Finite Group Databasebeta

← Group #10713391

Character table — Group #10713391

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11111111222222222222222222224444444444448888888888888888888888888888888888881212121212121212242424242424242424242424
order12448888222344468888881212242424246661212122424242424242466881212161616161616161624242424484848484848484848484848484848482244888844881616161616161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ91111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-111ii−i−iii−i−i-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-111-1-1ii−i−iii−i−i
χ101111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-111ii−i−iii−i−i-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-111−i−iii−i−iii
χ111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-111−i−iii−i−iii-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-111-1-1−i−iii−i−iii
χ121111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-111−i−iii−i−iii-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-111ii−i−iii−i−i
χ131111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-111−i−iiiii−i−i
χ141111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1111111-1-1ii−i−i−i−iii
χ151111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-111ii−i−i−i−iii
χ161111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1111111-1-1−i−iiiii−i−i
χ1722222222222-1222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ1822222222222-1222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-2-2-2-2-2-2-2-2-1-1-1-1111111111111111100000000000000000000
χ1922222222222-1222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-2112222-2-2-2-21111-1-1-1-1-1-1-1-11111111100000000000000000000
χ2022222222222-1222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-211-2-2-2-22222111111111111-1-1-1-1-1-1-1-100000000000000000000
χ21222222222-2-222-2-22-2-222-2-22222222-2-22-2-2-2-2-2-2220000000000002-22-200000000000022-2-222-2-200000000000000000000
χ22222222222-2-222-2-22-2-222-2-22222222-2-22-2-2-2-2-2-222000000000000-22-22000000000000-2-222-2-22200000000000000000000
χ23222222222-2-2-12-2-2-1-2-222-2-2-1-1-1-1-1-1-111-1111111-1-100−i3i300−i3i300002-22-2−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-1-111-1-11100000000000000000000
χ24222222222-2-2-12-2-2-1-2-222-2-2-1-1-1-1-1-1-111-1111111-1-100−i3i300−i3i30000-22-22−i3−i3i3i3i3i3−i3−i3i3i3−i3−i311-1-111-1-100000000000000000000
χ25222222222-2-2-12-2-2-1-2-222-2-2-1-1-1-1-1-1-111-1111111-1-100i3−i300i3−i300002-22-2i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-1-111-1-11100000000000000000000
χ26222222222-2-2-12-2-2-1-2-222-2-2-1-1-1-1-1-1-111-1111111-1-100i3−i300i3−i30000-22-22i3i3−i3−i3−i3−i3i3i3−i3−i3i3i311-1-111-1-100000000000000000000
χ2722222222-22-22-22-22-2-2-2-222222222-22-2-22-222-2-2-2-200000000000000000000000000000000000000000000000000002-22-2
χ2822222222-22-22-22-22-2-2-2-222222222-22-2-22-222-2-2-2-20000000000000000000000000000000000000000000000000000-22-22
χ2922222222-2-222-2-22222-2-2-2-2222222-2-22-2-22-2-222-2-2000000000000000000000000000000000000000000002-22-200000000
χ3022222222-2-222-2-22222-2-2-2-2222222-2-22-2-22-2-222-2-200000000000000000000000000000000000000000000-22-2200000000
χ312222-2-2-2-2222-1222-1-2-2-2-2-2-2-1-11111-1-1-1-1-1-111111122-1-1-2-2-1-12i2i−2i−2i2i2i−2i−2i1111−i−i−i−iiiii−i−i−i−iiiii00000000000000000000
χ322222-2-2-2-2222-1222-1-2-2-2-2-2-2-1-11111-1-1-1-1-1-111111122-1-1-2-2-1-1−2i−2i2i2i−2i−2i2i2i1111iiii−i−i−i−iiiii−i−i−i−i00000000000000000000
χ332222-2-2-2-2222-1222-1-2-2-2-2-2-2-1-11111-1-1-1-1-1-1111111-2-21122112i2i−2i−2i−2i−2i2i2i-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000
χ342222-2-2-2-2222-1222-1-2-2-2-2-2-2-1-11111-1-1-1-1-1-1111111-2-2112211−2i−2i2i2i2i2i−2i−2i-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii00000000000000000000
χ352222-2-2-2-22-2-222-2-2222-2-22222-2-2-2-22-2-22-2-22222-2-20000000000002i−2i−2i2i0000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000
χ362222-2-2-2-22-2-222-2-2222-2-22222-2-2-2-22-2-22-2-22222-2-2000000000000−2i2i2i−2i000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ372222-2-2-2-22-2-2-12-2-2-122-2-222-1-11111-111-111-1-1-1-11100−i3i300−i3i300002i−2i−2i2ii3i3−i3−i333−3−3−3−333−i−iiiii−i−i00000000000000000000
χ382222-2-2-2-22-2-2-12-2-2-122-2-222-1-11111-111-111-1-1-1-11100−i3i300−i3i30000−2i2i2i−2ii3i3−i3−i3−3−33333−3−3ii−i−i−i−iii00000000000000000000
χ392222-2-2-2-22-2-2-12-2-2-122-2-222-1-11111-111-111-1-1-1-11100i3−i300i3−i300002i−2i−2i2i−i3−i3i3i3−3−33333−3−3−i−iiiii−i−i00000000000000000000
χ402222-2-2-2-22-2-2-12-2-2-122-2-222-1-11111-111-111-1-1-1-11100i3−i300i3−i30000−2i2i2i−2i−i3−i3i3i333−3−3−3−333ii−i−i−i−iii00000000000000000000
χ412222-2-2-2-2-22-22-22-222222-2-222-2-2-2-2-22-2-22-2-2-2222200000000000000000000000000000000000000000000000000002i−2i−2i2i
χ422222-2-2-2-2-22-22-22-222222-2-222-2-2-2-2-22-2-22-2-2-222220000000000000000000000000000000000000000000000000000−2i2i2i−2i
χ432222-2-2-2-2-2-222-2-222-2-2222222-2-2-2-2-2-22-2-2222-2-222000000000000000000000000000000000000000000002-2-2200000000
χ442222-2-2-2-2-2-222-2-222-2-2222222-2-2-2-2-2-22-2-2222-2-22200000000000000000000000000000000000000000000-222-200000000
χ4522-2-22i2i−2i−2i2222-2-2-222i−2i2i−2i2i−2i-2-22i2i−2i−2i222-2-2-22i−2i2i−2i2i−2i00000000000000000000000000000000000022-2-22i2i−2i−2i000000000000
χ4622-2-22i2i−2i−2i2222-2-2-222i−2i2i−2i2i−2i-2-22i2i−2i−2i222-2-2-22i−2i2i−2i2i−2i000000000000000000000000000000000000-2-222−2i−2i2i2i000000000000
χ4722-2-22i2i−2i−2i2-2-22-2222−2i2i2i−2i−2i2i-2-22i2i−2i−2i2-2-2-222−2i2i−2i2i2i−2i000000000000000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000
χ4822-2-22i2i−2i−2i2-2-22-2222−2i2i2i−2i−2i2i-2-22i2i−2i−2i2-2-2-222−2i2i−2i2i2i−2i0000000000000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000
χ4922-2-22i2i−2i−2i-22-222-222−2i2i−2i2i2i−2i-2-22i2i−2i−2i-22-22-222i−2i−2i2i−2i2i000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ130000000000000000000000000000
χ5022-2-22i2i−2i−2i-22-222-222−2i2i−2i2i2i−2i-2-22i2i−2i−2i-22-22-222i−2i−2i2i−2i2i00000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ130000000000000000000000000000
χ5122-2-22i2i−2i−2i-22-2-12-22-1−2i2i−2i2i2i−2i11−i−iii1-11-11-1−iii−ii−i00−i3i300i3−i32ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300003−33−3−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ1300000000000000000000
χ5222-2-22i2i−2i−2i-22-2-12-22-1−2i2i−2i2i2i−2i11−i−iii1-11-11-1−iii−ii−i00−i3i300i3−i3−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300003−33−3ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ1300000000000000000000
χ5322-2-22i2i−2i−2i-22-2-12-22-1−2i2i−2i2i2i−2i11−i−iii1-11-11-1−iii−ii−i00i3−i300−i3i32ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000−33−33−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ1300000000000000000000
χ5422-2-22i2i−2i−2i-22-2-12-22-1−2i2i−2i2i2i−2i11−i−iii1-11-11-1−iii−ii−i00i3−i300−i3i3−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000−33−33ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ1300000000000000000000
χ5522-2-22i2i−2i−2i-2-22222-222i−2i−2i2i−2i2i-2-22i2i−2i−2i-2-2222-2−2i2i2i−2i−2i2i2-2222i−2i-2-2000000002i−2i−2i2i000000000000000000000000000000000000
χ5622-2-22i2i−2i−2i-2-22222-222i−2i−2i2i−2i2i-2-22i2i−2i−2i-2-2222-2−2i2i2i−2i−2i2i-22-2-2−2i2i2200000000−2i2i2i−2i000000000000000000000000000000000000
χ5722-2-22i2i−2i−2i-2-22-122-2-12i−2i−2i2i−2i2i11−i−iii11-1-1-11i−i−iii−i2-2-1-12i−2i1100000000−iii−i−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ1300000000000000000000
χ5822-2-22i2i−2i−2i-2-22-122-2-12i−2i−2i2i−2i2i11−i−iii11-1-1-11i−i−iii−i2-2-1-12i−2i1100000000−iii−iζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ1300000000000000000000
χ5922-2-22i2i−2i−2i-2-22-122-2-12i−2i−2i2i−2i2i11−i−iii11-1-1-11i−i−iii−i-2211−2i2i-1-100000000i−i−ii−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ1300000000000000000000
χ6022-2-22i2i−2i−2i-2-22-122-2-12i−2i−2i2i−2i2i11−i−iii11-1-1-11i−i−iii−i-2211−2i2i-1-100000000i−i−iiζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ1300000000000000000000
χ6122-2-2−2i−2i2i2i2222-2-2-22−2i2i−2i2i−2i2i-2-2−2i−2i2i2i222-2-2-2−2i2i−2i2i−2i2i00000000000000000000000000000000000022-2-2−2i−2i2i2i000000000000
χ6222-2-2−2i−2i2i2i2222-2-2-22−2i2i−2i2i−2i2i-2-2−2i−2i2i2i222-2-2-2−2i2i−2i2i−2i2i000000000000000000000000000000000000-2-2222i2i−2i−2i000000000000
χ6322-2-2−2i−2i2i2i2-2-22-22222i−2i−2i2i2i−2i-2-2−2i−2i2i2i2-2-2-2222i−2i2i−2i−2i2i0000000000000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000
χ6422-2-2−2i−2i2i2i2-2-22-22222i−2i−2i2i2i−2i-2-2−2i−2i2i2i2-2-2-2222i−2i2i−2i−2i2i000000000000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000
χ6522-2-2−2i−2i2i2i-22-222-2222i−2i2i−2i−2i2i-2-2−2i−2i2i2i-22-22-22−2i2i2i−2i2i−2i00000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ230000000000000000000000000000
χ6622-2-2−2i−2i2i2i-22-222-2222i−2i2i−2i−2i2i-2-2−2i−2i2i2i-22-22-22−2i2i2i−2i2i−2i000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ230000000000000000000000000000
χ6722-2-2−2i−2i2i2i-22-2-12-22-12i−2i2i−2i−2i2i11ii−i−i1-11-11-1i−i−ii−ii00−i3i300i3−i3−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000−33−33ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300000000000000000000
χ6822-2-2−2i−2i2i2i-22-2-12-22-12i−2i2i−2i−2i2i11ii−i−i1-11-11-1i−i−ii−ii00−i3i300i3−i32ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000−33−33−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300000000000000000000
χ6922-2-2−2i−2i2i2i-22-2-12-22-12i−2i2i−2i−2i2i11ii−i−i1-11-11-1i−i−ii−ii00i3−i300−i3i3−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300003−33−3ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300000000000000000000
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χ7522-2-2−2i−2i2i2i-2-22-122-2-1−2i2i2i−2i2i−2i11ii−i−i11-1-1-11−iii−i−ii-22112i−2i-1-100000000−iii−iζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ2300000000000000000000
χ7622-2-2−2i−2i2i2i-2-22-122-2-1−2i2i2i−2i2i−2i11ii−i−i11-1-1-11−iii−i−ii-22112i−2i-1-100000000−iii−i−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ2300000000000000000000
χ7744444444-44-4-2-44-4-2-4-4-4-444-2-2-2-2-2-22-222-22-2-2222200000000000000000000000000000000000000000000000000000000
χ7844444444-4-44-2-4-44-244-4-4-4-4-2-2-2-2-2-222-222-222-2-22200000000000000000000000000000000000000000000000000000000
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χ8144-4-44i4i−4i−4i444-2-4-4-4-24i−4i4i−4i4i−4i22−2i−2i2i2i-2-2-2222−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000
χ8244-4-44i4i−4i−4i4-4-4-2-444-2−4i4i4i−4i−4i4i22−2i−2i2i2i-2222-2-22i−2i2i−2i−2i2i00000000000000000000000000000000000000000000000000000000
χ8344-4-4−4i−4i4i4i444-2-4-4-4-2−4i4i−4i4i−4i4i222i2i−2i−2i-2-2-22222i−2i2i−2i2i−2i00000000000000000000000000000000000000000000000000000000
χ8444-4-4−4i−4i4i4i4-4-4-2-444-24i−4i−4i4i4i−4i222i2i−2i−2i-2222-2-2−2i2i−2i2i2i−2i00000000000000000000000000000000000000000000000000000000
χ854-44i−4i4ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ130004000-40000004i−4i4ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ130000000000000000000000000000000000000000000000002-22i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000
χ864-44i−4i4ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ130004000-40000004i−4i4ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ13000000000000000000000000000000000000000000000000-22−2i2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000
χ874-44i−4i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ130004000-40000004i−4i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ130000000000000000000000000000000000000000000000002-22i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000
χ884-44i−4i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ130004000-40000004i−4i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ13000000000000000000000000000000000000000000000000-22−2i2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000
χ894-4−4i4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ230004000-4000000−4i4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ230000000000000000000000000000000000000000000000002-2−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000
χ904-4−4i4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ230004000-4000000−4i4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ23000000000000000000000000000000000000000000000000-222i−2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000
χ914-4−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ230004000-4000000−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ230000000000000000000000000000000000000000000000002-2−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000
χ924-4−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ230004000-4000000−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ23000000000000000000000000000000000000000000000000-222i−2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000
χ938-88i−8i8ζ7+8ζ23−8ζ7−8ζ23−8ζ5−8ζ138ζ5+8ζ13000-40004000000−4i4i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ1300000000000000000000000000000000000000000000000000000000000000000000
χ948-88i−8i−8ζ7−8ζ238ζ7+8ζ238ζ5+8ζ13−8ζ5−8ζ13000-40004000000−4i4i4ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ1300000000000000000000000000000000000000000000000000000000000000000000
χ958-8−8i8i−8ζ5−8ζ138ζ5+8ζ138ζ7+8ζ23−8ζ7−8ζ23000-400040000004i−4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ2300000000000000000000000000000000000000000000000000000000000000000000
χ968-8−8i8i8ζ5+8ζ13−8ζ5−8ζ13−8ζ7−8ζ238ζ7+8ζ23000-400040000004i−4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ2300000000000000000000000000000000000000000000000000000000000000000000

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