Finite Group Databasebeta

← Group #10690729

Character table — Group #10690729

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222222222222244444444444488888888888888888888888888888888888824242424242424242424242424242424
order1222222222344444444666666666661212121212121212224466668888888812121212242424242424242424242424242424242444444488888888
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
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ911111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-11111ii−i−iii−i−i-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i
χ1011111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-11111ii−i−iii−i−i-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111−i−iii−i−iii
χ1111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-11111−i−iii−i−iii-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii
χ1211111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-11111−i−iii−i−iii-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111ii−i−iii−i−i
χ1311111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111ii−i−i−i−iii
χ1411111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1−i−iiiii−i−i
χ1511111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111−i−iiiii−i−i
χ1611111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1ii−i−i−i−iii
χ172222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ182222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111111111110000000000000000
χ192222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211112222-2-2-2-21111-1-1-1-1-1-1-1-1111111110000000000000000
χ202222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-22222111111111111-1-1-1-1-1-1-1-10000000000000000
χ212222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-11111111122-2-2-1-1-1-12i2i−2i−2i2i2i−2i−2i1111−i−i−i−iiiii−i−i−i−iiiii0000000000000000
χ222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-11111111122-2-2-1-1-1-1−2i−2i2i2i−2i−2i2i2i1111iiii−i−i−i−iiiii−i−i−i−i0000000000000000
χ232222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-2-22211112i2i−2i−2i−2i−2i2i2i-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000
χ242222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-2-2221111−2i−2i2i2i2i2i−2i−2i-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii0000000000000000
χ25222222-2-2-2-222222-2-2-2-22222222-2-2-2-222-2-222-2-20000000000000000000000000000000000000000000000002i−2i2i−2i
χ26222222-2-2-2-222222-2-2-2-22222222-2-2-2-222-2-222-2-2000000000000000000000000000000000000000000000000−2i2i−2i2i
χ27222222-2-2-2-22-2-2-2-222222222222-2-2-2-2-2-222-2-2220000000000000000000000000000000000000000000000002-2-22
χ28222222-2-2-2-22-2-2-2-222222222222-2-2-2-2-2-222-2-222000000000000000000000000000000000000000000000000-222-2
χ292222-2-222-2-2222-2-222-2-22-2-2-2-22222-2-22222-2-2-2-20000000000002i−2i2i−2i0000000000002i2i−2i−2i2i2i−2i−2i0000000000000000
χ302222-2-222-2-2222-2-222-2-22-2-2-2-22222-2-22222-2-2-2-2000000000000−2i2i−2i2i000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ312222-2-222-2-22-2-222-2-2222-2-2-2-22222-2-2-2-2-2-222220000000000002-2-2200000000000022-2-2-2-2220000000000000000
χ322222-2-222-2-22-2-222-2-2222-2-2-2-22222-2-2-2-2-2-22222000000000000-222-2000000000000-2-22222-2-20000000000000000
χ332222-2-222-2-2-122-2-222-2-2-11111-1-1-1-111-1-1-1-111110000−i3−i3i3i300002i−2i2i−2i−i3−i3i3i333−3−333−3−3−i−iii−i−iii0000000000000000
χ342222-2-222-2-2-122-2-222-2-2-11111-1-1-1-111-1-1-1-111110000−i3−i3i3i30000−2i2i−2i2i−i3−i3i3i3−3−333−3−333ii−i−iii−i−i0000000000000000
χ352222-2-222-2-2-122-2-222-2-2-11111-1-1-1-111-1-1-1-111110000i3i3−i3−i300002i−2i2i−2ii3i3−i3−i3−3−333−3−333−i−iii−i−iii0000000000000000
χ362222-2-222-2-2-122-2-222-2-2-11111-1-1-1-111-1-1-1-111110000i3i3−i3−i30000−2i2i−2i2ii3i3−i3−i333−3−333−3−3ii−i−iii−i−i0000000000000000
χ372222-2-222-2-2-1-2-222-2-222-11111-1-1-1-1111111-1-1-1-10000−i3−i3i3i300002-2-22i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3-1-11111-1-10000000000000000
χ382222-2-222-2-2-1-2-222-2-222-11111-1-1-1-1111111-1-1-1-10000−i3−i3i3i30000-222-2i3i3−i3−i3i3i3−i3−i3−i3−i3i3i311-1-1-1-1110000000000000000
χ392222-2-222-2-2-1-2-222-2-222-11111-1-1-1-1111111-1-1-1-10000i3i3−i3−i300002-2-22−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3-1-11111-1-10000000000000000
χ402222-2-222-2-2-1-2-222-2-222-11111-1-1-1-1111111-1-1-1-10000i3i3−i3−i30000-222-2−i3−i3i3i3−i3−i3i3i3i3i3−i3−i311-1-1-1-1110000000000000000
χ412222-2-2-2-222222-2-2-2-2222-2-2-2-222-2-22222-2-2-2-2220000000000000000000000000000000000002-22-2000000000000
χ422222-2-2-2-222222-2-2-2-2222-2-2-2-222-2-22222-2-2-2-222000000000000000000000000000000000000-22-22000000000000
χ432222-2-2-2-2222-2-22222-2-22-2-2-2-222-2-222-2-22222-2-20000000000000000000000000000000000002-2-22000000000000
χ442222-2-2-2-2222-2-22222-2-22-2-2-2-222-2-222-2-22222-2-2000000000000000000000000000000000000-222-2000000000000
χ4522-2-22-22-22-222i−2i2i−2i2i−2i2i−2i222-2-2-2-22-22-22i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000
χ4622-2-22-22-22-222i−2i2i−2i2i−2i2i−2i222-2-2-2-22-22-22i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000
χ4722-2-22-22-22-22−2i2i−2i2i−2i2i−2i2i222-2-2-2-22-22-2−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000
χ4822-2-22-22-22-22−2i2i−2i2i−2i2i−2i2i222-2-2-2-22-22-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000
χ4922-2-22-2-22-2222i−2i2i−2i−2i2i−2i2i222-2-2-2-2-22-222i−2i−2i2i2i−2i−2i2i2-22i−2i2-22-2000000002i−2i2i−2i00000000000000000000000000000000
χ5022-2-22-2-22-2222i−2i2i−2i−2i2i−2i2i222-2-2-2-2-22-222i−2i−2i2i2i−2i−2i2i-22−2i2i-22-2200000000−2i2i−2i2i00000000000000000000000000000000
χ5122-2-22-2-22-222−2i2i−2i2i2i−2i2i−2i222-2-2-2-2-22-22−2i2i2i−2i−2i2i2i−2i2-2−2i2i2-22-200000000−2i2i−2i2i00000000000000000000000000000000
χ5222-2-22-2-22-222−2i2i−2i2i2i−2i2i−2i222-2-2-2-2-22-22−2i2i2i−2i−2i2i2i−2i-222i−2i-22-22000000002i−2i2i−2i00000000000000000000000000000000
χ5322-2-22-2-22-22-12i−2i2i−2i−2i2i−2i2i-1-1-111111-11-1−iii−i−iii−i2-22i−2i-11-1100000000−ii−ii−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ130000000000000000
χ5422-2-22-2-22-22-12i−2i2i−2i−2i2i−2i2i-1-1-111111-11-1−iii−i−iii−i2-22i−2i-11-1100000000−ii−iiζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ130000000000000000
χ5522-2-22-2-22-22-12i−2i2i−2i−2i2i−2i2i-1-1-111111-11-1−iii−i−iii−i-22−2i2i1-11-100000000i−ii−i−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ130000000000000000
χ5622-2-22-2-22-22-12i−2i2i−2i−2i2i−2i2i-1-1-111111-11-1−iii−i−iii−i-22−2i2i1-11-100000000i−ii−iζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ130000000000000000
χ5722-2-22-2-22-22-1−2i2i−2i2i2i−2i2i−2i-1-1-111111-11-1i−i−iii−i−ii2-2−2i2i-11-1100000000i−ii−iζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ230000000000000000
χ5822-2-22-2-22-22-1−2i2i−2i2i2i−2i2i−2i-1-1-111111-11-1i−i−iii−i−ii2-2−2i2i-11-1100000000i−ii−i−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ230000000000000000
χ5922-2-22-2-22-22-1−2i2i−2i2i2i−2i2i−2i-1-1-111111-11-1i−i−iii−i−ii-222i−2i1-11-100000000−ii−iiζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ230000000000000000
χ6022-2-22-2-22-22-1−2i2i−2i2i2i−2i2i−2i-1-1-111111-11-1i−i−iii−i−ii-222i−2i1-11-100000000−ii−ii−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ230000000000000000
χ6122-2-2-222-2-2222i−2i−2i2i2i−2i−2i2i2-2-222-2-22-2-222i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000000000002-22i−2i00000000
χ6222-2-2-222-2-2222i−2i−2i2i2i−2i−2i2i2-2-222-2-22-2-222i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000000000-22−2i2i00000000
χ6322-2-2-222-2-222−2i2i2i−2i−2i2i2i−2i2-2-222-2-22-2-22−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000000000002-2−2i2i00000000
χ6422-2-2-222-2-222−2i2i2i−2i−2i2i2i−2i2-2-222-2-22-2-22−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000000000-222i−2i00000000
χ6522-2-2-22-222-222i−2i−2i2i−2i2i2i−2i2-2-222-2-2-222-22i−2i−2i2i−2i2i2i−2i00000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ23000000000000000000000000
χ6622-2-2-22-222-222i−2i−2i2i−2i2i2i−2i2-2-222-2-2-222-22i−2i−2i2i−2i2i2i−2i000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23000000000000000000000000
χ6722-2-2-22-222-22−2i2i2i−2i2i−2i−2i2i2-2-222-2-2-222-2−2i2i2i−2i2i−2i−2i2i000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13000000000000000000000000
χ6822-2-2-22-222-22−2i2i2i−2i2i−2i−2i2i2-2-222-2-2-222-2−2i2i2i−2i2i−2i−2i2i00000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ13000000000000000000000000
χ6922-2-2-22-222-2-12i−2i−2i2i−2i2i2i−2i-111-1-1111-1-11−iii−ii−i−ii0000−i3i3i3−i3−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300003−3−33ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ230000000000000000
χ7022-2-2-22-222-2-12i−2i−2i2i−2i2i2i−2i-111-1-1111-1-11−iii−ii−i−ii0000−i3i3i3−i32ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300003−3−33−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ230000000000000000
χ7122-2-2-22-222-2-12i−2i−2i2i−2i2i2i−2i-111-1-1111-1-11−iii−ii−i−ii0000i3−i3−i3i3−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000−333−3ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ230000000000000000
χ7222-2-2-22-222-2-12i−2i−2i2i−2i2i2i−2i-111-1-1111-1-11−iii−ii−i−ii0000i3−i3−i3i32ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000−333−3−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ230000000000000000
χ7322-2-2-22-222-2-1−2i2i2i−2i2i−2i−2i2i-111-1-1111-1-11i−i−ii−iii−i0000−i3i3i3−i32ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000−333−3−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ130000000000000000
χ7422-2-2-22-222-2-1−2i2i2i−2i2i−2i−2i2i-111-1-1111-1-11i−i−ii−iii−i0000−i3i3i3−i3−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000−333−3ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ130000000000000000
χ7522-2-2-22-222-2-1−2i2i2i−2i2i−2i−2i2i-111-1-1111-1-11i−i−ii−iii−i0000i3−i3−i3i32ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300003−3−33−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ130000000000000000
χ7622-2-2-22-222-2-1−2i2i2i−2i2i−2i−2i2i-111-1-1111-1-11i−i−ii−iii−i0000i3−i3−i3i3−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300003−3−33ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ130000000000000000
χ77444444-4-4-4-4-24444-4-4-4-4-2-2-2-2-2-2-22222-2-222-2-2220000000000000000000000000000000000000000000000000000
χ78444444-4-4-4-4-2-4-4-4-44444-2-2-2-2-2-2-2222222-2-222-2-20000000000000000000000000000000000000000000000000000
χ794444-4-4-4-444-244-4-4-4-444-22222-2-222-2-2-2-22222-2-20000000000000000000000000000000000000000000000000000
χ804444-4-4-4-444-2-4-44444-4-4-22222-2-222-2-222-2-2-2-2220000000000000000000000000000000000000000000000000000
χ8144-4-44-44-44-4-24i−4i4i−4i4i−4i4i−4i-2-2-22222-22-22−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000
χ8244-4-44-44-44-4-2−4i4i−4i4i−4i4i−4i4i-2-2-22222-22-222i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000
χ8344-4-4-444-4-44-24i−4i−4i4i4i−4i−4i4i-222-2-222-222-2−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000
χ8444-4-4-444-4-44-2−4i4i4i−4i−4i4i4i−4i-222-2-222-222-22i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000
χ858-88-8000000800000000-800008-80000000000000000000000000000000000000000000000000000000000000000
χ868-88-8000000-4000000004−4i34i3−4i34i3-440000000000000000000000000000000000000000000000000000000000000000
χ878-88-8000000-40000000044i3−4i34i3−4i3-440000000000000000000000000000000000000000000000000000000000000000
χ888-8-88000000800000000-80000-880000000000000000000000000000000000000000000000000000000000000000
χ898-8-88000000-4000000004−4i34i34i3−4i34-40000000000000000000000000000000000000000000000000000000000000000
χ908-8-88000000-40000000044i3−4i3−4i34i34-40000000000000000000000000000000000000000000000000000000000000000

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