Finite Group Databasebeta

← Group #11777850

Character table — Group #11777850

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444666666666666666688888888888888888888881212121212121212121212121212121218181818181818182424242424242424242424247272
order1222444433444466666612121212121212123666121212121212121212121212888888888888888888121212122424242424242424242424242424242424242424242424242424242424242424888888884488121212122424242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1
χ91111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1iiii−i−i−i−i1111-1-1-1-1i−i11-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−iii−i−i1-1i−i11-1-1ii−i−i1-1
χ101111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1iiii−i−i−i−i1111-1-1-1-1−ii11-1-1−i−iii−i−iii−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1ii−i−iii−i−i-11−ii-1-111−i−iii-11
χ111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1iiii−i−i−i−i-1-1-1-11111i−i11-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−iii−i−iii1-1−ii11-1-1−i−iii-11
χ121111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1iiii−i−i−i−i-1-1-1-11111−ii11-1-1−i−iii−i−iii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−iii−i−iii-11i−i-1-111ii−i−i1-1
χ131111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1−i−i−i−iiiii1111-1-1-1-1i−i11-1-1ii−i−iii−i−iiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1−i−iii−i−iii-11i−i-1-111ii−i−i-11
χ141111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1−i−i−i−iiiii1111-1-1-1-1−ii11-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii−i−iii1-1−ii11-1-1−i−iii1-1
χ151111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1−i−i−i−iiiii-1-1-1-11111i−i11-1-1ii−i−iii−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111ii−i−iii−i−i-11−ii-1-111−i−iii1-1
χ161111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1−i−i−i−iiiii-1-1-1-11111−ii11-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111ii−i−iii−i−i1-1i−i11-1-1ii−i−i-11
χ172222222222-2-2-2-2222222222222222222-2-2-2-22222-2-2-2-2000000000000000000-2-2-2-2000000000000000000000000000000002222-2-2-2-200000000000000
χ182222222222-2-2-2-2222222222222222222-2-2-2-22222-2-2-2-2000000000000000000-2-2-2-200000000000000000000000000000000-2-2-2-2222200000000000000
χ19222222222-12222222-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1222222220000000022-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002200-1-1-1-1000000
χ20222222222-12222222-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-12222222200000000-2-2-1-1-1-11111-2-2-2-211111111-1-1-1-1-1-1-1-10000000000000000-2-2001111000000
χ21222222222-12222222-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-2-2-2-2-2-2-2-20000000022-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1111111110000000000000000-2-2001111000000
χ22222222222-12222222-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-2-2-2-2-2-2-2-200000000-2-2-1-1-1-11111-2-2-2-2111111111111111100000000000000002200-1-1-1-1000000
χ2322222222-122222-1-1-1222-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-122000000002222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000000000220000-1-1-1-100
χ2422222222-122222-1-1-1222-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1220000000022222222-2-2-1-1-1-1-2-2-2-211111111111100000000-1-1-1-1-1-1-1-10000000000-2-20000111100
χ2522222222-122222-1-1-1222-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-12200000000-2-2-2-2-2-2-2-222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000111111110000000000-2-20000111100
χ2622222222-122222-1-1-1222-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-12200000000-2-2-2-2-2-2-2-2-2-2-1-1-1-1-2-2-2-211111111111100000000111111110000000000220000-1-1-1-100
χ272222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-222000000000000000000-2-222000000000000000000000000000000002i2i−2i−2i−2i−2i2i2i00000000000000
χ282222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-222000000000000000000-2-22200000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000
χ292222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-1-2-2-1-1111122112i2i2i2i−2i−2i−2i−2i000000002i−2i-1-111−i−iii2i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii00000000000000002-200-1-111000000
χ302222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-1-2-2-1-1111122112i2i2i2i−2i−2i−2i−2i00000000−2i2i-1-111ii−i−i−2i−2i2i2iiiii−i−i−i−i−i−i−i−iiiii0000000000000000-220011-1-1000000
χ312222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-1-2-2-1-111112211−2i−2i−2i−2i2i2i2i2i000000002i−2i-1-111−i−iii2i2i−2i−2i−i−i−i−iiiiiiiii−i−i−i−i0000000000000000-220011-1-1000000
χ322222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-1-2-2-1-111112211−2i−2i−2i−2i2i2i2i2i00000000−2i2i-1-111ii−i−i−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i00000000000000002-200-1-111000000
χ332222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-111221111-1-1-2-2000000002222-2-2-2-22i−2i-1-1112i2i−2i−2i−i−iii−i−i−i−iiiii00000000-1-1-1-1111100000000002i−2i0000−i−iii00
χ342222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-111221111-1-1-2-2000000002222-2-2-2-2−2i2i-1-111−2i−2i2i2iii−i−iiiii−i−i−i−i00000000-1-1-1-111110000000000−2i2i0000ii−i−i00
χ352222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-111221111-1-1-2-200000000-2-2-2-222222i−2i-1-1112i2i−2i−2i−i−iii−i−i−i−iiiii000000001111-1-1-1-10000000000−2i2i0000ii−i−i00
χ362222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-111221111-1-1-2-200000000-2-2-2-22222−2i2i-1-111−2i−2i2i2iii−i−iiiii−i−i−i−i000000001111-1-1-1-100000000002i−2i0000−i−iii00
χ3722-2-222-2-22200002-2-22-2-22222-2-2-2-222-2-2000022-2-2000022−2−222−2−222−2−222−2−2000000000000000000000022−2−222−2−222−2−222−2−22-22-2000000000000000000
χ3822-2-222-2-22200002-2-22-2-22222-2-2-2-222-2-2000022-2-2000022−2−222−2−2−2−222−2−222000000000000000000000022−2−222−2−2−2−222−2−222-22-22000000000000000000
χ3922-2-222-2-22200002-2-22-2-22222-2-2-2-222-2-2000022-2-20000−2−222−2−22222−2−222−2−20000000000000000000000−2−222−2−22222−2−222−2−2-22-22000000000000000000
χ4022-2-222-2-22200002-2-22-2-22222-2-2-2-222-2-2000022-2-20000−2−222−2−222−2−222−2−2220000000000000000000000−2−222−2−222−2−222−2−2222-22-2000000000000000000
χ4122-2-2-2-2222200002-2-22-2-2-2-2-2-2222222-2-20000-2-2220000−i2−i2i2i2i2i2−i2−i222−2−2−2−2220000000000000000000000−i2−i2i2i2i2i2−i2−i222−2−2−2−222−2i2i2i−2i000000000000000000
χ4222-2-2-2-2222200002-2-22-2-2-2-2-2-2222222-2-20000-2-2220000−i2−i2i2i2i2i2−i2−i2−2−22222−2−20000000000000000000000−i2−i2i2i2i2i2−i2−i2−2−22222−2−22i−2i−2i2i000000000000000000
χ4322-2-2-2-2222200002-2-22-2-2-2-2-2-2222222-2-20000-2-2220000i2i2−i2−i2−i2−i2i2i222−2−2−2−2220000000000000000000000i2i2−i2−i2−i2−i2i2i222−2−2−2−2222i−2i−2i2i000000000000000000
χ4422-2-2-2-2222200002-2-22-2-2-2-2-2-2222222-2-20000-2-2220000i2i2−i2−i2−i2−i2i2i2−2−22222−2−20000000000000000000000i2i2−i2−i2−i2−i2i2i2−2−22222−2−2−2i2i2i−2i000000000000000000
χ452-22-22i−2i2i−2i220000-22-2-22-22i−2i2i−2i2i−2i2i−2i2-22-200002i−2i2i−2i00001+i−1−i1+i−1−i1−i−1+i1−i−1+i2−22−2−i2i2−i2i200000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i2−22−2−i2i2−i2i200002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000000000
χ462-22-22i−2i2i−2i220000-22-2-22-22i−2i2i−2i2i−2i2i−2i2-22-200002i−2i2i−2i00001+i−1−i1+i−1−i1−i−1+i1−i−1+i−22−22i2−i2i2−i200000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i−22−22i2−i2i2−i20000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000000000
χ472-22-22i−2i2i−2i220000-22-2-22-22i−2i2i−2i2i−2i2i−2i2-22-200002i−2i2i−2i0000−1−i1+i−1−i1+i−1+i1−i−1+i1−i2−22−2−i2i2−i2i20000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i2−22−2−i2i2−i2i20000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000000000
χ482-22-22i−2i2i−2i220000-22-2-22-22i−2i2i−2i2i−2i2i−2i2-22-200002i−2i2i−2i0000−1−i1+i−1−i1+i−1+i1−i−1+i1−i−22−22i2−i2i2−i20000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i−22−22i2−i2i2−i200002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000000000
χ492-22-2−2i2i−2i2i220000-22-2-22-2−2i2i−2i2i−2i2i−2i2i2-22-20000−2i2i−2i2i00001−i−1+i1−i−1+i1+i−1−i1+i−1−i2−22−2i2−i2i2−i200000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i2−22−2i2−i2i2−i20000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000000000
χ502-22-2−2i2i−2i2i220000-22-2-22-2−2i2i−2i2i−2i2i−2i2i2-22-20000−2i2i−2i2i00001−i−1+i1−i−1+i1+i−1−i1+i−1−i−22−22−i2i2−i2i200000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i−22−22−i2i2−i2i200002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000000000
χ512-22-2−2i2i−2i2i220000-22-2-22-2−2i2i−2i2i−2i2i−2i2i2-22-20000−2i2i−2i2i0000−1+i1−i−1+i1−i−1−i1+i−1−i1+i2−22−2i2−i2i2−i20000000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i2−22−2i2−i2i2−i200002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000000000
χ522-22-2−2i2i−2i2i220000-22-2-22-2−2i2i−2i2i−2i2i−2i2i2-22-20000−2i2i−2i2i0000−1+i1−i−1+i1−i−1−i1+i−1−i1+i−22−22−i2i2−i2i20000000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i−22−22−i2i2−i2i20000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000000000
χ532-2-222i−2i−2i2i222-22i−2i-2-22-2-222i−2i2i−2i−2i2i−2i2i2-2-222i−2i2-22i−2i−2i2i2-22i−2i000000002-2-22−2i2i2i−2i002-22i−2i0000000000000000000000002-2-22−2i2i2i−2i0000000000000000000000
χ542-2-222i−2i−2i2i222-22i−2i-2-22-2-222i−2i2i−2i−2i2i−2i2i2-2-222i−2i2-22i−2i−2i2i2-22i−2i00000000-222-22i−2i−2i2i002-22i−2i000000000000000000000000-222-22i−2i−2i2i0000000000000000000000
χ552-2-222i−2i−2i2i22-22−2i2i-2-22-2-222i−2i2i−2i−2i2i−2i2i2-2-22−2i2i-222i−2i−2i2i-22−2i2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ130000000000-22−2i2i00000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13000000000000000000000000000000
χ562-2-222i−2i−2i2i22-22−2i2i-2-22-2-222i−2i2i−2i−2i2i−2i2i2-2-22−2i2i-222i−2i−2i2i-22−2i2i−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ130000000000-22−2i2i0000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ13000000000000000000000000000000
χ572-2-222i−2i−2i2i2-1-22−2i2i-2-2211-12i−2i−iii−i−2i2i-111-1−2i2i1-1−iii−i-22i−i2ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ1300000000001-1i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13000000000000000000003−3−i3i3000000
χ582-2-222i−2i−2i2i2-1-22−2i2i-2-2211-12i−2i−iii−i−2i2i-111-1−2i2i1-1−iii−i-22i−i2ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ1300000000001-1i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ1300000000000000000000−33i3−i3000000
χ592-2-222i−2i−2i2i2-1-22−2i2i-2-2211-12i−2i−iii−i−2i2i-111-1−2i2i1-1−iii−i-22i−i−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ1300000000001-1i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ1300000000000000000000−33i3−i3000000
χ602-2-222i−2i−2i2i2-1-22−2i2i-2-2211-12i−2i−iii−i−2i2i-111-1−2i2i1-1−iii−i-22i−i−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ1300000000001-1i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13000000000000000000003−3−i3i3000000
χ612-2-222i−2i−2i2i-122-22i−2i11-1-2-22−ii2i−2i−2i2ii−i-111-1−ii2-2−iii−i-112i−2i000000002-2-22−2i2i2i−2i00-11−ii0000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300000000-111-1i−i−ii0000000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300
χ622-2-222i−2i−2i2i-122-22i−2i11-1-2-22−ii2i−2i−2i2ii−i-111-1−ii2-2−iii−i-112i−2i000000002-2-22−2i2i2i−2i00-11−ii0000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300000000-111-1i−i−ii0000000000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300
χ632-2-222i−2i−2i2i-122-22i−2i11-1-2-22−ii2i−2i−2i2ii−i-111-1−ii2-2−iii−i-112i−2i00000000-222-22i−2i−2i2i00-11−ii0000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23000000001-1-11−iii−i0000000000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300
χ642-2-222i−2i−2i2i-122-22i−2i11-1-2-22−ii2i−2i−2i2ii−i-111-1−ii2-2−iii−i-112i−2i00000000-222-22i−2i−2i2i00-11−ii0000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23000000001-1-11−iii−i0000000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300
χ652-2-22−2i2i2i−2i222-2−2i2i-2-22-2-22−2i2i−2i2i2i−2i2i−2i2-2-22−2i2i2-2−2i2i2i−2i2-2−2i2i000000002-2-222i−2i−2i2i002-2−2i2i0000000000000000000000002-2-222i−2i−2i2i0000000000000000000000
χ662-2-22−2i2i2i−2i222-2−2i2i-2-22-2-22−2i2i−2i2i2i−2i2i−2i2-2-22−2i2i2-2−2i2i2i−2i2-2−2i2i00000000-222-2−2i2i2i−2i002-2−2i2i000000000000000000000000-222-2−2i2i2i−2i0000000000000000000000
χ672-2-22−2i2i2i−2i22-222i−2i-2-22-2-22−2i2i−2i2i2i−2i2i−2i2-2-222i−2i-22−2i2i2i−2i-222i−2i−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ230000000000-222i−2i0000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ23000000000000000000000000000000
χ682-2-22−2i2i2i−2i22-222i−2i-2-22-2-22−2i2i−2i2i2i−2i2i−2i2-2-222i−2i-22−2i2i2i−2i-222i−2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ230000000000-222i−2i00000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23000000000000000000000000000000
χ692-2-22−2i2i2i−2i2-1-222i−2i-2-2211-1−2i2ii−i−ii2i−2i-111-12i−2i1-1i−i−ii-22−ii−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ2300000000001-1−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23000000000000000000003−3i3−i3000000
χ702-2-22−2i2i2i−2i2-1-222i−2i-2-2211-1−2i2ii−i−ii2i−2i-111-12i−2i1-1i−i−ii-22−ii−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ2300000000001-1−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ2300000000000000000000−33−i3i3000000
χ712-2-22−2i2i2i−2i2-1-222i−2i-2-2211-1−2i2ii−i−ii2i−2i-111-12i−2i1-1i−i−ii-22−ii2ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ2300000000001-1−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ2300000000000000000000−33−i3i3000000
χ722-2-22−2i2i2i−2i2-1-222i−2i-2-2211-1−2i2ii−i−ii2i−2i-111-12i−2i1-1i−i−ii-22−ii2ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ2300000000001-1−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23000000000000000000003−3i3−i3000000
χ732-2-22−2i2i2i−2i-122-2−2i2i11-1-2-22i−i−2i2i2i−2i−ii-111-1i−i2-2i−i−ii-11−2i2i000000002-2-222i−2i−2i2i00-11i−i0000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ1300000000-111-1−iii−i0000000000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300
χ742-2-22−2i2i2i−2i-122-2−2i2i11-1-2-22i−i−2i2i2i−2i−ii-111-1i−i2-2i−i−ii-11−2i2i000000002-2-222i−2i−2i2i00-11i−i0000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ1300000000-111-1−iii−i0000000000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300
χ752-2-22−2i2i2i−2i-122-2−2i2i11-1-2-22i−i−2i2i2i−2i−ii-111-1i−i2-2i−i−ii-11−2i2i00000000-222-2−2i2i2i−2i00-11i−i0000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13000000001-1-11i−i−ii0000000000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300
χ762-2-22−2i2i2i−2i-122-2−2i2i11-1-2-22i−i−2i2i2i−2i−ii-111-1i−i2-2i−i−ii-11−2i2i00000000-222-2−2i2i2i−2i00-11i−i0000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13000000001-1-11i−i−ii0000000000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300
χ77444444444-2-4-4-4-4444-2-2-244-2-2-2-244-2-2-2-2-4-422-2-2-2-2-4-4220000000000000000002222000000000000000000000000000000000000000000000000000000
χ7844444444-24-4-4-4-4-2-2-2444-2-24444-2-2-2-2-2-222-4-4-2-2-2-222-4-40000000000000000002222000000000000000000000000000000000000000000000000000000
χ7944444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-21111-2-2-2-20000000000000000441111-2-2-2-2-2-2-2-21111111100000000000000000000000000000000000000
χ8044444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-21111-2-2-2-20000000000000000-4-4111122222222-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ8144444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-21111222211112222000000000000000000-1-1-1-1000000003-3-333-3-3300000000000000000000000000000000000000
χ8244444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-21111222211112222000000000000000000-1-1-1-100000000-333-3-333-300000000000000000000000000000000000000
χ834444-4-4-4-44-2-4-444444-2-2-2-4-42222-4-4-2-2-2-244222222-4-4-2-200000000000000000022-2-2000000000000000000000000000000000000000000000000000000
χ844444-4-4-4-4-24-4-444-2-2-244422-4-4-4-422-2-2-2-2-2-2-4-42222224400000000000000000022-2-2000000000000000000000000000000000000000000000000000000
χ854444-4-4-4-4-2-244-4-4-2-2-2-2-2-222222222111122-2-2-1-1-1-1-2-22200000000000000004i−4i11-1-1−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−i00000000000000000000000000000000000000
χ864444-4-4-4-4-2-244-4-4-2-2-2-2-2-222222222111122-2-2-1-1-1-1-2-2220000000000000000−4i4i11-1-12i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii00000000000000000000000000000000000000
χ874444-4-4-4-4-2-2-4-444-2-2-2-2-2-2222222221111-2-222-1-1-1-122-2-2000000000000000000-1-111000000003i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000000000
χ884444-4-4-4-4-2-2-4-444-2-2-2-2-2-2222222221111-2-222-1-1-1-122-2-2000000000000000000-1-11100000000−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000000000
χ8944-4-444-4-44-200004-4-4-22244-2-222-4-4-2-2220000-2-22200002222−22−222222−22−22000000000000000000000000000000−2−222−2−222000000000000000000000000000000
χ9044-4-444-4-44-200004-4-4-22244-2-222-4-4-2-2220000-2-2220000−22−222222−22−22222200000000000000000000000000000022−2−222−2−2000000000000000000000000000000
χ9144-4-444-4-4-240000-2224-4-4-2-244-4-422-2-2220000-2-2220000000000002222−22−222222−22−22000000000000000000000000000000−2−222−2−2220000000000000000000000
χ9244-4-444-4-4-240000-2224-4-4-2-244-4-422-2-2220000-2-222000000000000−22−222222−22−22222200000000000000000000000000000022−2−222−2−20000000000000000000000
χ9344-4-4-4-4444-200004-4-4-222-4-422-2-244-2-222000022-2-20000−2i2−2i22i22i22i22i2−2i2−2i2000000000000000000000000000000i2i2−i2−i2−i2−i2i2i2000000000000000000000000000000
χ9444-4-4-4-4444-200004-4-4-222-4-422-2-244-2-222000022-2-200002i22i2−2i2−2i2−2i2−2i22i22i2000000000000000000000000000000−i2−i2i2i2i2i2−i2−i2000000000000000000000000000000
χ9544-4-4-4-444-240000-2224-4-422-4-444-2-2-2-222000022-2-20000000000002222−22−22−22−222222000000000000000000000000000000−2−22222−2−20000000000000000000000
χ9644-4-4-4-444-240000-2224-4-422-4-444-2-2-2-222000022-2-2000000000000−22−2222222222−22−2200000000000000000000000000000022−2−2−2−2220000000000000000000000
χ974-44-44i−4i4i−4i4-20000-44-42-224i−4i−2i2i−2i2i4i−4i-22-220000−2i2i−2i2i00002+2i−2−2i2+2i−2−2i2−2i−2+2i2−2i−2+2i000000000000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000000000000000000000
χ984-44-44i−4i4i−4i4-20000-44-42-224i−4i−2i2i−2i2i4i−4i-22-220000−2i2i−2i2i0000−2−2i2+2i−2−2i2+2i−2+2i2−2i−2+2i2−2i0000000000000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000000000000000000000
χ994-44-44i−4i4i−4i-2400002-22-44-4−2i2i4i−4i4i−4i−2i2i-22-220000−2i2i−2i2i00000000000022−2222−22−2i22i2−2i22i2000000000000000000000000000000−22−22i2−i2i2−i20000000000000000000000
χ1004-44-44i−4i4i−4i-2400002-22-44-4−2i2i4i−4i4i−4i−2i2i-22-220000−2i2i−2i2i000000000000−2222−22222i2−2i22i2−2i20000000000000000000000000000002−22−2−i2i2−i2i20000000000000000000000
χ1014-44-4−4i4i−4i4i4-20000-44-42-22−4i4i2i−2i2i−2i−4i4i-22-2200002i−2i2i−2i00002−2i−2+2i2−2i−2+2i2+2i−2−2i2+2i−2−2i000000000000000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000000000000000000000
χ1024-44-4−4i4i−4i4i4-20000-44-42-22−4i4i2i−2i2i−2i−4i4i-22-2200002i−2i2i−2i0000−2+2i2−2i−2+2i2−2i−2−2i2+2i−2−2i2+2i0000000000000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000000000000000000000
χ1034-44-4−4i4i−4i4i-2400002-22-44-42i−2i−4i4i−4i4i2i−2i-22-2200002i−2i2i−2i00000000000022−2222−222i2−2i22i2−2i2000000000000000000000000000000−22−22−i2i2−i2i20000000000000000000000
χ1044-44-4−4i4i−4i4i-2400002-22-44-42i−2i−4i4i−4i4i2i−2i-22-2200002i−2i2i−2i000000000000−2222−2222−2i22i2−2i22i20000000000000000000000000000002−22−2i2−i2i2−i20000000000000000000000
χ1054-4-444i−4i−4i4i4-24-44i−4i-4-4422-24i−4i−2i2i2i−2i−4i4i-222-24i−4i-22−2i2i2i−2i4-4−2i2i000000000000000000-22−2i2i000000000000000000000000000000000000000000000000000000
χ1064-4-444i−4i−4i4i-24-44−4i4i22-2-4-44−2i2i4i−4i−4i4i2i−2i-222-22i−2i-44−2i2i2i−2i2-2−4i4i0000000000000000002-22i−2i000000000000000000000000000000000000000000000000000000
χ1074-4-444i−4i−4i4i-2-24-44i−4i22-222-2−2i2i−2i2i2i−2i2i−2i1-1-11−2i2i-22i−i−ii-22−2i2i0000000000000000001-1i−i00002ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300000000000000000000000000000000000000
χ1084-4-444i−4i−4i4i-2-24-44i−4i22-222-2−2i2i−2i2i2i−2i2i−2i1-1-11−2i2i-22i−i−ii-22−2i2i0000000000000000001-1i−i0000−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300000000000000000000000000000000000000
χ1094-4-444i−4i−4i4i-2-2-44−4i4i22-222-2−2i2i−2i2i2i−2i2i−2i1-1-112i−2i2-2i−i−ii2-22i−2i000000000000000000-11−ii2ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ230000−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ2300000000000000000000000000000000000000
χ1104-4-444i−4i−4i4i-2-2-44−4i4i22-222-2−2i2i−2i2i2i−2i2i−2i1-1-112i−2i2-2i−i−ii2-22i−2i000000000000000000-11−ii−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ230000ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ2300000000000000000000000000000000000000
χ1114-4-44−4i4i4i−4i4-24-4−4i4i-4-4422-2−4i4i2i−2i−2i2i4i−4i-222-2−4i4i-222i−2i−2i2i4-42i−2i000000000000000000-222i−2i000000000000000000000000000000000000000000000000000000
χ1124-4-44−4i4i4i−4i-24-444i−4i22-2-4-442i−2i−4i4i4i−4i−2i2i-222-2−2i2i-442i−2i−2i2i2-24i−4i0000000000000000002-2−2i2i000000000000000000000000000000000000000000000000000000
χ1134-4-44−4i4i4i−4i-2-24-4−4i4i22-222-22i−2i2i−2i−2i2i−2i2i1-1-112i−2i-22−iii−i-222i−2i0000000000000000001-1−ii0000−2ζ7+2ζ232ζ7−2ζ232ζ5−2ζ13−2ζ5+2ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ1300000000000000000000000000000000000000
χ1144-4-44−4i4i4i−4i-2-24-4−4i4i22-222-22i−2i2i−2i−2i2i−2i2i1-1-112i−2i-22−iii−i-222i−2i0000000000000000001-1−ii00002ζ7−2ζ23−2ζ7+2ζ23−2ζ5+2ζ132ζ5−2ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ1300000000000000000000000000000000000000
χ1154-4-44−4i4i4i−4i-2-2-444i−4i22-222-22i−2i2i−2i−2i2i−2i2i1-1-11−2i2i2-2−iii−i2-2−2i2i000000000000000000-11i−i−2ζ7+2ζ232ζ7−2ζ232ζ5−2ζ13−2ζ5+2ζ130000ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ1300000000000000000000000000000000000000
χ1164-4-44−4i4i4i−4i-2-2-444i−4i22-222-22i−2i2i−2i−2i2i−2i2i1-1-11−2i2i2-2−iii−i2-2−2i2i000000000000000000-11i−i2ζ7−2ζ23−2ζ7+2ζ23−2ζ5+2ζ132ζ5−2ζ130000−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ1300000000000000000000000000000000000000
χ11788-8-888-8-8-4-40000-444-444-4-4-4-4444422-2-2000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-8-8-888-4-40000-444-4444444-4-4-4-422-2-20000-2-22200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-88i−8i8i−8i-4-400004-444-44−4i4i−4i4i−4i4i−4i4i2-22-200002i−2i2i−2i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-88-8−8i8i−8i8i-4-400004-444-444i−4i4i−4i4i−4i4i−4i2-22-20000−2i2i−2i2i00000000000000000000000000000000000000000000000000000000000000000000000000000000

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