Finite Group Databasebeta

← Group #190827

Character table — Group #190827

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111111111112222222222222222222222224444444444444444888888888888888888888888888888888888888888888888
order12222222444444442222444444444444444444444444444444444444222244444444444488888888888888888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ81111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ91111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ101111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ121111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ131111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ141111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ151111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ161111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ1711111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i
χ1811111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii
χ1911111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-11111-1-111-1-111ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii
χ2011111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-11111-1-111-1-111−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i
χ2111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii
χ2211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i
χ2311111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-1111111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i
χ2411111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-1111111-1-111-1-1−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii
χ2511111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii
χ2611111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i
χ2711111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i
χ2811111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii
χ2911111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-1-111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i
χ3011111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-1-111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii
χ3111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii
χ3211111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-111-1-1-1-111−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i
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χ3422222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000000000000000
χ352222222222222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-22222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000000000000
χ362222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-22222000000000000000000000000000000000000000000000000
χ3722222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-222-2-222-2-22222-2-2000000000000000000000000000000000000000000000000
χ3822222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-22222-2-222-2-2-2-222000000000000000000000000000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2222222-2-2-2-22222-2-2-2-222000000000000000000000000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222222222-2-222-2-2-2-22222-2-2000000000000000000000000000000000000000000000000
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χ42222-2-22-2-22222-2-2-2-2000022-2-200002i2i−2i−2i2i2i−2i−2i22-2-200002i−2i2i−2i0000000000-2200-220000−2i2i−2i2i00000000000000000000000000000000
χ43222-2-22-2-22222-2-2-2-2000022-2-20000−2i−2i2i2i−2i−2i2i2i22-2-20000−2i2i−2i2i00000000002-2002-20000−2i2i−2i2i00000000000000000000000000000000
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χ46222-2-22-2-22222-2-2-2-20000-2-22200002i2i−2i−2i2i2i−2i−2i-2-2220000−2i2i−2i2i00000000-2200-2200−2i2i−2i2i000000000000000000000000000000000000
χ47222-2-22-2-22222-2-2-2-20000-2-2220000−2i−2i2i2i−2i−2i2i2i-2-22200002i−2i2i−2i000000002-2002-200−2i2i−2i2i000000000000000000000000000000000000
χ48222-2-22-2-22222-2-2-2-20000-2-2220000−2i−2i2i2i−2i−2i2i2i-2-22200002i−2i2i−2i00000000-2200-22002i−2i2i−2i000000000000000000000000000000000000
χ49222-2-22-2-2-2-2-2-22222000022-2-200002i2i−2i−2i−2i−2i2i2i-2-22200002i−2i−2i2i00000000002-200-2200002i−2i−2i2i00000000000000000000000000000000
χ50222-2-22-2-2-2-2-2-22222000022-2-200002i2i−2i−2i−2i−2i2i2i-2-22200002i−2i−2i2i0000000000-22002-20000−2i2i2i−2i00000000000000000000000000000000
χ51222-2-22-2-2-2-2-2-22222000022-2-20000−2i−2i2i2i2i2i−2i−2i-2-2220000−2i2i2i−2i00000000002-200-220000−2i2i2i−2i00000000000000000000000000000000
χ52222-2-22-2-2-2-2-2-22222000022-2-20000−2i−2i2i2i2i2i−2i−2i-2-2220000−2i2i2i−2i0000000000-22002-200002i−2i−2i2i00000000000000000000000000000000
χ53222-2-22-2-2-2-2-2-222220000-2-22200002i2i−2i−2i−2i−2i2i2i22-2-20000−2i2i2i−2i000000002-200-22002i−2i−2i2i000000000000000000000000000000000000
χ54222-2-22-2-2-2-2-2-222220000-2-22200002i2i−2i−2i−2i−2i2i2i22-2-20000−2i2i2i−2i00000000-22002-200−2i2i2i−2i000000000000000000000000000000000000
χ55222-2-22-2-2-2-2-2-222220000-2-2220000−2i−2i2i2i2i2i−2i−2i22-2-200002i−2i−2i2i000000002-200-2200−2i2i2i−2i000000000000000000000000000000000000
χ56222-2-22-2-2-2-2-2-222220000-2-2220000−2i−2i2i2i2i2i−2i−2i22-2-200002i−2i−2i2i00000000-22002-2002i−2i−2i2i000000000000000000000000000000000000
χ5722-22-2-22-22i2i−2i−2i2i2i−2i−2i22-2-22-22-22i2i−2i−2i000000002i−2i2i−2i2-22i−2i0000000000000000000000000000000000002ζ−2ζ2ζ3−2ζ32ζ−2ζ2ζ3−2ζ30000000000000000
χ5822-22-2-22-22i2i−2i−2i2i2i−2i−2i22-2-22-22-22i2i−2i−2i000000002i−2i2i−2i2-22i−2i000000000000000000000000000000000000−2ζ2ζ−2ζ32ζ3−2ζ2ζ−2ζ32ζ30000000000000000
χ5922-22-2-22-22i2i−2i−2i2i2i−2i−2i22-2-2-22-222i2i−2i−2i00000000−2i2i−2i2i-22−2i2i00000000000000000000000000002ζ−2ζ2ζ3−2ζ32ζ−2ζ2ζ3−2ζ3000000000000000000000000
χ6022-22-2-22-22i2i−2i−2i2i2i−2i−2i22-2-2-22-222i2i−2i−2i00000000−2i2i−2i2i-22−2i2i0000000000000000000000000000−2ζ2ζ−2ζ32ζ3−2ζ2ζ−2ζ32ζ3000000000000000000000000
χ6122-22-2-22-22i2i−2i−2i2i2i−2i−2i-2-2222-22-2−2i−2i2i2i000000002i−2i2i−2i-22−2i2i0000000000000000000000000000000000002ζ−2ζ2ζ3−2ζ3−2ζ2ζ−2ζ32ζ30000000000000000
χ6222-22-2-22-22i2i−2i−2i2i2i−2i−2i-2-2222-22-2−2i−2i2i2i000000002i−2i2i−2i-22−2i2i000000000000000000000000000000000000−2ζ2ζ−2ζ32ζ32ζ−2ζ2ζ3−2ζ30000000000000000
χ6322-22-2-22-22i2i−2i−2i2i2i−2i−2i-2-222-22-22−2i−2i2i2i00000000−2i2i−2i2i2-22i−2i00000000000000000000000000002ζ−2ζ2ζ3−2ζ3−2ζ2ζ−2ζ32ζ3000000000000000000000000
χ6422-22-2-22-22i2i−2i−2i2i2i−2i−2i-2-222-22-22−2i−2i2i2i00000000−2i2i−2i2i2-22i−2i0000000000000000000000000000−2ζ2ζ−2ζ32ζ32ζ−2ζ2ζ3−2ζ3000000000000000000000000
χ6522-22-2-22-2−2i−2i2i2i−2i−2i2i2i22-2-22-22-2−2i−2i2i2i00000000−2i2i−2i2i2-2−2i2i0000000000000000000000000000000000002ζ3−2ζ32ζ−2ζ2ζ3−2ζ32ζ−2ζ0000000000000000
χ6622-22-2-22-2−2i−2i2i2i−2i−2i2i2i22-2-22-22-2−2i−2i2i2i00000000−2i2i−2i2i2-2−2i2i000000000000000000000000000000000000−2ζ32ζ3−2ζ2ζ−2ζ32ζ3−2ζ2ζ0000000000000000
χ6722-22-2-22-2−2i−2i2i2i−2i−2i2i2i22-2-2-22-22−2i−2i2i2i000000002i−2i2i−2i-222i−2i00000000000000000000000000002ζ3−2ζ32ζ−2ζ2ζ3−2ζ32ζ−2ζ000000000000000000000000
χ6822-22-2-22-2−2i−2i2i2i−2i−2i2i2i22-2-2-22-22−2i−2i2i2i000000002i−2i2i−2i-222i−2i0000000000000000000000000000−2ζ32ζ3−2ζ2ζ−2ζ32ζ3−2ζ2ζ000000000000000000000000
χ6922-22-2-22-2−2i−2i2i2i−2i−2i2i2i-2-2222-22-22i2i−2i−2i00000000−2i2i−2i2i-222i−2i0000000000000000000000000000000000002ζ3−2ζ32ζ−2ζ−2ζ32ζ3−2ζ2ζ0000000000000000
χ7022-22-2-22-2−2i−2i2i2i−2i−2i2i2i-2-2222-22-22i2i−2i−2i00000000−2i2i−2i2i-222i−2i000000000000000000000000000000000000−2ζ32ζ3−2ζ2ζ2ζ3−2ζ32ζ−2ζ0000000000000000
χ7122-22-2-22-2−2i−2i2i2i−2i−2i2i2i-2-222-22-222i2i−2i−2i000000002i−2i2i−2i2-2−2i2i00000000000000000000000000002ζ3−2ζ32ζ−2ζ−2ζ32ζ3−2ζ2ζ000000000000000000000000
χ7222-22-2-22-2−2i−2i2i2i−2i−2i2i2i-2-222-22-222i2i−2i−2i000000002i−2i2i−2i2-2−2i2i0000000000000000000000000000−2ζ32ζ3−2ζ2ζ2ζ3−2ζ32ζ−2ζ000000000000000000000000
χ732-2-2222-2-22-22-22-22-22-22-200002-22-22i−2i2i−2i2i−2i2i−2i00000000000000002i−2i2i−2i000000000000000000000000000000002−22−22−22−2i2−i2i2−i2i2−i2i2−i2
χ742-2-2222-2-22-22-22-22-22-22-200002-22-22i−2i2i−2i2i−2i2i−2i00000000000000002i−2i2i−2i00000000000000000000000000000000−22−22−22−22−i2i2−i2i2−i2i2−i2i2
χ752-2-2222-2-22-22-22-22-22-22-200002-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000−2i2i−2i2i000000000000000000000000000000002−22−22−22−2−i2i2−i2i2−i2i2−i2i2
χ762-2-2222-2-22-22-22-22-22-22-200002-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000−2i2i−2i2i00000000000000000000000000000000−22−22−22−22i2−i2i2−i2i2−i2i2−i2
χ772-2-2222-2-22-22-22-22-2-22-220000-22-222i−2i2i−2i2i−2i2i−2i0000000000000000−2i2i−2i2i000000000000000000000000000000002−22−2−22−22i2−i2i2−i2−i2i2−i2i2
χ782-2-2222-2-22-22-22-22-2-22-220000-22-222i−2i2i−2i2i−2i2i−2i0000000000000000−2i2i−2i2i00000000000000000000000000000000−22−222−22−2−i2i2−i2i2i2−i2i2−i2
χ792-2-2222-2-22-22-22-22-2-22-220000-22-22−2i2i−2i2i−2i2i−2i2i00000000000000002i−2i2i−2i000000000000000000000000000000002−22−2−22−22−i2i2−i2i2i2−i2i2−i2
χ802-2-2222-2-22-22-22-22-2-22-220000-22-22−2i2i−2i2i−2i2i−2i2i00000000000000002i−2i2i−2i00000000000000000000000000000000−22−222−22−2i2−i2i2−i2−i2i2−i2i2
χ812-2-2222-2-2-22-22-22-222-22-20000-22-222i−2i2i−2i−2i2i−2i2i00000000000000002i−2i−2i2i00000000000000000000000000000000i2−i2−i2i2i2−i2−i2i2−222−2−222−2
χ822-2-2222-2-2-22-22-22-222-22-20000-22-222i−2i2i−2i−2i2i−2i2i00000000000000002i−2i−2i2i00000000000000000000000000000000−i2i2i2−i2−i2i2i2−i22−2−222−2−22
χ832-2-2222-2-2-22-22-22-222-22-20000-22-22−2i2i−2i2i2i−2i2i−2i0000000000000000−2i2i2i−2i00000000000000000000000000000000i2−i2−i2i2i2−i2−i2i22−2−222−2−22
χ842-2-2222-2-2-22-22-22-222-22-20000-22-22−2i2i−2i2i2i−2i2i−2i0000000000000000−2i2i2i−2i00000000000000000000000000000000−i2i2i2−i2−i2i2i2−i2−222−2−222−2
χ852-2-2222-2-2-22-22-22-22-22-2200002-22-22i−2i2i−2i−2i2i−2i2i0000000000000000−2i2i2i−2i00000000000000000000000000000000i2−i2−i2i2−i2i2i2−i2−222−22−2−22
χ862-2-2222-2-2-22-22-22-22-22-2200002-22-22i−2i2i−2i−2i2i−2i2i0000000000000000−2i2i2i−2i00000000000000000000000000000000−i2i2i2−i2i2−i2−i2i22−2−22−222−2
χ872-2-2222-2-2-22-22-22-22-22-2200002-22-2−2i2i−2i2i2i−2i2i−2i00000000000000002i−2i−2i2i00000000000000000000000000000000i2−i2−i2i2−i2i2i2−i22−2−22−222−2
χ882-2-2222-2-2-22-22-22-22-22-2200002-22-2−2i2i−2i2i2i−2i2i−2i00000000000000002i−2i−2i2i00000000000000000000000000000000−i2i2i2−i2i2−i2−i2i2−222−22−2−22
χ8944-4-44-4-444i4i−4i−4i−4i−4i4i4i00004-4-440000000000004i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000
χ9044-4-44-4-444i4i−4i−4i−4i−4i4i4i0000-444-4000000000000−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000
χ9144-4-44-4-44−4i−4i4i4i4i4i−4i−4i00004-4-44000000000000−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000
χ9244-4-44-4-44−4i−4i4i4i4i4i−4i−4i0000-444-40000000000004i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000
χ934-444-4-4-444i−4i−4i4i4i−4i−4i4i4-4-4400004i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ944-444-4-4-444i−4i−4i4i4i−4i−4i4i-444-40000−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ954-444-4-4-44−4i4i4i−4i−4i4i4i−4i4-4-440000−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ964-444-4-4-44−4i4i4i−4i−4i4i4i−4i-444-400004i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ974-44-44-44-44i−4i−4i4i−4i4i4i−4i000000000000000000000000000000004i−4i4-40000000000000000000000000000000000000000000000000000
χ984-44-44-44-44i−4i−4i4i−4i4i4i−4i00000000000000000000000000000000−4i4i-440000000000000000000000000000000000000000000000000000
χ994-44-44-44-4−4i4i4i−4i4i−4i−4i4i000000000000000000000000000000004i−4i-440000000000000000000000000000000000000000000000000000
χ1004-44-44-44-4−4i4i4i−4i4i−4i−4i4i00000000000000000000000000000000−4i4i4-40000000000000000000000000000000000000000000000000000
χ1014-4-4-4-44444-44-4-44-440000000000004-4-444-4-4400000000000000000000000000000000000000000000000000000000000000000000
χ1024-4-4-4-44444-44-4-44-44000000000000-444-4-444-400000000000000000000000000000000000000000000000000000000000000000000
χ1034-4-4-4-4444-44-444-44-40000000000004-4-44-444-400000000000000000000000000000000000000000000000000000000000000000000
χ1044-4-4-4-4444-44-444-44-4000000000000-444-44-4-4400000000000000000000000000000000000000000000000000000000000000000000

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