Finite Group Databasebeta

← Group #10691815

Character table — Group #10691815

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222222444444444444444444448888888888888888888888888888888888242424242424242448484848
order12223444444666121212122444668888121212121212121212128888888888242424242424242424242424242424242424242424242424224488884488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ91111111-1-1-1-11111111-11-11-1-1ii−i−i11-1-111-1-1-1-1i−i11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i1-1i−i
χ101111111-1-1-1-11111111-11-11-1-1ii−i−i11-1-111-1-1-1-1i−i11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-1-111−i−iii-11−ii
χ111111111-1-1-1-11111111-11-11-1-1ii−i−i11-1-111-1-1-1-1i−i-1-111−i−iiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−i-11−ii
χ121111111-1-1-1-11111111-11-11-1-1ii−i−i11-1-111-1-1-1-1i−i-1-111−i−iiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-111−i−iii1-1i−i
χ131111111-1-1-1-11111111-11-11-1-1−i−iii11-1-111-1-1-1-1−ii11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii1-1−ii
χ141111111-1-1-1-11111111-11-11-1-1−i−iii11-1-111-1-1-1-1−ii11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i-11i−i
χ151111111-1-1-1-11111111-11-11-1-1−i−iii11-1-111-1-1-1-1−ii-1-111ii−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii-11i−i
χ161111111-1-1-1-11111111-11-11-1-1−i−iii11-1-111-1-1-1-1−ii-1-111ii−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i1-1−ii
χ17222222222222222222-2-2-2-2-2-22222-2-222-2-222-2-2-2-20000000022-2-222-2-20000000000000000000000000000
χ18222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-22200000000-2-222-2-2220000000000000000000000000000
χ192222222-2-2-2-222222222-22-2222i2i−2i−2i-2-2-2-2-2-2-2-222−2i2i000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000
χ202222222-2-2-2-222222222-22-222−2i−2i2i2i-2-2-2-2-2-2-2-2222i−2i00000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000
χ2122222-2-222-2-2222-2-2-2-222-2-22200002222-2-2-2-2-2-2000000000000000000000000000000000000002i−2i2i−2i0000
χ2222222-2-222-2-2222-2-2-2-222-2-22200002222-2-2-2-2-2-200000000000000000000000000000000000000−2i2i−2i2i0000
χ2322222-2-222-2-2222-2-2-2-2-2-222-2-20000-2-22222-2-22200000000000000000000000000000000002-22-200000000
χ2422222-2-222-2-2222-2-2-2-2-2-222-2-20000-2-22222-2-2220000000000000000000000000000000000-22-2200000000
χ2522222-2-2-2-222222-2-2-2-22-2-22220000-2-2-2-22222-2-200000000000000000000000000000000002-2-2200000000
χ2622222-2-2-2-222222-2-2-2-22-2-22220000-2-2-2-22222-2-20000000000000000000000000000000000-222-200000000
χ2722222-2-2-2-222222-2-2-2-2-222-2-2-2000022-2-2-2-22222000000000000000000000000000000000000002-2-220000
χ2822222-2-2-2-222222-2-2-2-2-222-2-2-2000022-2-2-2-2222200000000000000000000000000000000000000-222-20000
χ292222-1222222-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ302222-1222222-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111000000000000
χ312222-1222222-1-1-1-1-1-1-12222-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-111111111000000000000
χ322222-1222222-1-1-1-1-1-1-12222-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1000000000000
χ332222-1222222-1-1-1-1-1-1-1-2-2-2-211222211-1-111-1-111-2-200000000-1-111-1-11133−3−333−3−333−3−333−3−3000000000000
χ342222-1222222-1-1-1-1-1-1-1-2-2-2-211222211-1-111-1-111-2-200000000-1-111-1-111−3−333−3−333−3−333−3−333000000000000
χ352222-1222222-1-1-1-1-1-1-1-2-2-2-211-2-2-2-211-1-111-1-111220000000011-1-111-1-133−3−333−3−3−3−333−3−333000000000000
χ362222-1222222-1-1-1-1-1-1-1-2-2-2-211-2-2-2-211-1-111-1-111220000000011-1-111-1-1−3−333−3−33333−3−333−3−3000000000000
χ372222-122-2-2-2-2-1-1-1-1-1-1-12-22-2-1-12i2i−2i−2i11111111-1-1−2i2i00000000−i−iiiii−i−i33−3−3−3−333i3i3−i3−i3−i3−i3i3i3000000000000
χ382222-122-2-2-2-2-1-1-1-1-1-1-12-22-2-1-12i2i−2i−2i11111111-1-1−2i2i00000000−i−iiiii−i−i−3−33333−3−3−i3−i3i3i3i3i3−i3−i3000000000000
χ392222-122-2-2-2-2-1-1-1-1-1-1-12-22-2-1-1−2i−2i2i2i11111111-1-12i−2i00000000ii−i−i−i−iii33−3−3−3−333−i3−i3i3i3i3i3−i3−i3000000000000
χ402222-122-2-2-2-2-1-1-1-1-1-1-12-22-2-1-1−2i−2i2i2i11111111-1-12i−2i00000000ii−i−i−i−iii−3−33333−3−3i3i3−i3−i3−i3−i3i3i3000000000000
χ412222-122-2-2-2-2-1-1-1-1-1-1-1-22-22112i2i−2i−2i-1-111-1-111112i−2i22-2-22i2i−2i−2i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii000000000000
χ422222-122-2-2-2-2-1-1-1-1-1-1-1-22-22112i2i−2i−2i-1-111-1-111112i−2i-2-222−2i−2i2i2i−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i000000000000
χ432222-122-2-2-2-2-1-1-1-1-1-1-1-22-2211−2i−2i2i2i-1-111-1-11111−2i2i22-2-2−2i−2i2i2iiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i000000000000
χ442222-122-2-2-2-2-1-1-1-1-1-1-1-22-2211−2i−2i2i2i-1-111-1-11111−2i2i-2-2222i2i−2i−2iiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii000000000000
χ452-22-222-22i−2i2i−2i2-2-222-2-20000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13002i−2i002i−2i00002−2−i2i21+i−1−i1−i−1+i2ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13002−22−2−i2i2−i2i21+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000
χ462-22-222-22i−2i2i−2i2-2-222-2-20000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13002i−2i002i−2i0000−22i2−i2−1−i1+i−1+i1−i2ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1300−22−22i2−i2i2−i2−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000
χ472-22-222-22i−2i2i−2i2-2-222-2-2000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13002i−2i002i−2i00002−2−i2i2−1−i1+i−1+i1−i−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13002−22−2−i2i2−i2i2−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000
χ482-22-222-22i−2i2i−2i2-2-222-2-2000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13002i−2i002i−2i0000−22i2−i21+i−1−i1−i−1+i−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300−22−22i2−i2i2−i21+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000
χ492-22-222-2−2i2i−2i2i2-2-222-2-2000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300−2i2i00−2i2i00002−2i2−i21−i−1+i1+i−1−i−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23002−22−2i2−i2i2−i21−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000
χ502-22-222-2−2i2i−2i2i2-2-222-2-2000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300−2i2i00−2i2i0000−22−i2i2−1+i1−i−1−i1+i−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300−22−22−i2i2−i2i2−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000
χ512-22-222-2−2i2i−2i2i2-2-222-2-20000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300−2i2i00−2i2i00002−2i2−i2−1+i1−i−1−i1+i2ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23002−22−2i2−i2i2−i2−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000
χ522-22-222-2−2i2i−2i2i2-2-222-2-20000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300−2i2i00−2i2i0000−22−i2i21−i−1+i1+i−1−i2ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ2300−22−22−i2i2−i2i21−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000
χ532-22-2-12-22i−2i2i−2i-111-1-1110000−i3i32ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ133−3−ii3−3−ii−i3i3002−2−i2i21+i−1−i1−i−1+i−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22000000000000
χ542-22-2-12-22i−2i2i−2i-111-1-1110000−i3i32ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ133−3−ii3−3−ii−i3i300−22i2−i2−1−i1+i−1+i1−i−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22000000000000
χ552-22-2-12-22i−2i2i−2i-111-1-1110000−i3i3−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ133−3−ii3−3−ii−i3i3002−2−i2i2−1−i1+i−1+i1−iζ7+ζ23−ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22000000000000
χ562-22-2-12-22i−2i2i−2i-111-1-1110000−i3i3−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ133−3−ii3−3−ii−i3i300−22i2−i21+i−1−i1−i−1+iζ7+ζ23−ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22000000000000
χ572-22-2-12-22i−2i2i−2i-111-1-1110000i3−i32ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−33−ii−33−iii3−i3002−2−i2i21+i−1−i1−i−1+i−ζ7−ζ23ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14000000000000
χ582-22-2-12-22i−2i2i−2i-111-1-1110000i3−i32ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−33−ii−33−iii3−i300−22i2−i2−1−i1+i−1+i1−i−ζ7−ζ23ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14000000000000
χ592-22-2-12-22i−2i2i−2i-111-1-1110000i3−i3−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−33−ii−33−iii3−i3002−2−i2i2−1−i1+i−1+i1−iζ7+ζ23−ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14000000000000
χ602-22-2-12-22i−2i2i−2i-111-1-1110000i3−i3−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−33−ii−33−iii3−i300−22i2−i21+i−1−i1−i−1+iζ7+ζ23−ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14000000000000
χ612-22-2-12-2−2i2i−2i2i-111-1-1110000−i3i3−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−33i−i−33i−i−i3i3002−2i2−i21−i−1+i1+i−1−iζ5+ζ13−ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22000000000000
χ622-22-2-12-2−2i2i−2i2i-111-1-1110000−i3i3−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−33i−i−33i−i−i3i300−22−i2i2−1+i1−i−1−i1+iζ5+ζ13−ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22000000000000
χ632-22-2-12-2−2i2i−2i2i-111-1-1110000−i3i32ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−33i−i−33i−i−i3i3002−2i2−i2−1+i1−i−1−i1+i−ζ5−ζ13ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22000000000000
χ642-22-2-12-2−2i2i−2i2i-111-1-1110000−i3i32ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−33i−i−33i−i−i3i300−22−i2i21−i−1+i1+i−1−i−ζ5−ζ13ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22000000000000
χ652-22-2-12-2−2i2i−2i2i-111-1-1110000i3−i3−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ233−3i−i3−3i−ii3−i3002−2i2−i21−i−1+i1+i−1−iζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14000000000000
χ662-22-2-12-2−2i2i−2i2i-111-1-1110000i3−i3−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ233−3i−i3−3i−ii3−i300−22−i2i2−1+i1−i−1−i1+iζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14000000000000
χ672-22-2-12-2−2i2i−2i2i-111-1-1110000i3−i32ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ233−3i−i3−3i−ii3−i3002−2i2−i2−1+i1−i−1−i1+i−ζ5−ζ13ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14000000000000
χ682-22-2-12-2−2i2i−2i2i-111-1-1110000i3−i32ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ233−3i−i3−3i−ii3−i300−22−i2i21−i−1+i1+i−1−i−ζ5−ζ13ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14000000000000
χ694444-2-4-444-4-4-2-2-2222244-4-4-2-20000-2-2-2-22222220000000000000000000000000000000000000000000000
χ704444-2-4-444-4-4-2-2-22222-4-44422000022-2-2-2-222-2-20000000000000000000000000000000000000000000000
χ714444-2-4-4-4-444-2-2-222224-4-44-2-200002222-2-2-2-2220000000000000000000000000000000000000000000000
χ724444-2-4-4-4-444-2-2-22222-444-4220000-2-22222-2-2-2-20000000000000000000000000000000000000000000000
χ734-44-44-444i−4i−4i4i4-4-4-4-4440000000000004i−4i00−4i4i000000000000000000000000000000000000000000000000
χ744-44-44-44−4i4i4i−4i4-4-4-4-444000000000000−4i4i004i−4i000000000000000000000000000000000000000000000000
χ754-44-4-2-444i−4i−4i4i-22222-2-20000−2i32i3000023−23−2i2i−23232i−2i2i3−2i30000000000000000000000000000000000000000000000
χ764-44-4-2-444i−4i−4i4i-22222-2-200002i3−2i30000−2323−2i2i23−232i−2i−2i32i30000000000000000000000000000000000000000000000
χ774-44-4-2-44−4i4i4i−4i-22222-2-20000−2i32i30000−23232i−2i23−23−2i2i2i3−2i30000000000000000000000000000000000000000000000
χ784-44-4-2-44−4i4i4i−4i-22222-2-200002i3−2i3000023−232i−2i−2323−2i2i−2i32i30000000000000000000000000000000000000000000000
χ7988-8-88000000-88-80000000000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-40000004-4443−4343−43000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-40000004-44−4343−4343000000000000000000000000000000000000000000000000000000000000000000
χ828-8-888000000-8-880000000000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-400000044-443−43−4343000000000000000000000000000000000000000000000000000000000000000000
χ848-8-88-400000044-4−434343−43000000000000000000000000000000000000000000000000000000000000000000

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