Finite Group Databasebeta

← Group #366239

Character table — Group #366239

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111111111111122222222222222224444444444444444444444444444444444448888888888888888888888888888888816161616
order12222222444444442222444444444444444444444444444444448888888888888888444444444444444488888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ91111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111
χ101111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111111111-1-1-1-111-1-1
χ111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-1
χ121111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-11111-1-111
χ131111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ141111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-111
χ151111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-111
χ161111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-111-1-1
χ1711111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−iiiii−i−i−i−i11-1-111-1-111-1-111-1-1i−ii−iii−i−i11-1-111-1-1i−ii−i
χ1811111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i−i−i−i−iiiii-1-111-1-111-1-111-1-111i−ii−i−i−iii11-1-111-1-1−ii−ii
χ1911111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iiiiiii−i−i−i−i11-1-111-1-1-1-111-1-111−ii−iiii−i−i-1-111-1-111−ii−ii
χ2011111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii−i−i−i−iiiii-1-111-1-11111-1-111-1-1−ii−ii−i−iii-1-111-1-111i−ii−i
χ2111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−iiiii−i−i−i−i-1-111-1-11111-1-111-1-1i−ii−iii−i−i-1-111-1-111−ii−ii
χ2211111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i−i−i−i−iiiii11-1-111-1-1-1-111-1-111i−ii−i−i−iii-1-111-1-111i−ii−i
χ2311111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iiiiiii−i−i−i−i-1-111-1-111-1-111-1-111−ii−iiii−i−i11-1-111-1-1i−ii−i
χ2411111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii−i−i−i−iiiii11-1-111-1-111-1-111-1-1−ii−ii−i−iii11-1-111-1-1−ii−ii
χ2511111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iiiiiii−i−i−i−i11-1-1-1-11111-1-1-1-111i−i−ii−i−iii11-1-1-1-111−iii−i
χ2611111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii−i−i−i−iiiii-1-11111-1-1-1-11111-1-1i−i−iiii−i−i11-1-1-1-111i−i−ii
χ2711111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−iiiii−i−i−i−i11-1-1-1-111-1-11111-1-1−iii−i−i−iii-1-11111-1-1i−i−ii
χ2811111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i−i−i−i−iiiii-1-11111-1-111-1-1-1-111−iii−iii−i−i-1-11111-1-1−iii−i
χ2911111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iiiiiii−i−i−i−i-1-11111-1-111-1-1-1-111i−i−ii−i−iii-1-11111-1-1i−i−ii
χ3011111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii−i−i−i−iiiii11-1-1-1-111-1-11111-1-1i−i−iiii−i−i-1-11111-1-1−iii−i
χ3111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−iiiii−i−i−i−i-1-11111-1-1-1-11111-1-1−iii−i−i−iii11-1-1-1-111−iii−i
χ3211111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i−i−i−i−iiiii11-1-1-1-11111-1-1-1-111−iii−iii−i−i11-1-1-1-111i−i−ii
χ332222222222222222-2-2-2-2-2-222222222-2-2-2-2-2-2000000000000000022222222000000000000000000000000-2-2-2-20000000000000000
χ342222222222222222-2-2-2-2-2-222222222-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-200000000000000000000000022220000000000000000
χ352222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000002222-2-2-2-2000000000000000000000000-2-2220000000000000000
χ362222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000-2-2-2-2222200000000000000000000000022-2-20000000000000000
χ3722222222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-2-2-22200000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000−2i2i−2i2i0000000000000000
χ3822222222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-2-2-2220000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000002i−2i2i−2i0000000000000000
χ3922222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-22222-2-222-2-200000000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000−2i2i2i−2i0000000000000000
χ4022222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-22222-2-222-2-20000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000002i−2i−2i2i0000000000000000
χ412222-2-2-2-222-2-222-2-22-22-2-2-200000000220000000000002i2i−2i−2i2i2i−2i−2i0000000022-2-222-2-200002i−2i2i−2i0000000000000000000000000000
χ422222-2-2-2-222-2-222-2-22-22-2-2-200000000220000000000002i2i−2i−2i2i2i−2i−2i00000000-2-222-2-2220000−2i2i−2i2i0000000000000000000000000000
χ432222-2-2-2-222-2-222-2-22-22-2-2-20000000022000000000000−2i−2i2i2i−2i−2i2i2i0000000022-2-222-2-20000−2i2i−2i2i0000000000000000000000000000
χ442222-2-2-2-222-2-222-2-22-22-2-2-20000000022000000000000−2i−2i2i2i−2i−2i2i2i00000000-2-222-2-22200002i−2i2i−2i0000000000000000000000000000
χ452222-2-2-2-2-2-222-2-222-22-22-2-2000000002200000000000022-2-2-2-222000000002i2i−2i−2i−2i−2i2i2i0000−2i2i2i−2i0000000000000000000000000000
χ462222-2-2-2-2-2-222-2-222-22-22-2-2000000002200000000000022-2-2-2-22200000000−2i−2i2i2i2i2i−2i−2i00002i−2i−2i2i0000000000000000000000000000
χ472222-2-2-2-2-2-222-2-222-22-22-2-20000000022000000000000-2-22222-2-2000000002i2i−2i−2i−2i−2i2i2i00002i−2i−2i2i0000000000000000000000000000
χ482222-2-2-2-2-2-222-2-222-22-22-2-20000000022000000000000-2-22222-2-200000000−2i−2i2i2i2i2i−2i−2i0000−2i2i2i−2i0000000000000000000000000000
χ4922-2-222-2-22222-2-2-2-2-2-2222-2000000002-2000022-2-222-2-200000000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000
χ5022-2-222-2-22222-2-2-2-2-2-2222-2000000002-2000022-2-222-2-20000000000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000
χ5122-2-222-2-22222-2-2-2-2-2-2222-2000000002-20000-2-222-2-22200000000000000002i−2i2i−2i2i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000
χ5222-2-222-2-22222-2-2-2-2-2-2222-2000000002-20000-2-222-2-2220000000000000000−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000
χ5322-2-222-2-2-2-2-2-2222222-2-22-2000000002-200002i2i−2i−2i−2i−2i2i2i00000000000000002-22-2-22-22−2i2i2i−2i00000000000000000000000000000000
χ5422-2-222-2-2-2-2-2-2222222-2-22-2000000002-200002i2i−2i−2i−2i−2i2i2i0000000000000000-22-222-22-22i−2i−2i2i00000000000000000000000000000000
χ5522-2-222-2-2-2-2-2-2222222-2-22-2000000002-20000−2i−2i2i2i2i2i−2i−2i00000000000000002-22-2-22-222i−2i−2i2i00000000000000000000000000000000
χ5622-2-222-2-2-2-2-2-2222222-2-22-2000000002-20000−2i−2i2i2i2i2i−2i−2i0000000000000000-22-222-22-2−2i2i2i−2i00000000000000000000000000000000
χ5722-2-2-2-22222-2-2-2-2222-2-222-22i2i−2i−2i2i2i−2i−2i-222i−2i2i−2i00000000000000000000000000000000000000002-22-22i−2i2i−2i00000000000000000000
χ5822-2-2-2-22222-2-2-2-2222-2-222-22i2i−2i−2i2i2i−2i−2i-222i−2i2i−2i0000000000000000000000000000000000000000-22-22−2i2i−2i2i00000000000000000000
χ5922-2-2-2-22222-2-2-2-2222-2-222-2−2i−2i2i2i−2i−2i2i2i-22−2i2i−2i2i00000000000000000000000000000000000000002-22-2−2i2i−2i2i00000000000000000000
χ6022-2-2-2-22222-2-2-2-2222-2-222-2−2i−2i2i2i−2i−2i2i2i-22−2i2i−2i2i0000000000000000000000000000000000000000-22-222i−2i2i−2i00000000000000000000
χ6122-2-2-2-22222-2-2-2-222-222-2-222i2i−2i−2i2i2i−2i−2i2-2−2i2i−2i2i0000000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000002-22-2000000000000
χ6222-2-2-2-22222-2-2-2-222-222-2-222i2i−2i−2i2i2i−2i−2i2-2−2i2i−2i2i000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000000000-22-22000000000000
χ6322-2-2-2-22222-2-2-2-222-222-2-22−2i−2i2i2i−2i−2i2i2i2-22i−2i2i−2i0000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000000000-22-22000000000000
χ6422-2-2-2-22222-2-2-2-222-222-2-22−2i−2i2i2i−2i−2i2i2i2-22i−2i2i−2i000000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000002-22-2000000000000
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χ6722-2-2-2-222-2-22222-2-22-2-22-22−2i−2i2i2i2i2i−2i−2i2-22i−2i−2i2i0000000000000000000000002-2-22-222-2000000000000000000002i−2i−2i2i000000000000
χ6822-2-2-2-222-2-22222-2-22-2-22-22−2i−2i2i2i2i2i−2i−2i2-22i−2i−2i2i000000000000000000000000-222-22-2-2200000000000000000000−2i2i2i−2i000000000000
χ6922-2-2-2-222-2-22222-2-2-222-22-22i2i−2i−2i−2i−2i2i2i-222i−2i−2i2i00000000000000000000000000000000000000002-2-222i−2i−2i2i00000000000000000000
χ7022-2-2-2-222-2-22222-2-2-222-22-22i2i−2i−2i−2i−2i2i2i-222i−2i−2i2i0000000000000000000000000000000000000000-222-2−2i2i2i−2i00000000000000000000
χ7122-2-2-2-222-2-22222-2-2-222-22-2−2i−2i2i2i2i2i−2i−2i-22−2i2i2i−2i00000000000000000000000000000000000000002-2-22−2i2i2i−2i00000000000000000000
χ7222-2-2-2-222-2-22222-2-2-222-22-2−2i−2i2i2i2i2i−2i−2i-22−2i2i2i−2i0000000000000000000000000000000000000000-222-22i−2i−2i2i00000000000000000000
χ732-22-22-22-22i−2i2i−2i2i−2i2i−2i0000002-22-22i−2i2i−2i0000001+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i2ζ−2ζ2ζ3−2ζ32ζ−2ζ2ζ3−2ζ3000000000000000000000000000000002−2i2−i22−2i2−i20000
χ742-22-22-22-22i−2i2i−2i2i−2i2i−2i0000002-22-22i−2i2i−2i0000001+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−2ζ2ζ−2ζ32ζ3−2ζ2ζ−2ζ32ζ300000000000000000000000000000000−22−i2i2−22−i2i20000
χ752-22-22-22-22i−2i2i−2i2i−2i2i−2i0000002-22-22i−2i2i−2i000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i2ζ−2ζ2ζ3−2ζ32ζ−2ζ2ζ3−2ζ300000000000000000000000000000000−22−i2i2−22−i2i20000
χ762-22-22-22-22i−2i2i−2i2i−2i2i−2i0000002-22-22i−2i2i−2i000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−2ζ2ζ−2ζ32ζ3−2ζ2ζ−2ζ32ζ3000000000000000000000000000000002−2i2−i22−2i2−i20000
χ772-22-22-22-22i−2i2i−2i2i−2i2i−2i000000-22-22−2i2i−2i2i0000001+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i2ζ−2ζ2ζ3−2ζ3−2ζ2ζ−2ζ32ζ3000000000000000000000000000000002−2i2−i2−22−i2i20000
χ782-22-22-22-22i−2i2i−2i2i−2i2i−2i000000-22-22−2i2i−2i2i0000001+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−2ζ2ζ−2ζ32ζ32ζ−2ζ2ζ3−2ζ300000000000000000000000000000000−22−i2i22−2i2−i20000
χ792-22-22-22-22i−2i2i−2i2i−2i2i−2i000000-22-22−2i2i−2i2i000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i2ζ−2ζ2ζ3−2ζ3−2ζ2ζ−2ζ32ζ300000000000000000000000000000000−22−i2i22−2i2−i20000
χ802-22-22-22-22i−2i2i−2i2i−2i2i−2i000000-22-22−2i2i−2i2i000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−2ζ2ζ−2ζ32ζ32ζ−2ζ2ζ3−2ζ3000000000000000000000000000000002−2i2−i2−22−i2i20000
χ812-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000002-22-2−2i2i−2i2i0000001−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i2ζ3−2ζ32ζ−2ζ2ζ3−2ζ32ζ−2ζ00000000000000000000000000000000−22i2−i2−22i2−i20000
χ822-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000002-22-2−2i2i−2i2i0000001−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−2ζ32ζ3−2ζ2ζ−2ζ32ζ3−2ζ2ζ000000000000000000000000000000002−2−i2i22−2−i2i20000
χ832-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000002-22-2−2i2i−2i2i000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i2ζ3−2ζ32ζ−2ζ2ζ3−2ζ32ζ−2ζ000000000000000000000000000000002−2−i2i22−2−i2i20000
χ842-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000002-22-2−2i2i−2i2i000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−2ζ32ζ3−2ζ2ζ−2ζ32ζ3−2ζ2ζ00000000000000000000000000000000−22i2−i2−22i2−i20000
χ852-22-22-22-2−2i2i−2i2i−2i2i−2i2i000000-22-222i−2i2i−2i0000001−i−1+i1−i−1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i2ζ3−2ζ32ζ−2ζ−2ζ32ζ3−2ζ2ζ00000000000000000000000000000000−22i2−i22−2−i2i20000
χ862-22-22-22-2−2i2i−2i2i−2i2i−2i2i000000-22-222i−2i2i−2i0000001−i−1+i1−i−1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−2ζ32ζ3−2ζ2ζ2ζ3−2ζ32ζ−2ζ000000000000000000000000000000002−2−i2i2−22i2−i20000
χ872-22-22-22-2−2i2i−2i2i−2i2i−2i2i000000-22-222i−2i2i−2i000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i2ζ3−2ζ32ζ−2ζ−2ζ32ζ3−2ζ2ζ000000000000000000000000000000002−2−i2i2−22i2−i20000
χ882-22-22-22-2−2i2i−2i2i−2i2i−2i2i000000-22-222i−2i2i−2i000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−2ζ32ζ3−2ζ2ζ2ζ3−2ζ32ζ−2ζ00000000000000000000000000000000−22i2−i22−2−i2i20000
χ894444-4-4-4-444-4-444-4-4-44-444400000000-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ904444-4-4-4-4-4-444-4-4444-44-44400000000-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ9144-4-444-4-44444-4-4-4-444-4-4-4400000000-44000000000000000000000000000000000000000000000000000000000000000000000000
χ9244-4-444-4-4-4-4-4-44444-4-444-4400000000-44000000000000000000000000000000000000000000000000000000000000000000000000
χ934-44-4-44-444i−4i−4i4i4i−4i−4i4i00000000000000000000000000002−2i−2+2i−2+2i2−2i−2−2i2+2i2+2i−2−2i0000000000000000000000000000000000000000000000000000
χ944-44-4-44-444i−4i−4i4i4i−4i−4i4i0000000000000000000000000000−2+2i2−2i2−2i−2+2i2+2i−2−2i−2−2i2+2i0000000000000000000000000000000000000000000000000000
χ954-44-4-44-44−4i4i4i−4i−4i4i4i−4i00000000000000000000000000002+2i−2−2i−2−2i2+2i−2+2i2−2i2−2i−2+2i0000000000000000000000000000000000000000000000000000
χ964-44-4-44-44−4i4i4i−4i−4i4i4i−4i0000000000000000000000000000−2−2i2+2i2+2i−2−2i2−2i−2+2i−2+2i2−2i0000000000000000000000000000000000000000000000000000
χ974-4-444-4-444i−4i4i−4i−4i4i−4i4i000000000000000000002+2i−2−2i−2−2i2+2i2−2i−2+2i−2+2i2−2i000000000000000000000000000000000000000000000000000000000000
χ984-4-444-4-444i−4i4i−4i−4i4i−4i4i00000000000000000000−2−2i2+2i2+2i−2−2i−2+2i2−2i2−2i−2+2i000000000000000000000000000000000000000000000000000000000000
χ994-4-444-4-44−4i4i−4i4i4i−4i4i−4i000000000000000000002−2i−2+2i−2+2i2−2i2+2i−2−2i−2−2i2+2i000000000000000000000000000000000000000000000000000000000000
χ1004-4-444-4-44−4i4i−4i4i4i−4i4i−4i00000000000000000000−2+2i2−2i2−2i−2+2i−2−2i2+2i2+2i−2−2i000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-444-44i−4i−4i4i−4i4i4i−4i0000004i−4i−4i4i-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ1024-4-44-444-44i−4i−4i4i−4i4i4i−4i000000−4i4i4i−4i4-4-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ1034-4-44-444-4−4i4i4i−4i4i−4i−4i4i0000004i−4i−4i4i4-4-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ1044-4-44-444-4−4i4i4i−4i4i−4i−4i4i000000−4i4i4i−4i-444-400000000000000000000000000000000000000000000000000000000000000000000000000

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