Finite Group Databasebeta

← Group #199261

Character table — Group #199261

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11112222222244444444444444444444444444488881616161616161111222222224444444444444444444444444448888161616161616
order12224444444422244444444888888888888888888884488882222444444442224444444488888888888888888888448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111111-1-11-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111111-1-11-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ61111111111111-1-11-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-11-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111
χ81111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ91111-1-111-1-1-1-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−i1-1i−i1-11111-1-111-1-1-1-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−i1-1i−i1-1
χ101111-1-111-1-1-1-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii-11−ii-111111-1-111-1-1-1-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii-11−ii-11
χ111111-1-111-1-1-1-1-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−i-11i−i-111111-1-111-1-1-1-1-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−i-11i−i-11
χ121111-1-111-1-1-1-1-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii1-1−ii1-11111-1-111-1-1-1-1-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii1-1−ii1-1
χ131111-1-111-1-1-1-1-1-1-11-1-111111iiii−i−i−i−i−i−i−i−iiiiiii−i−i1-1−ii-111111-1-111-1-1-1-1-1-1-11-1-111111iiii−i−i−i−i−i−i−i−iiiiiii−i−i1-1−ii-11
χ141111-1-111-1-1-1-1-1-1-11-1-111111iiii−i−i−i−i−i−i−i−iiiii−i−iii-11i−i1-11111-1-111-1-1-1-1-1-1-11-1-111111iiii−i−i−i−i−i−i−i−iiiii−i−iii-11i−i1-1
χ151111-1-111-1-1-1-1-1-1-11-1-111111−i−i−i−iiiiiiiii−i−i−i−iii−i−i-11−ii1-11111-1-111-1-1-1-1-1-1-11-1-111111−i−i−i−iiiiiiiii−i−i−i−iii−i−i-11−ii1-1
χ161111-1-111-1-1-1-1-1-1-11-1-111111−i−i−i−iiiiiiiii−i−i−i−i−i−iii1-1i−i-111111-1-111-1-1-1-1-1-1-11-1-111111−i−i−i−iiiiiiiii−i−i−i−i−i−iii1-1i−i-11
χ172222222222-2-2-222-2-2-2-222-2-2000000000000000000000000002222222222-2-2-222-2-2-2-222-2-200000000000000000000000000
χ182222222222-2-2-2-2-2-222-2-2-222000000000000000000000000002222222222-2-2-2-2-2-222-2-2-22200000000000000000000000000
χ19222222-2-2-2-222-200-2002000022-2-222-2-2000000000000000000222222-2-2-2-222-200-2002000022-2-222-2-2000000000000000000
χ20222222-2-2-2-222-200-20020000-2-222-2-222000000000000000000222222-2-2-2-222-200-20020000-2-222-2-222000000000000000000
χ21222222-2-2-2-2-2-2200200-20000000000002i2i−2i−2i2i2i−2i−2i0000000000222222-2-2-2-2-2-2200200-20000000000002i2i−2i−2i2i2i−2i−2i0000000000
χ22222222-2-2-2-2-2-2200200-2000000000000−2i−2i2i2i−2i−2i2i2i0000000000222222-2-2-2-2-2-2200200-2000000000000−2i−2i2i2i−2i−2i2i2i0000000000
χ232222-2-222-2-222222-2-2-2-2-2-222000000000000000000000000002222-2-222-2-222222-2-2-2-2-2-22200000000000000000000000000
χ242222-2-222-2-2222-2-2-222-222-2-2000000000000000000000000002222-2-222-2-2222-2-2-222-222-2-200000000000000000000000000
χ252222-2-2-2-22222-200200-200000000000022-2-2-2-22200000000002222-2-2-2-22222-200200-200000000000022-2-2-2-2220000000000
χ262222-2-2-2-22222-200200-2000000000000-2-22222-2-200000000002222-2-2-2-22222-200200-2000000000000-2-22222-2-20000000000
χ272222-2-2-2-222-2-2200-200200002i2i−2i−2i−2i−2i2i2i0000000000000000002222-2-2-2-222-2-2200-200200002i2i−2i−2i−2i−2i2i2i000000000000000000
χ282222-2-2-2-222-2-2200-20020000−2i−2i2i2i2i2i−2i−2i0000000000000000002222-2-2-2-222-2-2200-20020000−2i−2i2i2i2i2i−2i−2i000000000000000000
χ292-22-22i−2i2-22i−2i0000002i−2i0002-21+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000002-22-22i−2i2-22i−2i0000002i−2i0002-21+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000
χ302-22-22i−2i2-22i−2i0000002i−2i0002-2−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000002-22-22i−2i2-22i−2i0000002i−2i0002-2−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000
χ312-22-22i−2i2-22i−2i000000−2i2i000-221+i−1−i1+i−1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000002-22-22i−2i2-22i−2i000000−2i2i000-221+i−1−i1+i−1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000
χ322-22-22i−2i2-22i−2i000000−2i2i000-22−1−i1+i−1−i1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000002-22-22i−2i2-22i−2i000000−2i2i000-22−1−i1+i−1−i1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000
χ332-22-22i−2i-22−2i2i0002-200002i−2i001+i−1−i−1−i1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i00000000002-22-22i−2i-22−2i2i0002-200002i−2i001+i−1−i−1−i1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i0000000000
χ342-22-22i−2i-22−2i2i0002-200002i−2i00−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i00000000002-22-22i−2i-22−2i2i0002-200002i−2i00−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i0000000000
χ352-22-22i−2i-22−2i2i000-220000−2i2i001+i−1−i−1−i1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i00000000002-22-22i−2i-22−2i2i000-220000−2i2i001+i−1−i−1−i1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i0000000000
χ362-22-22i−2i-22−2i2i000-220000−2i2i00−1−i1+i1+i−1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i00000000002-22-22i−2i-22−2i2i000-220000−2i2i00−1−i1+i1+i−1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i0000000000
χ372-22-2−2i2i2-2−2i2i0000002i−2i000-221−i−1+i1−i−1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000002-22-2−2i2i2-2−2i2i0000002i−2i000-221−i−1+i1−i−1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000
χ382-22-2−2i2i2-2−2i2i0000002i−2i000-22−1+i1−i−1+i1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000002-22-2−2i2i2-2−2i2i0000002i−2i000-22−1+i1−i−1+i1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000
χ392-22-2−2i2i2-2−2i2i000000−2i2i0002-21−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000002-22-2−2i2i2-2−2i2i000000−2i2i0002-21−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000
χ402-22-2−2i2i2-2−2i2i000000−2i2i0002-2−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000002-22-2−2i2i2-2−2i2i000000−2i2i0002-2−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000
χ412-22-2−2i2i-222i−2i0002-20000−2i2i001−i−1+i−1+i1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i00000000002-22-2−2i2i-222i−2i0002-20000−2i2i001−i−1+i−1+i1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i0000000000
χ422-22-2−2i2i-222i−2i0002-20000−2i2i00−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i00000000002-22-2−2i2i-222i−2i0002-20000−2i2i00−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i0000000000
χ432-22-2−2i2i-222i−2i000-2200002i−2i001−i−1+i−1+i1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i00000000002-22-2−2i2i-222i−2i000-2200002i−2i001−i−1+i−1+i1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i0000000000
χ442-22-2−2i2i-222i−2i000-2200002i−2i00−1+i1−i1−i−1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i00000000002-22-2−2i2i-222i−2i000-2200002i−2i00−1+i1−i1−i−1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i0000000000
χ454-4-440000004i−4i0000000000000000000000000002ζ3−2ζ32ζ−2ζ0000004-4-440000004i−4i0000000000000000000000000002ζ3−2ζ32ζ−2ζ000000
χ464-4-440000004i−4i000000000000000000000000000−2ζ32ζ3−2ζ2ζ0000004-4-440000004i−4i000000000000000000000000000−2ζ32ζ3−2ζ2ζ000000
χ474-4-44000000−4i4i0000000000000000000000000002ζ−2ζ2ζ3−2ζ30000004-4-44000000−4i4i0000000000000000000000000002ζ−2ζ2ζ3−2ζ3000000
χ484-4-44000000−4i4i000000000000000000000000000−2ζ2ζ−2ζ32ζ30000004-4-44000000−4i4i000000000000000000000000000−2ζ2ζ−2ζ32ζ3000000
χ4988-8-800000000000000000000000000000000000000000000088-8-8000000000000000000000000000000000000000000000
χ501111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ5211111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-111
χ5311111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1
χ541111111111111-1-11-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111
χ551111111111111-1-11-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ561111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ571111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ581111-1-111-1-1-1-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−i1-1i−i1-1-1-1-1-111-1-111111-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii−i−iii-11−ii-11
χ591111-1-111-1-1-1-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii-11−ii-11-1-1-1-111-1-111111-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−i1-1i−i1-1
χ601111-1-111-1-1-1-1-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−i-11i−i-11-1-1-1-111-1-111111-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii1-1−ii1-1
χ611111-1-111-1-1-1-1-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii1-1−ii1-1-1-1-1-111-1-111111-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−iii−i−i-11i−i-11
χ621111-1-111-1-1-1-1-1-1-11-1-111111iiii−i−i−i−i−i−i−i−iiiiiii−i−i1-1−ii-11-1-1-1-111-1-11111111-111-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−iii-11i−i1-1
χ631111-1-111-1-1-1-1-1-1-11-1-111111iiii−i−i−i−i−i−i−i−iiiii−i−iii-11i−i1-1-1-1-1-111-1-11111111-111-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i1-1−ii-11
χ641111-1-111-1-1-1-1-1-1-11-1-111111−i−i−i−iiiiiiiii−i−i−i−iii−i−i-11−ii1-1-1-1-1-111-1-11111111-111-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iii1-1i−i-11
χ651111-1-111-1-1-1-1-1-1-11-1-111111−i−i−i−iiiiiiiii−i−i−i−i−i−iii1-1i−i-11-1-1-1-111-1-11111111-111-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiii−i−i-11−ii1-1
χ662222222222-2-2-222-2-2-2-222-2-200000000000000000000000000-2-2-2-2-2-2-2-2-2-2222-2-22222-2-22200000000000000000000000000
χ672222222222-2-2-2-2-2-222-2-2-22200000000000000000000000000-2-2-2-2-2-2-2-2-2-2222222-2-2222-2-200000000000000000000000000
χ68222222-2-2-2-222-200-2002000022-2-222-2-2000000000000000000-2-2-2-2-2-22222-2-2200200-20000-2-222-2-222000000000000000000
χ69222222-2-2-2-222-200-20020000-2-222-2-222000000000000000000-2-2-2-2-2-22222-2-2200200-2000022-2-222-2-2000000000000000000
χ70222222-2-2-2-2-2-2200200-20000000000002i2i−2i−2i2i2i−2i−2i0000000000-2-2-2-2-2-2222222-200-2002000000000000−2i−2i2i2i−2i−2i2i2i0000000000
χ71222222-2-2-2-2-2-2200200-2000000000000−2i−2i2i2i−2i−2i2i2i0000000000-2-2-2-2-2-2222222-200-20020000000000002i2i−2i−2i2i2i−2i−2i0000000000
χ722222-2-222-2-222222-2-2-2-2-2-22200000000000000000000000000-2-2-2-222-2-222-2-2-2-2-2222222-2-200000000000000000000000000
χ732222-2-222-2-2222-2-2-222-222-2-200000000000000000000000000-2-2-2-222-2-222-2-2-2222-2-22-2-22200000000000000000000000000
χ742222-2-2-2-22222-200200-200000000000022-2-2-2-2220000000000-2-2-2-22222-2-2-2-2200-2002000000000000-2-22222-2-20000000000
χ752222-2-2-2-22222-200200-2000000000000-2-22222-2-20000000000-2-2-2-22222-2-2-2-2200-200200000000000022-2-2-2-2220000000000
χ762222-2-2-2-222-2-2200-200200002i2i−2i−2i−2i−2i2i2i000000000000000000-2-2-2-22222-2-222-200200-20000−2i−2i2i2i2i2i−2i−2i000000000000000000
χ772222-2-2-2-222-2-2200-20020000−2i−2i2i2i2i2i−2i−2i000000000000000000-2-2-2-22222-2-222-200200-200002i2i−2i−2i−2i−2i2i2i000000000000000000
χ782-22-22i−2i2-22i−2i0000002i−2i0002-21+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000-22-22−2i2i-22−2i2i000000−2i2i000-22−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000
χ792-22-22i−2i2-22i−2i0000002i−2i0002-2−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000-22-22−2i2i-22−2i2i000000−2i2i000-221+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000
χ802-22-22i−2i2-22i−2i000000−2i2i000-221+i−1−i1+i−1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000-22-22−2i2i-22−2i2i0000002i−2i0002-2−1−i1+i−1−i1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000
χ812-22-22i−2i2-22i−2i000000−2i2i000-22−1−i1+i−1−i1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000-22-22−2i2i-22−2i2i0000002i−2i0002-21+i−1−i1+i−1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000
χ822-22-22i−2i-22−2i2i0002-200002i−2i001+i−1−i−1−i1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i0000000000-22-22−2i2i2-22i−2i000-220000−2i2i00−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i0000000000
χ832-22-22i−2i-22−2i2i0002-200002i−2i00−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i0000000000-22-22−2i2i2-22i−2i000-220000−2i2i001+i−1−i−1−i1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i0000000000
χ842-22-22i−2i-22−2i2i000-220000−2i2i001+i−1−i−1−i1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i0000000000-22-22−2i2i2-22i−2i0002-200002i−2i00−1−i1+i1+i−1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i0000000000
χ852-22-22i−2i-22−2i2i000-220000−2i2i00−1−i1+i1+i−1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i0000000000-22-22−2i2i2-22i−2i0002-200002i−2i001+i−1−i−1−i1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i0000000000
χ862-22-2−2i2i2-2−2i2i0000002i−2i000-221−i−1+i1−i−1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000-22-222i−2i-222i−2i000000−2i2i0002-2−1+i1−i−1+i1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000
χ872-22-2−2i2i2-2−2i2i0000002i−2i000-22−1+i1−i−1+i1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000-22-222i−2i-222i−2i000000−2i2i0002-21−i−1+i1−i−1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000
χ882-22-2−2i2i2-2−2i2i000000−2i2i0002-21−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000-22-222i−2i-222i−2i0000002i−2i000-22−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000
χ892-22-2−2i2i2-2−2i2i000000−2i2i0002-2−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000-22-222i−2i-222i−2i0000002i−2i000-221−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000
χ902-22-2−2i2i-222i−2i0002-20000−2i2i001−i−1+i−1+i1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i0000000000-22-222i−2i2-2−2i2i000-2200002i−2i00−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i0000000000
χ912-22-2−2i2i-222i−2i0002-20000−2i2i00−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i0000000000-22-222i−2i2-2−2i2i000-2200002i−2i001−i−1+i−1+i1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i0000000000
χ922-22-2−2i2i-222i−2i000-2200002i−2i001−i−1+i−1+i1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i0000000000-22-222i−2i2-2−2i2i0002-20000−2i2i00−1+i1−i1−i−1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i0000000000
χ932-22-2−2i2i-222i−2i000-2200002i−2i00−1+i1−i1−i−1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i0000000000-22-222i−2i2-2−2i2i0002-20000−2i2i001−i−1+i−1+i1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i0000000000
χ944-4-440000004i−4i0000000000000000000000000002ζ3−2ζ32ζ−2ζ000000-444-4000000−4i4i000000000000000000000000000−2ζ32ζ3−2ζ2ζ000000
χ954-4-440000004i−4i000000000000000000000000000−2ζ32ζ3−2ζ2ζ000000-444-4000000−4i4i0000000000000000000000000002ζ3−2ζ32ζ−2ζ000000
χ964-4-44000000−4i4i0000000000000000000000000002ζ−2ζ2ζ3−2ζ3000000-444-40000004i−4i000000000000000000000000000−2ζ2ζ−2ζ32ζ3000000
χ974-4-44000000−4i4i000000000000000000000000000−2ζ2ζ−2ζ32ζ3000000-444-40000004i−4i0000000000000000000000000002ζ−2ζ2ζ3−2ζ3000000
χ9888-8-8000000000000000000000000000000000000000000000-8-888000000000000000000000000000000000000000000000

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