Finite Group Databasebeta

← Group #10691508

Character table — Group #10691508

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222222224444444444444444444444444444444444488888888888888888888888888242424242424242448484848
order12222234444446661212121222224446666666688881212121212121212242424242424242424666888888121212242424242424242424242424444488882488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ411111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ5111111111111111111111-1-111-1-11111-1-1-1-111111111-1-1-1-111111111-1-11-1-111-1-1-1-11-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ6111111111111111111111-1-111-1-11111-1-1-1-111111111-1-1-1-111111111-1-11-1-111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-1111111111111-1-1-1-111-1-1
χ8111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-111111111-1-1-1-11111-1-111
χ91111111-1-111-1-1111-1-1-1-1-111-11-1-111-1-11111ii−i−i11-1-1-1-1-1-1iiii−i−i−i−i1-1-111i−iii−i−i1-1-1ii−i−iiiii−i−i−i−iii−i−i11-1-11-1i−i
χ101111111-1-111-1-1111-1-1-1-1-111-11-1-111-1-11111ii−i−i11-1-1-1-1-1-1iiii−i−i−i−i1-1-111i−iii−i−i1-1-1ii−i−iiiii−i−i−i−i−i−iii-1-111-11−ii
χ111111111-1-111-1-1111-1-1-1-1-111-11-1-111-1-11111−i−iii11-1-1-1-1-1-1−i−i−i−iiiii1-1-111−ii−i−iii1-1-1−i−iii−i−i−i−iiiiiii−i−i-1-111-11i−i
χ121111111-1-111-1-1111-1-1-1-1-111-11-1-111-1-11111−i−iii11-1-1-1-1-1-1−i−i−i−iiiii1-1-111−ii−i−iii1-1-1−i−iii−i−i−i−iiiii−i−iii11-1-11-1−ii
χ131111111-1-111-1-1111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1ii−i−i11-1-11111iiii−i−i−i−i-11-1-1-1i−i−i−iii111ii−i−i−i−i−i−iiiiiii−i−i11-1-1-11−ii
χ141111111-1-111-1-1111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1ii−i−i11-1-11111iiii−i−i−i−i-11-1-1-1i−i−i−iii111ii−i−i−i−i−i−iiiii−i−iii-1-1111-1i−i
χ151111111-1-111-1-1111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1−i−iii11-1-11111−i−i−i−iiiii-11-1-1-1−iiii−i−i111−i−iiiiiii−i−i−i−iii−i−i-1-1111-1−ii
χ161111111-1-111-1-1111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1−i−iii11-1-11111−i−i−i−iiiii-11-1-1-1−iiii−i−i111−i−iiiiiii−i−i−i−i−i−iii11-1-1-11i−i
χ17222222222-2-2222222222-200-2-20022-2-200002222-2-22200002222222200-200-2-20000-200-2-2-2-200000000000000000000
χ18222222222-2-2222222222-200-2-20022-2-20000-2-2-2-2-2-2220000-2-2-2-2-2-2-2-200-200220000-200222200000000000000000000
χ192222222-2-2-2-2-2-2222-2-2-2-22002-200222200002i2i−2i−2i-2-2-2-200002i2i2i2i−2i−2i−2i−2i00200−2i2i0000-200−2i−2i2i2i00000000000000000000
χ202222222-2-2-2-2-2-2222-2-2-2-22002-20022220000−2i−2i2i2i-2-2-2-20000−2i−2i−2i−2i2i2i2i2i002002i−2i0000-2002i2i−2i−2i00000000000000000000
χ21222222-1222222-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ22222222-1222222-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-11111111122-1-1-1-2-2-2-2-2-2-1-1-1111111111111000000000000
χ23222222-1222222-1-1-1-1-1-1-12-2-222-2-2-1-1-1-111112222-1-1-1-11111-1-1-1-1-1-1-1-1-2-2-11122-2-2-2-2-111-1-1-1-111111111000000000000
χ24222222-1222222-1-1-1-1-1-1-12-2-222-2-2-1-1-1-11111-2-2-2-2-1-1-1-1111111111111-2-2-111-2-22222-1111111-1-1-1-1-1-1-1-1000000000000
χ25222222-122-2-222-1-1-1-1-1-1-1-200-2-200-1-111−i3−i3i3i3222211-1-1−i3−i3i3i3-1-1-1-1-1-1-1-1001−i3i3-2-200001−i3i31111−i3−i3i3i3−i3−i3i3i3000000000000
χ26222222-122-2-222-1-1-1-1-1-1-1-200-2-200-1-111−i3−i3i3i3-2-2-2-211-1-1−i3−i3i3i311111111001−i3i32200001−i3i3-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000
χ27222222-122-2-222-1-1-1-1-1-1-1-200-2-200-1-111i3i3−i3−i3222211-1-1i3i3−i3−i3-1-1-1-1-1-1-1-1001i3−i3-2-200001i3−i31111i3i3−i3−i3i3i3−i3−i3000000000000
χ28222222-122-2-222-1-1-1-1-1-1-1-200-2-200-1-111i3i3−i3−i3-2-2-2-211-1-1i3i3−i3−i311111111001i3−i32200001i3−i3-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000
χ29222222-1-2-222-2-2-1-1-11111-222-22-2-2-1-111-1-1-1-12i2i−2i−2i-1-1111111−i−i−i−iiiii2-21-1-12i−2i2i2i−2i−2i-111−i−iii−i−i−i−iiiii000000000000
χ30222222-1-2-222-2-2-1-1-11111-222-22-2-2-1-111-1-1-1-1−2i−2i2i2i-1-1111111iiii−i−i−i−i2-21-1-1−2i2i−2i−2i2i2i-111ii−i−iiiii−i−i−i−i000000000000
χ31222222-1-2-222-2-2-1-1-11111-2-2-2-2222-1-11111112i2i−2i−2i-1-111-1-1-1-1−i−i−i−iiiii-221112i−2i−2i−2i2i2i-1-1-1−i−iiiiiii−i−i−i−i000000000000
χ32222222-1-2-222-2-2-1-1-11111-2-2-2-2222-1-1111111−2i−2i2i2i-1-111-1-1-1-1iiii−i−i−i−i-22111−2i2i2i2i−2i−2i-1-1-1ii−i−i−i−i−i−iiiii000000000000
χ33222222-1-2-2-2-2-2-2-1-1-111112002-200-1-1-1-1−i3−i3i3i32i2i−2i−2i1111i3i3−i3−i3−i−i−i−iiiii00-1−i3i3−2i2i00001i3−i3ii−i−i33−3−3−3−333000000000000
χ34222222-1-2-2-2-2-2-2-1-1-111112002-200-1-1-1-1−i3−i3i3i3−2i−2i2i2i1111i3i3−i3−i3iiii−i−i−i−i00-1−i3i32i−2i00001i3−i3−i−iii−3−33333−3−3000000000000
χ35222222-1-2-2-2-2-2-2-1-1-111112002-200-1-1-1-1i3i3−i3−i32i2i−2i−2i1111−i3−i3i3i3−i−i−i−iiiii00-1i3−i3−2i2i00001−i3i3ii−i−i−3−33333−3−3000000000000
χ36222222-1-2-2-2-2-2-2-1-1-111112002-200-1-1-1-1i3i3−i3−i3−2i−2i2i2i1111−i3−i3i3i3iiii−i−i−i−i00-1i3−i32i−2i00001−i3i3−i−iii33−3−3−3−333000000000000
χ372222-2-222222-2-22222222222-2-222-2-2222222000022-2-2222200000000-2-2-2-2-2000000-2-2-2000000000000000000000000
χ382222-2-222222-2-222222222-2-2-2-2-2-2-2-222-2-2-2-2000022-2-2-2-2-2-20000000022-222000000-222000000000000000000000000
χ392222-2-2222-2-2-2-22222222-2002200-2-2-2-200000000-2-2-2-200000000000000200002-22-220000002-22-22-22-2000000000000
χ402222-2-2222-2-2-2-22222222-2002200-2-2-2-200000000-2-2-2-20000000000000020000-22-222000000-22-22-22-22000000000000
χ412222-2-22-2-22222222-2-2-2-2-2222-2-2-2-2-2-2-2222200002222-2-2-2-200000000-222-2-2000000-222000000000000000000000000
χ422222-2-22-2-22222222-2-2-2-2-2-2-22-222-2-2-2-2-2-2-2-2000022222222000000002-2222000000-2-2-2000000000000000000000000
χ432222-2-22-2-2-2-222222-2-2-2-2200-2200-2-22200000000-2-22200000000000000-200002i−2i−2i2i20000002i−2i2i−2i−2i2i−2i2i000000000000
χ442222-2-22-2-2-2-222222-2-2-2-2200-2200-2-22200000000-2-22200000000000000-20000−2i2i2i−2i2000000−2i2i−2i2i2i−2i2i−2i000000000000
χ452222-2-2-12222-2-2-1-1-1-1-1-1-1222-2-22211-1-1-1-1-1-10000-1-111-1-1-1-1−i3−i3i3i3−i3−i3i3i3-2-2111000000111−i3i3−i3i3−i3i3i3−i3−i3i3i3−i3000000000000
χ462222-2-2-12222-2-2-1-1-1-1-1-1-1222-2-22211-1-1-1-1-1-10000-1-111-1-1-1-1i3i3−i3−i3i3i3−i3−i3-2-2111000000111i3−i3i3−i3i3−i3−i3i3i3−i3−i3i3000000000000
χ472222-2-2-12222-2-2-1-1-1-1-1-1-12-2-2-2-2-2-211-1-111110000-1-1111111−i3−i3i3i3−i3−i3i3i3221-1-10000001-1-1−i3i3−i3i3i3−i3−i3i3i3−i3−i3i3000000000000
χ482222-2-2-12222-2-2-1-1-1-1-1-1-12-2-2-2-2-2-211-1-111110000-1-1111111i3i3−i3−i3i3i3−i3−i3221-1-10000001-1-1i3−i3i3−i3−i3i3i3−i3−i3i3i3−i3000000000000
χ492222-2-2-122-2-2-2-2-1-1-1-1-1-1-1-20022001111−i3−i3i3i300001111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300-1i3−i3002-22-2-1i3−i3i3−i3i3−i3-11-11-11-11000000000000
χ502222-2-2-122-2-2-2-2-1-1-1-1-1-1-1-20022001111−i3−i3i3i300001111−i3−i3i3i3i3i3−i3−i3i3i3−i3−i300-1i3−i300-22-22-1i3−i3−i3i3−i3i31-11-11-11-1000000000000
χ512222-2-2-122-2-2-2-2-1-1-1-1-1-1-1-20022001111i3i3−i3−i300001111i3i3−i3−i3−i3−i3i3i3−i3−i3i3i300-1−i3i300-22-22-1−i3i3i3−i3i3−i31-11-11-11-1000000000000
χ522222-2-2-122-2-2-2-2-1-1-1-1-1-1-1-20022001111i3i3−i3−i300001111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300-1−i3i3002-22-2-1−i3i3−i3i3−i3i3-11-11-11-11000000000000
χ532222-2-2-1-2-22222-1-1-11111-2222-2-2-21111-1-1-1-10000-1-1-1-1111133−3−3−3−333-22-1110000001-1-13−3−333−3−33−333−3000000000000
χ542222-2-2-1-2-22222-1-1-11111-2222-2-2-21111-1-1-1-10000-1-1-1-11111−3−33333−3−3-22-1110000001-1-1−333−3−333−33−3−33000000000000
χ552222-2-2-1-2-22222-1-1-11111-2-2-22-222111111110000-1-1-1-1-1-1-1-133−3−3−3−3332-2-1-1-10000001113−3−33−333−33−3−33000000000000
χ562222-2-2-1-2-22222-1-1-11111-2-2-22-222111111110000-1-1-1-1-1-1-1-1−3−33333−3−32-2-1-1-1000000111−333−33−3−33−333−3000000000000
χ572222-2-2-1-2-2-2-222-1-1-11111200-220011-1-1−i3−i3i3i3000011-1-1i3i3−i3−i333−3−3−3−333001i3−i3002i−2i−2i2i-1−i3i3−333−3−ii−iii−ii−i000000000000
χ582222-2-2-1-2-2-2-222-1-1-11111200-220011-1-1−i3−i3i3i3000011-1-1i3i3−i3−i3−3−33333−3−3001i3−i300−2i2i2i−2i-1−i3i33−3−33i−ii−i−ii−ii000000000000
χ592222-2-2-1-2-2-2-222-1-1-11111200-220011-1-1i3i3−i3−i3000011-1-1−i3−i3i3i333−3−3−3−333001−i3i300−2i2i2i−2i-1i3−i3−333−3i−ii−i−ii−ii000000000000
χ602222-2-2-1-2-2-2-222-1-1-11111200-220011-1-1i3i3−i3−i3000011-1-1−i3−i3i3i3−3−33333−3−3001−i3i3002i−2i−2i2i-1i3−i33−3−33−ii−iii−ii−i000000000000
χ6122-2-22-222i−2i002i−2i2-2-22i2i−2i−2i00000002-20000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13002i−2i00002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13000000000000000000000000001+i−1−i1−i−1+i2−2−i2i20000
χ6222-2-22-222i−2i002i−2i2-2-22i2i−2i−2i00000002-20000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13002i−2i00002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ1300000000000000000000000000−1−i1+i−1+i1−i−22i2−i20000
χ6322-2-22-222i−2i002i−2i2-2-22i2i−2i−2i00000002-2000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13002i−2i0000−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13000000000000000000000000001+i−1−i1−i−1+i−22i2−i20000
χ6422-2-22-222i−2i002i−2i2-2-22i2i−2i−2i00000002-2000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13002i−2i0000−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ1300000000000000000000000000−1−i1+i−1+i1−i2−2−i2i20000
χ6522-2-22-22−2i2i00−2i2i2-2-2−2i−2i2i2i00000002-2000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300−2i2i0000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23000000000000000000000000001−i−1+i1+i−1−i2−2i2−i20000
χ6622-2-22-22−2i2i00−2i2i2-2-2−2i−2i2i2i00000002-2000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300−2i2i0000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000−1+i1−i−1−i1+i−22−i2i20000
χ6722-2-22-22−2i2i00−2i2i2-2-2−2i−2i2i2i00000002-20000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300−2i2i00002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23000000000000000000000000001−i−1+i1+i−1−i−22−i2i20000
χ6822-2-22-22−2i2i00−2i2i2-2-2−2i−2i2i2i00000002-20000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300−2i2i00002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ2300000000000000000000000000−1+i1−i−1−i1+i2−2i2−i20000
χ6944-4-44-4-24i−4i004i−4i-222−2i−2i2i2i0000000-220000004ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ1300−2i2i0000−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ1300000000000000000000000000000000000000
χ7044-4-44-4-24i−4i004i−4i-222−2i−2i2i2i0000000-22000000−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ1300−2i2i00002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ1300000000000000000000000000000000000000
χ7144-4-44-4-2−4i4i00−4i4i-2222i2i−2i−2i0000000-22000000−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ23002i−2i00002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ2300000000000000000000000000000000000000
χ7244-4-44-4-2−4i4i00−4i4i-2222i2i−2i−2i0000000-220000004ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ23002i−2i0000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000000000000000
χ7344-4-4-4444i−4i00−4i4i4-4-44i4i−4i−4i0000000-44000000000000−4i4i00000000000000000000000000000000000000000000000000
χ7444-4-4-444−4i4i004i−4i4-4-4−4i−4i4i4i0000000-440000000000004i−4i00000000000000000000000000000000000000000000000000
χ7544-4-4-44-24i−4i00−4i4i-222−2i−2i2i2i00000002-20000000000002i−2i0000−2ζ7+2ζ232ζ7−2ζ232ζ7−2ζ23−2ζ7+2ζ23−2ζ5+2ζ132ζ5−2ζ132ζ5−2ζ13−2ζ5+2ζ1300000000000000000000000000000000000000
χ7644-4-4-44-24i−4i00−4i4i-222−2i−2i2i2i00000002-20000000000002i−2i00002ζ7−2ζ23−2ζ7+2ζ23−2ζ7+2ζ232ζ7−2ζ232ζ5−2ζ13−2ζ5+2ζ13−2ζ5+2ζ132ζ5−2ζ1300000000000000000000000000000000000000
χ7744-4-4-44-2−4i4i004i−4i-2222i2i−2i−2i00000002-2000000000000−2i2i00002ζ5−2ζ13−2ζ5+2ζ13−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ23−2ζ7+2ζ232ζ7−2ζ2300000000000000000000000000000000000000
χ7844-4-4-44-2−4i4i004i−4i-2222i2i−2i−2i00000002-2000000000000−2i2i0000−2ζ5+2ζ132ζ5−2ζ132ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ232ζ7−2ζ23−2ζ7+2ζ2300000000000000000000000000000000000000
χ794-44-4004004-400-4-440000000004-40000000000004-4004-44-40000000000000000000000000000000000000000000000
χ804-44-4004004-400-4-44000000000-440000000000004-400-44-440000000000000000000000000000000000000000000000
χ814-44-400400-4400-4-44000004-4000000004-44-40000-440000000000000000000000000000000000000000000000000000
χ824-44-400400-4400-4-4400000-4400000000-44-440000-440000000000000000000000000000000000000000000000000000
χ834-44-400-2004-40022-2−2i32i3−2i32i3000004-400−2i32i3−2i32i32i3−2i30000-2200-22-220000000000000000000000000000000000000000000000
χ844-44-400-2004-40022-2−2i32i3−2i32i300000-4400−2i32i32i3−2i3−2i32i30000-22002-22-20000000000000000000000000000000000000000000000
χ854-44-400-2004-40022-22i3−2i32i3−2i3000004-4002i3−2i32i3−2i3−2i32i30000-2200-22-220000000000000000000000000000000000000000000000
χ864-44-400-2004-40022-22i3−2i32i3−2i300000-44002i3−2i3−2i32i32i3−2i30000-22002-22-20000000000000000000000000000000000000000000000
χ874-44-400-200-440022-2−2i32i3−2i32i304-40000002i3−2i3-22-2200002-200−2i32i32i3−2i30000000000000000000000000000000000000000000000
χ884-44-400-200-440022-2−2i32i3−2i32i30-440000002i3−2i32-22-200002-2002i3−2i3−2i32i30000000000000000000000000000000000000000000000
χ894-44-400-200-440022-22i3−2i32i3−2i304-4000000−2i32i3-22-2200002-2002i3−2i3−2i32i30000000000000000000000000000000000000000000000
χ904-44-400-200-440022-22i3−2i32i3−2i30-44000000−2i32i32-22-200002-200−2i32i32i3−2i30000000000000000000000000000000000000000000000
χ918-8-88008000000-88-800000000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-8800-40000004-4443−43−43430000000000000000000000000000000000000000000000000000000000000000000000000
χ938-8-8800-40000004-44−434343−430000000000000000000000000000000000000000000000000000000000000000000000000

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