Finite Group Databasebeta

← Group #11787033

Character table — Group #11787033

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222222244444444444444444444444444446666666666668888888888888888121212121212121212121212121212121212121212121212121212121212242424242424363636367272
order122244442233446666661212121212121212366666668888121212121212121224242424242424248888242424242424242466121224242424242424242424242422444444666688121212121212121212121212242424244412121212888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ7111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1ii−i−i1111-1-1-1-1iiii−i−i−i−iii−i−iiiii−i−i−i−i-1-111ii−i−iiiii−i−i−i−i11-1-1ii−i−i1111i−i-1-1-1-1iiii−i−i−i−iii−i−i1-111-1-111-1-1i−i
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1ii−i−i1111-1-1-1-1iiii−i−i−i−iii−i−iiiii−i−i−i−i-1-111ii−i−iiiii−i−i−i−i11-1-1−i−iii1111i−i-1-1-1-1−i−i−i−iiiiiii−i−i-11-1-111-1-111−ii
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1ii−i−i1111-1-1-1-1iiii−i−i−i−i−i−iii−i−i−i−iiiii-1-111ii−i−iiiii−i−i−i−i-1-111ii−i−i-1-1-1-1−ii1111iiii−i−i−i−i−i−iii1-111-1-1-1-111−ii
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1ii−i−i1111-1-1-1-1iiii−i−i−i−i−i−iii−i−i−i−iiiii-1-111ii−i−iiiii−i−i−i−i-1-111−i−iii-1-1-1-1−ii1111−i−i−i−iiiii−i−iii-11-1-11111-1-1i−i
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1−i−iii1111-1-1-1-1−i−i−i−iiiiiii−i−iiiii−i−i−i−i-1-111−i−iii−i−i−i−iiiii-1-111ii−i−i-1-1-1-1i−i1111iiii−i−i−i−iii−i−i-11-1-11111-1-1−ii
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1−i−iii1111-1-1-1-1−i−i−i−iiiiiii−i−iiiii−i−i−i−i-1-111−i−iii−i−i−i−iiiii-1-111−i−iii-1-1-1-1i−i1111−i−i−i−iiiiiii−i−i1-111-1-1-1-111i−i
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−iii−i−i−i−iiiii-1-111−i−iii−i−i−i−iiiii11-1-1ii−i−i1111−ii-1-1-1-1iiii−i−i−i−i−i−iii-11-1-111-1-111i−i
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−iii−i−i−i−iiiii-1-111−i−iii−i−i−i−iiiii11-1-1−i−iii1111−ii-1-1-1-1−i−i−i−iiiii−i−iii1-111-1-111-1-1−ii
χ1722222222222-122-1-1222-122-1-122-1-1-12-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122220000-1-1-1-122-1-1-1-100000000-1-1-1-1000000000000
χ1822222222222-122-1-1222-122-1-122-1-1-12-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-200001111-2-21111000000001111000000000000
χ1922222222222-122-1-1222-122-1-122-1-1-12-1-1-1-1-12-2-2-2-222-1-1-1-1-1-1111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-20000111122111100000000-1-1-1-1000000000000
χ2022222222222-122-1-1222-122-1-122-1-1-12-1-1-1-1-12-2-2-2-222-1-1-1-1-1-111111111-2-2-2-211111111-1-1-1-1-2-2-2-21111111122220000-1-1-1-1-2-2-1-1-1-1000000001111000000000000
χ212222222222-122222-1-1-12-1-122-1-122-1-122-1-1-1-12222-1-122-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000000000-1-1-1-1-1-1-1-1000022-1-1-1-1000000
χ222222222222-122222-1-1-12-1-122-1-122-1-122-1-1-1-12222-1-122-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000000111111110000-2-21111000000
χ232222222222-122222-1-1-12-1-122-1-122-1-122-1-1-1-1-2-2-2-2-1-122-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-1111111111111000022220000000000-1-1-1-1-1-1-1-10000-2-21111000000
χ242222222222-122222-1-1-12-1-122-1-122-1-122-1-1-1-1-2-2-2-2-1-122-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-11111111111110000-2-2-2-2000000000011111111000022-1-1-1-1000000
χ2522222222-2-222-2-2222222222222222-2-2-2222-20000-2-2-2-2222200000000222222222222-2-2-2-2000000000000000000000000-2-2000000000000-2-2-2-2000000000000
χ2622222222-2-222-2-2222222222222222-2-2-2222-20000-2-2-2-2222200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000220000000000002222000000000000
χ2722222222-2-22-1-2-2-1-1222-122-1-122-1-1-1-211-1-1-1-20000-2-211-1-1-1-1−i3−i3i3i3−i3−i3i3i32222-1-1-1-1-1-1-1-111110000−i3−i3i3i3−i3−i3i3i300000000−i3−i3i3i3-2-2−i3−i3i3i3000000001111000000000000
χ2822222222-2-22-1-2-2-1-1222-122-1-122-1-1-1-211-1-1-1-20000-2-211-1-1-1-1−i3−i3i3i3−i3−i3i3i3-2-2-2-21111111111110000−i3−i3i3i3−i3−i3i3i300000000i3i3−i3−i322i3i3−i3−i300000000-1-1-1-1000000000000
χ2922222222-2-22-1-2-2-1-1222-122-1-122-1-1-1-211-1-1-1-20000-2-211-1-1-1-1i3i3−i3−i3i3i3−i3−i32222-1-1-1-1-1-1-1-111110000i3i3−i3−i3i3i3−i3−i300000000i3i3−i3−i3-2-2i3i3−i3−i3000000001111000000000000
χ3022222222-2-22-1-2-2-1-1222-122-1-122-1-1-1-211-1-1-1-20000-2-211-1-1-1-1i3i3−i3−i3i3i3−i3−i3-2-2-2-21111111111110000i3i3−i3−i3i3i3−i3−i300000000−i3−i3i3i322−i3−i3i3i300000000-1-1-1-1000000000000
χ312222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2222222220000-2-2-2-2-2-2-2-2000000002i2i−2i−2i2i2i2i2i−2i−2i−2i−2i22-2-2000000000000000000000000−2i2i000000000000−2i−2i2i2i000000000000
χ322222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2222222220000-2-2-2-2-2-2-2-200000000−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i22-2-20000000000000000000000002i−2i0000000000002i2i−2i−2i000000000000
χ332222-2-2-2-2222-1-2-2-1-1222-1-2-211-2-211-12-1-1-1-1-120000-2-211111133−3−3−3−3332i2i−2i−2i−i−i−i−iiiii-1-111000033−3−3−3−33300000000−i3−i3i3i3−2i2ii3i3−i3−i300000000ii−i−i000000000000
χ342222-2-2-2-2222-1-2-2-1-1222-1-2-211-2-211-12-1-1-1-1-120000-2-211111133−3−3−3−333−2i−2i2i2iiiii−i−i−i−i-1-111000033−3−3−3−33300000000i3i3−i3−i32i−2i−i3−i3i3i300000000−i−iii000000000000
χ352222-2-2-2-2222-1-2-2-1-1222-1-2-211-2-211-12-1-1-1-1-120000-2-2111111−3−33333−3−32i2i−2i−2i−i−i−i−iiiii-1-1110000−3−33333−3−300000000i3i3−i3−i3−2i2i−i3−i3i3i300000000ii−i−i000000000000
χ362222-2-2-2-2222-1-2-2-1-1222-1-2-211-2-211-12-1-1-1-1-120000-2-2111111−3−33333−3−3−2i−2i2i2iiiii−i−i−i−i-1-1110000−3−33333−3−300000000−i3−i3i3i32i−2ii3i3−i3−i300000000−i−iii000000000000
χ372222-2-2-2-2-2-22-122-1-1222-1-2-211-2-211-1-211-1-1-1-22i2i−2i−2i22-1-11111−i−i−i−iiiii2i2i−2i−2i−i−i−i−iiiii11-1-12i2i−2i−2i−i−i−i−iiiii22-2-20000-1-1-1-12i−2i111100000000−i−iii000000000000
χ382222-2-2-2-2-2-22-122-1-1222-1-2-211-2-211-1-211-1-1-1-22i2i−2i−2i22-1-11111−i−i−i−iiiii−2i−2i2i2iiiii−i−i−i−i11-1-12i2i−2i−2i−i−i−i−iiiii-2-22200001111−2i2i-1-1-1-100000000ii−i−i000000000000
χ392222-2-2-2-2-2-22-122-1-1222-1-2-211-2-211-1-211-1-1-1-2−2i−2i2i2i22-1-11111iiii−i−i−i−i2i2i−2i−2i−i−i−i−iiiii11-1-1−2i−2i2i2iiiii−i−i−i−i-2-222000011112i−2i-1-1-1-100000000−i−iii000000000000
χ402222-2-2-2-2-2-22-122-1-1222-1-2-211-2-211-1-211-1-1-1-2−2i−2i2i2i22-1-11111iiii−i−i−i−i−2i−2i2i2iiiii−i−i−i−i11-1-1−2i−2i2i2iiiii−i−i−i−i22-2-20000-1-1-1-1−2i2i111100000000ii−i−i000000000000
χ412222-2-2-2-2-2-2-122222-1-1-1211-2-211-2-2-11-2-2-1-1-112i2i−2i−2i-1-12211112i2i2i2i−2i−2i−2i−2i00000000000011-1-1−i−iii−i−i−i−iiiii00002i2i−2i−2i0000000000−i−i−i−iiiii00002-2-1-111000000
χ422222-2-2-2-2-2-2-122222-1-1-1211-2-211-2-2-11-2-2-1-1-112i2i−2i−2i-1-12211112i2i2i2i−2i−2i−2i−2i00000000000011-1-1−i−iii−i−i−i−iiiii0000−2i−2i2i2i0000000000iiii−i−i−i−i0000-2211-1-1000000
χ432222-2-2-2-2-2-2-122222-1-1-1211-2-211-2-2-11-2-2-1-1-11−2i−2i2i2i-1-1221111−2i−2i−2i−2i2i2i2i2i00000000000011-1-1ii−i−iiiii−i−i−i−i00002i2i−2i−2i0000000000−i−i−i−iiiii0000-2211-1-1000000
χ442222-2-2-2-2-2-2-122222-1-1-1211-2-211-2-2-11-2-2-1-1-11−2i−2i2i2i-1-1221111−2i−2i−2i−2i2i2i2i2i00000000000011-1-1ii−i−iiiii−i−i−i−i0000−2i−2i2i2i0000000000iiii−i−i−i−i00002-2-1-111000000
χ4522-2-22i−2i2i−2i0022002-2-22-2-22i−2i2i−2i2i−2i2i−2i20002-2-20000000002i−2i2i−2i000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13000000000000000000001+i−1−i1−i−1+i00000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i00000000002−2−i2i200
χ4622-2-22i−2i2i−2i0022002-2-22-2-22i−2i2i−2i2i−2i2i−2i20002-2-20000000002i−2i2i−2i000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ1300000000000000000000−1−i1+i−1+i1−i0000000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000000000−22i2−i200
χ4722-2-22i−2i2i−2i0022002-2-22-2-22i−2i2i−2i2i−2i2i−2i20002-2-20000000002i−2i2i−2i00000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13000000000000000000001+i−1−i1−i−1+i00000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i0000000000−22i2−i200
χ4822-2-22i−2i2i−2i0022002-2-22-2-22i−2i2i−2i2i−2i2i−2i20002-2-20000000002i−2i2i−2i00000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ1300000000000000000000−1−i1+i−1+i1−i0000000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i00000000002−2−i2i200
χ4922-2-2−2i2i−2i2i0022002-2-22-2-2−2i2i−2i2i−2i2i−2i2i20002-2-2000000000−2i2i−2i2i00000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23000000000000000000001−i−1+i1+i−1−i00000000001−i1−i−1+i−1+i1+i1+i−1−i−1−i00000000002−2i2−i200
χ5022-2-2−2i2i−2i2i0022002-2-22-2-2−2i2i−2i2i−2i2i−2i2i20002-2-2000000000−2i2i−2i2i00000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ2300000000000000000000−1+i1−i−1−i1+i0000000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000000000−22−i2i200
χ5122-2-2−2i2i−2i2i0022002-2-22-2-2−2i2i−2i2i−2i2i−2i2i20002-2-2000000000−2i2i−2i2i000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23000000000000000000001−i−1+i1+i−1−i00000000001−i1−i−1+i−1+i1+i1+i−1−i−1−i0000000000−22−i2i200
χ5222-2-2−2i2i−2i2i0022002-2-22-2-2−2i2i−2i2i−2i2i−2i2i20002-2-2000000000−2i2i−2i2i000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ2300000000000000000000−1+i1−i−1−i1+i0000000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i00000000002−2i2−i200
χ532-2-2222-2-22-2222-2-2-22-2-222222-2-2-2-2222-2-2-22-200002-22-222-2-2000000000000000000002-22-20000000000002-22-200002-22-2002-22-2000000000000000000000000
χ542-2-2222-2-22-2222-2-2-22-2-222222-2-2-2-2222-2-2-22-200002-22-222-2-2000000000000000000002-22-2000000000000-22-220000-22-2200-22-22000000000000000000000000
χ552-2-2222-2-22-22-12-2112-2-2-122-1-1-2-211-12-1111-1-200002-2-11-1-1113−33−33−33−300003−33−33−33−3-11-1100003−33−33−33−32-22-20000-11-1100-11-11000000003−33−3000000000000
χ562-2-2222-2-22-22-12-2112-2-2-122-1-1-2-211-12-1111-1-200002-2-11-1-1113−33−33−33−30000−33−33−33−33-11-1100003−33−33−33−3-22-2200001-11-1001-11-100000000−33−33000000000000
χ572-2-2222-2-22-22-12-2112-2-2-122-1-1-2-211-12-1111-1-200002-2-11-1-111−33−33−33−3300003−33−33−33−3-11-110000−33−33−33−33-22-2200001-11-1001-11-1000000003−33−3000000000000
χ582-2-2222-2-22-22-12-2112-2-2-122-1-1-2-211-12-1111-1-200002-2-11-1-111−33−33−33−330000−33−33−33−33-11-110000−33−33−33−332-22-20000-11-1100-11-1100000000−33−33000000000000
χ592-2-2222-2-2-2222-22-2-22-2-222222-2-2-2-22-2-22-2-2222i−2i2i−2i-22-2222-2-22i−2i−2i2i2i−2i−2i2i000000000000-22-222i−2i2i−2i2i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000000000
χ602-2-2222-2-2-2222-22-2-22-2-222222-2-2-2-22-2-22-2-222−2i2i−2i2i-22-2222-2-2−2i2i2i−2i−2i2i2i−2i000000000000-22-22−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000000000
χ612-2-2222-2-2-222-1-22112-2-2-122-1-1-2-211-1-21-111-122i−2i2i−2i-221-1-1-111−iii−i−iii−i00003−33−33−33−31-11-12i−2i2i−2i−iii−i−iii−i00000000−i3i3i3−i300−i3i3i3−i300000000−33−33000000000000
χ622-2-2222-2-2-222-1-22112-2-2-122-1-1-2-211-1-21-111-122i−2i2i−2i-221-1-1-111−iii−i−iii−i0000−33−33−33−331-11-12i−2i2i−2i−iii−i−iii−i00000000i3−i3−i3i300i3−i3−i3i3000000003−33−3000000000000
χ632-2-2222-2-2-222-1-22112-2-2-122-1-1-2-211-1-21-111-12−2i2i−2i2i-221-1-1-111i−i−iii−i−ii00003−33−33−33−31-11-1−2i2i−2i2ii−i−iii−i−ii00000000i3−i3−i3i300i3−i3−i3i300000000−33−33000000000000
χ642-2-2222-2-2-222-1-22112-2-2-122-1-1-2-211-1-21-111-12−2i2i−2i2i-221-1-1-111i−i−iii−i−ii0000−33−33−33−331-11-1−2i2i−2i2ii−i−iii−i−ii00000000−i3i3i3−i300−i3i3i3−i3000000003−33−3000000000000
χ652-2-2222-2-2-22-12-22-2-2-1112-1-12211-2-2-11-2211-1-12i−2i2i−2i1-1-22-1-1112i−2i−2i2i2i−2i−2i2i0000000000001-11-1−ii−ii−iii−i−iii−i000000000000000000−i3i3−i3i3−i3i3−i3i30000003−33−3000000
χ662-2-2222-2-2-22-12-22-2-2-1112-1-12211-2-2-11-2211-1-12i−2i2i−2i1-1-22-1-1112i−2i−2i2i2i−2i−2i2i0000000000001-11-1−ii−ii−iii−i−iii−i000000000000000000i3−i3i3−i3i3−i3i3−i3000000−33−33000000
χ672-2-2222-2-2-22-12-22-2-2-1112-1-12211-2-2-11-2211-1-1−2i2i−2i2i1-1-22-1-111−2i2i2i−2i−2i2i2i−2i0000000000001-11-1i−ii−ii−i−iii−i−ii000000000000000000−i3i3−i3i3−i3i3−i3i3000000−33−33000000
χ682-2-2222-2-2-22-12-22-2-2-1112-1-12211-2-2-11-2211-1-1−2i2i−2i2i1-1-22-1-111−2i2i2i−2i−2i2i2i−2i0000000000001-11-1i−ii−ii−i−iii−i−ii000000000000000000i3−i3i3−i3i3−i3i3−i30000003−33−3000000
χ692-2-22-2-2222-222-22-2-22-2-22-2-2-2-22222222-2-2-22-22-2-22-22-22-2-2222-2-22-222-20000000000002-2-222-2-222-2-22-222-2000000000000000000000000000000000000000000
χ702-2-22-2-2222-222-22-2-22-2-22-2-2-2-22222222-2-2-22-2-222-2-22-22-2-222-222-22-2-220000000000002-2-22-222-2-222-22-2-22000000000000000000000000000000000000000000
χ712-2-22-2-2222-22-1-22112-2-2-1-2-21122-1-1-12-1111-1-22-2-22-221-111-1-1-111-11-1-110000−i3i3−i3i3i3−i3i3−i3-111-12-2-22-111-11-1-1100000000−i3i3i3−i300i3−i3−i3i300000000i3−i3−i3i3000000000000
χ722-2-22-2-2222-22-1-22112-2-2-1-2-21122-1-1-12-1111-1-22-2-22-221-111-1-1-111-11-1-110000i3−i3i3−i3−i3i3−i3i3-111-12-2-22-111-11-1-1100000000i3−i3−i3i300−i3i3i3−i300000000−i3i3i3−i3000000000000
χ732-2-22-2-2222-22-1-22112-2-2-1-2-21122-1-1-12-1111-1-2-222-2-221-111-1-11-1-11-111-10000−i3i3−i3i3i3−i3i3−i3-111-1-222-21-1-11-111-100000000i3−i3−i3i300−i3i3i3−i300000000i3−i3−i3i3000000000000
χ742-2-22-2-2222-22-1-22112-2-2-1-2-21122-1-1-12-1111-1-2-222-2-221-111-1-11-1-11-111-10000i3−i3i3−i3−i3i3−i3i3-111-1-222-21-1-11-111-100000000−i3i3i3−i300i3−i3−i3i300000000−i3i3i3−i3000000000000
χ752-2-22-2-2222-2-12-22-2-2-111211-2-2-1-122-1-12-211-112-2-221-1-2211-1-12-2-22-222-2000000000000-111-1-111-1-111-11-1-110000000000000000003−33−3−33−33000000−333−3000000
χ762-2-22-2-2222-2-12-22-2-2-111211-2-2-1-122-1-12-211-112-2-221-1-2211-1-12-2-22-222-2000000000000-111-1-111-1-111-11-1-11000000000000000000−33−333−33−30000003−3−33000000
χ772-2-22-2-2222-2-12-22-2-2-111211-2-2-1-122-1-12-211-11-222-21-1-2211-1-1-222-22-2-22000000000000-111-11-1-111-1-11-111-10000000000000000003−33−3−33−330000003−3−33000000
χ782-2-22-2-2222-2-12-22-2-2-111211-2-2-1-122-1-12-211-11-222-21-1-2211-1-1-222-22-2-22000000000000-111-11-1-111-1-11-111-1000000000000000000−33−333−33−3000000−333−3000000
χ792-2-22-2-222-22222-2-2-22-2-22-2-2-2-222222-2-22-2-22200002-22-2-2-22200000000000000000000-222-20000000000002-2-2200002-22-200-22-22000000000000000000000000
χ802-2-22-2-222-22222-2-2-22-2-22-2-2-2-222222-2-22-2-22200002-22-2-2-22200000000000000000000-222-2000000000000-222-20000-22-22002-22-2000000000000000000000000
χ812-2-22-2-222-222-12-2112-2-2-1-2-21122-1-1-1-21-111-1200002-2-1111-1-1−i3i3−i3i3i3−i3i3−i30000−i3i3−i3i3i3−i3i3−i31-1-110000−i3i3−i3i3i3−i3i3−i32-2-220000-11-11001-11-100000000−i3i3i3−i3000000000000
χ822-2-22-2-222-222-12-2112-2-2-1-2-21122-1-1-1-21-111-1200002-2-1111-1-1−i3i3−i3i3i3−i3i3−i30000i3−i3i3−i3−i3i3−i3i31-1-110000−i3i3−i3i3i3−i3i3−i3-222-200001-11-100-11-1100000000i3−i3−i3i3000000000000
χ832-2-22-2-222-222-12-2112-2-2-1-2-21122-1-1-1-21-111-1200002-2-1111-1-1i3−i3i3−i3−i3i3−i3i30000−i3i3−i3i3i3−i3i3−i31-1-110000i3−i3i3−i3−i3i3−i3i3-222-200001-11-100-11-1100000000−i3i3i3−i3000000000000
χ842-2-22-2-222-222-12-2112-2-2-1-2-21122-1-1-1-21-111-1200002-2-1111-1-1i3−i3i3−i3−i3i3−i3i30000i3−i3i3−i3−i3i3−i3i31-1-110000i3−i3i3−i3−i3i3−i3i32-2-220000-11-11001-11-100000000i3−i3−i3i3000000000000
χ854444444444-2-244-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2111-24444-2-2-2-21111-2-2-2-2-2-2-2-20000000000001111-2-2-2-211111111000000000000000000000000000000000000000000
χ864444444444-2-244-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-4-4-4-4-2-2-2-211112222222200000000000011112222-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ8744444444-4-4-24-4-444-2-2-24-2-244-2-244-22-4-4-2-2-22000022-4-4-2-2-2-2000000000000000000002222000000000000000000000000000000000000000000000000000000
χ8844444444-4-4-2-2-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-212221112000022221111−2i3−2i32i32i3−2i3−2i32i32i3000000000000-1-1-1-10000i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000000
χ8944444444-4-4-2-2-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2122211120000222211112i32i3−2i3−2i32i32i3−2i3−2i3000000000000-1-1-1-10000−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000000
χ904444-4-4-4-444-24-4-444-2-2-2422-4-422-4-4-2-244-2-2-2-2000022-4-4222200000000000000000000-2-222000000000000000000000000000000000000000000000000000000
χ914444-4-4-4-444-2-2-4-4-2-2-2-2-2-2222222221-2-2-2111-200002222-1-1-1-12323−23−23−23−23232300000000000011-1-10000−3−33333−3−3000000000000000000000000000000000000000000
χ924444-4-4-4-444-2-2-4-4-2-2-2-2-2-2222222221-2-2-2111-200002222-1-1-1-1−23−2323232323−23−2300000000000011-1-1000033−3−3−3−333000000000000000000000000000000000000000000
χ934444-4-4-4-4-4-4-2-244-2-2-2-2-2-222222222122211124i4i−4i−4i-2-2-2-2-1-1-1-1−2i−2i−2i−2i2i2i2i2i000000000000-1-111−2i−2i2i2iiiii−i−i−i−i000000000000000000000000000000000000000000
χ944444-4-4-4-4-4-4-2-244-2-2-2-2-2-22222222212221112−4i−4i4i4i-2-2-2-2-1-1-1-12i2i2i2i−2i−2i−2i−2i000000000000-1-1112i2i−2i−2i−i−i−i−iiiii000000000000000000000000000000000000000000
χ9544-4-44i−4i4i−4i004-200-22-44-424i−4i−2i2i4i−4i−2i2i-2000-222000000000−2i2i−2i2i000000004ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ130000000000000000000000000000000000000000000000000000000000
χ9644-4-44i−4i4i−4i004-200-22-44-424i−4i−2i2i4i−4i−2i2i-2000-222000000000−2i2i−2i2i00000000−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ130000000000000000000000000000000000000000000000000000000000
χ9744-4-44i−4i4i−4i00-24004-42-22-4−2i2i4i−4i−2i2i4i−4i-2000-222000000000−2i2i−2i2i00000000000000000000000000000000000000002+2i−2−2i2−2i−2+2i0000000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000000000000000
χ9844-4-44i−4i4i−4i00-24004-42-22-4−2i2i4i−4i−2i2i4i−4i-2000-222000000000−2i2i−2i2i0000000000000000000000000000000000000000−2−2i2+2i−2+2i2−2i00000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i0000000000000000
χ9944-4-4−4i4i−4i4i004-200-22-44-42−4i4i2i−2i−4i4i2i−2i-2000-2220000000002i−2i2i−2i00000000−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ230000000000000000000000000000000000000000000000000000000000
χ10044-4-4−4i4i−4i4i004-200-22-44-42−4i4i2i−2i−4i4i2i−2i-2000-2220000000002i−2i2i−2i000000004ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ230000000000000000000000000000000000000000000000000000000000
χ10144-4-4−4i4i−4i4i00-24004-42-22-42i−2i−4i4i2i−2i−4i4i-2000-2220000000002i−2i2i−2i00000000000000000000000000000000000000002−2i−2+2i2+2i−2−2i0000000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000000000000000
χ10244-4-4−4i4i−4i4i00-24004-42-22-42i−2i−4i4i2i−2i−4i4i-2000-2220000000002i−2i2i−2i0000000000000000000000000000000000000000−2+2i2−2i−2−2i2+2i00000000001−i1−i−1+i−1+i1+i1+i−1−i−1−i0000000000000000
χ1034-44-44i−4i−4i4i004400-44-4-44-44i−4i4i−4i−4i4i−4i4i4000-44-40000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1044-44-44i−4i−4i4i004-2002-2-4-4424i−4i−2i2i−4i4i2i−2i-20002-22000000000−2i2i2i−2i0000000000002ζ5−2ζ13−2ζ5+2ζ13−2ζ5+2ζ132ζ5−2ζ13−2ζ7+2ζ232ζ7−2ζ232ζ7−2ζ23−2ζ7+2ζ230000000000000000000000000000000000000000000000000000000000
χ1054-44-44i−4i−4i4i004-2002-2-4-4424i−4i−2i2i−4i4i2i−2i-20002-22000000000−2i2i2i−2i000000000000−2ζ5+2ζ132ζ5−2ζ132ζ5−2ζ13−2ζ5+2ζ132ζ7−2ζ23−2ζ7+2ζ23−2ζ7+2ζ232ζ7−2ζ230000000000000000000000000000000000000000000000000000000000
χ1064-44-44i−4i−4i4i00-2400-4422-2-4−2i2i4i−4i2i−2i−4i4i-20002-22000000000−2i2i2i−2i000000000000000000000000000000000000000000000000000000−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ220000000000000000
χ1074-44-44i−4i−4i4i00-2400-4422-2-4−2i2i4i−4i2i−2i−4i4i-20002-22000000000−2i2i2i−2i000000000000000000000000000000000000000000000000000000ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ220000000000000000
χ1084-44-4−4i4i4i−4i004400-44-4-44-4−4i4i−4i4i4i−4i4i−4i4000-44-4000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1094-44-4−4i4i4i−4i004-2002-2-4-442−4i4i2i−2i4i−4i−2i2i-20002-220000000002i−2i−2i2i000000000000−2ζ7+2ζ232ζ7−2ζ232ζ7−2ζ23−2ζ7+2ζ232ζ5−2ζ13−2ζ5+2ζ13−2ζ5+2ζ132ζ5−2ζ130000000000000000000000000000000000000000000000000000000000
χ1104-44-4−4i4i4i−4i004-2002-2-4-442−4i4i2i−2i4i−4i−2i2i-20002-220000000002i−2i−2i2i0000000000002ζ7−2ζ23−2ζ7+2ζ23−2ζ7+2ζ232ζ7−2ζ23−2ζ5+2ζ132ζ5−2ζ132ζ5−2ζ13−2ζ5+2ζ130000000000000000000000000000000000000000000000000000000000
χ1114-44-4−4i4i4i−4i00-2400-4422-2-42i−2i−4i4i−2i2i4i−4i-20002-220000000002i−2i−2i2i000000000000000000000000000000000000000000000000000000−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ220000000000000000
χ1124-44-4−4i4i4i−4i00-2400-4422-2-42i−2i−4i4i−2i2i4i−4i-20002-220000000002i−2i−2i2i000000000000000000000000000000000000000000000000000000ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ220000000000000000
χ1134-4-4444-4-44-4-244-4-4-4-2224-2-24422-4-4-2-24-422-220000-224-4-2-22200000000000000000000-22-22000000000000000000000000000000000000000000000000000000
χ1144-4-4444-4-44-4-2-24-422-222-2-2-2-2-222221-2-22-1-1120000-22-2211-1-123−2323−2323−2323−230000000000001-11-10000−33−33−33−33000000000000000000000000000000000000000000
χ1154-4-4444-4-44-4-2-24-422-222-2-2-2-2-222221-2-22-1-1120000-22-2211-1-1−2323−2323−2323−23230000000000001-11-100003−33−33−33−3000000000000000000000000000000000000000000
χ1164-4-4444-4-4-44-2-2-4422-222-2-2-2-2-22222122-2-1-11-24i−4i4i−4i2-22-211-1-1−2i2i2i−2i−2i2i2i−2i000000000000-11-11−2i2i−2i2ii−i−iii−i−ii000000000000000000000000000000000000000000
χ1174-4-4444-4-4-44-2-2-4422-222-2-2-2-2-22222122-2-1-11-2−4i4i−4i4i2-22-211-1-12i−2i−2i2i2i−2i−2i2i000000000000-11-112i−2i2i−2i−iii−i−iii−i000000000000000000000000000000000000000000
χ1184-4-44-4-4444-4-2-2-4422-222-22222-2-2-2-21-2-22-1-1124-4-442-22-2-1-111-222-22-2-220000000000001-1-11-222-21-1-11-111-1000000000000000000000000000000000000000000
χ1194-4-44-4-4444-4-2-2-4422-222-22222-2-2-2-21-2-22-1-112-444-42-22-2-1-1112-2-22-222-20000000000001-1-112-2-22-111-11-1-11000000000000000000000000000000000000000000
χ1204-4-44-4-444-44-244-4-4-4-222422-4-4-2-244-22-4422-2-20000-224-422-2-2000000000000000000002-2-22000000000000000000000000000000000000000000000000000000
χ1214-4-44-4-444-44-2-24-422-222-22222-2-2-2-2122-2-1-11-20000-22-22-1-111−2i32i3−2i32i32i3−2i32i3−2i3000000000000-111-10000i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000000000000000
χ1224-4-44-4-444-44-2-24-422-222-22222-2-2-2-2122-2-1-11-20000-22-22-1-1112i3−2i32i3−2i3−2i32i3−2i32i3000000000000-111-10000−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000000000000000
χ12388-8-88i−8i8i−8i00-4-400-444-444−4i4i−4i4i−4i4i−4i4i20002-2-20000000002i−2i2i−2i000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12488-8-8−8i8i−8i8i00-4-400-444-4444i−4i4i−4i4i−4i4i−4i20002-2-2000000000−2i2i−2i2i000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-88-88i−8i−8i8i00-4-4004-444-44−4i4i−4i4i4i−4i4i−4i2000-22-20000000002i−2i−2i2i000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-88-8−8i8i8i−8i00-4-4004-444-444i−4i4i−4i−4i4i−4i4i2000-22-2000000000−2i2i2i−2i000000000000000000000000000000000000000000000000000000000000000000000000000000

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