3i3i003i−3i00−3i3i003i−3i00ζ+2ζ3−2ζ−ζ322−ζ−2ζ32ζ+ζ3−2−2−ζ−2ζ32ζ+ζ3−2−2ζ+2ζ3−2ζ−ζ322−ζ−2ζ32ζ+ζ3−2−2ζ+2ζ3−2ζ−ζ322ζ+2ζ3−2ζ−ζ322−ζ−2ζ32ζ+ζ3−2−200000000000000000000000000
χ1074-4-44-440000−222222−2222−22−2222-212-12-1-2122-1-1-2-211003i−3i00−3i3i003i−3i00−3i3i22−2ζ−ζ3ζ+2ζ3−2−22ζ+ζ3−ζ−2ζ3−2−22ζ+ζ3−ζ−2ζ322−2ζ−ζ3ζ+2ζ3−2−22ζ+ζ3−ζ−2ζ322−2ζ−ζ3ζ+2ζ322−2ζ−ζ3ζ+2ζ3−2−22ζ+ζ3−ζ−2ζ300000000000000000000000000
χ1084-4-44-440000−222222−2222−22−2222-212-12-1-2122-1-1-2-21100−3i3i003i−3i00−3i3i003i−3i22ζ+2ζ3−2ζ−ζ3−2−2−ζ−2ζ32ζ+ζ3−2−2−ζ−2ζ32ζ+ζ322ζ+2ζ3−2ζ−ζ3−2−2−ζ−2ζ32ζ+ζ322ζ+2ζ3−2ζ−ζ322ζ+2ζ3−2ζ−ζ3−2−2−ζ−2ζ32ζ+ζ300000000000000000000000000

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