Finite Group Databasebeta

← Group #206365

Character table — Group #206365

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222222224444444444444444444444441616161616161616111111112222222222224444444444444444444444441616161616161616
order12224444224444444444444444448888888888888888444488882222444422444444444444444444888888888888888844448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ511111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ91111-1-1-1-1-1-11111-1-111-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1-11-1i−ii−i1111-1-1-1-1-1-11111-1-111-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1-11-1i−ii−i
χ101111-1-1-1-1-1-11111-1-111-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-11-11−ii−ii1111-1-1-1-1-1-11111-1-111-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-11-11−ii−ii
χ111111-1-1-1-1-1-11111-1-111-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1-1-11i−i−ii1111-1-1-1-1-1-11111-1-111-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1-1-11i−i−ii
χ121111-1-1-1-1-1-11111-1-111-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-111-1−iii−i1111-1-1-1-1-1-11111-1-111-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-111-1−iii−i
χ131111-1-1-1-1-1-11111-1-111-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1-11-1−ii−ii1111-1-1-1-1-1-11111-1-111-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1-11-1−ii−ii
χ141111-1-1-1-1-1-11111-1-111-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-11-11i−ii−i1111-1-1-1-1-1-11111-1-111-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-11-11i−ii−i
χ151111-1-1-1-1-1-11111-1-111-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1-1-11−iii−i1111-1-1-1-1-1-11111-1-111-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1-1-11−iii−i
χ161111-1-1-1-1-1-11111-1-111-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-111-1i−i−ii1111-1-1-1-1-1-11111-1-111-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-111-1i−i−ii
χ17222222222222-2-2-2-2-2-2-2-222-2-222-2-2000000000000000000000000222222222222-2-2-2-2-2-2-2-222-2-222-2-2000000000000000000000000
χ18222222222222-2-2-2-2-2-2-2-2-2-222-2-222000000000000000000000000222222222222-2-2-2-2-2-2-2-2-2-222-2-222000000000000000000000000
χ1922222222-2-2-2-222-2-2-2-222000000000000000022-2-222-2-20000000022222222-2-2-2-222-2-2-2-222000000000000000022-2-222-2-200000000
χ2022222222-2-2-2-222-2-2-2-2220000000000000000-2-222-2-2220000000022222222-2-2-2-222-2-2-2-2220000000000000000-2-222-2-22200000000
χ2122222222-2-2-2-2-2-22222-2-20000000022-2-222-2-2000000000000000022222222-2-2-2-2-2-22222-2-20000000022-2-222-2-20000000000000000
χ2222222222-2-2-2-2-2-22222-2-200000000-2-222-2-222000000000000000022222222-2-2-2-2-2-22222-2-200000000-2-222-2-2220000000000000000
χ232222-2-2-2-222-2-22222-2-2-2-200000000000000002i2i−2i−2i−2i−2i2i2i000000002222-2-2-2-222-2-22222-2-2-2-200000000000000002i2i−2i−2i−2i−2i2i2i00000000
χ242222-2-2-2-222-2-22222-2-2-2-20000000000000000−2i−2i2i2i2i2i−2i−2i000000002222-2-2-2-222-2-22222-2-2-2-20000000000000000−2i−2i2i2i2i2i−2i−2i00000000
χ252222-2-2-2-222-2-2-2-2-2-222220000000022-2-2-2-22200000000000000002222-2-2-2-222-2-2-2-2-2-222220000000022-2-2-2-2220000000000000000
χ262222-2-2-2-222-2-2-2-2-2-2222200000000-2-22222-2-200000000000000002222-2-2-2-222-2-2-2-2-2-2222200000000-2-22222-2-20000000000000000
χ272222-2-2-2-2-2-222-2-222-2-2222i2i−2i−2i−2i−2i2i2i0000000000000000000000002222-2-2-2-2-2-222-2-222-2-2222i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ282222-2-2-2-2-2-222-2-222-2-222−2i−2i2i2i2i2i−2i−2i0000000000000000000000002222-2-2-2-2-2-222-2-222-2-222−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ292-22-22i2i−2i−2i00002-200002i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+ii2−i2i2−i22−22−2002ζ3−2ζ3002ζ−2ζ000000002-22-22i2i−2i−2i00002-200002i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+ii2−i2i2−i22−22−2002ζ3−2ζ3002ζ−2ζ00000000
χ302-22-22i2i−2i−2i00002-200002i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−i2i2−i2i2−22−2200−2ζ32ζ300−2ζ2ζ000000002-22-22i2i−2i−2i00002-200002i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−i2i2−i2i2−22−2200−2ζ32ζ300−2ζ2ζ00000000
χ312-22-22i2i−2i−2i00002-200002i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−ii2−i2i2−i22−22−200−2ζ32ζ300−2ζ2ζ000000002-22-22i2i−2i−2i00002-200002i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−ii2−i2i2−i22−22−200−2ζ32ζ300−2ζ2ζ00000000
χ322-22-22i2i−2i−2i00002-200002i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−i2i2−i2i2−22−22002ζ3−2ζ3002ζ−2ζ000000002-22-22i2i−2i−2i00002-200002i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−i2i2−i2i2−22−22002ζ3−2ζ3002ζ−2ζ00000000
χ332-22-22i2i−2i−2i0000-220000−2i2i1+i−1−i−1−i1+i1−i−1+i−1+i1−ii2−i2−i2i22−2−222ζ3−2ζ3002ζ−2ζ00000000002-22-22i2i−2i−2i0000-220000−2i2i1+i−1−i−1−i1+i1−i−1+i−1+i1−ii2−i2−i2i22−2−222ζ3−2ζ3002ζ−2ζ0000000000
χ342-22-22i2i−2i−2i0000-220000−2i2i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−i2i2i2−i2−222−2−2ζ32ζ300−2ζ2ζ00000000002-22-22i2i−2i−2i0000-220000−2i2i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−i2i2i2−i2−222−2−2ζ32ζ300−2ζ2ζ0000000000
χ352-22-22i2i−2i−2i0000-220000−2i2i−1−i1+i1+i−1−i−1+i1−i1−i−1+ii2−i2−i2i22−2−22−2ζ32ζ300−2ζ2ζ00000000002-22-22i2i−2i−2i0000-220000−2i2i−1−i1+i1+i−1−i−1+i1−i1−i−1+ii2−i2−i2i22−2−22−2ζ32ζ300−2ζ2ζ0000000000
χ362-22-22i2i−2i−2i0000-220000−2i2i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−i2i2i2−i2−222−22ζ3−2ζ3002ζ−2ζ00000000002-22-22i2i−2i−2i0000-220000−2i2i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−i2i2i2−i2−222−22ζ3−2ζ3002ζ−2ζ0000000000
χ372-22-2−2i−2i2i2i00002-20000−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−ii2−i2i2−i2−22−22002ζ−2ζ002ζ3−2ζ3000000002-22-2−2i−2i2i2i00002-20000−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−ii2−i2i2−i2−22−22002ζ−2ζ002ζ3−2ζ300000000
χ382-22-2−2i−2i2i2i00002-20000−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−i2i2−i2i22−22−200−2ζ2ζ00−2ζ32ζ3000000002-22-2−2i−2i2i2i00002-20000−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−i2i2−i2i22−22−200−2ζ2ζ00−2ζ32ζ300000000
χ392-22-2−2i−2i2i2i00002-20000−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+ii2−i2i2−i2−22−2200−2ζ2ζ00−2ζ32ζ3000000002-22-2−2i−2i2i2i00002-20000−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+ii2−i2i2−i2−22−2200−2ζ2ζ00−2ζ32ζ300000000
χ402-22-2−2i−2i2i2i00002-20000−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−i2i2−i2i22−22−2002ζ−2ζ002ζ3−2ζ3000000002-22-2−2i−2i2i2i00002-20000−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−i2i2−i2i22−22−2002ζ−2ζ002ζ3−2ζ300000000
χ412-22-2−2i−2i2i2i0000-2200002i−2i1−i−1+i−1+i1−i1+i−1−i−1−i1+ii2−i2−i2i2−222−22ζ−2ζ002ζ3−2ζ300000000002-22-2−2i−2i2i2i0000-2200002i−2i1−i−1+i−1+i1−i1+i−1−i−1−i1+ii2−i2−i2i2−222−22ζ−2ζ002ζ3−2ζ30000000000
χ422-22-2−2i−2i2i2i0000-2200002i−2i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−i2i2i2−i22−2−22−2ζ2ζ00−2ζ32ζ300000000002-22-2−2i−2i2i2i0000-2200002i−2i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−i2i2i2−i22−2−22−2ζ2ζ00−2ζ32ζ30000000000
χ432-22-2−2i−2i2i2i0000-2200002i−2i−1+i1−i1−i−1+i−1−i1+i1+i−1−ii2−i2−i2i2−222−2−2ζ2ζ00−2ζ32ζ300000000002-22-2−2i−2i2i2i0000-2200002i−2i−1+i1−i1−i−1+i−1−i1+i1+i−1−ii2−i2−i2i2−222−2−2ζ2ζ00−2ζ32ζ30000000000
χ442-22-2−2i−2i2i2i0000-2200002i−2i−1+i1−i1−i−1+i−1−i1+i1+i−1−i−i2i2i2−i22−2−222ζ−2ζ002ζ3−2ζ300000000002-22-2−2i−2i2i2i0000-2200002i−2i−1+i1−i1−i−1+i−1−i1+i1+i−1−i−i2i2i2−i22−2−222ζ−2ζ002ζ3−2ζ30000000000
χ4544-4-44-44-44-44-4000000000000000000000000000000000000000044-4-44-44-44-44-40000000000000000000000000000000000000000
χ4644-4-44-44-4-44-44000000000000000000000000000000000000000044-4-44-44-4-44-440000000000000000000000000000000000000000
χ4744-4-4-44-444-4-44000000000000000000000000000000000000000044-4-4-44-444-4-440000000000000000000000000000000000000000
χ4844-4-4-44-44-444-4000000000000000000000000000000000000000044-4-4-44-44-444-40000000000000000000000000000000000000000
χ494-4-444i−4i−4i4i0000004i−4i4-400000000000000000000000000000000004-4-444i−4i−4i4i0000004i−4i4-40000000000000000000000000000000000
χ504-4-444i−4i−4i4i000000−4i4i-4400000000000000000000000000000000004-4-444i−4i−4i4i000000−4i4i-440000000000000000000000000000000000
χ514-4-44−4i4i4i−4i0000004i−4i-4400000000000000000000000000000000004-4-44−4i4i4i−4i0000004i−4i-440000000000000000000000000000000000
χ524-4-44−4i4i4i−4i000000−4i4i4-400000000000000000000000000000000004-4-44−4i4i4i−4i000000−4i4i4-40000000000000000000000000000000000
χ531111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ551111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-111
χ561111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1
χ5711111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ5811111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ5911111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ6011111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ611111-1-1-1-1-1-11111-1-111-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1-11-1i−ii−i-1-1-1-1111111-1-1-1-111-1-111−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii-11-11−ii−ii
χ621111-1-1-1-1-1-11111-1-111-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-11-11−ii−ii-1-1-1-1111111-1-1-1-111-1-111−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii1-11-1i−ii−i
χ631111-1-1-1-1-1-11111-1-111-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1-1-11i−i−ii-1-1-1-1111111-1-1-1-111-1-111−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-111-1−iii−i
χ641111-1-1-1-1-1-11111-1-111-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-111-1−iii−i-1-1-1-1111111-1-1-1-111-1-111−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i1-1-11i−i−ii
χ651111-1-1-1-1-1-11111-1-111-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1-11-1−ii−ii-1-1-1-1111111-1-1-1-111-1-111iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i-11-11i−ii−i
χ661111-1-1-1-1-1-11111-1-111-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-11-11i−ii−i-1-1-1-1111111-1-1-1-111-1-111iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i1-11-1−ii−ii
χ671111-1-1-1-1-1-11111-1-111-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1-1-11−iii−i-1-1-1-1111111-1-1-1-111-1-111iiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-111-1i−i−ii
χ681111-1-1-1-1-1-11111-1-111-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-111-1i−i−ii-1-1-1-1111111-1-1-1-111-1-111iiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii1-1-11−iii−i
χ69222222222222-2-2-2-2-2-2-2-222-2-222-2-2000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-222222222-2-222-2-222000000000000000000000000
χ70222222222222-2-2-2-2-2-2-2-2-2-222-2-222000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-222-2-2000000000000000000000000
χ7122222222-2-2-2-222-2-2-2-222000000000000000022-2-222-2-200000000-2-2-2-2-2-2-2-22222-2-22222-2-20000000000000000-2-222-2-22200000000
χ7222222222-2-2-2-222-2-2-2-2220000000000000000-2-222-2-22200000000-2-2-2-2-2-2-2-22222-2-22222-2-2000000000000000022-2-222-2-200000000
χ7322222222-2-2-2-2-2-22222-2-20000000022-2-222-2-20000000000000000-2-2-2-2-2-2-2-2222222-2-2-2-22200000000-2-222-2-2220000000000000000
χ7422222222-2-2-2-2-2-22222-2-200000000-2-222-2-2220000000000000000-2-2-2-2-2-2-2-2222222-2-2-2-2220000000022-2-222-2-20000000000000000
χ752222-2-2-2-222-2-22222-2-2-2-200000000000000002i2i−2i−2i−2i−2i2i2i00000000-2-2-2-22222-2-222-2-2-2-222220000000000000000−2i−2i2i2i2i2i−2i−2i00000000
χ762222-2-2-2-222-2-22222-2-2-2-20000000000000000−2i−2i2i2i2i2i−2i−2i00000000-2-2-2-22222-2-222-2-2-2-2222200000000000000002i2i−2i−2i−2i−2i2i2i00000000
χ772222-2-2-2-222-2-2-2-2-2-222220000000022-2-2-2-2220000000000000000-2-2-2-22222-2-2222222-2-2-2-200000000-2-22222-2-20000000000000000
χ782222-2-2-2-222-2-2-2-2-2-2222200000000-2-22222-2-20000000000000000-2-2-2-22222-2-2222222-2-2-2-20000000022-2-2-2-2220000000000000000
χ792222-2-2-2-2-2-222-2-222-2-2222i2i−2i−2i−2i−2i2i2i000000000000000000000000-2-2-2-2222222-2-222-2-222-2-2−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ802222-2-2-2-2-2-222-2-222-2-222−2i−2i2i2i2i2i−2i−2i000000000000000000000000-2-2-2-2222222-2-222-2-222-2-22i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ812-22-22i2i−2i−2i00002-200002i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+ii2−i2i2−i22−22−2002ζ3−2ζ3002ζ−2ζ00000000-22-22−2i−2i2i2i0000-220000−2i2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−i2i2−i2i2−22−2200−2ζ32ζ300−2ζ2ζ00000000
χ822-22-22i2i−2i−2i00002-200002i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−i2i2−i2i2−22−2200−2ζ32ζ300−2ζ2ζ00000000-22-22−2i−2i2i2i0000-220000−2i2i−1−i1+i−1−i1+i−1+i1−i−1+i1−ii2−i2i2−i22−22−2002ζ3−2ζ3002ζ−2ζ00000000
χ832-22-22i2i−2i−2i00002-200002i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−ii2−i2i2−i22−22−200−2ζ32ζ300−2ζ2ζ00000000-22-22−2i−2i2i2i0000-220000−2i2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−i2i2−i2i2−22−22002ζ3−2ζ3002ζ−2ζ00000000
χ842-22-22i2i−2i−2i00002-200002i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−i2i2−i2i2−22−22002ζ3−2ζ3002ζ−2ζ00000000-22-22−2i−2i2i2i0000-220000−2i2i1+i−1−i1+i−1−i1−i−1+i1−i−1+ii2−i2i2−i22−22−200−2ζ32ζ300−2ζ2ζ00000000
χ852-22-22i2i−2i−2i0000-220000−2i2i1+i−1−i−1−i1+i1−i−1+i−1+i1−ii2−i2−i2i22−2−222ζ3−2ζ3002ζ−2ζ0000000000-22-22−2i−2i2i2i00002-200002i−2i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−i2i2i2−i2−222−2−2ζ32ζ300−2ζ2ζ0000000000
χ862-22-22i2i−2i−2i0000-220000−2i2i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−i2i2i2−i2−222−2−2ζ32ζ300−2ζ2ζ0000000000-22-22−2i−2i2i2i00002-200002i−2i−1−i1+i1+i−1−i−1+i1−i1−i−1+ii2−i2−i2i22−2−222ζ3−2ζ3002ζ−2ζ0000000000
χ872-22-22i2i−2i−2i0000-220000−2i2i−1−i1+i1+i−1−i−1+i1−i1−i−1+ii2−i2−i2i22−2−22−2ζ32ζ300−2ζ2ζ0000000000-22-22−2i−2i2i2i00002-200002i−2i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−i2i2i2−i2−222−22ζ3−2ζ3002ζ−2ζ0000000000
χ882-22-22i2i−2i−2i0000-220000−2i2i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−i2i2i2−i2−222−22ζ3−2ζ3002ζ−2ζ0000000000-22-22−2i−2i2i2i00002-200002i−2i1+i−1−i−1−i1+i1−i−1+i−1+i1−ii2−i2−i2i22−2−22−2ζ32ζ300−2ζ2ζ0000000000
χ892-22-2−2i−2i2i2i00002-20000−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−ii2−i2i2−i2−22−22002ζ−2ζ002ζ3−2ζ300000000-22-222i2i−2i−2i0000-2200002i−2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−i2i2−i2i22−22−200−2ζ2ζ00−2ζ32ζ300000000
χ902-22-2−2i−2i2i2i00002-20000−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−i2i2−i2i22−22−200−2ζ2ζ00−2ζ32ζ300000000-22-222i2i−2i−2i0000-2200002i−2i−1+i1−i−1+i1−i−1−i1+i−1−i1+ii2−i2i2−i2−22−22002ζ−2ζ002ζ3−2ζ300000000
χ912-22-2−2i−2i2i2i00002-20000−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+ii2−i2i2−i2−22−2200−2ζ2ζ00−2ζ32ζ300000000-22-222i2i−2i−2i0000-2200002i−2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−i2i2−i2i22−22−2002ζ−2ζ002ζ3−2ζ300000000
χ922-22-2−2i−2i2i2i00002-20000−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−i2i2−i2i22−22−2002ζ−2ζ002ζ3−2ζ300000000-22-222i2i−2i−2i0000-2200002i−2i1−i−1+i1−i−1+i1+i−1−i1+i−1−ii2−i2i2−i2−22−2200−2ζ2ζ00−2ζ32ζ300000000
χ932-22-2−2i−2i2i2i0000-2200002i−2i1−i−1+i−1+i1−i1+i−1−i−1−i1+ii2−i2−i2i2−222−22ζ−2ζ002ζ3−2ζ30000000000-22-222i2i−2i−2i00002-20000−2i2i−1+i1−i1−i−1+i−1−i1+i1+i−1−i−i2i2i2−i22−2−22−2ζ2ζ00−2ζ32ζ30000000000
χ942-22-2−2i−2i2i2i0000-2200002i−2i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−i2i2i2−i22−2−22−2ζ2ζ00−2ζ32ζ30000000000-22-222i2i−2i−2i00002-20000−2i2i−1+i1−i1−i−1+i−1−i1+i1+i−1−ii2−i2−i2i2−222−22ζ−2ζ002ζ3−2ζ30000000000
χ952-22-2−2i−2i2i2i0000-2200002i−2i−1+i1−i1−i−1+i−1−i1+i1+i−1−ii2−i2−i2i2−222−2−2ζ2ζ00−2ζ32ζ30000000000-22-222i2i−2i−2i00002-20000−2i2i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−i2i2i2−i22−2−222ζ−2ζ002ζ3−2ζ30000000000
χ962-22-2−2i−2i2i2i0000-2200002i−2i−1+i1−i1−i−1+i−1−i1+i1+i−1−i−i2i2i2−i22−2−222ζ−2ζ002ζ3−2ζ30000000000-22-222i2i−2i−2i00002-20000−2i2i1−i−1+i−1+i1−i1+i−1−i−1−i1+ii2−i2−i2i2−222−2−2ζ2ζ00−2ζ32ζ30000000000
χ9744-4-44-44-44-44-40000000000000000000000000000000000000000-4-444-44-44-44-440000000000000000000000000000000000000000
χ9844-4-44-44-4-44-440000000000000000000000000000000000000000-4-444-44-444-44-40000000000000000000000000000000000000000
χ9944-4-4-44-444-4-440000000000000000000000000000000000000000-4-4444-44-4-444-40000000000000000000000000000000000000000
χ10044-4-4-44-44-444-40000000000000000000000000000000000000000-4-4444-44-44-4-440000000000000000000000000000000000000000
χ1014-4-444i−4i−4i4i0000004i−4i4-40000000000000000000000000000000000-444-4−4i4i4i−4i000000−4i4i-440000000000000000000000000000000000
χ1024-4-444i−4i−4i4i000000−4i4i-440000000000000000000000000000000000-444-4−4i4i4i−4i0000004i−4i4-40000000000000000000000000000000000
χ1034-4-44−4i4i4i−4i0000004i−4i-440000000000000000000000000000000000-444-44i−4i−4i4i000000−4i4i4-40000000000000000000000000000000000
χ1044-4-44−4i4i4i−4i000000−4i4i4-40000000000000000000000000000000000-444-44i−4i−4i4i0000004i−4i-440000000000000000000000000000000000

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