Finite Group Databasebeta

← Group #13167766

Character table — Group #13167766

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111222222222222224444444444444444446666666666668888888888888812121212121212121212121212121212121212121212121218181818181818181818181818181818181818181818181824242424242424242424242436363636363654545454
order1244333666881212121212123336661212121212122424242424242224448888883612122424242424242424242466666612121212121224242424242424242424242422244466668888881212121224242424666121212242424242424612242424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-111-11111-1-1111111111111111111-1-11111-1-111111111-1-1-1-11-1-11-1-111-1-111-1-1-1-111-1-1-1-1-1-111-111-11111-1-1-1-111-1-1-1-1-1-1
χ31111111111111111111111111111111111111-111-1111-1-1111111111111111111-1-11111-1-1111111-1-1-1-11111-11-1-11-1-1-111-1-111-1-1-1-111-1-1-1-11-111-1111-1-111-1-1-1-111-1-1-1-1
χ41111111111111111111111111111111111111-1-11-1-111-1-1-1-11111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-111-1-1-1-111111-1-11-1-111-1-1-1-111-1-1-1-11111
χ5111111111111111111111111111111111111-111-111-1-1111111111111111111-1-11111-1-11111-1-1-1-111111111-1-11-1-11-1-1-1-1-1-1-1-111-1-1-1-11111-111-111-1-1111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111-11-1-11-1-1-111-1-111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-11-1-1-111-1-111-1-1-1-111-1-1-1-1-11-1-11-1-1-111-1-1-1-1-1-1111111
χ7111111111111111111111111111111111111-1-11-1-11-1-1-1-11111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111-1-11-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-11-1-11-1-1-1-111-1-111-1-11111
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
χ91111111111-1-1111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1
χ101111111111-1-1111111111111111111-1-1-1-1-1-111-111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111-1-11-1-111-1-1-1-1111111-1-1111111-111-1-1-1-1-111-1-1-1-111-1-111
χ111111111111-1-1111111111111111111-1-1-1-1-1-11-111-11-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1-11-1-11-1-1-11111-1-111-1-11111111-111-11-1-111-1-1-1-111-1-1-1-111
χ121111111111-1-1111111111111111111-1-1-1-1-1-11-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1111111111111-1-1
χ131111111111-1-1111111111111111111-1-1-1-1-1-1-111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1111111-1-111
χ141111111111-1-1111111111111111111-1-1-1-1-1-1-11-1-11-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-11-1-11-1-1-11111-1-111-1-1111111-11-1-11-111-1-111-1-111-1-111-1-1
χ151111111111-1-1111111111111111111-1-1-1-1-1-1-1-11-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-11-1-11-1-111-1-1-1-1111111-1-11111-1-11-1-111111-1-1-1-1-1-11111-1-1
χ161111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ1711-1-1111111i−i-1-1-1-1-1-1111111-1-1-1-1-1-1iii−i−i−i111-1-1-1i−ii−ii−i11-1-1iii−i−i−iii−i−i111111-1-1-1-1-1-1ii−i−iii−i−iii−i−i11-1-1-111111i−ii−ii−i-1-1-1-1ii−i−i111-1-1-1i−ii−ii−i-11i−ii−i-11i−i
χ1811-1-1111111i−i-1-1-1-1-1-1111111-1-1-1-1-1-1iii−i−i−i11-1-1-11i−ii−i−ii11-1-1iii−i−i−iii−i−i1111-1-1-1-1-1-111ii−i−iii−i−i−i−iii1-11-11-111-1-1i−i−ii−ii-1-111−i−iii11-1-1-11i−ii−i−ii1-1i−i−ii1-1−ii
χ1911-1-1111111i−i-1-1-1-1-1-1111111-1-1-1-1-1-1iii−i−i−i1-11-11-1i−i−iii−i11-1-1iii−i−i−iii−i−i11-1-111-1-111-1-1ii−i−i−i−iiiii−i−i-1111-1-1-1-111−iii−i−ii11-1-1−i−iii1-11-11-1i−i−iii−i1-1−iii−i1-1−ii
χ2011-1-1111111i−i-1-1-1-1-1-1111111-1-1-1-1-1-1iii−i−i−i1-1-1-111i−i−ii−ii11-1-1iii−i−i−iii−i−i11-1-1-1-1-1-11111ii−i−i−i−iii−i−iii-1-1-1111-1-1-1-1−ii−iii−i1111ii−i−i1-1-1-111i−i−ii−ii-11−ii−ii-11i−i
χ2111-1-1111111i−i-1-1-1-1-1-1111111-1-1-1-1-1-1iii−i−i−i-1111-1-1−iii−ii−i11-1-1iii−i−i−iii−i−i-1-1111111-1-1-1-1−i−iiiii−i−iii−i−i-1-1-1111-1-1-1-1−ii−iii−i1111ii−i−i-1111-1-1−iii−ii−i-11−ii−ii1-1−ii
χ2211-1-1111111i−i-1-1-1-1-1-1111111-1-1-1-1-1-1iii−i−i−i-11-11-11−iii−i−ii11-1-1iii−i−i−iii−i−i-1-111-1-111-1-111−i−iiiii−i−i−i−iii-1111-1-1-1-111−iii−i−ii11-1-1−i−iii-11-11-11−iii−i−ii1-1−iii−i-11i−i
χ2311-1-1111111i−i-1-1-1-1-1-1111111-1-1-1-1-1-1iii−i−i−i-1-1111-1−ii−iii−i11-1-1iii−i−i−iii−i−i-1-1-1-1111111-1-1−i−iii−i−iiiii−i−i1-11-11-111-1-1i−i−ii−ii-1-111−i−iii-1-1111-1−ii−iii−i1-1i−i−ii-11i−i
χ2411-1-1111111i−i-1-1-1-1-1-1111111-1-1-1-1-1-1iii−i−i−i-1-1-1111−ii−ii−ii11-1-1iii−i−i−iii−i−i-1-1-1-1-1-1111111−i−iii−i−iii−i−iii11-1-1-111111i−ii−ii−i-1-1-1-1ii−i−i-1-1-1111−ii−ii−ii-11i−ii−i1-1−ii
χ2511-1-1111111−ii-1-1-1-1-1-1111111-1-1-1-1-1-1−i−i−iiii111-1-1-1−ii−ii−ii11-1-1−i−i−iiii−i−iii111111-1-1-1-1-1-1−i−iii−i−iii−i−iii11-1-1-111111−ii−ii−ii-1-1-1-1−i−iii111-1-1-1−ii−ii−ii-11−ii−ii-11−ii
χ2611-1-1111111−ii-1-1-1-1-1-1111111-1-1-1-1-1-1−i−i−iiii11-1-1-11−ii−iii−i11-1-1−i−i−iiii−i−iii1111-1-1-1-1-1-111−i−iii−i−iiiii−i−i1-11-11-111-1-1−iii−ii−i-1-111ii−i−i11-1-1-11−ii−iii−i1-1−iii−i1-1i−i
χ2711-1-1111111−ii-1-1-1-1-1-1111111-1-1-1-1-1-1−i−i−iiii1-11-11-1−iii−i−ii11-1-1−i−i−iiii−i−iii11-1-111-1-111-1-1−i−iiiii−i−i−i−iii-1111-1-1-1-111i−i−iii−i11-1-1ii−i−i1-11-11-1−iii−i−ii1-1i−i−ii1-1i−i
χ2811-1-1111111−ii-1-1-1-1-1-1111111-1-1-1-1-1-1−i−i−iiii1-1-1-111−iii−ii−i11-1-1−i−i−iiii−i−iii11-1-1-1-1-1-11111−i−iiiii−i−iii−i−i-1-1-1111-1-1-1-1i−ii−i−ii1111−i−iii1-1-1-111−iii−ii−i-11i−ii−i-11−ii
χ2911-1-1111111−ii-1-1-1-1-1-1111111-1-1-1-1-1-1−i−i−iiii-1111-1-1i−i−ii−ii11-1-1−i−i−iiii−i−iii-1-1111111-1-1-1-1ii−i−i−i−iii−i−iii-1-1-1111-1-1-1-1i−ii−i−ii1111−i−iii-1111-1-1i−i−ii−ii-11i−ii−i1-1i−i
χ3011-1-1111111−ii-1-1-1-1-1-1111111-1-1-1-1-1-1−i−i−iiii-11-11-11i−i−iii−i11-1-1−i−i−iiii−i−iii-1-111-1-111-1-111ii−i−i−i−iiiii−i−i-1111-1-1-1-111i−i−iii−i11-1-1ii−i−i-11-11-11i−i−iii−i1-1i−i−ii-11−ii
χ3111-1-1111111−ii-1-1-1-1-1-1111111-1-1-1-1-1-1−i−i−iiii-1-1111-1i−ii−i−ii11-1-1−i−i−iiii−i−iii-1-1-1-1111111-1-1ii−i−iii−i−i−i−iii1-11-11-111-1-1−iii−ii−i-1-111ii−i−i-1-1111-1i−ii−i−ii1-1−iii−i-11−ii
χ3211-1-1111111−ii-1-1-1-1-1-1111111-1-1-1-1-1-1−i−i−iiii-1-1-1111i−ii−ii−i11-1-1−i−i−iiii−i−iii-1-1-1-1-1-1111111ii−i−iii−i−iii−i−i11-1-1-111111−ii−ii−ii-1-1-1-1−i−iii-1-1-1111i−ii−ii−i-11−ii−ii1-1i−i
χ33222222-122-1222222-1-12-1-12-1-122-1-1-1-122-122-1022022002222-1-1-1-12-1-12-1-1-1-1-1-1002-12-1002-12-100002-12-12-12-100200200000000220000-1-1-1-10-1-10-1-100-1-1-1-1-1-100000000
χ34222222-122-1222222-1-12-1-12-1-122-1-1-1-122-122-102-202-20022-2-2-1-1-1-12-1-12-1-1-1-1-1-1002-1-21002-1-2100002-12-1-21-2100-200-200000000-2-2000011110-110-1100-1-1111100000000
χ35222222-122-1222222-1-12-1-12-1-122-1-1-1-122-122-10-220-2200-2-222-1-1-1-12-1-12-1-1-1-1-1-100-212-100-212-10000-21-212-12-100-200-200000000-2-20000111101-101-10011-1-11100000000
χ36222222-122-1222222-1-12-1-12-1-122-1-1-1-122-122-10-2-20-2-200-2-2-2-2-1-1-1-12-1-12-1-1-1-1-1-100-21-2100-21-210000-21-21-21-2100200200000000220000-1-1-1-1011011001111-1-100000000
χ37222222-122-1-2-22222-1-12-1-12-1-122-1-1-1-1-2-21-2-2102202200-2-2-2-2-1-1-1-1-211-2111111002-12-1002-12-10000-21-21-21-2100200200000000-2-2000011110-1-10-1-1001111-1-100000000
χ38222222-122-1-2-22222-1-12-1-12-1-122-1-1-1-1-2-21-2-2102-202-200-2-222-1-1-1-1-211-2111111002-1-21002-1-210000-21-212-12-100-200-200000000220000-1-1-1-10-110-110011-1-11100000000
χ39222222-122-1-2-22222-1-12-1-12-1-122-1-1-1-1-2-21-2-210-220-220022-2-2-1-1-1-1-211-211111100-212-100-212-100002-12-1-21-2100-200-200000000220000-1-1-1-101-101-100-1-1111100000000
χ40222222-122-1-2-22222-1-12-1-12-1-122-1-1-1-1-2-21-2-210-2-20-2-2002222-1-1-1-1-211-211111100-21-2100-21-2100002-12-12-12-100200200000000-2-20000111101101100-1-1-1-1-1-100000000
χ4122222-122-122222-1-122-12-1-12-1-1-122-1-12-122-12202202220022-1-1-1-1-12-1-12-1-1-1-1-12-100-122-100-122-12-10000-12-1202002000-1-100220000-1-10000-10-1-10-1-1-100-1-10000-1-10000
χ4222222-122-122222-1-122-12-1-12-1-1-122-1-12-122-1220-220-22200-2-2-1-1-1-1-12-1-12-1-1-1-1-12-1001-22-1001-22-12-100001-21-20-200-20001100-2-20000110000-101-101-1-100110000110000
χ4322222-122-122222-1-122-12-1-12-1-1-122-1-12-122-12-202-202-2-20022-1-1-1-1-12-1-12-1-1-1-1-1-2100-12-2100-12-21-210000-12-120-200-20001100-2-2000011000010-110-11100-1-10000110000
χ4422222-122-122222-1-122-12-1-12-1-1-122-1-12-122-12-20-2-20-2-2-200-2-2-1-1-1-1-12-1-12-1-1-1-1-1-21001-2-21001-2-21-2100001-21-202002000-1-100220000-1-100001011011100110000-1-10000
χ4522222-122-12-2-222-1-122-12-1-12-1-1-122-1-1-21-2-21-2202202-2-200-2-2-1-1-1-11-211-2111112-100-122-100-12-21-2100001-21-202002000-1-100-2-20000-1-10000-10-1-10-11100110000110000
χ4622222-122-12-2-222-1-122-12-1-12-1-1-122-1-1-21-2-21-220-220-2-2-20022-1-1-1-11-211-2111112-1001-22-1001-2-21-210000-12-120-200-20001100220000110000-101-1011100-1-10000-1-10000
χ4722222-122-12-2-222-1-122-12-1-12-1-1-122-1-1-21-2-21-2-202-2022200-2-2-1-1-1-11-211-211111-2100-12-2100-122-12-100001-21-20-200-2000110022000011000010-110-1-1-100110000-1-10000
χ4822222-122-12-2-222-1-122-12-1-12-1-1-122-1-1-21-2-21-2-20-2-20-2220022-1-1-1-11-211-211111-21001-2-21001-22-12-10000-12-1202002000-1-100-2-20000-1-10000101101-1-100-1-10000110000
χ492222-122-12222-1-12222-1-12-1-12-1-1-1-122-122-122220220222200-1-1-1-1-1-12-1-12-1-1-1-1-12-1200-12-1200-12-12-12-120000200200-1-100220000-1-1000000-1-10-1-10-1-1-1-10000-1-1000000
χ502222-122-12222-1-12222-1-12-1-12-1-1-1-122-122-1222-202-2022-2-200-1-1-1-1-1-12-1-12-1-1-1-1-121-200-121-200-12-121-21-20000-200-2001100-2-2000011000000-110-110-1-111000011000000
χ512222-122-12222-1-12222-1-12-1-12-1-1-1-122-122-122-220-220-2-22200-1-1-1-1-1-12-1-12-1-1-1-11-2-12001-2-12001-21-2-12-120000-200-2001100-2-20000110000001-101-1011-1-1000011000000
χ522222-122-12222-1-12222-1-12-1-12-1-1-1-122-122-122-2-20-2-20-2-2-2-200-1-1-1-1-1-12-1-12-1-1-1-11-21-2001-21-2001-21-21-21-20000200200-1-100220000-1-100000011011011110000-1-1000000
χ532222-122-122-2-2-1-12222-1-12-1-12-1-1-1-1221-2-21-2-2220220-2-2-2-200-1-1-1-111-211-21111-12-1200-12-12001-21-21-21-20000200200-1-100-2-20000-1-1000000-1-10-1-101111000011000000
χ542222-122-122-2-2-1-12222-1-12-1-12-1-1-1-1221-2-21-2-22-202-20-2-22200-1-1-1-111-211-21111-121-200-121-2001-21-2-12-120000-200-200110022000011000000-110-11011-1-10000-1-1000000
χ552222-122-122-2-2-1-12222-1-12-1-12-1-1-1-1221-2-21-2-2-220-22022-2-200-1-1-1-111-211-211111-2-12001-2-1200-12-121-21-20000-200-2001100220000110000001-101-10-1-1110000-1-1000000
χ562222-122-122-2-2-1-12222-1-12-1-12-1-1-1-1221-2-21-2-2-2-20-2-20222200-1-1-1-111-211-211111-21-2001-21-200-12-12-12-120000200200-1-100-2-20000-1-1000000110110-1-1-1-1000011000000
χ5722-2-222-122-12i−2i-2-2-2-2112-1-12-1-1-2-211112i2i−i−2i−2ii0220-2-2002i−2i2i−2i-1-1112i−i−i−2iii−i−iii002-12-100-21-2100002i−i−2ii2i−i−2ii00-2002000000002i−2i0000−i−iii0-1-101100−ii−ii1-100000000
χ5822-2-222-122-12i−2i-2-2-2-2112-1-12-1-1-2-211112i2i−i−2i−2ii02-20-22002i−2i−2i2i-1-1112i−i−i−2iii−i−iii002-1-2100-212-100002i−i−2ii−2ii2i−i00200-200000000−2i2i0000ii−i−i0-1101-100−iii−i-1100000000
χ5922-2-222-122-12i−2i-2-2-2-2112-1-12-1-1-2-211112i2i−i−2i−2ii0-2202-200−2i2i2i−2i-1-1112i−i−i−2iii−i−iii00-212-1002-1-210000−2ii2i−i2i−i−2ii00200-200000000−2i2i0000ii−i−i01-10-1100i−i−ii-1100000000
χ6022-2-222-122-12i−2i-2-2-2-2112-1-12-1-1-2-211112i2i−i−2i−2ii0-2-202200−2i2i−2i2i-1-1112i−i−i−2iii−i−iii00-21-21002-12-10000−2ii2i−i−2ii2i−i00-2002000000002i−2i0000−i−iii0110-1-100i−ii−i1-100000000
χ6122-2-222-122-1−2i2i-2-2-2-2112-1-12-1-1-2-21111−2i−2ii2i2i−i0220-2-200−2i2i−2i2i-1-111−2iii2i−i−iii−i−i002-12-100-21-210000−2ii2i−i−2ii2i−i00-200200000000−2i2i0000ii−i−i0-1-101100i−ii−i1-100000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.