Finite Group Databasebeta

← Group #13170500

Character table — Group #13170500

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111222222222222224444444444444444446666666666668888888888888812121212121212121212121212121212121212121212121218181818181818181818181818181818181818181818181824242424242424242424242436363636363654545454
order1244233346661212121212123336666661212121212121212122222444488883666666121212121212126666666612121212121212122424242424242424224466888888881212242424242424242466661212121224242424612242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-111-1-111111111111111111111-1-111-1-111-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-111-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-111-1-1-1-1-1-11111111111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111-1-111-1-111111111111111111111-1-111-1-111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-111-1-1-1-1
χ6111111111111111111111111111111111111-1-111-1-111-1-1-1-111111111111111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-11111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ91111-1111-1111111111111-1-1-1111-1-1-11111111-11-11-11-111-1-11-1-1-1-1-11-1-1-111-1-11-11-11-11-11-11-11-11-11111-1-1-1-11-11-11111-1-111-1-1111111-1-1-1-11-11-11-11-111-1-1-1-1-1-11111-1-1
χ101111-1111-1111111111111-1-1-1111-1-1-11111111-11-11-11-1-1-1111-1-1-1-1-11-1-1-111-1-11-11-11-11-11-11-11-11-1-1-1-1-111111-11-111-1-111-1-11111-1-1-1-111111-11-11-11-1-1-111-1-111-1-1-1-111
χ111111-1111-1111111111111-1-1-1111-1-1-11111111-1-111-1-1111-1-11-1-1-1-1-11-1-1-111-1-11-1-111-1-111-1-111-1-111111-1-1-1-1-11-11-1-111-1-1-1-111-1-1111111111-1-111-1-1111-1-111-1-1-1-1-1-111
χ121111-1111-1111111111111-1-1-1111-1-1-11111111-1-111-1-11-1-1111-1-1-1-1-11-1-1-111-1-11-1-111-1-111-1-111-1-11-1-1-1-11111-11-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11-1-11111111111-1-1
χ131111-1111-1111111111111-1-1-1111-1-1-1111111-111-1-111-111-1-11-1-1-1-1-11-1-1-111-1-1-111-1-111-1-111-1-111-11111-1-1-1-1-11-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-1111111-1-111
χ141111-1111-1111111111111-1-1-1111-1-1-1111111-111-1-111-1-1-1111-1-1-1-1-11-1-1-111-1-1-111-1-111-1-111-1-111-1-1-1-1-11111-11-11-1-111-1-1-1-111-1-111111111-111-1-111-1-1-11111-1-1-1-111-1-1
χ151111-1111-1111111111111-1-1-1111-1-1-1111111-11-11-11-1111-1-11-1-1-1-1-11-1-1-111-1-1-11-11-11-11-11-11-11-111111-1-1-1-11-11-111-1-111-1-11111-1-1-1-11111-11-11-11-1111-1-1-1-111-1-111-1-1
χ161111-1111-1111111111111-1-1-1111-1-1-1111111-11-11-11-11-1-1111-1-1-1-1-11-1-1-111-1-1-11-11-11-11-11-11-11-11-1-1-1-111111-11-11111-1-111-1-1111111-1-1-1-1-11-11-11-11-1-111-1-1-1-111-1-111
χ1711-1-11111-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-11-1-11-11i−ii−i1111111-1-1-1-1-1-1-11-11-11-11-1-11-11-11-11ii−i−iii−i−i11-1-111i−ii−ii−ii−i-1-1ii−i−iii−i−i1-11-1-11-11i−ii−i1-1i−ii−ii−ii−i
χ1811-1-11111-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-11-1-11-11−ii−ii1111111-1-1-1-1-1-1-11-11-11-11-1-11-11-11-11−i−iii−i−iii11-1-111−ii−ii−ii−ii-1-1−i−iii−i−iii1-11-1-11-11−ii−ii1-1−ii−ii−ii−ii
χ1911-1-11111-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-1-11-111-1i−ii−i1111111-1-1-1-1-1-1-11-1-111-1-11-111-1-111-1ii−i−iii−i−i-1-111-1-1i−ii−i−ii−ii11ii−i−i−i−iii1-1-11-111-1i−ii−i-11i−i−ii−ii−ii
χ2011-1-11111-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-1-11-111-1−ii−ii1111111-1-1-1-1-1-1-11-1-111-1-11-111-1-111-1−i−iii−i−iii-1-111-1-1−ii−iii−ii−i11−i−iiiii−i−i1-1-11-111-1−ii−ii-11−iii−ii−ii−i
χ2111-1-11111-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-11-1-11i−ii−i1111111-1-1-1-1-1-1-1-111-1-111-11-1-111-1-11ii−i−iii−i−i-1-111-1-1−ii−iii−ii−i11−i−iiiii−i−i-111-11-1-11i−ii−i-11−iii−i−ii−ii
χ2211-1-11111-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-11-1-11−ii−ii1111111-1-1-1-1-1-1-1-111-1-111-11-1-111-1-11−i−iii−i−iii-1-111-1-1i−ii−i−ii−ii11ii−i−i−i−iii-111-11-1-11−ii−ii-11i−i−iii−ii−i
χ2311-1-11111-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11-111-11-1i−ii−i1111111-1-1-1-1-1-1-1-11-11-11-111-11-11-11-1ii−i−iii−i−i11-1-111−ii−ii−ii−ii-1-1−i−iii−i−iii-11-111-11-1i−ii−i1-1−ii−iii−ii−i
χ2411-1-11111-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11-111-11-1−ii−ii1111111-1-1-1-1-1-1-1-11-11-11-111-11-11-11-1−i−iii−i−iii11-1-111i−ii−ii−ii−i-1-1ii−i−iii−i−i-11-111-11-1−ii−ii1-1i−ii−i−ii−ii
χ2511-1-1-11111111-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-11111-1-1-1-1i−i−ii1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1ii−i−i−i−iii1-1-1111i−i−iii−i−ii-1-1ii−i−i−i−iii1111-1-1-1-1i−i−ii-11−iii−ii−i−ii
χ2611-1-1-11111111-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-11111-1-1-1-1−iii−i1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1−i−iiiii−i−i1-1-1111−iii−i−iii−i-1-1−i−iiiii−i−i1111-1-1-1-1−iii−i-11i−i−ii−iii−i
χ2711-1-1-11111111-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-111-1-1-1-111i−i−ii1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-1-111ii−i−i−i−iii-111-1-1-1i−i−ii−iii−i11ii−i−iii−i−i11-1-1-1-111i−i−ii1-1−ii−ii−iii−i
χ2811-1-1-11111111-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-111-1-1-1-111−iii−i1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-1-111−i−iiiii−i−i-111-1-1-1−iii−ii−i−ii11−i−iii−i−iii11-1-1-1-111−iii−i1-1i−ii−ii−i−ii
χ2911-1-1-11111111-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-11111-1-1i−i−ii1-1-1-1-1-11111-1-111-1-111-1-11111-1-111-1-1ii−i−i−i−iii-111-1-1-1−iii−ii−i−ii11−i−iii−i−iii-1-11111-1-1i−i−ii1-1i−ii−i−iii−i
χ3011-1-1-11111111-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-11111-1-1−iii−i1-1-1-1-1-11111-1-111-1-111-1-11111-1-111-1-1−i−iiiii−i−i-111-1-1-1i−i−ii−iii−i11ii−i−iii−i−i-1-11111-1-1−iii−i1-1−ii−iii−i−ii
χ3111-1-1-11111111-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-1-1-11111i−i−ii1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111ii−i−i−i−iii1-1-1111−iii−i−iii−i-1-1−i−iiiii−i−i-1-1-1-11111i−i−ii-11i−i−iii−i−ii
χ3211-1-1-11111111-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-1-1-11111−iii−i1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111−i−iiiii−i−i1-1-1111i−i−iii−i−ii-1-1ii−i−i−i−iii-1-1-1-11111−iii−i-11−iii−i−iii−i
χ332222222-1222-1-1-122222-1-122-12-1-122-1-1-1-1-122222222220000-12-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1000000002222-1-100000000-1-100000000-1-1-1-1-1-1-1-10000-1-100000000
χ342222222-1222-1-1-122222-1-122-12-1-122-1-1-1-1-12222-2-222-2-20000-12-1-1-1-1-12-1-1-1-1-1-122-2-2-1-11122-2-2-1-11100000000-2-2-2-211000000001100000000-1-111-1-11100001100000000
χ352222222-1222-1-1-122222-1-122-12-1-122-1-1-1-1-122-2-222-2-2220000-12-1-1-1-1-12-1-1-1-1-1-1-2-22211-1-1-2-22211-1-100000000-2-2-2-21100000000110000000011-1-111-1-100001100000000
χ362222222-1222-1-1-122222-1-122-12-1-122-1-1-1-1-122-2-2-2-2-2-2-2-20000-12-1-1-1-1-12-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111000000002222-1-100000000-1-100000000111111110000-1-100000000
χ37222222-1222-122222-1-1-12-12-12-12-12-1222-1-1-1-1002200222222-1-12-1-1-1-1-12-1-1-1-1-100-1-1002200-1-100222-12-12-12-100000000002222000000-1-1-1-100-1-100-1-1-1-1-1-10000-1-10000
χ38222222-1222-122222-1-1-12-12-12-12-12-1222-1-1-1-100220022-2-2-2-2-1-12-1-1-1-1-12-1-1-1-1-100-1-1002200-1-10022-21-21-21-210000000000-2-2-2-2000000111100-1-100-1-111110000110000
χ39222222-1222-122222-1-1-12-12-12-12-12-1222-1-1-1-100-2-200-2-22222-1-12-1-1-1-1-12-1-1-1-1-1001100-2-2001100-2-22-12-12-12-10000000000-2-2-2-2000000111100110011-1-1-1-10000110000
χ40222222-1222-122222-1-1-12-12-12-12-12-1222-1-1-1-100-2-200-2-2-2-2-2-2-1-12-1-1-1-1-12-1-1-1-1-1001100-2-2001100-2-2-21-21-21-2100000000002222000000-1-1-1-10011001111110000-1-10000
χ4122222-1222-12222-1-122-1-12-122-1-12-122-1-122-1-1220022002222-1-1-12-1-1-1-1-12-1-1-1-1-1-1002200-1-1002200-12-12-12-120000002222000000-1-1-1-10000-1-100-1-100-1-1-1-100-1-1000000
χ4222222-1222-12222-1-122-1-12-122-1-12-122-1-122-1-122002200-2-2-2-2-1-1-12-1-1-1-1-12-1-1-1-1-1-1002200-1-10022001-21-21-21-2000000-2-2-2-200000011110000-1-100-1-10011110011000000
χ4322222-1222-12222-1-122-1-12-122-1-12-122-1-122-1-1-2-200-2-2002222-1-1-12-1-1-1-1-12-1-1-1-11100-2-2001100-2-200-12-12-12-12000000-2-2-2-20000001111000011001100-1-1-1-10011000000
χ4422222-1222-12222-1-122-1-12-122-1-12-122-1-122-1-1-2-200-2-200-2-2-2-2-1-1-12-1-1-1-1-12-1-1-1-11100-2-2001100-2-2001-21-21-21-20000002222000000-1-1-1-1000011001100111100-1-1000000
χ452222-222-1-222-1-1-122222-1-1-2-212-1-1-2-21-1-1-1-1222-22-22-22-20000-1-21111-1-211-1-1112-22-2-11-112-22-2-11-11000000002-22-2-1-100000000-1-100000000-11-11-11-1100001100000000
χ462222-222-1-222-1-1-122222-1-1-2-212-1-1-2-21-1-1-1-1222-2-222-2-220000-1-21111-1-211-1-1112-2-22-111-12-2-22-111-100000000-22-2211000000001100000000-111-1-111-10000-1-100000000
χ472222-222-1-222-1-1-122222-1-1-2-212-1-1-2-21-1-1-1-122-222-2-222-20000-1-21111-1-211-1-111-222-21-1-11-222-21-1-1100000000-22-22110000000011000000001-1-111-1-110000-1-100000000
χ482222-222-1-222-1-1-122222-1-1-2-212-1-1-2-21-1-1-1-122-22-22-22-220000-1-21111-1-211-1-111-22-221-11-1-22-221-11-1000000002-22-2-1-100000000-1-1000000001-11-11-11-100001100000000
χ492222-22-12-22-122222-1-1-12-1-21-2-12-1-21-222-1-1-1-1002-2002-222-2-2-11-2111-11-21-1-11100-11002-200-11002-22-12-1-21-21000000000022-2-2000000111100-1100-11-1-1110000-1-10000
χ502222-22-12-22-122222-1-1-12-1-21-2-12-1-21-222-1-1-1-1002-2002-2-2-222-11-2111-11-21-1-11100-11002-200-11002-2-21-212-12-10000000000-2-222000000-1-1-1-100-1100-1111-1-10000110000
χ512222-22-12-22-122222-1-1-12-1-21-2-12-1-21-222-1-1-1-100-2200-2222-2-2-11-2111-11-21-1-111001-100-22001-100-222-12-1-21-210000000000-2-222000000-1-1-1-1001-1001-1-1-1110000110000
χ522222-22-12-22-122222-1-1-12-1-21-2-12-1-21-222-1-1-1-100-2200-22-2-222-11-2111-11-21-1-111001-100-22001-100-22-21-212-12-1000000000022-2-20000001111001-1001-111-1-10000-1-10000
χ532222-2-122-2-12222-1-122-1-121-2-2-1-121-2-2-1-122-1-12-2002-20022-2-2-111-211-111-2-1-111-11002-200-11002-200-12-121-21-200000022-2-2000000-1-1-1-10000-1100-1100-1-1110011000000
χ542222-2-122-2-12222-1-122-1-121-2-2-1-121-2-2-1-122-1-12-2002-200-2-222-111-211-111-2-1-111-11002-200-11002-2001-21-2-12-12000000-2-22200000011110000-1100-110011-1-100-1-1000000
χ552222-2-122-2-12222-1-122-1-121-2-2-1-121-2-2-1-122-1-1-2200-220022-2-2-111-211-111-2-1-1111-100-22001-100-2200-12-121-21-2000000-2-222000000111100001-1001-100-1-11100-1-1000000
χ562222-2-122-2-12222-1-122-1-121-2-2-1-121-2-2-1-122-1-1-2200-2200-2-222-111-211-111-2-1-1111-100-22001-100-22001-21-2-12-1200000022-2-2000000-1-1-1-100001-1001-10011-1-10011000000
χ5722-2-2222-1-222-111-2-2-2-22-1-122-12-1-1-2-211111-2-22-22-2-22-220000-12-1-1-1-1-1-21111112-22-2-11-11-22-221-11-10000000022-2-2-1-1000000001100000000-11-111-11-10000-1100000000
χ5822-2-2222-1-222-111-2-2-2-22-1-122-12-1-1-2-211111-2-22-2-22-222-20000-12-1-1-1-1-1-21111112-2-22-111-1-222-21-1-1100000000-2-2221100000000-1-100000000-111-11-1-1100001-100000000
χ5922-2-2222-1-222-111-2-2-2-22-1-122-12-1-1-2-211111-2-2-222-22-2-220000-12-1-1-1-1-1-2111111-222-21-1-112-2-22-111-100000000-2-2221100000000-1-1000000001-1-11-111-100001-100000000
χ6022-2-2222-1-222-111-2-2-2-22-1-122-12-1-1-2-211111-2-2-22-222-22-20000-12-1-1-1-1-1-2111111-22-221-11-12-22-2-11-110000000022-2-2-1-10000000011000000001-11-1-11-110000-1100000000
χ6122-2-222-12-22-12-2-2-2-211-12-12-12-12-1-21-2-2-21111002-200-222i−2i2i−2i-1-12-1-1-1-11-21111100-11002-2001-100-222i−i−2ii2i−i−2ii00000000002i−2i2i−2i000000−i−iii00-11001-1−ii−ii0000−ii0000
χ6222-2-222-12-22-12-2-2-2-211-12-12-12-12-1-21-2-2-21111002-200-22−2i2i−2i2i-1-12-1-1-1-11-21111100-11002-2001-100-22−2ii2i−i−2ii2i−i0000000000−2i2i−2i2i000000ii−i−i00-11001-1i−ii−i0000i−i0000
χ6322-2-222-12-22-12-2-2-2-211-12-12-12-12-1-21-2-2-2111100-22002-22i−2i2i−2i-1-12-1-1-1-11-211111001-100-2200-11002-22i−i−2ii2i−i−2ii0000000000−2i2i−2i2i000000ii−i−i001-100-11−ii−ii0000i−i0000
χ6422-2-222-12-22-12-2-2-2-211-12-12-12-12-1-21-2-2-2111100-22002-2−2i2i−2i2i-1-12-1-1-1-11-211111001-100-2200-11002-2−2ii2i−i−2ii2i−i00000000002i−2i2i−2i000000−i−iii001-100-11i−ii−i0000−ii0000
χ6522-2-22-122-2-122-2-211-2-2-1-12-122-1-121-2-211-2-2112-200-22002i−2i2i−2i-1-1-12-1-1-111-21111-11002-2001-100-2200−i2ii−2i−i2ii−2i0000002i−2i2i−2i000000−i−iii0000-11001-100−ii−ii00−ii000000
χ6622-2-22-122-2-122-2-211-2-2-1-12-122-1-121-2-211-2-2112-200-2200−2i2i−2i2i-1-1-12-1-1-111-21111-11002-2001-100-2200i−2i−i2ii−2i−i2i000000−2i2i−2i2i000000ii−i−i0000-11001-100i−ii−i00i−i000000
χ6722-2-22-122-2-122-2-211-2-2-1-12-122-1-121-2-211-2-211-22002-2002i−2i2i−2i-1-1-12-1-1-111-211111-100-2200-11002-200−i2ii−2i−i2ii−2i000000−2i2i−2i2i000000ii−i−i00001-100-1100−ii−ii00i−i000000
χ6822-2-22-122-2-122-2-211-2-2-1-12-122-1-121-2-211-2-211-22002-200−2i2i−2i2i-1-1-12-1-1-111-211111-100-2200-11002-200i−2i−i2ii−2i−i2i0000002i−2i2i−2i000000−i−iii00001-100-1100i−ii−i00−ii000000
χ6922-2-2-222-1222-111-2-2-2-22-1-1-2-212-1-122-11111-2-22222-2-2-2-20000-1-21111-12-1-111-1-12222-1-1-1-1-2-2-2-21111000000002-2-22-1-1000000001100000000-1-1-1-1111100001-100000000
χ7022-2-2-222-1222-111-2-2-2-22-1-1-2-212-1-122-11111-2-222-2-2-2-2220000-1-21111-12-1-111-1-122-2-2-1-111-2-22211-1-100000000-222-21100000000-1-100000000-1-11111-1-10000-1100000000
χ7122-2-2-222-1222-111-2-2-2-22-1-1-2-212-1-122-11111-2-2-2-22222-2-20000-1-21111-12-1-111-1-1-2-22211-1-122-2-2-1-11100000000-222-21100000000-1-10000000011-1-1-1-1110000-1100000000
χ7222-2-2-222-1222-111-2-2-2-22-1-1-2-212-1-122-11111-2-2-2-2-2-222220000-1-21111-12-1-111-1-1-2-2-2-211112222-1-1-1-1000000002-2-22-1-10000000011000000001111-1-1-1-100001-100000000
χ7322-2-2-22-1222-12-2-2-2-211-12-1-21-2-12-12-12-2-21111002200-2-22i−2i−2i2i-11-2111-1-12-111-1-100-1-10022001100-2-22i−i−2ii−2ii2i−i00000000002i−2i−2i2i000000ii−i−i00-1-10011−iii−i0000−ii0000
χ7422-2-2-22-1222-12-2-2-2-211-12-1-21-2-12-12-12-2-21111002200-2-2−2i2i2i−2i-11-2111-1-12-111-1-100-1-10022001100-2-2−2ii2i−i2i−i−2ii0000000000−2i2i2i−2i000000−i−iii00-1-10011i−i−ii0000i−i0000
χ7522-2-2-22-1222-12-2-2-2-211-12-1-21-2-12-12-12-2-2111100-2-200222i−2i−2i2i-11-2111-1-12-111-1-1001100-2-200-1-100222i−i−2ii−2ii2i−i0000000000−2i2i2i−2i000000−i−iii001100-1-1−iii−i0000i−i0000
χ7622-2-2-22-1222-12-2-2-2-211-12-1-21-2-12-12-12-2-2111100-2-20022−2i2i2i−2i-11-2111-1-12-111-1-1001100-2-200-1-10022−2ii2i−i2i−i−2ii00000000002i−2i−2i2i000000ii−i−i001100-1-1i−i−ii0000−ii0000
χ7722-2-2-2-1222-122-2-211-2-2-1-121-2-2-1-12-12211-2-2112200-2-2002i−2i−2i2i-111-211-1-1-1211-1-1-1-10022001100-2-200−i2ii−2ii−2i−i2i0000002i−2i−2i2i000000−i−iii0000-1-1001100−iii−i00i−i000000
χ7822-2-2-2-1222-122-2-211-2-2-1-121-2-2-1-12-12211-2-2112200-2-200−2i2i2i−2i-111-211-1-1-1211-1-1-1-10022001100-2-200i−2i−i2i−i2ii−2i000000−2i2i2i−2i000000ii−i−i0000-1-1001100i−i−ii00−ii000000
χ7922-2-2-2-1222-122-2-211-2-2-1-121-2-2-1-12-12211-2-211-2-20022002i−2i−2i2i-111-211-1-1-1211-1-11100-2-200-1-1002200−i2ii−2ii−2i−i2i000000−2i2i2i−2i000000ii−i−i00001100-1-100−iii−i00−ii000000
χ8022-2-2-2-1222-122-2-211-2-2-1-121-2-2-1-12-12211-2-211-2-2002200−2i2i2i−2i-111-211-1-1-1211-1-11100-2-200-1-1002200i−2i−i2i−i2ii−2i0000002i−2i−2i2i000000−i−iii00001100-1-100i−i−ii00i−i000000
χ81444444-2-244-2-2-2-244-2-2-2-214-2-2-2-214-2-2-2-211-2-20044004400001-2-21111-2-21111100-2-200-2-200-2-200-2-2000000000000000000000000000000000011001100000000000000
χ82444444-2-244-2-2-2-244-2-2-2-214-2-2-2-214-2-2-2-211-2-200-4-400-4-400001-2-21111-2-21111100220022002200220000000000000000000000000000000000-1-100-1-100000000000000
χ8344444-24-24-24-2-2-2-2-244-21-2-24-2-21-2-24-211-2-2-2-24400440000001-21-2111-21-21111-2-200-2-200-2-200-2-200000000000000000000000000000000001100110000000000000000
χ8444444-24-24-24-2-2-2-2-244-21-2-24-2-21-2-24-211-2-2-2-2-4-400-4-40000001-21-2111-21-21111220022002200220000000000000000000000000000000000-1-100-1-10000000000000000
χ8544444-2-244-2-2444-2-2-2-21-2-2-2-241-2-2-2-24-2-2-2-21100000000444411-2-21111-2-211110000000000000000-2-2-2-2-2-2-2-20000000000000000000000000000000011110000000000
χ8644444-2-244-2-2444-2-2-2-21-2-2-2-241-2-2-2-24-2-2-2-21100000000-4-4-4-411-2-21111-2-2111100000000000000002222222200000000000000000000000000000000-1-1-1-10000000000
χ874444-44-2-2-44-2-2-2-244-2-2-2-21-422-2-21-422-2-211-2-2004-4004-40000122-1-1-1122-111-1-100-2200-2200-2200-2200000000000000000000000000000000001-1001-100000000000000
χ884444-44-2-2-44-2-2-2-244-2-2-2-21-422-2-21-422-2-211-2-200-4400-440000122-1-1-1122-111-1-1002-2002-2002-2002-20000000000000000000000000000000000-1100-1100000000000000
χ894444-4-24-2-4-24-2-2-2-2-244-21-22-42-21-22-4211-2-2-2-24-4004-400000012-12-1-112-1211-1-1-2200-2200-2200-2200000000000000000000000000000000001-1001-10000000000000000
χ904444-4-24-2-4-24-2-2-2-2-244-21-22-42-21-22-4211-2-2-2-2-4400-4400000012-12-1-112-1211-1-12-2002-2002-2002-20000000000000000000000000000000000-1100-110000000000000000
χ914444-4-2-24-4-2-2444-2-2-2-21-2-222-41-2-222-4-2-2-2-2110000000044-4-41-122-1-11-12211-1-10000000000000000-2-2-2-222220000000000000000000000000000000011-1-10000000000
χ924444-4-2-24-4-2-2444-2-2-2-21-2-222-41-2-222-4-2-2-2-21100000000-4-4441-122-1-11-12211-1-100000000000000002222-2-2-2-200000000000000000000000000000000-1-1110000000000
χ9344-4-444-2-2-44-2-222-4-422-2-214-2-2-2-21-42222-1-122004-400-4400001-2-2111122-1-1-1-1-100-2200-22002-2002-200000000000000000000000000000000001-100-1100000000000000
χ9444-4-444-2-2-44-2-222-4-422-2-214-2-2-2-21-42222-1-12200-44004-400001-2-2111122-1-1-1-1-1002-2002-200-2200-220000000000000000000000000000000000-11001-100000000000000
χ9544-4-44-24-2-4-24-22222-4-4-21-2-24-2-21-22-42-1-122224-400-440000001-21-21112-12-1-1-1-1-2200-22002-2002-200000000000000000000000000000000001-100-110000000000000000
χ9644-4-44-24-2-4-24-22222-4-4-21-2-24-2-21-22-42-1-12222-44004-40000001-21-21112-12-1-1-1-12-2002-200-2200-220000000000000000000000000000000000-11001-10000000000000000
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χ9944-4-4-44-2-244-2-222-4-422-2-21-422-2-214-2-222-1-122004400-4-40000122-1-1-11-2-21-1-11100-2-200-2-20022002200000000000000000000000000000000001100-1-100000000000000
χ10044-4-4-44-2-244-2-222-4-422-2-21-422-2-214-2-222-1-12200-4-400440000122-1-1-11-2-21-1-1110022002200-2-200-2-20000000000000000000000000000000000-1-1001100000000000000
χ10144-4-4-4-24-24-24-22222-4-4-21-22-42-21-2-24-2-1-122224400-4-400000012-12-1-11-21-2-1-111-2-200-2-20022002200000000000000000000000000000000001100-1-10000000000000000
χ10244-4-4-4-24-24-24-22222-4-4-21-22-42-21-2-24-2-1-12222-4-4004400000012-12-1-11-21-2-1-11122002200-2-200-2-20000000000000000000000000000000000-1-100110000000000000000
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χ1054-44i−4i04440-4-4-44i−4i4i−4i4i−4i444000-4-4-40004i−4i4i−4i4i−4i000000000000400000-40004i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ1064-44i−4i044-20-4-42−2i2i4i−4i4i−4i4-2-2000-422000−2i2i−2i2i4i−4i000000000000-2000002000−2i2i000000000000000000000000000000−2i32i30000000023−23000000000000000000000000000000
χ1074-44i−4i044-20-4-42−2i2i4i−4i4i−4i4-2-2000-422000−2i2i−2i2i4i−4i000000000000-2000002000−2i2i0000000000000000000000000000002i3−2i300000000−2323000000000000000000000000000000
χ1084-44i−4i04-240-42-44i−4i4i−4i−2i2i-24-20002-420004i−4i−2i2i−2i2i000000000000-2000002000−2i2i00000000000000000000000000000000000000000000002ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ230000000000000000000000
χ1094-44i−4i04-240-42-44i−4i4i−4i−2i2i-24-20002-420004i−4i−2i2i−2i2i000000000000-2000002000−2i2i0000000000000000000000000000000000000000000000−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ230000000000000000000000
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χ1114-44i−4i0-24402-4-44i−4i−2i2i4i−4i-2-2400022-4000−2i2i4i−4i−2i2i000000000000-2000002000−2i2i0000000000000000000000000000000000000000002ζ7−2ζ23−2ζ7+2ζ23−2ζ5+2ζ132ζ5−2ζ1300000000000000000000000000
χ1124-4−4i4i04440-4-4-4−4i4i−4i4i−4i4i444000-4-4-4000−4i4i−4i4i−4i4i000000000000400000-4000−4i4i000000000000000000000000000000000000000000000000000000000000000000000000
χ1134-4−4i4i044-20-4-422i−2i−4i4i−4i4i4-2-2000-4220002i−2i2i−2i−4i4i000000000000-20000020002i−2i000000000000000000000000000000−2i32i300000000−2323000000000000000000000000000000
χ1144-4−4i4i044-20-4-422i−2i−4i4i−4i4i4-2-2000-4220002i−2i2i−2i−4i4i000000000000-20000020002i−2i0000000000000000000000000000002i3−2i30000000023−23000000000000000000000000000000
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χ1174-4−4i4i0-24402-4-4−4i4i2i−2i−4i4i-2-2400022-40002i−2i−4i4i2i−2i000000000000-20000020002i−2i0000000000000000000000000000000000000000002ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ2300000000000000000000000000
χ1184-4−4i4i0-24402-4-4−4i4i2i−2i−4i4i-2-2400022-40002i−2i−4i4i2i−2i000000000000-20000020002i−2i000000000000000000000000000000000000000000−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ2300000000000000000000000000
χ11988888-4-4-48-4-4-4-4-4-4-4-4-4222-4-4-4222-4-4-4222222000000000000-1222-1-1-1222-1-1-1-10000000000000000000000000000000000000000000000000000000000000000000000
χ1208888-8-4-4-4-8-4-4-4-4-4-4-4-4-4222444222444222222000000000000-1-2-2-211-1-2-2-2-1-1110000000000000000000000000000000000000000000000000000000000000000000000
χ12188-8-88-4-4-4-8-4-4-4444444222-4-4-4222444-2-2-2-2-2-2000000000000-1222-1-1-1-2-2-211110000000000000000000000000000000000000000000000000000000000000000000000
χ12288-8-8-8-4-4-48-4-4-4444444222444222-4-4-4-2-2-2-2-2-2000000000000-1-2-2-211-122211-1-10000000000000000000000000000000000000000000000000000000000000000000000
χ1238-88i−8i08-4-40-844−4i4i8i−8i−4i4i-4-4200044-2000−4i4i2i−2i−4i4i000000000000200000-20002i−2i000000000000000000000000000000000000000000000000000000000000000000000000
χ1248-88i−8i0-48-404-84−4i4i−4i4i8i−8i-42-40004-240002i−2i−4i4i−4i4i000000000000200000-20002i−2i000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-88i−8i0-4-48044-88i−8i−4i4i−4i4i2-4-4000-244000−4i4i−4i4i2i−2i000000000000200000-20002i−2i000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-88i−8i0-4-4-40444−4i4i−4i4i−4i4i222000-2-2-20002i−2i2i−2i2i−2i000000000000-1000−3i33i31000−ii33−330000000000000000000000000000000000000000000000000000000000000000000000
χ1278-88i−8i0-4-4-40444−4i4i−4i4i−4i4i222000-2-2-20002i−2i2i−2i2i−2i000000000000-10003i3−3i31000−ii−33330000000000000000000000000000000000000000000000000000000000000000000000
χ1288-8−8i8i08-4-40-8444i−4i−8i8i4i−4i-4-4200044-20004i−4i−2i2i4i−4i000000000000200000-2000−2i2i000000000000000000000000000000000000000000000000000000000000000000000000
χ1298-8−8i8i0-48-404-844i−4i4i−4i−8i8i-42-40004-24000−2i2i4i−4i4i−4i000000000000200000-2000−2i2i000000000000000000000000000000000000000000000000000000000000000000000000
χ1308-8−8i8i0-4-48044-8−8i8i4i−4i4i−4i2-4-4000-2440004i−4i4i−4i−2i2i000000000000200000-2000−2i2i000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-8−8i8i0-4-4-404444i−4i4i−4i4i−4i222000-2-2-2000−2i2i−2i2i−2i2i000000000000-1000−3i33i31000i−i−33330000000000000000000000000000000000000000000000000000000000000000000000
χ1328-8−8i8i0-4-4-404444i−4i4i−4i4i−4i222000-2-2-2000−2i2i−2i2i−2i2i000000000000-10003i3−3i31000i−i33−330000000000000000000000000000000000000000000000000000000000000000000000

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