Finite Group Databasebeta

← Group #10690645

Character table — Group #10690645

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222222222222244444444444488888888888888888888888888888888888824242424242424242424242424242424
order12222234444444444446661212121266121212121212121212124444888888881212121212121212242424242424242424242424242424242244888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ9111111111-1-1-1-1-1-111-1-1111-1-1-1-111-1-11111-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i
χ10111111111-1-1-1-1-1-111-1-1111-1-1-1-111-1-11111-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111−i−iii−i−iii
χ11111111111-1-1-1-1-1-111-1-1111-1-1-1-111-1-11111-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii
χ12111111111-1-1-1-1-1-111-1-1111-1-1-1-111-1-11111-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111ii−i−iii−i−i
χ13111111111-1-1-1-1-1-111-1-1111-1-1-1-111-1-11111-1-1-1-1-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111ii−i−i−i−iii
χ14111111111-1-1-1-1-1-111-1-1111-1-1-1-111-1-11111-1-1-1-1-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1−i−iiiii−i−i
χ15111111111-1-1-1-1-1-111-1-1111-1-1-1-111-1-11111-1-1-1-1-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111−i−iiiii−i−i
χ16111111111-1-1-1-1-1-111-1-1111-1-1-1-111-1-11111-1-1-1-1-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1ii−i−i−i−iii
χ172222222-2-222-2-222-2-2-2-2222-2-2-2-222-2-2-2-2-2-22222000000000000000000000000000000000000000000002i−2i2i−2i0000
χ182222222-2-222-2-222-2-2-2-2222-2-2-2-222-2-2-2-2-2-2222200000000000000000000000000000000000000000000−2i2i−2i2i0000
χ192222222-2-2-2-222-2-2-2-22222222222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000002-2-220000
χ202222222-2-2-2-222-2-2-2-22222222222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000-222-20000
χ21222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ22222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000000000000000
χ23222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-1111111110000000000000000
χ24222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-10000000000000000
χ25222222-122-2-2-2-2-2-222-2-2-1-1-11111-1-111-1-1-1-1111122-2-22i2i−2i−2i2i2i−2i−2i-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii0000000000000000
χ26222222-122-2-2-2-2-2-222-2-2-1-1-11111-1-111-1-1-1-1111122-2-2−2i−2i2i2i−2i−2i2i2i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i0000000000000000
χ27222222-122-2-2-2-2-2-222-2-2-1-1-11111-1-111-1-1-1-11111-2-2222i2i−2i−2i−2i−2i2i2i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000
χ28222222-122-2-2-2-2-2-222-2-2-1-1-11111-1-111-1-1-1-11111-2-222−2i−2i2i2i2i2i−2i−2i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii0000000000000000
χ292222-2-22222222-2-2-2-2-2-22222222-2-2-2-222-2-222-2-20000000000000000000000000000000000000000000000002i−2i2i−2i
χ302222-2-22222222-2-2-2-2-2-22222222-2-2-2-222-2-222-2-2000000000000000000000000000000000000000000000000−2i2i−2i2i
χ312222-2-2222-2-2-2-222-2-222222-2-2-2-2-2-22222-2-2-2-2220000000000000000000000000000000000000000000000002-2-22
χ322222-2-2222-2-2-2-222-2-222222-2-2-2-2-2-22222-2-2-2-222000000000000000000000000000000000000000000000000-222-2
χ332222-2-22-2-222-2-2-2-22222222-2-2-2-2-2-222-2-22222-2-22-22-20000000022-2-222-2-200000000000000000000000000000000
χ342222-2-22-2-222-2-2-2-22222222-2-2-2-2-2-222-2-22222-2-2-22-2200000000-2-222-2-22200000000000000000000000000000000
χ352222-2-22-2-2-2-2222222-2-22222222-2-2-2-2-2-222-2-2222-2-220000000022-2-2-2-22200000000000000000000000000000000
χ362222-2-22-2-2-2-2222222-2-22222222-2-2-2-2-2-222-2-222-222-200000000-2-22222-2-200000000000000000000000000000000
χ372222-2-2-1-2-222-2-2-2-22222-1-1-1111111-1-111-1-1-1-1112-22-200000000-1-111-1-11133−3−333−3−333−3−333−3−30000000000000000
χ382222-2-2-1-2-222-2-2-2-22222-1-1-1111111-1-111-1-1-1-1112-22-200000000-1-111-1-111−3−333−3−333−3−333−3−3330000000000000000
χ392222-2-2-1-2-222-2-2-2-22222-1-1-1111111-1-111-1-1-1-111-22-220000000011-1-111-1-133−3−333−3−3−3−333−3−3330000000000000000
χ402222-2-2-1-2-222-2-2-2-22222-1-1-1111111-1-111-1-1-1-111-22-220000000011-1-111-1-1−3−333−3−33333−3−333−3−30000000000000000
χ412222-2-2-1-2-2-2-2222222-2-2-1-1-1-1-1-1-1111111-1-111-1-12-2-2200000000-1-11111-1-1−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ422222-2-2-1-2-2-2-2222222-2-2-1-1-1-1-1-1-1111111-1-111-1-12-2-2200000000-1-11111-1-1i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ432222-2-2-1-2-2-2-2222222-2-2-1-1-1-1-1-1-1111111-1-111-1-1-222-20000000011-1-1-1-111−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ442222-2-2-1-2-2-2-2222222-2-2-1-1-1-1-1-1-1111111-1-111-1-1-222-20000000011-1-1-1-111i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ452-22-22-222-22i−2i2i−2i2i−2i2-22i−2i-22-22i2i−2i−2i2-22i−2i2-22-22i−2i2i−2i00000000000000000000000000000000000000002-22i−2i00000000
χ462-22-22-222-22i−2i2i−2i2i−2i2-22i−2i-22-22i2i−2i−2i2-22i−2i2-22-22i−2i2i−2i0000000000000000000000000000000000000000-22−2i2i00000000
χ472-22-22-222-2−2i2i−2i2i−2i2i2-2−2i2i-22-2−2i−2i2i2i2-2−2i2i2-22-2−2i2i−2i2i00000000000000000000000000000000000000002-2−2i2i00000000
χ482-22-22-222-2−2i2i−2i2i−2i2i2-2−2i2i-22-2−2i−2i2i2i2-2−2i2i2-22-2−2i2i−2i2i0000000000000000000000000000000000000000-222i−2i00000000
χ492-22-22-22-222i−2i−2i2i2i−2i-22−2i2i-22-2−2i−2i2i2i2-2−2i2i-22-222i−2i2i−2i00000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000000000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ230000000000000000
χ502-22-22-22-222i−2i−2i2i2i−2i-22−2i2i-22-2−2i−2i2i2i2-2−2i2i-22-222i−2i2i−2i000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000000000002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ230000000000000000
χ512-22-22-22-22−2i2i2i−2i−2i2i-222i−2i-22-22i2i−2i−2i2-22i−2i-22-22−2i2i−2i2i000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000000000002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ130000000000000000
χ522-22-22-22-22−2i2i2i−2i−2i2i-222i−2i-22-22i2i−2i−2i2-22i−2i-22-22−2i2i−2i2i00000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ130000000000000000
χ532-22-22-2-1-222i−2i−2i2i2i−2i-22−2i2i1-11ii−i−i-11i−i1-11-1−ii−ii00000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−i3i3−i3i33−33−3ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ230000000000000000
χ542-22-22-2-1-222i−2i−2i2i2i−2i-22−2i2i1-11ii−i−i-11i−i1-11-1−ii−ii00000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23i3−i3i3−i3−33−33−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ230000000000000000
χ552-22-22-2-1-222i−2i−2i2i2i−2i-22−2i2i1-11ii−i−i-11i−i1-11-1−ii−ii000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−i3i3−i3i33−33−3−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ230000000000000000
χ562-22-22-2-1-222i−2i−2i2i2i−2i-22−2i2i1-11ii−i−i-11i−i1-11-1−ii−ii000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23i3−i3i3−i3−33−33ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ230000000000000000
χ572-22-22-2-1-22−2i2i2i−2i−2i2i-222i−2i1-11−i−iii-11−ii1-11-1i−ii−i000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−i3i3−i3i3−33−33ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ130000000000000000
χ582-22-22-2-1-22−2i2i2i−2i−2i2i-222i−2i1-11−i−iii-11−ii1-11-1i−ii−i000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13i3−i3i3−i33−33−3−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ130000000000000000
χ592-22-22-2-1-22−2i2i2i−2i−2i2i-222i−2i1-11−i−iii-11−ii1-11-1i−ii−i00000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−i3i3−i3i3−33−33−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ130000000000000000
χ602-22-22-2-1-22−2i2i2i−2i−2i2i-222i−2i1-11−i−iii-11−ii1-11-1i−ii−i00000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13i3−i3i3−i33−33−3ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ130000000000000000
χ612-22-2-2222-22i−2i2i−2i−2i2i-22−2i2i-22-22i2i−2i−2i-22−2i2i2-2-222i−2i−2i2i00002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13000000000000000000000000
χ622-22-2-2222-22i−2i2i−2i−2i2i-22−2i2i-22-22i2i−2i−2i-22−2i2i2-2-222i−2i−2i2i0000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ13000000000000000000000000
χ632-22-2-2222-2−2i2i−2i2i2i−2i-222i−2i-22-2−2i−2i2i2i-222i−2i2-2-22−2i2i2i−2i0000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ23000000000000000000000000
χ642-22-2-2222-2−2i2i−2i2i2i−2i-222i−2i-22-2−2i−2i2i2i-222i−2i2-2-22−2i2i2i−2i00002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23000000000000000000000000
χ652-22-2-222-222i−2i−2i2i−2i2i2-22i−2i-22-2−2i−2i2i2i-222i−2i-222-22i−2i−2i2i0000000000000000000000000000000000002-22i−2i000000000000
χ662-22-2-222-222i−2i−2i2i−2i2i2-22i−2i-22-2−2i−2i2i2i-222i−2i-222-22i−2i−2i2i000000000000000000000000000000000000-22−2i2i000000000000
χ672-22-2-222-22−2i2i2i−2i2i−2i2-2−2i2i-22-22i2i−2i−2i-22−2i2i-222-2−2i2i2i−2i0000000000000000000000000000000000002-2−2i2i000000000000
χ682-22-2-222-22−2i2i2i−2i2i−2i2-2−2i2i-22-22i2i−2i−2i-22−2i2i-222-2−2i2i2i−2i000000000000000000000000000000000000-222i−2i000000000000
χ692-22-2-22-12-22i−2i2i−2i−2i2i-22−2i2i1-11−i−iii1-1i−i-111-1−iii−i00002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000−i3i3i3−i33−3−33−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ130000000000000000
χ702-22-2-22-12-22i−2i2i−2i−2i2i-22−2i2i1-11−i−iii1-1i−i-111-1−iii−i00002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000i3−i3−i3i3−333−3−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ130000000000000000
χ712-22-2-22-12-22i−2i2i−2i−2i2i-22−2i2i1-11−i−iii1-1i−i-111-1−iii−i0000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000−i3i3i3−i33−3−33ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ130000000000000000
χ722-22-2-22-12-22i−2i2i−2i−2i2i-22−2i2i1-11−i−iii1-1i−i-111-1−iii−i0000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000i3−i3−i3i3−333−3ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ130000000000000000
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χ77444444-2-4-444-4-444-4-4-4-4-2-2-22222-2-2222222-2-2-2-20000000000000000000000000000000000000000000000000000
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χ814-44-44-4-24-44i−4i4i−4i4i−4i4-44i−4i2-22−2i−2i2i2i-22−2i2i-22-22−2i2i−2i2i0000000000000000000000000000000000000000000000000000
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χ844-44-4-44-2-44−4i4i4i−4i4i−4i4-4−4i4i2-22−2i−2i2i2i2-22i−2i2-2-222i−2i−2i2i0000000000000000000000000000000000000000000000000000
χ8588-8-80080000000000008-8-800000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-800-4000000000000-444−4i34i3−4i34i30000000000000000000000000000000000000000000000000000000000000000
χ8788-8-800-4000000000000-4444i3−4i34i3−4i30000000000000000000000000000000000000000000000000000000000000000
χ888-8-88008000000000000-8-8800000000000000000000000000000000000000000000000000000000000000000000
χ898-8-8800-400000000000044-443−43−43430000000000000000000000000000000000000000000000000000000000000000
χ908-8-8800-400000000000044-4−434343−430000000000000000000000000000000000000000000000000000000000000000

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