Finite Group Databasebeta

← Group #11790815

Character table — Group #11790815

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444442424242424242424242424242424242424242424242424243636363636363636
order1222444422334466666612121212121212123444466666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121222446666888812121212242424242424242444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-11-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-11-11-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11ii−i−i-1-111-1-1-1-11-1-111111111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-11111i−ii−i-1-1-1-1ii−i−iii−i−i11-1-1ii−i−i
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11ii−i−i-1-111-1-1-1-11-1-111111111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1-1-1111-1-1i−i−ii-1-111ii−i−i−i−iii-1-111−i−iii
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11ii−i−i-1-111-1-1-1-11-1-111111111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-111-1-1-111−iii−i11-1-1−i−iiiii−i−i-1-111−i−iii
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11ii−i−i-1-111-1-1-1-11-1-111111111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-111-1-1-1-1−ii−ii1111−i−iii−i−iii11-1-1ii−i−i
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11−i−iii-1-111-1-1-1-11-1-111111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11-1-11111−ii−ii-1-1-1-1−i−iii−i−iii11-1-1−i−iii
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11−i−iii-1-111-1-1-1-11-1-111111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii1-1-1111-1-1−iii−i-1-111−i−iiiii−i−i-1-111ii−i−i
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11−i−iii-1-111-1-1-1-11-1-111111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-111-1-1-111i−i−ii11-1-1ii−i−i−i−iii-1-111ii−i−i
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11−i−iii-1-111-1-1-1-11-1-111111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-111-1-1-1-1i−ii−i1111ii−i−iii−i−i11-1-1−i−iii
χ1722222222222-12222-1-12-122-1-122-1-1-122222-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1020200-1-1002200-1-10000-1-1-1-100000000
χ1822222222222-12222-1-12-122-1-122-1-1-122222-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10-20-2001100-2-200110000111100000000
χ1922222222222-12222-1-12-122-1-122-1-1-1-2-2-2-22-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111020200-1-100-2-200-1-10000111100000000
χ2022222222222-12222-1-12-122-1-122-1-1-1-2-2-2-22-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110-20-20011002200110000-1-1-1-100000000
χ212222222222-1222-1-122-12-1-122-1-122-12222-12-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12020-1-1002200-1-100-1-1-1-1000000000000
χ222222222222-1222-1-122-12-1-122-1-122-12222-12-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-20-201100-2-20011001111000000000000
χ232222222222-1222-1-122-12-1-122-1-122-1-2-2-2-2-12-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-2111111112020-1-100-2-200-1-1001111000000000000
χ242222222222-1222-1-122-12-1-122-1-122-1-2-2-2-2-12-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-20-20110022001100-1-1-1-1000000000000
χ2522222222-2-222-2-22222222222222220000-2-222-2-2-2-22-2-2-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000000000000000002-22-20000
χ2622222222-2-222-2-22222222222222220000-2-222-2-2-2-22-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000000000000000-22-220000
χ272222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-22000022222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000002-2-220000
χ282222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-22000022222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000-222-20000
χ292222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-12i2i−2i−2i-21-1-111-21-11122-1-1-1-1-1-111112i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii020-200-1-1002i−2i00110000−i−iii00000000
χ302222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-12i2i−2i−2i-21-1-111-21-11122-1-1-1-1-1-111112i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii0-202001100−2i2i00-1-10000ii−i−i00000000
χ312222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1−2i−2i2i2i-21-1-111-21-11122-1-1-1-1-1-11111−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i020-200-1-100−2i2i00110000ii−i−i00000000
χ322222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1−2i−2i2i2i-21-1-111-21-11122-1-1-1-1-1-11111−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i0-2020011002i−2i00-1-10000−i−iii00000000
χ332222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-12i2i−2i−2i1-2-1-1111-2-111-1-122-1-1-1-11111−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiii20-20-1-1002i−2i001100−i−iii000000000000
χ342222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-12i2i−2i−2i1-2-1-1111-2-111-1-122-1-1-1-11111−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiii-20201100−2i2i00-1-100ii−i−i000000000000
χ352222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-1−2i−2i2i2i1-2-1-1111-2-111-1-122-1-1-1-11111iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i20-20-1-100−2i2i001100ii−i−i000000000000
χ362222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-1−2i−2i2i2i1-2-1-1111-2-111-1-122-1-1-1-11111iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i-202011002i−2i00-1-100−i−iii000000000000
χ3722-2-222-2-22-2222-2-2-2-2-2222222-2-2-2-220000-2-2-2-2-2-2222222-22-222-2-222-2-20000000000000000000000000000000000000000000000000000000000002i−2i2i−2i
χ3822-2-222-2-22-2222-2-2-2-2-2222222-2-2-2-220000-2-2-2-2-2-2222222-22-222-2-222-2-2000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ3922-2-222-2-2-2222-22-2-2-2-2222222-2-2-2-222i−2i2i−2i22-2-222-2-22-2-2-22-22-2-22222-2-22i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000
χ4022-2-222-2-2-2222-22-2-2-2-2222222-2-2-2-22−2i2i−2i2i22-2-222-2-22-2-2-22-22-2-22222-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000
χ4122-2-222-2-2-222-1-22-2-2112-122-1-1-2-211-12i−2i2i−2i2-111-1-1-21-111-221-111-1-1-1-1112i2i−2i−2i−i−iii−i−i−i−iiiii2i2i−2i−2i−i−iii−i−i−i−iiiii000000−i3i3000000−i3i300003−33−300000000
χ4222-2-222-2-2-222-1-22-2-2112-122-1-1-2-211-12i−2i2i−2i2-111-1-1-21-111-221-111-1-1-1-1112i2i−2i−2i−i−iii−i−i−i−iiiii2i2i−2i−2i−i−iii−i−i−i−iiiii000000i3−i3000000i3−i30000−33−3300000000
χ4322-2-222-2-2-222-1-22-2-2112-122-1-1-2-211-1−2i2i−2i2i2-111-1-1-21-111-221-111-1-1-1-111−2i−2i2i2iii−i−iiiii−i−i−i−i−2i−2i2i2iii−i−iiiii−i−i−i−i000000−i3i3000000−i3i30000−33−3300000000
χ4422-2-222-2-2-222-1-22-2-2112-122-1-1-2-211-1−2i2i−2i2i2-111-1-1-21-111-221-111-1-1-1-111−2i−2i2i2iii−i−iiiii−i−i−i−i−2i−2i2i2iii−i−iiiii−i−i−i−i000000i3−i3000000i3−i300003−33−300000000
χ4522-2-222-2-2-22-12-2211-2-2-12-1-12211-2-2-12i−2i2i−2i-1211-1-11-2-1111-1-2211-1-1-1-111−i−iii2i2i−2i−2i−i−i−i−iiiii−i−iii2i2i−2i−2i−i−i−i−iiiii0000−i3i3000000−i3i3003−33−3000000000000
χ4622-2-222-2-2-22-12-2211-2-2-12-1-12211-2-2-12i−2i2i−2i-1211-1-11-2-1111-1-2211-1-1-1-111−i−iii2i2i−2i−2i−i−i−i−iiiii−i−iii2i2i−2i−2i−i−i−i−iiiii0000i3−i3000000i3−i300−33−33000000000000
χ4722-2-222-2-2-22-12-2211-2-2-12-1-12211-2-2-1−2i2i−2i2i-1211-1-11-2-1111-1-2211-1-1-1-111ii−i−i−2i−2i2i2iiiii−i−i−i−iii−i−i−2i−2i2i2iiiii−i−i−i−i0000−i3i3000000−i3i300−33−33000000000000
χ4822-2-222-2-2-22-12-2211-2-2-12-1-12211-2-2-1−2i2i−2i2i-1211-1-11-2-1111-1-2211-1-1-1-111ii−i−i−2i−2i2i2iiiii−i−i−i−iii−i−i−2i−2i2i2iiiii−i−i−i−i0000i3−i3000000i3−i3003−33−3000000000000
χ4922-2-2-2-2222-222-22-2-2-2-222-2-2-2-2222222-2-22-2-2-2-2-2-222222-22-22-2-222-2-22222-2-222-2-22222-2-2-2-2-2-222-2-222-2-2-2-2222200000000000000000000000000000000
χ5022-2-2-2-2222-222-22-2-2-2-222-2-2-2-222222-222-2-2-2-2-2-2-222222-22-22-2-222-2-222-2-222-2-222-2-2-2-2222222-2-222-2-22222-2-2-2-200000000000000000000000000000000
χ5122-2-2-2-2222-22-1-22-2-2112-1-2-21122-1-1-12-2-22-2111112-1-1-1-1-221-111-1-111-1-122-2-2-1-111-1-1-1-11111-2-22211-1-11111-1-1-1-1000000−i3i3000000i3−i30000−i3i3i3−i300000000
χ5222-2-2-2-2222-22-1-22-2-2112-1-2-21122-1-1-12-2-22-2111112-1-1-1-1-221-111-1-111-1-122-2-2-1-111-1-1-1-11111-2-22211-1-11111-1-1-1-1000000i3−i3000000−i3i30000i3−i3−i3i300000000
χ5322-2-2-2-2222-22-1-22-2-2112-1-2-21122-1-1-1-222-2-2111112-1-1-1-1-221-111-1-111-1-1-2-22211-1-11111-1-1-1-122-2-2-1-111-1-1-1-11111000000−i3i3000000i3−i30000i3−i3−i3i300000000
χ5422-2-2-2-2222-22-1-22-2-2112-1-2-21122-1-1-1-222-2-2111112-1-1-1-1-221-111-1-111-1-1-2-22211-1-11111-1-1-1-122-2-2-1-111-1-1-1-11111000000i3−i3000000−i3i30000−i3i3i3−i300000000
χ5522-2-2-2-2222-2-12-2211-2-2-1211-2-2-1-122-12-2-221-21111-12-1-1-11-1-2211-1-111-1-1-1-11122-2-2-1-1-1-1111111-1-1-2-2221111-1-1-1-10000−i3i3000000i3−i300−i3i3i3−i3000000000000
χ5622-2-2-2-2222-2-12-2211-2-2-1211-2-2-1-122-12-2-221-21111-12-1-1-11-1-2211-1-111-1-1-1-11122-2-2-1-1-1-1111111-1-1-2-2221111-1-1-1-10000i3−i3000000−i3i300i3−i3−i3i3000000000000
χ5722-2-2-2-2222-2-12-2211-2-2-1211-2-2-1-122-1-222-21-21111-12-1-1-11-1-2211-1-111-1-111-1-1-2-2221111-1-1-1-1-1-11122-2-2-1-1-1-111110000−i3i3000000i3−i300i3−i3−i3i3000000000000
χ5822-2-2-2-2222-2-12-2211-2-2-1211-2-2-1-122-1-222-21-21111-12-1-1-11-1-2211-1-111-1-111-1-1-2-2221111-1-1-1-1-1-11122-2-2-1-1-1-111110000i3−i3000000−i3i300−i3i3i3−i3000000000000
χ5922-2-2-2-222-22222-2-2-2-2-222-2-2-2-222222000022-2-222-2-22-2-22-22-222-2-2-2-2220000000000000000000000000000000000000000000000000000000000002-2-22
χ6022-2-2-2-222-22222-2-2-2-2-222-2-2-2-222222000022-2-222-2-22-2-22-22-222-2-2-2-222000000000000000000000000000000000000000000000000000000000000-222-2
χ614444444444-2-244-2-2-2-2-2-2-2-2-2-2-2-2-2-214444-2-21111-2-2111-2-2-2-211111111-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-21111111100000000000000000000000000000000
χ624444444444-2-244-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-4-2-21111-2-2111-2-2-2-21111111122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-100000000000000000000000000000000
χ6344444444-4-44-2-4-444-2-24-244-2-244-2-2-20000-42-2-222-42-222-4-4222222-2-2-2-20000000000000000000000000000000000000000000000000000000000000000
χ6444444444-4-4-24-4-4-2-244-24-2-244-2-244-200002-4-2-2222-4-22222-4-42222-2-2-2-20000000000000000000000000000000000000000000000000000000000000000
χ6544444444-4-4-2-2-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2100002211-1-1221-1-12222-1-1-1-11111000000003i3i−3i−3i3i3i−3i−3i000000003i3i−3i−3i3i3i−3i−3i00000000000000000000000000000000
χ6644444444-4-4-2-2-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2100002211-1-1221-1-12222-1-1-1-1111100000000−3i−3i3i3i−3i−3i3i3i00000000−3i−3i3i3i−3i−3i3i3i00000000000000000000000000000000
χ674444-4-4-4-4444-2-4-444-2-24-2-4-422-4-422-200004-2-2-2-2-24-2-2-2-2-4-422222222220000000000000000000000000000000000000000000000000000000000000000
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χ1084-4-444i−4i−4i4i00-2-2002-22-222−2i2i−2i2i2i−2i2i−2i1000000-113-300-1-330000−3i3i3i−3ii−i−ii−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ113−3−i3i3−33i3−i3ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11i3−i33−3−i3i3−3300000000000000000000000000000000
χ1094-4-444i−4i−4i4i00-2-2002-22-222−2i2i−2i2i2i−2i2i−2i1000000-113-300-1-330000−3i3i3i−3ii−i−iiζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−33i3−i33−3−i3i3−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−i3i3−33i3−i33−300000000000000000000000000000000
χ1104-4-444i−4i−4i4i00-2-2002-22-222−2i2i−2i2i2i−2i2i−2i1000000-11-3300-13-300003i−3i−3i3ii−i−ii−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11i3−i3−33−i3i33−3ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−33−i3i33−3i3−i300000000000000000000000000000000
χ1114-4-444i−4i−4i4i00-2-2002-22-222−2i2i−2i2i2i−2i2i−2i1000000-11-3300-13-300003i−3i−3i3ii−i−iiζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−i3i33−3i3−i3−33−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ113−3i3−i3−33−i3i300000000000000000000000000000000
χ1124-4-44−4i4i4i−4i004400-44-44-4-4−4i4i−4i4i4i−4i4i−4i4000000-440000-40000000000−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000
χ1134-4-44−4i4i4i−4i004-200-442-2-42−4i4i2i−2i4i−4i−2i2i-20000002-20000200000000002i−2i−2i2i0000−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ110000ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ1100000000000000000000000000000000
χ1144-4-44−4i4i4i−4i004-200-442-2-42−4i4i2i−2i4i−4i−2i2i-20000002-20000200000000002i−2i−2i2i0000ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ110000−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ1100000000000000000000000000000000
χ1154-4-44−4i4i4i−4i00-24002-2-442-42i−2i−4i4i−2i2i4i−4i-20000002-20000200000000002i−2i−2i2i−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ110000−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ110000−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ1100000000000000000000000000000000
χ1164-4-44−4i4i4i−4i00-24002-2-442-42i−2i−4i4i−2i2i4i−4i-20000002-20000200000000002i−2i−2i2iζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ110000ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ110000ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ1100000000000000000000000000000000
χ1174-4-44−4i4i4i−4i00-2-2002-22-2222i−2i2i−2i−2i2i−2i2i1000000-113-300-1-3300003i−3i−3i3i−iii−i−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−33−i3i33−3i3−i3ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11i3−i3−33−i3i33−300000000000000000000000000000000
χ1184-4-44−4i4i4i−4i00-2-2002-22-2222i−2i2i−2i−2i2i−2i2i1000000-113-300-1-3300003i−3i−3i3i−iii−iζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ113−3i3−i3−33−i3i3−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−i3i33−3i3−i3−3300000000000000000000000000000000
χ1194-4-44−4i4i4i−4i00-2-2002-22-2222i−2i2i−2i−2i2i−2i2i1000000-11-3300-13-30000−3i3i3i−3i−iii−i−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11i3−i33−3−i3i3−33ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ113−3−i3i3−33i3−i300000000000000000000000000000000
χ1204-4-44−4i4i4i−4i00-2-2002-22-2222i−2i2i−2i−2i2i−2i2i1000000-11-3300-13-30000−3i3i3i−3i−iii−iζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−i3i3−33i3−i33−3−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−33i3−i33−3−i3i300000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.