Finite Group Databasebeta

← Group #212821

Character table — Group #212821

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111111111111222222222222222222222222222222224444444444444444444444444444444444444444444488888888888888881616161616161616
order12222222444444444444444444444444444444448888888888888888888888888888888888888888888888888888224444448888888824448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ121111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ1711111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i1-11-1i−ii−i
χ1811111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111−i−iii−i−iii-11-11−ii−ii
χ1911111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1ii−i−iii−i−i-11-11−ii−ii
χ2011111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111−i−iii−i−iii1-11-1i−ii−i
χ2111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii1-11-1−ii−ii
χ2211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111ii−i−iii−i−i-11-11i−ii−i
χ2311111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1−i−iii−i−iii-11-11i−ii−i
χ2411111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111ii−i−iii−i−i1-11-1−ii−ii
χ2511111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiii−i−i1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111ii−i−i−i−iii1-1-11i−i−ii
χ2611111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiii−i−i1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1−i−iiiii−i−i-111-1−iii−i
χ2711111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiii−i−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111ii−i−i−i−iii-111-1−iii−i
χ2811111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiii−i−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1−i−iiiii−i−i1-1-11i−i−ii
χ2911111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−iii1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111−i−iiiii−i−i1-1-11−iii−i
χ3011111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−iii1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1ii−i−i−i−iii-111-1i−i−ii
χ3111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−iii-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111−i−iiiii−i−i-111-1i−i−ii
χ3211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−iii-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1ii−i−i−i−iii1-1-11−iii−i
χ3322222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-222-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000
χ3422222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222222200000000000000000000000000000000000000000000000000000000
χ352222222222222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-222-2-222-2-2-2-200000000000000000000000000000000000000000000000000000000
χ362222222222222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-2222200000000000000000000000000000000000000000000000000000000
χ3722222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-222222i2i2i2i−2i−2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000
χ3822222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-22222−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222222i2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000
χ41222-2-22-2-22i2i−2i−2i2i2i−2i−2i00002i2i−2i−2i000022-2-2000000002ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ3002ζ3−2ζ3002ζ−2ζ000022−2−2i2i2−i2−i2i2i2−i2−i222−2−21+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i000000000000000000000000
χ42222-2-22-2-22i2i−2i−2i2i2i−2i−2i00002i2i−2i−2i000022-2-2000000002ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ3002ζ3−2ζ3002ζ−2ζ0000−2−222−i2−i2i2i2−i2−i2i2i2−2−222−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i000000000000000000000000
χ43222-2-22-2-22i2i−2i−2i2i2i−2i−2i00002i2i−2i−2i000022-2-200000000−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ300−2ζ32ζ300−2ζ2ζ000022−2−2i2i2−i2−i2i2i2−i2−i222−2−2−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i000000000000000000000000
χ44222-2-22-2-22i2i−2i−2i2i2i−2i−2i00002i2i−2i−2i000022-2-200000000−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ300−2ζ32ζ300−2ζ2ζ0000−2−222−i2−i2i2i2−i2−i2i2i2−2−2221+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i000000000000000000000000
χ45222-2-22-2-22i2i−2i−2i2i2i−2i−2i0000−2i−2i2i2i0000-2-222000000002ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ300−2ζ32ζ300−2ζ2ζ000022−2−2i2i2−i2−i2−i2−i2i2i2−2−2221+i1+i−1−i−1−i1−i1−i−1+i−1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i000000000000000000000000
χ46222-2-22-2-22i2i−2i−2i2i2i−2i−2i0000−2i−2i2i2i0000-2-222000000002ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ300−2ζ32ζ300−2ζ2ζ0000−2−222−i2−i2i2i2i2i2−i2−i222−2−2−1−i−1−i1+i1+i−1+i−1+i1−i1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i000000000000000000000000
χ47222-2-22-2-22i2i−2i−2i2i2i−2i−2i0000−2i−2i2i2i0000-2-22200000000−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ3002ζ3−2ζ3002ζ−2ζ000022−2−2i2i2−i2−i2−i2−i2i2i2−2−222−1−i−1−i1+i1+i−1+i−1+i1−i1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i000000000000000000000000
χ48222-2-22-2-22i2i−2i−2i2i2i−2i−2i0000−2i−2i2i2i0000-2-22200000000−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ3002ζ3−2ζ3002ζ−2ζ0000−2−222−i2−i2i2i2i2i2−i2−i222−2−21+i1+i−1−i−1−i1−i1−i−1+i−1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i000000000000000000000000
χ49222-2-22-2-2−2i−2i2i2i−2i−2i2i2i00002i2i−2i−2i0000-2-222000000002ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ00−2ζ2ζ00−2ζ32ζ3000022−2−2−i2−i2i2i2i2i2−i2−i2−2−222−1+i−1+i1−i1−i−1−i−1−i1+i1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i000000000000000000000000
χ50222-2-22-2-2−2i−2i2i2i−2i−2i2i2i00002i2i−2i−2i0000-2-222000000002ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ00−2ζ2ζ00−2ζ32ζ30000−2−222i2i2−i2−i2−i2−i2i2i222−2−21−i1−i−1+i−1+i1+i1+i−1−i−1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i000000000000000000000000
χ51222-2-22-2-2−2i−2i2i2i−2i−2i2i2i00002i2i−2i−2i0000-2-22200000000−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ002ζ−2ζ002ζ3−2ζ3000022−2−2−i2−i2i2i2i2i2−i2−i2−2−2221−i1−i−1+i−1+i1+i1+i−1−i−1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i000000000000000000000000
χ52222-2-22-2-2−2i−2i2i2i−2i−2i2i2i00002i2i−2i−2i0000-2-22200000000−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ002ζ−2ζ002ζ3−2ζ30000−2−222i2i2−i2−i2−i2−i2i2i222−2−2−1+i−1+i1−i1−i−1−i−1−i1+i1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i000000000000000000000000
χ53222-2-22-2-2−2i−2i2i2i−2i−2i2i2i0000−2i−2i2i2i000022-2-2000000002ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ002ζ−2ζ002ζ3−2ζ3000022−2−2−i2−i2i2i2−i2−i2i2i222−2−2−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i000000000000000000000000
χ54222-2-22-2-2−2i−2i2i2i−2i−2i2i2i0000−2i−2i2i2i000022-2-2000000002ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ002ζ−2ζ002ζ3−2ζ30000−2−222i2i2−i2−i2i2i2−i2−i2−2−2221−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i000000000000000000000000
χ55222-2-22-2-2−2i−2i2i2i−2i−2i2i2i0000−2i−2i2i2i000022-2-200000000−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ00−2ζ2ζ00−2ζ32ζ3000022−2−2−i2−i2i2i2−i2−i2i2i222−2−21−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i000000000000000000000000
χ56222-2-22-2-2−2i−2i2i2i−2i−2i2i2i0000−2i−2i2i2i000022-2-200000000−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ00−2ζ2ζ00−2ζ32ζ30000−2−222i2i2−i2−i2i2i2−i2−i2−2−222−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i000000000000000000000000
χ5722-22-2-22-22i−2i2i−2i2i−2i2i−2i22-2-22-22-22i2i−2i−2i2i−2i2i−2i22-2-22i2i−2i−2i00000000000000000000000000000000000000000000000000002-22i−2i2-22i−2i0000000000000000
χ5822-22-2-22-22i−2i2i−2i2i−2i2i−2i22-2-22-22-22i2i−2i−2i2i−2i2i−2i22-2-22i2i−2i−2i0000000000000000000000000000000000000000000000000000-22−2i2i-22−2i2i0000000000000000
χ5922-22-2-22-22i−2i2i−2i2i−2i2i−2i22-2-2-22-222i2i−2i−2i−2i2i−2i2i-2-222−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000002ζ−2ζ2ζ3−2ζ32ζ−2ζ2ζ3−2ζ300000000
χ6022-22-2-22-22i−2i2i−2i2i−2i2i−2i22-2-2-22-222i2i−2i−2i−2i2i−2i2i-2-222−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000−2ζ2ζ−2ζ32ζ3−2ζ2ζ−2ζ32ζ300000000
χ6122-22-2-22-22i−2i2i−2i2i−2i2i−2i-2-2222-22-2−2i−2i2i2i2i−2i2i−2i-2-222−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000002ζ−2ζ2ζ3−2ζ3−2ζ2ζ−2ζ32ζ300000000
χ6222-22-2-22-22i−2i2i−2i2i−2i2i−2i-2-2222-22-2−2i−2i2i2i2i−2i2i−2i-2-222−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000−2ζ2ζ−2ζ32ζ32ζ−2ζ2ζ3−2ζ300000000
χ6322-22-2-22-22i−2i2i−2i2i−2i2i−2i-2-222-22-22−2i−2i2i2i−2i2i−2i2i22-2-22i2i−2i−2i00000000000000000000000000000000000000000000000000002-22i−2i-22−2i2i0000000000000000
χ6422-22-2-22-22i−2i2i−2i2i−2i2i−2i-2-222-22-22−2i−2i2i2i−2i2i−2i2i22-2-22i2i−2i−2i0000000000000000000000000000000000000000000000000000-22−2i2i2-22i−2i0000000000000000
χ6522-22-2-22-2−2i2i−2i2i−2i2i−2i2i22-2-22-22-2−2i−2i2i2i−2i2i−2i2i22-2-2−2i−2i2i2i00000000000000000000000000000000000000000000000000002-2−2i2i2-2−2i2i0000000000000000
χ6622-22-2-22-2−2i2i−2i2i−2i2i−2i2i22-2-22-22-2−2i−2i2i2i−2i2i−2i2i22-2-2−2i−2i2i2i0000000000000000000000000000000000000000000000000000-222i−2i-222i−2i0000000000000000
χ6722-22-2-22-2−2i2i−2i2i−2i2i−2i2i22-2-2-22-22−2i−2i2i2i2i−2i2i−2i-2-2222i2i−2i−2i0000000000000000000000000000000000000000000000000000000000002ζ3−2ζ32ζ−2ζ2ζ3−2ζ32ζ−2ζ00000000
χ6822-22-2-22-2−2i2i−2i2i−2i2i−2i2i22-2-2-22-22−2i−2i2i2i2i−2i2i−2i-2-2222i2i−2i−2i000000000000000000000000000000000000000000000000000000000000−2ζ32ζ3−2ζ2ζ−2ζ32ζ3−2ζ2ζ00000000
χ6922-22-2-22-2−2i2i−2i2i−2i2i−2i2i-2-2222-22-22i2i−2i−2i−2i2i−2i2i-2-2222i2i−2i−2i0000000000000000000000000000000000000000000000000000000000002ζ3−2ζ32ζ−2ζ−2ζ32ζ3−2ζ2ζ00000000
χ7022-22-2-22-2−2i2i−2i2i−2i2i−2i2i-2-2222-22-22i2i−2i−2i−2i2i−2i2i-2-2222i2i−2i−2i000000000000000000000000000000000000000000000000000000000000−2ζ32ζ3−2ζ2ζ2ζ3−2ζ32ζ−2ζ00000000
χ7122-22-2-22-2−2i2i−2i2i−2i2i−2i2i-2-222-22-222i2i−2i−2i2i−2i2i−2i22-2-2−2i−2i2i2i00000000000000000000000000000000000000000000000000002-2−2i2i-222i−2i0000000000000000
χ7222-22-2-22-2−2i2i−2i2i−2i2i−2i2i-2-222-22-222i2i−2i−2i2i−2i2i−2i22-2-2−2i−2i2i2i0000000000000000000000000000000000000000000000000000-222i−2i2-2−2i2i0000000000000000
χ732-2-2222-2-22i2i−2i−2i−2i−2i2i2i2i−2i2i−2i00002-22-20000000000002ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ2ζ−2ζ002ζ3−2ζ30000002−22−2i2−i2i2−i2i2−i2i2−i22−22−21−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000000000000000
χ742-2-2222-2-22i2i−2i−2i−2i−2i2i2i2i−2i2i−2i00002-22-20000000000002ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ2ζ−2ζ002ζ3−2ζ3000000−22−22−i2i2−i2i2−i2i2−i2i2−22−22−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000000000000000
χ752-2-2222-2-22i2i−2i−2i−2i−2i2i2i2i−2i2i−2i00002-22-2000000000000−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ−2ζ2ζ00−2ζ32ζ30000002−22−2i2−i2i2−i2i2−i2i2−i22−22−2−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000000000000000
χ762-2-2222-2-22i2i−2i−2i−2i−2i2i2i2i−2i2i−2i00002-22-2000000000000−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ−2ζ2ζ00−2ζ32ζ3000000−22−22−i2i2−i2i2−i2i2−i2i2−22−221−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000000000000000
χ772-2-2222-2-22i2i−2i−2i−2i−2i2i2i−2i2i−2i2i0000-22-220000000000002ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ−2ζ2ζ00−2ζ32ζ30000002−22−2i2−i2i2−i2−i2i2−i2i2−22−221−i−1+i1−i−1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000000000000000
χ782-2-2222-2-22i2i−2i−2i−2i−2i2i2i−2i2i−2i2i0000-22-220000000000002ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ−2ζ2ζ00−2ζ32ζ3000000−22−22−i2i2−i2i2i2−i2i2−i22−22−2−1+i1−i−1+i1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000000000000000
χ792-2-2222-2-22i2i−2i−2i−2i−2i2i2i−2i2i−2i2i0000-22-22000000000000−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ2ζ−2ζ002ζ3−2ζ30000002−22−2i2−i2i2−i2−i2i2−i2i2−22−22−1+i1−i−1+i1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000000000000000
χ802-2-2222-2-22i2i−2i−2i−2i−2i2i2i−2i2i−2i2i0000-22-22000000000000−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ2ζ−2ζ002ζ3−2ζ3000000−22−22−i2i2−i2i2i2−i2i2−i22−22−21−i−1+i1−i−1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000000000000000
χ812-2-2222-2-2−2i−2i2i2i2i2i−2i−2i2i−2i2i−2i0000-22-220000000000002ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ3−2ζ32ζ300−2ζ2ζ0000002−22−2−i2i2−i2i2i2−i2i2−i2−22−22−1−i1+i−1−i1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000000000000000
χ822-2-2222-2-2−2i−2i2i2i2i2i−2i−2i2i−2i2i−2i0000-22-220000000000002ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ3−2ζ32ζ300−2ζ2ζ000000−22−22i2−i2i2−i2−i2i2−i2i22−22−21+i−1−i1+i−1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000000000000000
χ832-2-2222-2-2−2i−2i2i2i2i2i−2i−2i2i−2i2i−2i0000-22-22000000000000−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ32ζ3−2ζ3002ζ−2ζ0000002−22−2−i2i2−i2i2i2−i2i2−i2−22−221+i−1−i1+i−1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000000000000000
χ842-2-2222-2-2−2i−2i2i2i2i2i−2i−2i2i−2i2i−2i0000-22-22000000000000−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ32ζ3−2ζ3002ζ−2ζ000000−22−22i2−i2i2−i2−i2i2−i2i22−22−2−1−i1+i−1−i1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000000000000000
χ852-2-2222-2-2−2i−2i2i2i2i2i−2i−2i−2i2i−2i2i00002-22-20000000000002ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ32ζ3−2ζ3002ζ−2ζ0000002−22−2−i2i2−i2i2−i2i2−i2i22−22−2−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000000000000000
χ862-2-2222-2-2−2i−2i2i2i2i2i−2i−2i−2i2i−2i2i00002-22-20000000000002ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ32ζ3−2ζ3002ζ−2ζ000000−22−22i2−i2i2−i2i2−i2i2−i2−22−221+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000000000000000
χ872-2-2222-2-2−2i−2i2i2i2i2i−2i−2i−2i2i−2i2i00002-22-2000000000000−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ3−2ζ32ζ300−2ζ2ζ0000002−22−2−i2i2−i2i2−i2i2−i2i22−22−21+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000000000000000
χ882-2-2222-2-2−2i−2i2i2i2i2i−2i−2i−2i2i−2i2i00002-22-2000000000000−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ3−2ζ32ζ300−2ζ2ζ000000−22−22i2−i2i2−i2i2−i2i2−i2−22−22−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000000000000000
χ892-2-2-2-22222222-2-2-2-200000000000000002-22-22-22-22i−2i−2i2i−2i2i2i−2i000000002i−2i2i−2i000000002-2-222-2-22000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ902-2-2-2-22222222-2-2-2-200000000000000002-22-22-22-22i−2i−2i2i−2i2i2i−2i000000002i−2i2i−2i00000000-222-2-222-200000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ912-2-2-2-22222222-2-2-2-200000000000000002-22-22-22-2−2i2i2i−2i2i−2i−2i2i00000000−2i2i−2i2i000000002-2-222-2-2200000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ922-2-2-2-22222222-2-2-2-200000000000000002-22-22-22-2−2i2i2i−2i2i−2i−2i2i00000000−2i2i−2i2i00000000-222-2-222-2000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ932-2-2-2-22222222-2-2-2-20000000000000000-22-22-22-222i−2i−2i2i−2i2i2i−2i00000000−2i2i−2i2i2-2-222-2-2200000000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000
χ942-2-2-2-22222222-2-2-2-20000000000000000-22-22-22-222i−2i−2i2i−2i2i2i−2i00000000−2i2i−2i2i-222-2-222-2000000002i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ952-2-2-2-22222222-2-2-2-20000000000000000-22-22-22-22−2i2i2i−2i2i−2i−2i2i000000002i−2i2i−2i2-2-222-2-22000000002i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ962-2-2-2-22222222-2-2-2-20000000000000000-22-22-22-22−2i2i2i−2i2i−2i−2i2i000000002i−2i2i−2i-222-2-222-200000000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000
χ972-2-2-2-2222-2-2-2-2222200000000000000002-22-2-22-222-2-222-2-22000000002-2-22000000002-2-22-222-2000000002-2-222-2-22000000000000000000000000
χ982-2-2-2-2222-2-2-2-2222200000000000000002-22-2-22-222-2-222-2-22000000002-2-2200000000-222-22-2-2200000000-222-2-222-2000000000000000000000000
χ992-2-2-2-2222-2-2-2-2222200000000000000002-22-2-22-22-222-2-222-200000000-222-2000000002-2-22-222-200000000-222-2-222-2000000000000000000000000
χ1002-2-2-2-2222-2-2-2-2222200000000000000002-22-2-22-22-222-2-222-200000000-222-200000000-222-22-2-22000000002-2-222-2-22000000000000000000000000
χ1012-2-2-2-2222-2-2-2-222220000000000000000-22-222-22-22-2-222-2-2200000000-222-22-2-22-222-200000000-222-2-222-200000000000000000000000000000000
χ1022-2-2-2-2222-2-2-2-222220000000000000000-22-222-22-22-2-222-2-2200000000-222-2-222-22-2-22000000002-2-222-2-2200000000000000000000000000000000
χ1032-2-2-2-2222-2-2-2-222220000000000000000-22-222-22-2-222-2-222-2000000002-2-222-2-22-222-2000000002-2-222-2-2200000000000000000000000000000000
χ1042-2-2-2-2222-2-2-2-222220000000000000000-22-222-22-2-222-2-222-2000000002-2-22-222-22-2-2200000000-222-2-222-200000000000000000000000000000000
χ10544-4-44-4-444-4-444-4-4400004i−4i−4i4i0000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10644-4-44-4-444-4-444-4-440000−4i4i4i−4i00004i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10744-4-44-4-44-444-4-444-400004i−4i−4i4i00004i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10844-4-44-4-44-444-4-444-40000−4i4i4i−4i0000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1094-444-4-4-444-4-44-444-44i−4i−4i4i0000−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1104-444-4-4-444-4-44-444-4−4i4i4i−4i00004i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1114-444-4-4-44-444-44-4-444i−4i−4i4i00004i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1124-444-4-4-44-444-44-4-44−4i4i4i−4i0000−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1134-44-44-44-44i−4i4i−4i−4i4i−4i4i00000000000000004-4-444i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1144-44-44-44-44i−4i4i−4i−4i4i−4i4i0000000000000000-444-4−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1154-44-44-44-4−4i4i−4i4i4i−4i4i−4i00000000000000004-4-44−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1164-44-44-44-4−4i4i−4i4i4i−4i4i−4i0000000000000000-444-44i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000

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