Finite Group Databasebeta

← Group #13170485

Character table — Group #13170485

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size1111222222222222224444444444444444446666666666668888888888888899999999999912121212121212121212121212121212121212121212121218181818181818181818181818181818181824242424242424242424242436363636363654545454
order1244233346661212121212123336666661212121212121212122222444488883666666121212121212122244888888886666666612121212121212122424242424242424246688881212242424242424242466661212121224242424612242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-111-1-1111111111111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-111-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-111-1-1-1-1
χ6111111111111111111111111111111111111-1-111-1-111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-11111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ91111-1111-1111111111111-1-1-1111-1-1-11111111-11-11-11-111-1-11-1-1-1-1-11-1-1-111-1-11111111111111-11-11-11-11-11-11-11-11111-1-1-1-1-1-111-1-1-1-111111111111-11-11-11-111-1-1-1-1-1-1-1-111-1-1
χ101111-1111-1111111111111-1-1-1111-1-1-11111111-11-11-11-1-1-1111-1-1-1-1-11-1-1-111-1-11111-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-11-11-11-1-1-111-1-11111-1-111
χ111111-1111-1111111111111-1-1-1111-1-1-11111111-1-111-1-1111-1-11-1-1-1-1-11-1-1-111-1-1-1-1-1-11111-1-1-1-11-1-111-1-111-1-111-1-111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-1-111-1-1111-1-111-1-111-1-111
χ121111-1111-1111111111111-1-1-1111-1-1-11111111-1-111-1-11-1-1111-1-1-1-1-11-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-111-1-111-1-111-1-11-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111-1-111-1-11-1-1111111-1-111-1-1
χ131111-1111-1111111111111-1-1-1111-1-1-1111111-111-1-111-111-1-11-1-1-1-1-11-1-1-111-1-1-1-1-1-1-1-1-1-11111-111-1-111-1-111-1-111-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-111-1-111-111-1-11111-1-1-1-111
χ141111-1111-1111111111111-1-1-1111-1-1-1111111-111-1-111-1-1-1111-1-1-1-1-11-1-1-111-1-1-1-1-1-11111-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-111-1-111-1-1-11111-1-11111-1-1
χ151111-1111-1111111111111-1-1-1111-1-1-1111111-11-11-11-1111-1-11-1-1-1-1-11-1-1-111-1-11111-1-1-1-1-1-1-1-1-11-11-11-11-11-11-11-111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-1111-1-1-1-1111111-1-1
χ161111-1111-1111111111111-1-1-1111-1-1-1111111-11-11-11-11-1-1111-1-1-1-1-11-1-1-111-1-1111111111111-11-11-11-11-11-11-11-11-1-1-1-11111-1-111-1-1-1-11111111111-11-11-11-11-1-111-1-1-1-1-1-1-1-111
χ1711-1-11111-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-11-1-11-11i−ii−i1111111-1-1-1-1-1-1-111-1-1ii−i−iii−i−i1-11-11-11-1-11-11-11-11ii−i−iii−i−i1-111i−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−ii1111111-1-1-1-1-1-1-111-1-1−i−iii−i−iii1-11-11-11-1-11-11-11-11−i−iii−i−iii1-111−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−i1111111-1-1-1-1-1-1-1-1-111ii−i−i−i−iii1-1-111-1-11-111-1-111-1ii−i−iii−i−i-11-1-1i−i−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−ii1111111-1-1-1-1-1-1-1-1-111−i−iiiii−i−i1-1-111-1-11-111-1-111-1−i−iii−i−iii-11-1-1−iii−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−i1111111-1-1-1-1-1-1-1-1-111−i−iiiii−i−i-111-1-111-11-1-111-1-11ii−i−iii−i−i-11-1-1−iii−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−ii1111111-1-1-1-1-1-1-1-1-111ii−i−i−i−iii-111-1-111-11-1-111-1-11−i−iii−i−iii-11-1-1i−i−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−i1111111-1-1-1-1-1-1-111-1-1−i−iii−i−iii-11-11-11-111-11-11-11-1ii−i−iii−i−i1-111−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−ii1111111-1-1-1-1-1-1-111-1-1ii−i−iii−i−i-11-11-11-111-11-11-11-1−i−iii−i−iii1-111i−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−ii1-1-1-1-1-11111-1-11111-1-1ii−i−iii−i−i11111111-1-1-1-1-1-1-1-1ii−i−i−i−iii-1111−ii−ii-1-1ii−i−iii−i−i1111-1-1-1-1i−i−ii-11−ii−iii−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−i1-1-1-1-1-11111-1-11111-1-1−i−iii−i−iii11111111-1-1-1-1-1-1-1-1−i−iiiii−i−i-1111i−ii−i-1-1−i−iii−i−iii1111-1-1-1-1−iii−i-11i−ii−i−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−ii1-1-1-1-1-11111-1-111-1-111ii−i−i−i−iii11-1-111-1-1-1-111-1-111ii−i−i−i−iii1-1-1-1−iii−i11ii−i−i−i−iii11-1-1-1-111i−i−ii1-1−iii−i−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−i1-1-1-1-1-11111-1-111-1-111−i−iiiii−i−i11-1-111-1-1-1-111-1-111−i−iiiii−i−i1-1-1-1i−i−ii11−i−iiiii−i−i11-1-1-1-111−iii−i1-1i−i−iii−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−i−iiiii−i−i-1-111-1-11111-1-111-1-1ii−i−i−i−iii1-1-1-1i−i−ii11−i−iiiii−i−i-1-11111-1-1i−i−ii1-1i−i−ii−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−i1-1-1-1-1-11111-1-111-1-111ii−i−i−i−iii-1-111-1-11111-1-111-1-1−i−iiiii−i−i1-1-1-1−iii−i11ii−i−i−i−iii-1-11111-1-1−iii−i1-1−iii−ii−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−ii1-1-1-1-1-11111-1-11111-1-1−i−iii−i−iii-1-1-1-1-1-1-1-111111111ii−i−i−i−iii-1111i−ii−i-1-1−i−iii−i−iii-1-1-1-11111i−i−ii-11i−ii−ii−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−i1-1-1-1-1-11111-1-11111-1-1ii−i−iii−i−i-1-1-1-1-1-1-1-111111111−i−iiiii−i−i-1111−ii−ii-1-1ii−i−iii−i−i-1-1-1-11111−iii−i-11−ii−ii−iii−i
χ332222222-1222-1-1-122222-1-122-12-1-122-1-1-1-1-122222222220000-12-1-1-1-1-12-1-1-1-1-1-12222000000002222-1-1-1-12222-1-1-1-10000000022-1-10000-1-100000000-1-1-1-1-1-1-1-10000-1-100000000
χ342222222-1222-1-1-122222-1-122-12-1-122-1-1-1-1-12222-2-222-2-20000-12-1-1-1-1-12-1-1-1-1-1-1-2-2-2-20000000022-2-2-1-11122-2-2-1-11100000000-2-21100001100000000-1-111-1-11100001100000000
χ352222222-1222-1-1-122222-1-122-12-1-122-1-1-1-1-122-2-222-2-2220000-12-1-1-1-1-12-1-1-1-1-1-1-2-2-2-200000000-2-22211-1-1-2-22211-1-100000000-2-2110000110000000011-1-111-1-100001100000000
χ362222222-1222-1-1-122222-1-122-12-1-122-1-1-1-1-122-2-2-2-2-2-2-2-20000-12-1-1-1-1-12-1-1-1-1-1-1222200000000-2-2-2-21111-2-2-2-211110000000022-1-10000-1-100000000111111110000-1-100000000
χ37222222-1222-122222-1-1-12-12-12-12-12-1222-1-1-1-1002200222222-1-12-1-1-1-1-12-1-1-1-1-100000000222200-1-1002200-1-100222-12-12-12-100000022000000-1-1-1-100-1-100-1-1-1-1-1-10000-1-10000
χ38222222-1222-122222-1-1-12-12-12-12-12-1222-1-1-1-100220022-2-2-2-2-1-12-1-1-1-1-12-1-1-1-1-100000000-2-2-2-200-1-1002200-1-10022-21-21-21-21000000-2-2000000111100-1-100-1-111110000110000
χ39222222-1222-122222-1-1-12-12-12-12-12-1222-1-1-1-100-2-200-2-22222-1-12-1-1-1-1-12-1-1-1-1-100000000-2-2-2-2001100-2-2001100-2-22-12-12-12-1000000-2-2000000111100110011-1-1-1-10000110000
χ40222222-1222-122222-1-1-12-12-12-12-12-1222-1-1-1-100-2-200-2-2-2-2-2-2-1-12-1-1-1-1-12-1-1-1-1-1000000002222001100-2-2001100-2-2-21-21-21-2100000022000000-1-1-1-10011001111110000-1-10000
χ4122222-1222-12222-1-122-1-12-122-1-12-122-1-122-1-1220022002222-1-1-12-1-1-1-1-12-1-1-1-1000022220000-1-1002200-1-1002200-12-12-12-120000220000-1-1-1-10000-1-100-1-100-1-1-1-100-1-1000000
χ4222222-1222-12222-1-122-1-12-122-1-12-122-1-122-1-122002200-2-2-2-2-1-1-12-1-1-1-1-12-1-1-1-10000-2-2-2-20000-1-1002200-1-10022001-21-21-21-20000-2-2000011110000-1-100-1-10011110011000000
χ4322222-1222-12222-1-122-1-12-122-1-12-122-1-122-1-1-2-200-2-2002222-1-1-12-1-1-1-1-12-1-1-1-10000-2-2-2-200001100-2-2001100-2-200-12-12-12-120000-2-200001111000011001100-1-1-1-10011000000
χ4422222-1222-12222-1-122-1-12-122-1-12-122-1-122-1-1-2-200-2-200-2-2-2-2-1-1-12-1-1-1-1-12-1-1-1-10000222200001100-2-2001100-2-2001-21-21-21-20000220000-1-1-1-1000011001100111100-1-1000000
χ452222-222-1-222-1-1-122222-1-1-2-212-1-1-2-21-1-1-1-1222-22-22-22-20000-1-21111-1-211-1-1112222000000002-22-2-11-112-22-2-11-1100000000-2-2-1-10000-1-100000000-11-11-11-1100001100000000
χ462222-222-1-222-1-1-122222-1-1-2-212-1-1-2-21-1-1-1-1222-2-222-2-220000-1-21111-1-211-1-111-2-2-2-2000000002-2-22-111-12-2-22-111-100000000221100001100000000-111-1-111-10000-1-100000000
χ472222-222-1-222-1-1-122222-1-1-2-212-1-1-2-21-1-1-1-122-222-2-222-20000-1-21111-1-211-1-111-2-2-2-200000000-222-21-1-11-222-21-1-11000000002211000011000000001-1-111-1-110000-1-100000000
χ482222-222-1-222-1-1-122222-1-1-2-212-1-1-2-21-1-1-1-122-22-22-22-220000-1-21111-1-211-1-111222200000000-22-221-11-1-22-221-11-100000000-2-2-1-10000-1-1000000001-11-11-11-100001100000000
χ492222-22-12-22-122222-1-1-12-1-21-2-12-1-21-222-1-1-1-1002-2002-222-2-2-11-2111-11-21-1-11100000000222200-11002-200-11002-22-12-1-21-21000000-2-2000000-1-1-1-100-1100-11-1-1110000110000
χ502222-22-12-22-122222-1-1-12-1-21-2-12-1-21-222-1-1-1-1002-2002-2-2-222-11-2111-11-21-1-11100000000-2-2-2-200-11002-200-11002-2-21-212-12-100000022000000111100-1100-1111-1-10000-1-10000
χ512222-22-12-22-122222-1-1-12-1-21-2-12-1-21-222-1-1-1-100-2200-2222-2-2-11-2111-11-21-1-11100000000-2-2-2-2001-100-22001-100-222-12-1-21-21000000220000001111001-1001-1-1-1110000-1-10000
χ522222-22-12-22-122222-1-1-12-1-21-2-12-1-21-222-1-1-1-100-2200-22-2-222-11-2111-11-21-1-111000000002222001-100-22001-100-22-21-212-12-1000000-2-2000000-1-1-1-1001-1001-111-1-10000110000
χ532222-2-122-2-12222-1-122-1-121-2-2-1-121-2-2-1-122-1-12-2002-20022-2-2-111-211-111-2-1-111000022220000-11002-200-11002-200-12-121-21-20000-2-20000-1-1-1-10000-1100-1100-1-1110011000000
χ542222-2-122-2-12222-1-122-1-121-2-2-1-121-2-2-1-122-1-12-2002-200-2-222-111-211-111-2-1-1110000-2-2-2-20000-11002-200-11002-2001-21-2-12-12000022000011110000-1100-110011-1-100-1-1000000
χ552222-2-122-2-12222-1-122-1-121-2-2-1-121-2-2-1-122-1-1-2200-220022-2-2-111-211-111-2-1-1110000-2-2-2-200001-100-22001-100-2200-12-121-21-20000220000111100001-1001-100-1-11100-1-1000000
χ562222-2-122-2-12222-1-122-1-121-2-2-1-121-2-2-1-122-1-1-2200-2200-2-222-111-211-111-2-1-1110000222200001-100-22001-100-22001-21-2-12-120000-2-20000-1-1-1-100001-1001-10011-1-10011000000
χ5722-2-2222-1-222-111-2-2-2-22-1-122-12-1-1-2-211111-2-22-22-2-22-220000-12-1-1-1-1-1-211111122-2-2000000002-22-2-11-11-22-221-11-1000000002-2-1-100001100000000-11-111-11-10000-1100000000
χ5822-2-2222-1-222-111-2-2-2-22-1-122-12-1-1-2-211111-2-22-2-22-222-20000-12-1-1-1-1-1-2111111-2-222000000002-2-22-111-1-222-21-1-1100000000-22110000-1-100000000-111-11-1-1100001-100000000
χ5922-2-2222-1-222-111-2-2-2-22-1-122-12-1-1-2-211111-2-2-222-22-2-220000-12-1-1-1-1-1-2111111-2-22200000000-222-21-1-112-2-22-111-100000000-22110000-1-1000000001-1-11-111-100001-100000000
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χ1308-88i−8i0-48-404-84−4i4i−4i4i8i−8i-42-40004-240002i−2i−4i4i−4i4i000000000000200000-20002i−2i000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-88i−8i0-4-48044-88i−8i−4i4i−4i4i2-4-4000-244000−4i4i−4i4i2i−2i000000000000200000-20002i−2i000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-88i−8i0-4-4-40444−4i4i−4i4i−4i4i222000-2-2-20002i−2i2i−2i2i−2i000000000000-1000−3i33i31000−ii33−330000000000000000000000000000000000000000000000000000000000000000000000000000
χ1338-88i−8i0-4-4-40444−4i4i−4i4i−4i4i222000-2-2-20002i−2i2i−2i2i−2i000000000000-10003i3−3i31000−ii−33330000000000000000000000000000000000000000000000000000000000000000000000000000
χ1348-8−8i8i08-4-40-8444i−4i−8i8i4i−4i-4-4200044-20004i−4i−2i2i4i−4i000000000000200000-2000−2i2i000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1358-8−8i8i0-48-404-844i−4i4i−4i−8i8i-42-40004-24000−2i2i4i−4i4i−4i000000000000200000-2000−2i2i000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1368-8−8i8i0-4-48044-8−8i8i4i−4i4i−4i2-4-4000-2440004i−4i4i−4i−2i2i000000000000200000-2000−2i2i000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1378-8−8i8i0-4-4-404444i−4i4i−4i4i−4i222000-2-2-2000−2i2i−2i2i−2i2i000000000000-1000−3i33i31000i−i−33330000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-8−8i8i0-4-4-404444i−4i4i−4i4i−4i222000-2-2-2000−2i2i−2i2i−2i2i000000000000-10003i3−3i31000i−i33−330000000000000000000000000000000000000000000000000000000000000000000000000000

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