Finite Group Databasebeta

← Group #13167772

Character table — Group #13167772

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size1111222222222222224444444444444444446666666666668888888888888899999999999912121212121212121212121212121212121212121212121218181818181818181818181818181818181824242424242424242424242436363636363654545454
order12443336668812121212121233366612121212121224242424242422244488888836121224242424242424242424224488888888666666121212121212242424242424242424242424224466881212242424242424242466612121224242424242466121224242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-111-11111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-111-11111-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111111111111-111-1111-1-11111111111111111-1-1-1-11111-1-1-1-111-1-11111-1-1111111-1-1-1-111111-11-1-1-1-1-1-1-11111-1-1-1-11-111-1111-1-1111-11-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111-1-11-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-111111-1-11-1-111-1-1-1-1-11-11-1-11111
χ5111111111111111111111111111111111111-111-111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-111111111-11-11-1-1-1-1-1-1-1-1-1-11111-111-111-1-11111-11-11-1-1-1-1-1-1
χ6111111111111111111111111111111111111-11-1-11-1-1-111-1-111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-11-1-1-1-1-1-1-11111-1-1-1-1-11-1-11-1-1-111-1-11-11-1-1-11111
χ7111111111111111111111111111111111111-1-11-1-11-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111-1-1-1-1111111
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
χ91111111111-1-1111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1
χ101111111111-1-1111111111111111111-1-1-1-1-1-111-111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111111111-111-1-1-1-1-111-1-1-1-1-1-1-1-111
χ111111111111-1-1111111111111111111-1-1-1-1-1-11-111-11-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-11111-1-1-1-11-11-1-1-111-1-1-1-1-1-111111-111-11-1-111-1-11-11-111-1-111
χ121111111111-1-1111111111111111111-1-1-1-1-1-11-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-11-11-1-111-1-11111-1-1-1-11-1-11-1-1-1-11111-11-111111-1-1
χ131111111111-1-1111111111111111111-1-1-1-1-1-1-111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-11111-1-1-1-1-111-11111-1-1-1-1-11-1111-1-111
χ141111111111-1-1111111111111111111-1-1-1-1-1-1-11-1-11-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-111111-11-1-1-111-1-1-1-1-1-11111-11-1-11-111-1-1111-11-11111-1-1
χ151111111111-1-1111111111111111111-1-1-1-1-1-1-1-11-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111111111-1-11-1-111111-1-1-1-1-1-1-1-111-1-1
χ161111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
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−i11-1-1ii−i−iii−i−i111111-1-1-1-1-1-1ii−i−iii−i−iii−i−i-1-11111i−i-1-1ii−i−iii−i−i111-1-1-1i−ii−ii−i-1-111i−i1-1i−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−i11-1-1−i−iii−i−iii1111-1-1-1-1-1-111ii−i−iii−i−i−i−iii11-1-111i−i-1-1−i−iii−i−iii11-1-1-11i−ii−i−ii11-1-1i−i-11−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−i-1-111ii−i−i−i−iii11-1-111-1-111-1-1ii−i−i−i−iiiii−i−i-111-1-1-1−ii11ii−i−i−i−iii1-11-11-1i−i−iii−i-111-1−ii-11−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−i-1-111−i−iiiii−i−i11-1-1-1-1-1-11111ii−i−i−i−iii−i−iii1-1-11-1-1−ii11−i−iiiii−i−i1-1-1-111i−i−ii−ii1-1-11−ii1-1i−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-1-111−i−iiiii−i−i-1-1111111-1-1-1-1−i−iiiii−i−iii−i−i1-1-11-1-1−ii11−i−iiiii−i−i-1111-1-1−iii−ii−i1-1-11−ii-11−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-1-111ii−i−i−i−iii-1-111-1-111-1-111−i−iiiii−i−i−i−iii-111-1-1-1−ii11ii−i−i−i−iii-11-11-11−iii−i−ii-111-1−ii1-1i−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−i11-1-1−i−iii−i−iii-1-1-1-1111111-1-1−i−iii−i−iiiii−i−i11-1-111i−i-1-1−i−iii−i−iii-1-1111-1−ii−iii−i11-1-1i−i1-1i−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−i11-1-1ii−i−iii−i−i-1-1-1-1-1-1111111−i−iii−i−iii−i−iii-1-11111i−i-1-1ii−i−iii−i−i-1-1-1111−ii−ii−ii-1-111i−i-11−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−iii11-1-1−i−iii−i−iii111111-1-1-1-1-1-1−i−iii−i−iii−i−iii-1-11111−ii-1-1−i−iii−i−iii111-1-1-1−ii−ii−ii-1-111−ii1-1−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−iii11-1-1ii−i−iii−i−i1111-1-1-1-1-1-111−i−iii−i−iiiii−i−i11-1-111−ii-1-1ii−i−iii−i−i11-1-1-11−ii−iii−i11-1-1−ii-11i−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−iii-1-111−i−iiiii−i−i11-1-111-1-111-1-1−i−iiiii−i−i−i−iii-111-1-1-1i−i11−i−iiiii−i−i1-11-11-1−iii−i−ii-111-1i−i-11i−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−iii-1-111ii−i−i−i−iii11-1-1-1-1-1-11111−i−iiiii−i−iii−i−i1-1-11-1-1i−i11ii−i−i−i−iii1-1-1-111−iii−ii−i1-1-11i−i1-1−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-1-111ii−i−i−i−iii-1-1111111-1-1-1-1ii−i−i−i−iii−i−iii1-1-11-1-1i−i11ii−i−i−i−iii-1111-1-1i−i−ii−ii1-1-11i−i-11i−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−i−iiiii−i−i-1-111-1-111-1-111ii−i−i−i−iiiii−i−i-111-1-1-1i−i11−i−iiiii−i−i-11-11-11i−i−iii−i-111-1i−i1-1−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−iii11-1-1ii−i−iii−i−i-1-1-1-1111111-1-1ii−i−iii−i−i−i−iii11-1-111−ii-1-1ii−i−iii−i−i-1-1111-1i−ii−i−ii11-1-1−ii1-1−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−iii11-1-1−i−iii−i−iii-1-1-1-1-1-1111111ii−i−iii−i−iii−i−i-1-11111−ii-1-1−i−iii−i−iii-1-1-1111i−ii−ii−i-1-111−ii-11i−i
χ33222222-122-1222222-1-12-1-12-1-122-1-1-1-122-122-1022022002222-1-1-1-12-1-12-1-1-1-1-1-1000000002222002-12-1002-12-100002-12-12-12-102020000000000-1-1-1-10-1-10-1-100-1-1-1-10-10-1000000
χ34222222-122-1222222-1-12-1-12-1-122-1-1-1-122-122-102-202-20022-2-2-1-1-1-12-1-12-1-1-1-1-1-100000000-2-2-2-2002-1-21002-1-2100002-12-1-21-210-20-2000000000011110-110-1100-1-1110101000000
χ35222222-122-1222222-1-12-1-12-1-122-1-1-1-122-122-10-220-2200-2-222-1-1-1-12-1-12-1-1-1-1-1-100000000-2-2-2-200-212-100-212-10000-21-212-12-10-20-20000000000111101-101-10011-1-10101000000
χ36222222-122-1222222-1-12-1-12-1-122-1-1-1-122-122-10-2-20-2-200-2-2-2-2-1-1-1-12-1-12-1-1-1-1-1-100000000222200-21-2100-21-210000-21-21-21-2102020000000000-1-1-1-10110110011110-10-1000000
χ37222222-122-1-2-22222-1-12-1-12-1-122-1-1-1-1-2-21-2-2102202200-2-2-2-2-1-1-1-1-211-211111100000000-2-2-2-2002-12-1002-12-10000-21-21-21-210202000000000011110-1-10-1-10011110-10-1000000
χ38222222-122-1-2-22222-1-12-1-12-1-122-1-1-1-1-2-21-2-2102-202-200-2-222-1-1-1-1-211-2111111000000002222002-1-21002-1-210000-21-212-12-10-20-20000000000-1-1-1-10-110-110011-1-10101000000
χ39222222-122-1-2-22222-1-12-1-12-1-122-1-1-1-1-2-21-2-210-220-220022-2-2-1-1-1-1-211-211111100000000222200-212-100-212-100002-12-1-21-210-20-20000000000-1-1-1-101-101-100-1-1110101000000
χ40222222-122-1-2-22222-1-12-1-12-1-122-1-1-1-1-2-21-2-210-2-20-2-2002222-1-1-1-1-211-211111100000000-2-2-2-200-21-2100-21-2100002-12-12-12-102020000000000111101101100-1-1-1-10-10-1000000
χ4122222-122-122222-1-122-12-1-12-1-1-122-1-12-122-12202202220022-1-1-1-1-12-1-12-1-1-1-1-10000222200002-100-122-100-122-12-10000-12-122020000000-1-1-1-10000-10-1-10-1-1-100-1-1-10-10000000
χ4222222-122-122222-1-122-12-1-12-1-1-122-1-12-122-1220-220-22200-2-2-1-1-1-1-12-1-12-1-1-1-1-10000-2-2-2-200002-1001-22-1001-22-12-100001-21-2-20-2000000011110000-101-101-1-100111010000000
χ4322222-122-122222-1-122-12-1-12-1-1-122-1-12-122-12-202-202-2-20022-1-1-1-1-12-1-12-1-1-1-1-10000-2-2-2-20000-2100-12-2100-12-21-210000-12-12-20-200000001111000010-110-11100-1-11010000000
χ4422222-122-122222-1-122-12-1-12-1-1-122-1-12-122-12-20-2-20-2-2-200-2-2-1-1-1-1-12-1-12-1-1-1-1-1000022220000-21001-2-21001-2-21-2100001-21-22020000000-1-1-1-10000101101110011-10-10000000
χ4522222-122-12-2-222-1-122-12-1-12-1-1-122-1-1-21-2-21-2202202-2-200-2-2-1-1-1-11-211-2111110000-2-2-2-200002-100-122-100-12-21-2100001-21-2202000000011110000-10-1-10-1110011-10-10000000
χ4622222-122-12-2-222-1-122-12-1-12-1-1-122-1-1-21-2-21-220-220-2-2-20022-1-1-1-11-211-2111110000222200002-1001-22-1001-2-21-210000-12-12-20-20000000-1-1-1-10000-101-1011100-1-11010000000
χ4722222-122-12-2-222-1-122-12-1-12-1-1-122-1-1-21-2-21-2-202-2022200-2-2-1-1-1-11-211-211111000022220000-2100-12-2100-122-12-100001-21-2-20-20000000-1-1-1-1000010-110-1-1-100111010000000
χ4822222-122-12-2-222-1-122-12-1-12-1-1-122-1-1-21-2-21-2-20-2-20-2220022-1-1-1-11-211-2111110000-2-2-2-20000-21001-2-21001-22-12-10000-12-12202000000011110000101101-1-100-1-1-10-10000000
χ492222-122-12222-1-12222-1-12-1-12-1-1-1-122-122-122220220222200-1-1-1-1-1-12-1-12-1-1-1-1222200000000-12-1200-12-1200-12-12-12-1200000000-1-122-1-100000000-1-10-1-10-1-1-1-1000000-1-10000
χ502222-122-12222-1-12222-1-12-1-12-1-1-1-122-122-1222-202-2022-2-200-1-1-1-1-1-12-1-12-1-1-1-1-2-2-2-200000000-121-200-121-200-12-121-21-20000000011-2-21100000000-110-110-1-111000000110000
χ512222-122-12222-1-12222-1-12-1-12-1-1-1-122-122-122-220-220-2-22200-1-1-1-1-1-12-1-12-1-1-1-1-2-2-2-2000000001-2-12001-2-12001-21-2-12-120000000011-2-211000000001-101-1011-1-1000000110000
χ522222-122-12222-1-12222-1-12-1-12-1-1-1-122-122-122-2-20-2-20-2-2-2-200-1-1-1-1-1-12-1-12-1-1-1-12222000000001-21-2001-21-2001-21-21-21-200000000-1-122-1-1000000001101101111000000-1-10000
χ532222-122-122-2-2-1-12222-1-12-1-12-1-1-1-1221-2-21-2-2220220-2-2-2-200-1-1-1-111-211-21111222200000000-12-1200-12-12001-21-21-21-200000000-1-1-2-2-1-100000000-1-10-1-101111000000110000
χ542222-122-122-2-2-1-12222-1-12-1-12-1-1-1-1221-2-21-2-22-202-20-2-22200-1-1-1-111-211-21111-2-2-2-200000000-121-200-121-2001-21-2-12-120000000011221100000000-110-11011-1-1000000-1-10000
χ552222-122-122-2-2-1-12222-1-12-1-12-1-1-1-1221-2-21-2-2-220-22022-2-200-1-1-1-111-211-21111-2-2-2-2000000001-2-12001-2-1200-12-121-21-200000000112211000000001-101-10-1-111000000-1-10000
χ562222-122-122-2-2-1-12222-1-12-1-12-1-1-1-1221-2-21-2-2-2-20-2-20222200-1-1-1-111-211-211112222000000001-21-2001-21-200-12-12-12-1200000000-1-1-2-2-1-100000000110110-1-1-1-1000000110000
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−iii000000002i2i−2i−2i002-12-100-21-2100002i−i−2ii2i−i−2ii0-2020000000000−i−iii0-1-101100−ii−ii010-1000000
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χ1214-4−4i4i4-24-42-400−4i4i2i−2i−4i4i-24-22-422i−2i−4i4i2i−2i000000000000000000-222i−2i000000000000004ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ1300000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000000000000000000000
χ1224-4−4i4i4-24-42-400−4i4i2i−2i−4i4i-24-22-422i−2i−4i4i2i−2i000000000000000000-222i−2i00000000000000−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ13000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000000000000000000000
χ1234-4−4i4i-2442-4-4002i−2i−4i4i−4i4i-2-2422-42i−2i2i−2i−4i4i000000000000000000-222i−2i00000000004-4−4i4i000000000000000000000000000000000000-22002i−2i000000000000000000000000000000
χ1244-4−4i4i-2442-4-4002i−2i−4i4i−4i4i-2-2422-42i−2i2i−2i−4i4i000000000000000000-222i−2i0000000000-444i−4i0000000000000000000000000000000000002-200−2i2i000000000000000000000000000000
χ1258888-4-4-4-4-4-488-4-4-4-4-4-4222222222222-4-4-4-4-4-4000000000000-1-1-1-1222222-1-1-1-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268888-4-4-4-4-4-4-8-8-4-4-4-4-4-4222222222222444444000000000000-1-1-1-1-2-2-2-2-2-211110000000000000000000000000000000000000000000000000000000000000000000000000000
χ12788-8-8-4-4-4-4-4-48i−8i444444222222-2-2-2-2-2-2−4i−4i−4i4i4i4i000000000000-1-1112i2i2i−2i−2i−2i−i−iii0000000000000000000000000000000000000000000000000000000000000000000000000000
χ12888-8-8-4-4-4-4-4-4−8i8i444444222222-2-2-2-2-2-24i4i4i−4i−4i−4i000000000000-1-111−2i−2i−2i2i2i2iii−i−i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1298-88i−8i8-4-4-844008i−8i−4i4i−4i4i-4-4244-2−4i4i−4i4i2i−2i0000000000000000002-22i−2i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1308-88i−8i-48-44-8400−4i4i8i−8i−4i4i-42-44-24−4i4i2i−2i−4i4i0000000000000000002-22i−2i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-88i−8i-4-4844-800−4i4i−4i4i8i−8i2-4-4-2442i−2i−4i4i−4i4i0000000000000000002-22i−2i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-88i−8i-4-4-444400−4i4i−4i4i−4i4i222-2-2-22i−2i2i−2i2i−2i000000000000000000-11−ii000000−3ζ7+3ζ233ζ7−3ζ233ζ5−3ζ13−3ζ5+3ζ130000000000000000000000000000000000000000000000000000000000000000000000000000
χ1338-88i−8i-4-4-444400−4i4i−4i4i−4i4i222-2-2-22i−2i2i−2i2i−2i000000000000000000-11−ii0000003ζ7−3ζ23−3ζ7+3ζ23−3ζ5+3ζ133ζ5−3ζ130000000000000000000000000000000000000000000000000000000000000000000000000000
χ1348-8−8i8i8-4-4-84400−8i8i4i−4i4i−4i-4-4244-24i−4i4i−4i−2i2i0000000000000000002-2−2i2i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1358-8−8i8i-48-44-84004i−4i−8i8i4i−4i-42-44-244i−4i−2i2i4i−4i0000000000000000002-2−2i2i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1368-8−8i8i-4-4844-8004i−4i4i−4i−8i8i2-4-4-244−2i2i4i−4i4i−4i0000000000000000002-2−2i2i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1378-8−8i8i-4-4-4444004i−4i4i−4i4i−4i222-2-2-2−2i2i−2i2i−2i2i000000000000000000-11i−i0000003ζ5−3ζ13−3ζ5+3ζ13−3ζ7+3ζ233ζ7−3ζ230000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-8−8i8i-4-4-4444004i−4i4i−4i4i−4i222-2-2-2−2i2i−2i2i−2i2i000000000000000000-11i−i000000−3ζ5+3ζ133ζ5−3ζ133ζ7−3ζ23−3ζ7+3ζ230000000000000000000000000000000000000000000000000000000000000000000000000000

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