Finite Group Databasebeta

← Group #10713394

Character table — Group #10713394

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222222222222244444444444488888888888888888888888888888888888824242424242424242424242424242424
order12442223444688888888121224242424666121212242424242424246688121216161616161616162424242448484848484848484848484848484848244488881616161616161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-11111
χ9111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-111ii−i−iii−i−i-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−iii−i−i
χ10111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-111ii−i−iii−i−i-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−iii−i−iii
χ11111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-111−i−iii−i−iii-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii−i−iii
χ12111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-111−i−iii−i−iii-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111ii−i−iii−i−i
χ13111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111−i−iiiii−i−i
χ14111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1ii−i−i−i−iii
χ15111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111ii−i−i−i−iii
χ16111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1−i−iiiii−i−i
χ172222222-1222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ182222222-1222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111111111110000000000000000
χ192222222-1222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-2112222-2-2-2-21111-1-1-1-1-1-1-1-1111111110000000000000000
χ202222222-1222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-211-2-2-2-22222111111111111-1-1-1-1-1-1-1-10000000000000000
χ212222222-1222-1-2-2-2-2-2-2-2-2-1-11111-1-1-1-1-1-111111122-1-1-2-2-1-12i2i−2i−2i2i2i−2i−2i1111−i−i−i−iiiii−i−i−i−iiiii0000000000000000
χ222222222-1222-1-2-2-2-2-2-2-2-2-1-11111-1-1-1-1-1-111111122-1-1-2-2-1-1−2i−2i2i2i−2i−2i2i2i1111iiii−i−i−i−iiiii−i−i−i−i0000000000000000
χ232222222-1222-1-2-2-2-2-2-2-2-2-1-11111-1-1-1-1-1-1111111-2-21122112i2i−2i−2i−2i−2i2i2i-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000
χ242222222-1222-1-2-2-2-2-2-2-2-2-1-11111-1-1-1-1-1-1111111-2-2112211−2i−2i2i2i2i2i−2i−2i-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii0000000000000000
χ2522222-2-222-2-222222-2-2-2-22222222-2-22-2-222-2-2-2-2000000000000000000000000000000000000000000002i−2i2i−2i0000
χ2622222-2-222-2-222222-2-2-2-22222222-2-22-2-222-2-2-2-200000000000000000000000000000000000000000000−2i2i−2i2i0000
χ2722222-2-222-2-22-2-2-2-2222222-2-2-2-22-2-22-2-2-2-22222000000000000000000000000000000000000000000002-2-220000
χ2822222-2-222-2-22-2-2-2-2222222-2-2-2-22-2-22-2-2-2-2222200000000000000000000000000000000000000000000-222-20000
χ292222-22-22-22-2222-2-222-2-222-2-2-2-2-22-2-22-22222-2-2000000002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ302222-22-22-22-2222-2-222-2-222-2-2-2-2-22-2-22-22222-2-200000000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ312222-22-22-22-22-2-222-2-222222222-22-2-22-2-2-2-2-222000000002-2-220000000022-2-2-2-222000000000000000000000000
χ322222-22-22-22-22-2-222-2-222222222-22-2-22-2-2-2-2-22200000000-222-200000000-2-22222-2-2000000000000000000000000
χ332222-22-2-1-22-2-122-2-222-2-2-1-111111-111-11-1-1-1-11100−i3i300−i3i32i−2i2i−2i0000−i3−i3i3i3−i−iii−i−iii33−3−333−3−30000000000000000
χ342222-22-2-1-22-2-122-2-222-2-2-1-111111-111-11-1-1-1-11100−i3i300−i3i3−2i2i−2i2i0000−i3−i3i3i3ii−i−iii−i−i−3−333−3−3330000000000000000
χ352222-22-2-1-22-2-122-2-222-2-2-1-111111-111-11-1-1-1-11100i3−i300i3−i32i−2i2i−2i0000i3i3−i3−i3−i−iii−i−iii−3−333−3−3330000000000000000
χ362222-22-2-1-22-2-122-2-222-2-2-1-111111-111-11-1-1-1-11100i3−i300i3−i3−2i2i−2i2i0000i3i3−i3−i3ii−i−iii−i−i33−3−333−3−30000000000000000
χ372222-22-2-1-22-2-1-2-222-2-222-1-1-1-1-1-11-111-111111-1-100−i3i300−i3i32-2-220000i3i3−i3−i3-1-11111-1-1−i3−i3i3i3i3i3−i3−i30000000000000000
χ382222-22-2-1-22-2-1-2-222-2-222-1-1-1-1-1-11-111-111111-1-100−i3i300−i3i3-222-20000i3i3−i3−i311-1-1-1-111i3i3−i3−i3−i3−i3i3i30000000000000000
χ392222-22-2-1-22-2-1-2-222-2-222-1-1-1-1-1-11-111-111111-1-100i3−i300i3−i32-2-220000−i3−i3i3i3-1-11111-1-1i3i3−i3−i3−i3−i3i3i30000000000000000
χ402222-22-2-1-22-2-1-2-222-2-222-1-1-1-1-1-11-111-111111-1-100i3−i300i3−i3-222-20000−i3−i3i3i311-1-1-1-111−i3−i3i3i3i3i3−i3−i30000000000000000
χ412222-2-222-2-22222-2-2-2-22222-2-2-2-2-2-22-2-2222-2-222000000000000000000000000000000000000002-2002-200000000
χ422222-2-222-2-22222-2-2-2-22222-2-2-2-2-2-22-2-2222-2-22200000000000000000000000000000000000000-2200-2200000000
χ432222-2-222-2-222-2-22222-2-2222222-2-22-2-22-2-222-2-2000000000000000000000000000000000000002-200-2200000000
χ442222-2-222-2-222-2-22222-2-2222222-2-22-2-22-2-222-2-200000000000000000000000000000000000000-22002-200000000
χ4522-2-22222-2-2-222i−2i2i−2i2i−2i2i−2i-2-22i2i−2i−2i222-2-2-22i−2i2i−2i2i−2i0000000000000000000000000000000000002-2002i−2i0000000000
χ4622-2-22222-2-2-222i−2i2i−2i2i−2i2i−2i-2-22i2i−2i−2i222-2-2-22i−2i2i−2i2i−2i000000000000000000000000000000000000-2200−2i2i0000000000
χ4722-2-22222-2-2-22−2i2i−2i2i−2i2i−2i2i-2-2−2i−2i2i2i222-2-2-2−2i2i−2i2i−2i2i0000000000000000000000000000000000002-200−2i2i0000000000
χ4822-2-22222-2-2-22−2i2i−2i2i−2i2i−2i2i-2-2−2i−2i2i2i222-2-2-2−2i2i−2i2i−2i2i000000000000000000000000000000000000-22002i−2i0000000000
χ4922-2-22-2-22-22222i−2i2i−2i−2i2i−2i2i-2-22i2i−2i−2i2-2-2-2222i−2i−2i2i−2i2i0000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ130000000000000000
χ5022-2-22-2-22-22222i−2i2i−2i−2i2i−2i2i-2-22i2i−2i−2i2-2-2-2222i−2i−2i2i−2i2i000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ130000000000000000
χ5122-2-22-2-22-2222−2i2i−2i2i2i−2i2i−2i-2-2−2i−2i2i2i2-2-2-222−2i2i2i−2i2i−2i000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ230000000000000000
χ5222-2-22-2-22-2222−2i2i−2i2i2i−2i2i−2i-2-2−2i−2i2i2i2-2-2-222−2i2i2i−2i2i−2i0000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ230000000000000000
χ5322-2-22-2-2-1-222-12i−2i2i−2i−2i2i−2i2i11−i−iii-1111-1-1−iii−ii−i00−i3i300i3−i300002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ133−33−3−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ130000000000000000
χ5422-2-22-2-2-1-222-12i−2i2i−2i−2i2i−2i2i11−i−iii-1111-1-1−iii−ii−i00−i3i300i3−i30000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ133−33−3ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ130000000000000000
χ5522-2-22-2-2-1-222-12i−2i2i−2i−2i2i−2i2i11−i−iii-1111-1-1−iii−ii−i00i3−i300−i3i300002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−33−33ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ130000000000000000
χ5622-2-22-2-2-1-222-12i−2i2i−2i−2i2i−2i2i11−i−iii-1111-1-1−iii−ii−i00i3−i300−i3i30000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−33−33−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ130000000000000000
χ5722-2-22-2-2-1-222-1−2i2i−2i2i2i−2i2i−2i11ii−i−i-1111-1-1i−i−ii−ii00−i3i300i3−i30000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−33−33−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ230000000000000000
χ5822-2-22-2-2-1-222-1−2i2i−2i2i2i−2i2i−2i11ii−i−i-1111-1-1i−i−ii−ii00−i3i300i3−i300002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−33−33ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ230000000000000000
χ5922-2-22-2-2-1-222-1−2i2i−2i2i2i−2i2i−2i11ii−i−i-1111-1-1i−i−ii−ii00i3−i300−i3i30000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ233−33−3ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ230000000000000000
χ6022-2-22-2-2-1-222-1−2i2i−2i2i2i−2i2i−2i11ii−i−i-1111-1-1i−i−ii−ii00i3−i300−i3i300002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ233−33−3−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ230000000000000000
χ6122-2-2-22-222-2222i−2i−2i2i2i−2i−2i2i-2-2−2i−2i2i2i-22-22-222i−2i2i−2i−2i2i000000000000000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23
χ6222-2-2-22-222-2222i−2i−2i2i2i−2i−2i2i-2-2−2i−2i2i2i-22-22-222i−2i2i−2i−2i2i0000000000000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23
χ6322-2-2-22-222-222−2i2i2i−2i−2i2i2i−2i-2-22i2i−2i−2i-22-22-22−2i2i−2i2i2i−2i0000000000000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13
χ6422-2-2-22-222-222−2i2i2i−2i−2i2i2i−2i-2-22i2i−2i−2i-22-22-22−2i2i−2i2i2i−2i000000000000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13
χ6522-2-2-2-22222-222i−2i−2i2i−2i2i2i−2i-2-2−2i−2i2i2i-2-2222-22i−2i−2i2i2i−2i2-2222i−2i-2-2000000002i−2i−2i2i00000000000000000000000000000000
χ6622-2-2-2-22222-222i−2i−2i2i−2i2i2i−2i-2-2−2i−2i2i2i-2-2222-22i−2i−2i2i2i−2i-22-2-2−2i2i2200000000−2i2i2i−2i00000000000000000000000000000000
χ6722-2-2-2-22222-22−2i2i2i−2i2i−2i−2i2i-2-22i2i−2i−2i-2-2222-2−2i2i2i−2i−2i2i2-222−2i2i-2-200000000−2i2i2i−2i00000000000000000000000000000000
χ6822-2-2-2-22222-22−2i2i2i−2i2i−2i−2i2i-2-22i2i−2i−2i-2-2222-2−2i2i2i−2i−2i2i-22-2-22i−2i22000000002i−2i−2i2i00000000000000000000000000000000
χ6922-2-2-2-22-122-2-12i−2i−2i2i−2i2i2i−2i11ii−i−i11-1-1-11−iii−i−ii2-2-1-12i−2i1100000000−iii−iζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ230000000000000000
χ7022-2-2-2-22-122-2-12i−2i−2i2i−2i2i2i−2i11ii−i−i11-1-1-11−iii−i−ii2-2-1-12i−2i1100000000−iii−i−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ230000000000000000
χ7122-2-2-2-22-122-2-12i−2i−2i2i−2i2i2i−2i11ii−i−i11-1-1-11−iii−i−ii-2211−2i2i-1-100000000i−i−iiζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ230000000000000000
χ7222-2-2-2-22-122-2-12i−2i−2i2i−2i2i2i−2i11ii−i−i11-1-1-11−iii−i−ii-2211−2i2i-1-100000000i−i−ii−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ230000000000000000
χ7322-2-2-2-22-122-2-1−2i2i2i−2i2i−2i−2i2i11−i−iii11-1-1-11i−i−iii−i2-2-1-1−2i2i1100000000i−i−ii−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ130000000000000000
χ7422-2-2-2-22-122-2-1−2i2i2i−2i2i−2i−2i2i11−i−iii11-1-1-11i−i−iii−i2-2-1-1−2i2i1100000000i−i−iiζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ130000000000000000
χ7522-2-2-2-22-122-2-1−2i2i2i−2i2i−2i−2i2i11−i−iii11-1-1-11i−i−iii−i-22112i−2i-1-100000000−iii−i−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ130000000000000000
χ7622-2-2-2-22-122-2-1−2i2i2i−2i2i−2i−2i2i11−i−iii11-1-1-11i−i−iii−i-22112i−2i-1-100000000−iii−iζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ130000000000000000
χ7744444-4-4-24-4-4-24444-4-4-4-4-2-2-2-2-2-2-222-222-2-222220000000000000000000000000000000000000000000000000000
χ7844444-4-4-24-4-4-2-4-4-4-44444-2-22222-222-22222-2-2-2-20000000000000000000000000000000000000000000000000000
χ794444-4-44-2-4-44-244-4-4-4-444-2-2222222-222-2-2-222-2-20000000000000000000000000000000000000000000000000000
χ804444-4-44-2-4-44-2-4-44444-4-4-2-2-2-2-2-222-222-222-2-2220000000000000000000000000000000000000000000000000000
χ8144-4-4444-2-4-4-4-24i−4i4i−4i4i−4i4i−4i22−2i−2i2i2i-2-2-2222−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000
χ8244-4-4444-2-4-4-4-2−4i4i−4i4i−4i4i−4i4i222i2i−2i−2i-2-2-22222i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000
χ8344-4-4-44-4-24-44-24i−4i−4i4i4i−4i−4i4i222i2i−2i−2i2-22-22-2−2i2i−2i2i2i−2i0000000000000000000000000000000000000000000000000000
χ8444-4-4-44-4-24-44-2−4i4i4i−4i−4i4i4i−4i22−2i−2i2i2i2-22-22-22i−2i2i−2i−2i2i0000000000000000000000000000000000000000000000000000
χ858-88i−8i0008000-8000000008i−8i00000000000000000000000000000000000000000000000000000000000000000000
χ868-88i−8i000-4000400000000−4i4i−4ζ7+4ζ234ζ7−4ζ234ζ5−4ζ13−4ζ5+4ζ130000000000000000000000000000000000000000000000000000000000000000
χ878-88i−8i000-4000400000000−4i4i4ζ7−4ζ23−4ζ7+4ζ23−4ζ5+4ζ134ζ5−4ζ130000000000000000000000000000000000000000000000000000000000000000
χ888-8−8i8i0008000-800000000−8i8i00000000000000000000000000000000000000000000000000000000000000000000
χ898-8−8i8i000-40004000000004i−4i4ζ5−4ζ13−4ζ5+4ζ13−4ζ7+4ζ234ζ7−4ζ230000000000000000000000000000000000000000000000000000000000000000
χ908-8−8i8i000-40004000000004i−4i−4ζ5+4ζ134ζ5−4ζ134ζ7−4ζ23−4ζ7+4ζ230000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.