Finite Group Databasebeta

← Group #13170495

Character table — Group #13170495

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size1111222222222222224444444444444444446666666666668888888888888899999999999912121212121212121212121212121212121212121212121218181818181818181818181818181818181824242424242424242424242436363636363654545454
order1244233346661212121212123336666661212121212121212128888888888883666666121212121212122222224444442424242424242424242424242424242424242424242424242224446666661212121212122424242424242424242424246661212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11-1-11-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-11-1-11-1-1-111-1-1-1-111-1-11111-1-1-1-11111-11-1-11-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-111111
χ5111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-11-1-11-1-1-1-111-1-1-1-111-1-1-1-111111111-1-11-1-11-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-11-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-11-11111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-11111
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
χ91111-1111-1111111111111-1-1-1111-1-1-111111111-1-111-1-111-1-11-1-1-1-1-11-1-1-111-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-1
χ101111-1111-1111111111111-1-1-1111-1-1-111111111-1-111-1-1-1-1111-1-1-1-1-11-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-111-111-111-1-111
χ111111-1111-1111111111111-1-1-1111-1-1-111111111-1-1-1-11111-1-11-1-1-1-1-11-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-111-11-1-111-1-1-1-111-1-111-1-1-1-11111-1-11-111-11-1-111
χ121111-1111-1111111111111-1-1-1111-1-1-111111111-1-1-1-111-1-1111-1-1-1-1-11-1-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-111-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-111-111-1-1
χ131111-1111-1111111111111-1-1-1111-1-1-1111111-1-11111-1-111-1-11-1-1-1-1-11-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-111-111-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-111-111-1-1-111
χ141111-1111-1111111111111-1-1-1111-1-1-1111111-1-11111-1-1-1-1111-1-1-1-1-11-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-111-11-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111-111-1111-1-1
χ151111-1111-1111111111111-1-1-1111-1-1-1111111-1-111-1-11111-1-11-1-1-1-1-11-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-11111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-111-11111-1-1
χ161111-1111-1111111111111-1-1-1111-1-1-1111111-1-111-1-111-1-1111-1-1-1-1-11-1-1-111-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-111
χ1711-1-11111-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1i−ii−ii−ii−ii−ii−i1111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i111-1-1-1111111-1-1-1-1-1-1i−ii−ii−ii−ii−ii−i111-1-1-1i−ii−i
χ1811-1-11111-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1i−ii−ii−ii−i−ii−ii1111111-1-1-1-1-1-1-111-1-1-1-1-1-11111ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii1-1-1-11111-1-1-1-1-1-11111i−ii−ii−ii−i−ii−ii1-1-1-111−ii−ii
χ1911-1-11111-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1i−ii−i−ii−iii−ii−i1111111-1-1-1-1-1-1-1-1-111-1-111-1-111ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i-11-11-11-1-111-1-111-1-111i−ii−i−ii−iii−ii−i-11-11-11−ii−ii
χ2011-1-11111-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1i−ii−i−ii−ii−ii−ii1111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii-1-1111-1-1-1-1-1111111-1-1i−ii−i−ii−ii−ii−ii-1-1111-1i−ii−i
χ2111-1-11111-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1−ii−iii−ii−ii−ii−i1111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i-1-1111-1-1-1-1-1111111-1-1−ii−iii−ii−ii−ii−i-1-1111-1−ii−ii
χ2211-1-11111-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1−ii−iii−ii−i−ii−ii1111111-1-1-1-1-1-1-1-1-111-1-111-1-111−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii-11-11-11-1-111-1-111-1-111−ii−iii−ii−i−ii−ii-11-11-11i−ii−i
χ2311-1-11111-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1−ii−ii−ii−iii−ii−i1111111-1-1-1-1-1-1-111-1-1-1-1-1-11111−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i1-1-1-11111-1-1-1-1-1-11111−ii−ii−ii−iii−ii−i1-1-1-111i−ii−i
χ2411-1-11111-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1−ii−ii−ii−ii−ii−ii1111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii111-1-1-1111111-1-1-1-1-1-1−ii−ii−ii−ii−ii−ii111-1-1-1−ii−ii
χ2511-1-1-11111111-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-1i−i−iii−i−iii−i−ii1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii-1-1-1111111111-1-1-1-1-1-1i−i−iii−i−iii−i−ii-1-1-1111i−i−ii
χ2611-1-1-11111111-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-1i−i−iii−i−ii−iii−i1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i-1111-1-111-1-1-1-1-1-11111i−i−iii−i−ii−iii−i-1111-1-1−iii−i
χ2711-1-1-11111111-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-1i−i−ii−iii−ii−i−ii1-1-1-1-1-11111-1-111-1-111-1-111-1-111ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii1-11-11-1-1-111-1-111-1-111i−i−ii−iii−ii−i−ii1-11-11-1−iii−i
χ2811-1-1-11111111-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-1i−i−ii−iii−i−iii−i1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i11-1-1-11-1-1-1-1111111-1-1i−i−ii−iii−i−iii−i11-1-1-11i−i−ii
χ2911-1-1-11111111-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-1−iii−ii−i−iii−i−ii1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii11-1-1-11-1-1-1-1111111-1-1−iii−ii−i−iii−i−ii11-1-1-11−iii−i
χ3011-1-1-11111111-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-1−iii−ii−i−ii−iii−i1-1-1-1-1-11111-1-111-1-111-1-111-1-111−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i1-11-11-1-1-111-1-111-1-111−iii−ii−i−ii−iii−i1-11-11-1i−i−ii
χ3111-1-1-11111111-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-1−iii−i−iii−ii−i−ii1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii-1111-1-111-1-1-1-1-1-11111−iii−i−iii−ii−i−ii-1111-1-1i−i−ii
χ3211-1-1-11111111-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-1−iii−i−iii−i−iii−i1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i-1-1-1111111111-1-1-1-1-1-1−iii−i−iii−i−iii−i-1-1-1111−iii−i
χ332222222-1222-12222-1-12-1-122-12-1-122-122-1-1-1-1000022222222-12-1-1-1-1-12-1-1-1-1-1-1000022000022000000002-12-12-12-12-12-12-12-10020020000-1-10000-1-10000-1-1-1-1-1-1-1-100-100-10000
χ342222222-1222-12222-1-12-1-122-12-1-122-122-1-1-1-100002222-2-2-2-2-12-1-1-1-1-12-1-1-1-1-1-10000-2-20000-2-2000000002-12-12-12-1-21-21-21-2100-200-20000110000110000-1-1-1-111110010010000
χ352222222-1222-12222-1-12-1-122-12-1-122-122-1-1-1-10000-2-2-2-22222-12-1-1-1-1-12-1-1-1-1-1-10000-2-20000-2-200000000-21-21-21-212-12-12-12-100-200-200001100001100001111-1-1-1-10010010000
χ362222222-1222-12222-1-12-1-122-12-1-122-122-1-1-1-10000-2-2-2-2-2-2-2-2-12-1-1-1-1-12-1-1-1-1-1-100002200002200000000-21-21-21-21-21-21-21-210020020000-1-10000-1-100001111111100-100-10000
χ37222222-1222-1222-1-122-12-12-12-12-12-12-1-122-1-1222200002222-1-12-1-1-1-1-12-1-1-1-1-10022000022002-12-12-12-100000000-12-12-12-1202002000-1-10000-1-100-1-1-1-10000-1-1-1-10-100-100000
χ38222222-1222-1222-1-122-12-12-12-12-12-12-1-122-1-122220000-2-2-2-2-1-12-1-1-1-1-12-1-1-1-1-100-2-20000-2-2002-12-12-12-1000000001-21-21-21-20-200-20001100001100-1-1-1-1000011110100100000
χ39222222-1222-1222-1-122-12-12-12-12-12-12-1-122-1-1-2-2-2-200002222-1-12-1-1-1-1-12-1-1-1-1-100-2-20000-2-200-21-21-21-2100000000-12-12-12-120-200-2000110000110011110000-1-1-1-10100100000
χ40222222-1222-1222-1-122-12-12-12-12-12-12-1-122-1-1-2-2-2-20000-2-2-2-2-1-12-1-1-1-1-12-1-1-1-1-1002200002200-21-21-21-21000000001-21-21-21-202002000-1-10000-1-1001111000011110-100-100000
χ4122222-1222-122-1-12222-1-12-122-1-12-122-1-1-1-122222222220000-1-1-12-1-1-1-1-12-1-1-1-1220000220000-12-12-12-12-12-12-12-1200000000200200-1-10000-1-10000-1-1-1-1-1-1-1-10000-100-1000000
χ4222222-1222-122-1-12222-1-12-122-1-12-122-1-1-1-1222222-2-2-2-20000-1-1-12-1-1-1-1-12-1-1-1-1-2-20000-2-20000-12-12-12-121-21-21-21-200000000-200-200110000110000-1-1-1-1111100001001000000
χ4322222-1222-122-1-12222-1-12-122-1-12-122-1-1-1-122-2-2-2-222220000-1-1-12-1-1-1-1-12-1-1-1-1-2-20000-2-200001-21-21-21-2-12-12-12-1200000000-200-2001100001100001111-1-1-1-100001001000000
χ4422222-1222-122-1-12222-1-12-122-1-12-122-1-1-1-122-2-2-2-2-2-2-2-20000-1-1-12-1-1-1-1-12-1-1-1-12200002200001-21-21-21-21-21-21-21-200000000200200-1-10000-1-10000111111110000-100-1000000
χ452222-222-1-222-12222-1-12-1-1-2-212-1-1-2-2122-1-1-1-1000022-2-222-2-2-1-21111-1-211-1-111000022000022000000002-12-1-21-212-12-1-21-2100-200-20000-1-10000-1-10000-1-111-1-1110010010000
χ462222-222-1-222-12222-1-12-1-1-2-212-1-1-2-2122-1-1-1-1000022-2-2-2-222-1-21111-1-211-1-1110000-2-20000-2-2000000002-12-1-21-21-21-212-12-10020020000110000110000-1-11111-1-100-100-10000
χ472222-222-1-222-12222-1-12-1-1-2-212-1-1-2-2122-1-1-1-10000-2-22222-2-2-1-21111-1-211-1-1110000-2-20000-2-200000000-21-212-12-12-12-1-21-21002002000011000011000011-1-1-1-11100-100-10000
χ482222-222-1-222-12222-1-12-1-1-2-212-1-1-2-2122-1-1-1-10000-2-222-2-222-1-21111-1-211-1-11100002200002200000000-21-212-12-1-21-212-12-100-200-20000-1-10000-1-1000011-1-111-1-10010010000
χ492222-22-12-22-1222-1-122-12-1-21-2-12-1-21-2-1-122-1-122-2-2000022-2-2-11-2111-11-21-1-1110022000022002-12-1-21-2100000000-12-121-21-20-200-2000-1-10000-1-100-1-1110000-1-1110100100000
χ502222-22-12-22-1222-1-122-12-1-21-2-12-1-21-2-1-122-1-122-2-20000-2-222-11-2111-11-21-1-11100-2-20000-2-2002-12-1-21-21000000001-21-2-12-12020020001100001100-1-111000011-1-10-100-100000
χ512222-22-12-22-1222-1-122-12-1-21-2-12-1-21-2-1-122-1-1-2-222000022-2-2-11-2111-11-21-1-11100-2-20000-2-200-21-212-12-100000000-12-121-21-202002000110000110011-1-10000-1-1110-100-100000
χ522222-22-12-22-1222-1-122-12-1-21-2-12-1-21-2-1-122-1-1-2-2220000-2-222-11-2111-11-21-1-111002200002200-21-212-12-1000000001-21-2-12-120-200-2000-1-10000-1-10011-1-1000011-1-10100100000
χ532222-2-122-2-122-1-12222-1-121-2-2-1-121-2-2-1-1-1-12222-2-222-2-20000-111-211-111-2-1-111220000220000-12-121-21-2-12-121-21-200000000-200-200-1-10000-1-10000-1-111-1-11100001001000000
χ542222-2-122-2-122-1-12222-1-121-2-2-1-121-2-2-1-1-1-12222-2-2-2-2220000-111-211-111-2-1-111-2-20000-2-20000-12-121-21-21-21-2-12-1200000000200200110000110000-1-11111-1-10000-100-1000000
χ552222-2-122-2-122-1-12222-1-121-2-2-1-121-2-2-1-1-1-122-2-22222-2-20000-111-211-111-2-1-111-2-20000-2-200001-21-2-12-12-12-121-21-20000000020020011000011000011-1-1-1-1110000-100-1000000
χ562222-2-122-2-122-1-12222-1-121-2-2-1-121-2-2-1-1-1-122-2-222-2-2220000-111-211-111-2-1-1112200002200001-21-2-12-121-21-2-12-1200000000-200-200-1-10000-1-1000011-1-111-1-100001001000000
χ5722-2-2222-1-222-1-2-2-2-2112-1-122-12-1-1-2-21-2-2111100002i−2i2i−2i2i−2i2i−2i-12-1-1-1-1-1-21111110000220000-2-2000000002i−i−2ii2i−i−2ii2i−i−2ii2i−i−2ii00200-20000-1-10000110000−ii−ii−ii−ii00-10010000
χ5822-2-2222-1-222-1-2-2-2-2112-1-122-12-1-1-2-21-2-2111100002i−2i2i−2i−2i2i−2i2i-12-1-1-1-1-1-21111110000-2-2000022000000002i−i−2ii2i−i−2ii−2ii2i−i−2ii2i−i00-20020000110000-1-10000−ii−iii−ii−i00100-10000
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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 i is the imaginary unit (i² = −1).