Finite Group Databasebeta

← Group #10690650

Character table — Group #10690650

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222222222222244444444444488888888888888888888888888888888888824242424242424242424242424242424
order1222223444444444444666121212126612121212121212121212224466668888888812121212242424242424242424242424242424244444888888888888
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
χ9111111111-1-1-1-111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-111-1-11111ii−i−iii−i−i-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i
χ10111111111-1-1-1-111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-111-1-11111ii−i−iii−i−i-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111−i−iii−i−iii
χ11111111111-1-1-1-111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-111-1-11111−i−iii−i−iii-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii
χ12111111111-1-1-1-111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-111-1-11111−i−iii−i−iii-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111ii−i−iii−i−i
χ13111111111-1-1-1-111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111ii−i−i−i−iii
χ14111111111-1-1-1-111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1−i−iiiii−i−i
χ15111111111-1-1-1-111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111−i−iiiii−i−i
χ16111111111-1-1-1-111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1ii−i−i−i−iii
χ172222222-2-222-2-2-2-222-2-2222222222-2-2-2-222-2-2-2-20000000000002i−2i2i−2i0000000000002i2i−2i−2i2i2i−2i−2i0000000000000000
χ182222222-2-222-2-2-2-222-2-2222222222-2-2-2-222-2-2-2-2000000000000−2i2i−2i2i000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ192222222-2-2-2-222-2-2-2-222222-2-2-2-222-2-2-2-2-2-222220000000000002-2-2200000000000022-2-2-2-2220000000000000000
χ202222222-2-2-2-222-2-2-2-222222-2-2-2-222-2-2-2-2-2-22222000000000000-222-2000000000000-2-22222-2-20000000000000000
χ21222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ22222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111111111110000000000000000
χ23222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211112222-2-2-2-21111-1-1-1-1-1-1-1-1111111110000000000000000
χ24222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-22222111111111111-1-1-1-1-1-1-1-10000000000000000
χ25222222-122-2-2-2-222-2-2-2-2-1-1-11111-1-1-1-1-1-111111122-2-2-1-1-1-12i2i−2i−2i2i2i−2i−2i1111−i−i−i−iiiii−i−i−i−iiiii0000000000000000
χ26222222-122-2-2-2-222-2-2-2-2-1-1-11111-1-1-1-1-1-111111122-2-2-1-1-1-1−2i−2i2i2i−2i−2i2i2i1111iiii−i−i−i−iiiii−i−i−i−i0000000000000000
χ27222222-122-2-2-2-222-2-2-2-2-1-1-11111-1-1-1-1-1-1111111-2-22211112i2i−2i−2i−2i−2i2i2i-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000
χ28222222-122-2-2-2-222-2-2-2-2-1-1-11111-1-1-1-1-1-1111111-2-2221111−2i−2i2i2i2i2i−2i−2i-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii0000000000000000
χ29222222-1-2-222-2-2-2-222-2-2-1-1-1-1-1-1-1-1-11111-1-111110000−i3−i3i3i300002i−2i2i−2i−i3−i3i3i333−3−333−3−3−i−iii−i−iii0000000000000000
χ30222222-1-2-222-2-2-2-222-2-2-1-1-1-1-1-1-1-1-11111-1-111110000−i3−i3i3i30000−2i2i−2i2i−i3−i3i3i3−3−333−3−333ii−i−iii−i−i0000000000000000
χ31222222-1-2-222-2-2-2-222-2-2-1-1-1-1-1-1-1-1-11111-1-111110000i3i3−i3−i300002i−2i2i−2ii3i3−i3−i3−3−333−3−333−i−iii−i−iii0000000000000000
χ32222222-1-2-222-2-2-2-222-2-2-1-1-1-1-1-1-1-1-11111-1-111110000i3i3−i3−i30000−2i2i−2i2ii3i3−i3−i333−3−333−3−3ii−i−iii−i−i0000000000000000
χ33222222-1-2-2-2-222-2-2-2-222-1-1-11111-1-1111111-1-1-1-10000−i3−i3i3i300002-2-22i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3-1-11111-1-10000000000000000
χ34222222-1-2-2-2-222-2-2-2-222-1-1-11111-1-1111111-1-1-1-10000−i3−i3i3i30000-222-2i3i3−i3−i3i3i3−i3−i3−i3−i3i3i311-1-1-1-1110000000000000000
χ35222222-1-2-2-2-222-2-2-2-222-1-1-11111-1-1111111-1-1-1-10000i3i3−i3−i300002-2-22−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3-1-11111-1-10000000000000000
χ36222222-1-2-2-2-222-2-2-2-222-1-1-11111-1-1111111-1-1-1-10000i3i3−i3−i30000-222-2−i3−i3i3i3−i3−i3i3i3i3i3−i3−i311-1-1-1-1110000000000000000
χ372222-2-22222222-2-2-2-2-2-22222222-2-222-2-2-2-222-2-20000000000000000000000000000000000000000000000002i−2i2i−2i
χ382222-2-22222222-2-2-2-2-2-22222222-2-222-2-2-2-222-2-2000000000000000000000000000000000000000000000000−2i2i−2i2i
χ392222-2-2222-2-2-2-2-2-22222222-2-2-2-2-2-222-2-222-2-2220000000000000000000000000000000000000000000000002-2-22
χ402222-2-2222-2-2-2-2-2-22222222-2-2-2-2-2-222-2-222-2-222000000000000000000000000000000000000000000000000-222-2
χ412222-2-22-2-222-2-222-2-2222222222-2-2-2-222-2-2-2-2220000000000000000000000000000000000002-22-2000000000000
χ422222-2-22-2-222-2-222-2-2222222222-2-2-2-222-2-2-2-222000000000000000000000000000000000000-22-22000000000000
χ432222-2-22-2-2-2-2222222-2-2222-2-2-2-2-2-2-2-2222222-2-20000000000000000000000000000000000002-2-22000000000000
χ442222-2-22-2-2-2-2222222-2-2222-2-2-2-2-2-2-2-2222222-2-2000000000000000000000000000000000000-222-2000000000000
χ452-22-22-222-22i−2i2i−2i2-22i−2i2i−2i2-2-22i2i−2i−2i2-22-22-22i−2i2i−2i2i−2i000000000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000
χ462-22-22-222-22i−2i2i−2i2-22i−2i2i−2i2-2-22i2i−2i−2i2-22-22-22i−2i2i−2i2i−2i00000000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000
χ472-22-22-222-2−2i2i−2i2i2-2−2i2i−2i2i2-2-2−2i−2i2i2i2-22-22-2−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000
χ482-22-22-222-2−2i2i−2i2i2-2−2i2i−2i2i2-2-2−2i−2i2i2i2-22-22-2−2i2i−2i2i−2i2i000000000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000
χ492-22-22-22-222i−2i−2i2i-222i−2i−2i2i2-2-22i2i−2i−2i2-2-22-222i−2i−2i2i−2i2i00000000000000000000000000000000000000002-22i−2i00000000
χ502-22-22-22-222i−2i−2i2i-222i−2i−2i2i2-2-22i2i−2i−2i2-2-22-222i−2i−2i2i−2i2i0000000000000000000000000000000000000000-22−2i2i00000000
χ512-22-22-22-22−2i2i2i−2i-22−2i2i2i−2i2-2-2−2i−2i2i2i2-2-22-22−2i2i2i−2i2i−2i00000000000000000000000000000000000000002-2−2i2i00000000
χ522-22-22-22-22−2i2i2i−2i-22−2i2i2i−2i2-2-2−2i−2i2i2i2-2-22-22−2i2i2i−2i2i−2i0000000000000000000000000000000000000000-222i−2i00000000
χ532-22-2-2222-22i−2i2i−2i-22−2i2i−2i2i2-2-22i2i−2i−2i-222-2-22−2i2i2i−2i−2i2i2-22i−2i2-22-2000000002i−2i2i−2i00000000000000000000000000000000
χ542-22-2-2222-22i−2i2i−2i-22−2i2i−2i2i2-2-22i2i−2i−2i-222-2-22−2i2i2i−2i−2i2i-22−2i2i-22-2200000000−2i2i−2i2i00000000000000000000000000000000
χ552-22-2-2222-2−2i2i−2i2i-222i−2i2i−2i2-2-2−2i−2i2i2i-222-2-222i−2i−2i2i2i−2i2-2−2i2i2-22-200000000−2i2i−2i2i00000000000000000000000000000000
χ562-22-2-2222-2−2i2i−2i2i-222i−2i2i−2i2-2-2−2i−2i2i2i-222-2-222i−2i−2i2i2i−2i-222i−2i-22-22000000002i−2i2i−2i00000000000000000000000000000000
χ572-22-2-222-222i−2i−2i2i2-2−2i2i2i−2i2-2-22i2i−2i−2i-22-222-2−2i2i−2i2i2i−2i00000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23000000000000000000000000
χ582-22-2-222-222i−2i−2i2i2-2−2i2i2i−2i2-2-22i2i−2i−2i-22-222-2−2i2i−2i2i2i−2i000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23000000000000000000000000
χ592-22-2-222-22−2i2i2i−2i2-22i−2i−2i2i2-2-2−2i−2i2i2i-22-222-22i−2i2i−2i−2i2i000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13000000000000000000000000
χ602-22-2-222-22−2i2i2i−2i2-22i−2i−2i2i2-2-2−2i−2i2i2i-22-222-22i−2i2i−2i−2i2i00000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13000000000000000000000000
χ612-22-2-22-12-22i−2i2i−2i-22−2i2i−2i2i-111−i−iii1-1-111-1i−i−iii−i2-22i−2i-11-1100000000−ii−ii−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ130000000000000000
χ622-22-2-22-12-22i−2i2i−2i-22−2i2i−2i2i-111−i−iii1-1-111-1i−i−iii−i2-22i−2i-11-1100000000−ii−iiζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ130000000000000000
χ632-22-2-22-12-22i−2i2i−2i-22−2i2i−2i2i-111−i−iii1-1-111-1i−i−iii−i-22−2i2i1-11-100000000i−ii−i−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ130000000000000000
χ642-22-2-22-12-22i−2i2i−2i-22−2i2i−2i2i-111−i−iii1-1-111-1i−i−iii−i-22−2i2i1-11-100000000i−ii−iζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ130000000000000000
χ652-22-2-22-12-2−2i2i−2i2i-222i−2i2i−2i-111ii−i−i1-1-111-1−iii−i−ii2-2−2i2i-11-1100000000i−ii−iζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ230000000000000000
χ662-22-2-22-12-2−2i2i−2i2i-222i−2i2i−2i-111ii−i−i1-1-111-1−iii−i−ii2-2−2i2i-11-1100000000i−ii−i−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ230000000000000000
χ672-22-2-22-12-2−2i2i−2i2i-222i−2i2i−2i-111ii−i−i1-1-111-1−iii−i−ii-222i−2i1-11-100000000−ii−iiζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ230000000000000000
χ682-22-2-22-12-2−2i2i−2i2i-222i−2i2i−2i-111ii−i−i1-1-111-1−iii−i−ii-222i−2i1-11-100000000−ii−ii−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ230000000000000000
χ692-22-2-22-1-222i−2i−2i2i2-2−2i2i2i−2i-111−i−iii1-11-1-11i−ii−i−ii0000−i3i3i3−i3−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300003−3−33ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ230000000000000000
χ702-22-2-22-1-222i−2i−2i2i2-2−2i2i2i−2i-111−i−iii1-11-1-11i−ii−i−ii0000−i3i3i3−i32ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300003−3−33−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ230000000000000000
χ712-22-2-22-1-222i−2i−2i2i2-2−2i2i2i−2i-111−i−iii1-11-1-11i−ii−i−ii0000i3−i3−i3i3−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000−333−3ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ230000000000000000
χ722-22-2-22-1-222i−2i−2i2i2-2−2i2i2i−2i-111−i−iii1-11-1-11i−ii−i−ii0000i3−i3−i3i32ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000−333−3−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ230000000000000000
χ732-22-2-22-1-22−2i2i2i−2i2-22i−2i−2i2i-111ii−i−i1-11-1-11−ii−iii−i0000−i3i3i3−i32ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000−333−3−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ130000000000000000
χ742-22-2-22-1-22−2i2i2i−2i2-22i−2i−2i2i-111ii−i−i1-11-1-11−ii−iii−i0000−i3i3i3−i3−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000−333−3ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ130000000000000000
χ752-22-2-22-1-22−2i2i2i−2i2-22i−2i−2i2i-111ii−i−i1-11-1-11−ii−iii−i0000i3−i3−i3i32ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300003−3−33−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ130000000000000000
χ762-22-2-22-1-22−2i2i2i−2i2-22i−2i−2i2i-111ii−i−i1-11-1-11−ii−iii−i0000i3−i3−i3i3−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300003−3−33ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ130000000000000000
χ774444-4-4-2444444-4-4-4-4-4-4-2-2-2-2-2-2-222-2-22222-2-2220000000000000000000000000000000000000000000000000000
χ784444-4-4-244-4-4-4-4-4-44444-2-2-2222222-2-222-2-222-2-20000000000000000000000000000000000000000000000000000
χ794444-4-4-2-4-444-4-444-4-444-2-2-2-2-2-2-22222-2-22222-2-20000000000000000000000000000000000000000000000000000
χ804444-4-4-2-4-4-4-4444444-4-4-2-2-222222222-2-2-2-2-2-2220000000000000000000000000000000000000000000000000000
χ814-44-44-4-24-44i−4i4i−4i4-44i−4i4i−4i-222−2i−2i2i2i-22-22-22−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000
χ824-44-44-4-24-4−4i4i−4i4i4-4−4i4i−4i4i-2222i2i−2i−2i-22-22-222i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000
χ834-44-44-4-2-444i−4i−4i4i-444i−4i−4i4i-222−2i−2i2i2i-222-22-2−2i2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000
χ844-44-44-4-2-44−4i4i4i−4i-44−4i4i4i−4i-2222i2i−2i−2i-222-22-22i−2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000
χ8588-8-8008000000000000-88-800000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-800-40000000000004-4443−4343−430000000000000000000000000000000000000000000000000000000000000000
χ8788-8-800-40000000000004-44−4343−43430000000000000000000000000000000000000000000000000000000000000000
χ888-8-88008000000000000-8-8800000000000000000000000000000000000000000000000000000000000000000000
χ898-8-8800-400000000000044-4−4i34i34i3−4i30000000000000000000000000000000000000000000000000000000000000000
χ908-8-8800-400000000000044-44i3−4i3−4i34i30000000000000000000000000000000000000000000000000000000000000000

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