Finite Group Databasebeta

← Group #209283

Character table — Group #209283

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111111111111122222222222222224444444444444444444444444444444444448888888888888888888888888888888816161616
order12222222444444444444444488888888222244444444888888888888888888888888244444444488888888888888888888884488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111111111111111-11111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-11111-1-1-1-1111111111111-1-1-1-1
χ9111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ10111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ11111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ12111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-111-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-11111111111111111-1-1-1-1-1-111
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-11111-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ1711111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i111-1-1-111-1-1i−iii−i−iii−i−iii−i−i11-1-1ii−i−i1-1i−i
χ1811111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-111-1-1ii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii1-1-111-111-1-1i−i−i−iiiii−i−iii−i−i-1-111−i−iii-11−ii
χ1911111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1-1-111ii−i−i−i−iii1111-1-1-1-1iiii−i−i−i−i-111-1-11-1-111−iiii−i−iii−i−i−i−iii-1-111−i−iii-11−ii
χ2011111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1-1-111ii−i−i−i−iii-1-1-1-11111−i−i−i−iiiii-1-1-1111-1-111−ii−i−iiiii−i−i−i−iii11-1-1ii−i−i1-1i−i
χ2111111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i-1-1-1-1111111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i1-1-111-1-1-111i−i−i−iii−i−iii−i−iii11-1-1ii−i−i-11−ii
χ2211111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i-1-1-1-1111111-1-1ii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii111-1-1-1-1-111i−iii−i−i−i−iii−i−iii-1-111−i−iii1-1i−i
χ2311111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i-1-1-1-11111-1-111ii−i−i−i−iii1111-1-1-1-1iiii−i−i−i−i-1-1-111111-1-1−ii−i−iii−i−iiiii−i−i-1-111−i−iii1-1i−i
χ2411111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i-1-1-1-11111-1-111ii−i−i−i−iii-1-1-1-11111−i−i−i−iiiii-111-1-1111-1-1−iiii−i−i−i−iiiii−i−i11-1-1ii−i−i-11−ii
χ2511111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii111-1-1-111-1-1−ii−i−iii−i−iii−i−iii11-1-1−i−iii1-1−ii
χ2611111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-111-1-1−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i1-1-111-111-1-1−iiii−i−i−i−iii−i−iii-1-111ii−i−i-11i−i
χ2711111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1-1-111−i−iiiii−i−i1111-1-1-1-1−i−i−i−iiiii-111-1-11-1-111i−i−i−iii−i−iiiii−i−i-1-111ii−i−i-11i−i
χ2811111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1-1-111−i−iiiii−i−i-1-1-1-11111iiii−i−i−i−i-1-1-1111-1-111i−iii−i−i−i−iiiii−i−i11-1-1−i−iii1-1−ii
χ2911111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii-1-1-1-1111111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii1-1-111-1-1-111−iiii−i−iii−i−iii−i−i11-1-1−i−iii-11i−i
χ3011111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii-1-1-1-1111111-1-1−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i111-1-1-1-1-111−ii−i−iiiii−i−iii−i−i-1-111ii−i−i1-1−ii
χ3111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii-1-1-1-11111-1-111−i−iiiii−i−i1111-1-1-1-1−i−i−i−iiiii-1-1-111111-1-1i−iii−i−iii−i−i−i−iii-1-111ii−i−i1-1−ii
χ3211111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii-1-1-1-11111-1-111−i−iiiii−i−i-1-1-1-11111iiii−i−i−i−i-111-1-1111-1-1i−i−i−iiiii−i−i−i−iii11-1-1−i−iii-11i−i
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χ342222222222222222-2-2-2-2-2-2-2-22222222200000000-2-2-2-2-2-2-2-2-2-2-2-20000000000000000200002000022000000000000000000000000
χ352222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000022222222-2-2-2-20000000000000000-20000-2000022000000000000000000000000
χ362222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2-2-22222222200000000000000002000020000-2-2000000000000000000000000
χ3722222222-2-2-2-2-2-2-2-2-2-2-2-222222i2i2i2i−2i−2i−2i−2i0000000022-2-2−2i−2i2i2i2i2i−2i−2i0000000000000000-2000020000−2i2i000000000000000000000000
χ3822222222-2-2-2-2-2-2-2-2-2-2-2-222222i2i2i2i−2i−2i−2i−2i00000000-2-222−2i−2i2i2i−2i−2i2i2i000000000000000020000-200002i−2i000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-2-2-2-2-22222−2i−2i−2i−2i2i2i2i2i0000000022-2-22i2i−2i−2i−2i−2i2i2i0000000000000000-20000200002i−2i000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-2-2-2-2-22222−2i−2i−2i−2i2i2i2i2i00000000-2-2222i2i−2i−2i2i2i−2i−2i000000000000000020000-20000−2i2i000000000000000000000000
χ4122-22-2-22-22i−2i2i2i−2i−2i2i−2i000000002ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ3000000002i−2i2-200002ζ3−2ζ32ζ−2ζi2i2−i2−i222−2−21−i1−i−1+i−1+i1+i1+i−1−i−1−i0000000000000000000000002−2i2−i21+i−1−i1−i−1+i0000
χ4222-22-2-22-22i−2i2i2i−2i−2i2i−2i000000002ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ3000000002i−2i2-200002ζ3−2ζ32ζ−2ζ−i2−i2i2i2−2−222−1+i−1+i1−i1−i−1−i−1−i1+i1+i000000000000000000000000−22−i2i2−1−i1+i−1+i1−i0000
χ4322-22-2-22-22i−2i2i2i−2i−2i2i−2i000000002ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ300000000−2i2i-220000−2ζ32ζ3−2ζ2ζi2i2−i2−i222−2−21−i1−i−1+i−1+i1+i1+i−1−i−1−i000000000000000000000000−22−i2i2−1−i1+i−1+i1−i0000
χ4422-22-2-22-22i−2i2i2i−2i−2i2i−2i000000002ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ300000000−2i2i-220000−2ζ32ζ3−2ζ2ζ−i2−i2i2i2−2−222−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000000000000000000000002−2i2−i21+i−1−i1−i−1+i0000
χ4522-22-2-22-22i−2i2i2i−2i−2i2i−2i00000000−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ3000000002i−2i2-20000−2ζ32ζ3−2ζ2ζi2i2−i2−i222−2−2−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000000000000000000000002−2i2−i2−1−i1+i−1+i1−i0000
χ4622-22-2-22-22i−2i2i2i−2i−2i2i−2i00000000−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ3000000002i−2i2-20000−2ζ32ζ3−2ζ2ζ−i2−i2i2i2−2−2221−i1−i−1+i−1+i1+i1+i−1−i−1−i000000000000000000000000−22−i2i21+i−1−i1−i−1+i0000
χ4722-22-2-22-22i−2i2i2i−2i−2i2i−2i00000000−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ300000000−2i2i-2200002ζ3−2ζ32ζ−2ζi2i2−i2−i222−2−2−1+i−1+i1−i1−i−1−i−1−i1+i1+i000000000000000000000000−22−i2i21+i−1−i1−i−1+i0000
χ4822-22-2-22-22i−2i2i2i−2i−2i2i−2i00000000−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ300000000−2i2i-2200002ζ3−2ζ32ζ−2ζ−i2−i2i2i2−2−2221−i1−i−1+i−1+i1+i1+i−1−i−1−i0000000000000000000000002−2i2−i2−1−i1+i−1+i1−i0000
χ4922-22-2-22-2−2i2i−2i−2i2i2i−2i2i000000002ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ000000002i−2i-220000−2ζ2ζ−2ζ32ζ3i2i2−i2−i2−2−2221+i1+i−1−i−1−i1−i1−i−1+i−1+i0000000000000000000000002−2−i2i2−1+i1−i−1−i1+i0000
χ5022-22-2-22-2−2i2i−2i−2i2i2i−2i2i000000002ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ000000002i−2i-220000−2ζ2ζ−2ζ32ζ3−i2−i2i2i222−2−2−1−i−1−i1+i1+i−1+i−1+i1−i1−i000000000000000000000000−22i2−i21−i−1+i1+i−1−i0000
χ5122-22-2-22-2−2i2i−2i−2i2i2i−2i2i000000002ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ00000000−2i2i2-200002ζ−2ζ2ζ3−2ζ3i2i2−i2−i2−2−2221+i1+i−1−i−1−i1−i1−i−1+i−1+i000000000000000000000000−22i2−i21−i−1+i1+i−1−i0000
χ5222-22-2-22-2−2i2i−2i−2i2i2i−2i2i000000002ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ00000000−2i2i2-200002ζ−2ζ2ζ3−2ζ3−i2−i2i2i222−2−2−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000000000000000000000002−2−i2i2−1+i1−i−1−i1+i0000
χ5322-22-2-22-2−2i2i−2i−2i2i2i−2i2i00000000−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ000000002i−2i-2200002ζ−2ζ2ζ3−2ζ3i2i2−i2−i2−2−222−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000000000000000000000002−2−i2i21−i−1+i1+i−1−i0000
χ5422-22-2-22-2−2i2i−2i−2i2i2i−2i2i00000000−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ000000002i−2i-2200002ζ−2ζ2ζ3−2ζ3−i2−i2i2i222−2−21+i1+i−1−i−1−i1−i1−i−1+i−1+i000000000000000000000000−22i2−i2−1+i1−i−1−i1+i0000
χ5522-22-2-22-2−2i2i−2i−2i2i2i−2i2i00000000−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ00000000−2i2i2-20000−2ζ2ζ−2ζ32ζ3i2i2−i2−i2−2−222−1−i−1−i1+i1+i−1+i−1+i1−i1−i000000000000000000000000−22i2−i2−1+i1−i−1−i1+i0000
χ5622-22-2-22-2−2i2i−2i−2i2i2i−2i2i00000000−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ00000000−2i2i2-20000−2ζ2ζ−2ζ32ζ3−i2−i2i2i222−2−21+i1+i−1−i−1−i1−i1−i−1+i−1+i0000000000000000000000002−2−i2i21−i−1+i1+i−1−i0000
χ5722-2-22-2-222i−2i−2i−2i2i2i2i−2i22-2-22i2i−2i−2i0000000022-2-22i2i−2i−2i000000000000000000002ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ30000000000002ζ−2ζ2ζ3−2ζ300000000000000000000
χ5822-2-22-2-222i−2i−2i−2i2i2i2i−2i22-2-22i2i−2i−2i0000000022-2-22i2i−2i−2i00000000000000000000−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ3000000000000−2ζ2ζ−2ζ32ζ300000000000000000000
χ5922-2-22-2-222i−2i−2i−2i2i2i2i−2i22-2-22i2i−2i−2i00000000-2-222−2i−2i2i2i000000000000000000002ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ3000000000000−2ζ2ζ−2ζ32ζ300000000000000000000
χ6022-2-22-2-222i−2i−2i−2i2i2i2i−2i22-2-22i2i−2i−2i00000000-2-222−2i−2i2i2i00000000000000000000−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ30000000000002ζ−2ζ2ζ3−2ζ300000000000000000000
χ6122-2-22-2-22−2i2i2i2i−2i−2i−2i2i22-2-2−2i−2i2i2i0000000022-2-2−2i−2i2i2i000000000000000000002ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ0000000000002ζ3−2ζ32ζ−2ζ00000000000000000000
χ6222-2-22-2-22−2i2i2i2i−2i−2i−2i2i22-2-2−2i−2i2i2i0000000022-2-2−2i−2i2i2i00000000000000000000−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ000000000000−2ζ32ζ3−2ζ2ζ00000000000000000000
χ6322-2-22-2-22−2i2i2i2i−2i−2i−2i2i22-2-2−2i−2i2i2i00000000-2-2222i2i−2i−2i000000000000000000002ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ000000000000−2ζ32ζ3−2ζ2ζ00000000000000000000
χ6422-2-22-2-22−2i2i2i2i−2i−2i−2i2i22-2-2−2i−2i2i2i00000000-2-2222i2i−2i−2i00000000000000000000−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ0000000000002ζ3−2ζ32ζ−2ζ00000000000000000000
χ652-222-2-2-222i−2i2i−2i2i−2i−2i2i2-22-22i−2i2i−2i000000002-22-22i−2i2i−2i0000000000002i−2i2i−2i2-22-20000000002i−2i2-20000000000000000000000000000000
χ662-222-2-2-222i−2i2i−2i2i−2i−2i2i2-22-22i−2i2i−2i000000002-22-22i−2i2i−2i000000000000−2i2i−2i2i-22-22000000000−2i2i-220000000000000000000000000000000
χ672-222-2-2-222i−2i2i−2i2i−2i−2i2i2-22-22i−2i2i−2i00000000-22-22−2i2i−2i2i0000000000002i−2i2i−2i2-22-2000000000−2i2i-220000000000000000000000000000000
χ682-222-2-2-222i−2i2i−2i2i−2i−2i2i2-22-22i−2i2i−2i00000000-22-22−2i2i−2i2i000000000000−2i2i−2i2i-22-220000000002i−2i2-20000000000000000000000000000000
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χ702-222-2-2-22−2i2i−2i2i−2i2i2i−2i2-22-2−2i2i−2i2i000000002-22-2−2i2i−2i2i000000000000−2i2i−2i2i2-22-2000000000−2i2i2-20000000000000000000000000000000
χ712-222-2-2-22−2i2i−2i2i−2i2i2i−2i2-22-2−2i2i−2i2i00000000-22-222i−2i2i−2i0000000000002i−2i2i−2i-22-22000000000−2i2i2-20000000000000000000000000000000
χ722-222-2-2-22−2i2i−2i2i−2i2i2i−2i2-22-2−2i2i−2i2i00000000-22-222i−2i2i−2i000000000000−2i2i−2i2i2-22-20000000002i−2i-220000000000000000000000000000000
χ732-2-2-2-222222-222-2-2-22-2-222-2-222i−2i2i−2i2i−2i2i−2i2-2-222-2-2200002i−2i2i−2i0000000000000000000000000000000000002i−2i2i−2i0000000000000000
χ742-2-2-2-222222-222-2-2-22-2-222-2-222i−2i2i−2i2i−2i2i−2i-222-2-222-200002i−2i2i−2i000000000000000000000000000000000000−2i2i−2i2i0000000000000000
χ752-2-2-2-222222-222-2-2-22-2-222-2-22−2i2i−2i2i−2i2i−2i2i2-2-222-2-220000−2i2i−2i2i000000000000000000000000000000000000−2i2i−2i2i0000000000000000
χ762-2-2-2-222222-222-2-2-22-2-222-2-22−2i2i−2i2i−2i2i−2i2i-222-2-222-20000−2i2i−2i2i0000000000000000000000000000000000002i−2i2i−2i0000000000000000
χ772-2-2-2-222222-222-2-2-2-222-2-222-22i−2i2i−2i2i−2i2i−2i000000000000−2i2i−2i2i000000000000000000000000002-22-200000000002i−2i2i−2i000000000000
χ782-2-2-2-222222-222-2-2-2-222-2-222-22i−2i2i−2i2i−2i2i−2i000000000000−2i2i−2i2i00000000000000000000000000-22-220000000000−2i2i−2i2i000000000000
χ792-2-2-2-222222-222-2-2-2-222-2-222-2−2i2i−2i2i−2i2i−2i2i0000000000002i−2i2i−2i000000000000000000000000002-22-20000000000−2i2i−2i2i000000000000
χ802-2-2-2-222222-222-2-2-2-222-2-222-2−2i2i−2i2i−2i2i−2i2i0000000000002i−2i2i−2i00000000000000000000000000-22-2200000000002i−2i2i−2i000000000000
χ812-2-2-2-2222-2-22-2-22222-2-22-222-22-22-2-22-222-2-22-222-200002-2-220000000000000000000000000000000000002-2-220000000000000000
χ822-2-2-2-2222-2-22-2-22222-2-22-222-22-22-2-22-22-222-22-2-2200002-2-22000000000000000000000000000000000000-222-20000000000000000
χ832-2-2-2-2222-2-22-2-22222-2-22-222-2-22-222-22-22-2-22-222-20000-222-2000000000000000000000000000000000000-222-20000000000000000
χ842-2-2-2-2222-2-22-2-22222-2-22-222-2-22-222-22-2-222-22-2-220000-222-20000000000000000000000000000000000002-2-220000000000000000
χ852-2-2-2-2222-2-22-2-2222-222-22-2-222-22-2-22-22000000000000-222-2000000000000000000000000002-2-2200000000002-2-22000000000000
χ862-2-2-2-2222-2-22-2-2222-222-22-2-222-22-2-22-22000000000000-222-200000000000000000000000000-222-20000000000-222-2000000000000
χ872-2-2-2-2222-2-22-2-2222-222-22-2-22-22-222-22-20000000000002-2-22000000000000000000000000002-2-220000000000-222-2000000000000
χ882-2-2-2-2222-2-22-2-2222-222-22-2-22-22-222-22-20000000000002-2-2200000000000000000000000000-222-200000000002-2-22000000000000
χ89444-4-44-4-444-4-4-4-444000000000000000000000000000000000000000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000000000
χ90444-4-44-4-444-4-4-4-44400000000000000000000000000000000000000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000000000
χ91444-4-44-4-4-4-44444-4-40000000000000000000000000000000000000000000022−22−2222−222222−22000000000000000000000000000000000000
χ92444-4-44-4-4-4-44444-4-400000000000000000000000000000000000000000000−222222−2222−22−2222000000000000000000000000000000000000
χ9344-4-44-4-444i−4i−4i−4i4i4i4i−4i-4-444−4i−4i4i4i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9444-4-44-4-44−4i4i4i4i−4i−4i−4i4i-4-4444i4i−4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ954-444-4-4-444i−4i4i−4i4i−4i−4i4i-44-44−4i4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ964-444-4-4-44−4i4i−4i4i−4i4i4i−4i-44-444i−4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ974-44-44-44-44i−4i−4i4i−4i4i−4i4i000000004ζ3−4ζ3−4ζ34ζ3−4ζ4ζ4ζ−4ζ000000000000000000000000000000000000000000000000000000000000000000000000
χ984-44-44-44-44i−4i−4i4i−4i4i−4i4i00000000−4ζ34ζ34ζ3−4ζ34ζ−4ζ−4ζ4ζ000000000000000000000000000000000000000000000000000000000000000000000000
χ994-44-44-44-4−4i4i4i−4i4i−4i4i−4i000000004ζ−4ζ−4ζ4ζ−4ζ34ζ34ζ3−4ζ3000000000000000000000000000000000000000000000000000000000000000000000000
χ1004-44-44-44-4−4i4i4i−4i4i−4i4i−4i00000000−4ζ4ζ4ζ−4ζ4ζ3−4ζ3−4ζ34ζ3000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-4444-4-4444-4-44-4-400000000000000000000000000000000000022−22−222222−22−222200000000000000000000000000000000000000000000
χ1024-4-4444-4-4444-4-44-4-4000000000000000000000000000000000000−222222−22−222222−2200000000000000000000000000000000000000000000
χ1034-4-4444-4-4-4-4-444-44400000000000000000000000000000000000022−22−2222−222222−2200000000000000000000000000000000000000000000
χ1044-4-4444-4-4-4-4-444-444000000000000000000000000000000000000−222222−2222−22−222200000000000000000000000000000000000000000000

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