Finite Group Databasebeta

← Group #13155734

Character table — Group #13155734

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222222222333344444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212181818182424242424242424242424243636363636363636363636363636363654545454
order12442333466612121212121288883336666666612121212121212121212128824242424242424243666661212121212122466881212242424242424242424242424242424244444666121212242424242424246688121212121212242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111
χ7111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111111111
χ8111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ911-1-1-11111111-1-1-1-1-1-1ii−i−i111-1-1-1-1111-111111-1-1-1-1-1-1i−iii−i−iii−i−i1-1-1-1-111111-1-11-111i−i-1-1i−iii−i−ii−iiiii−i−i−i−iii−i−i111-1-1-1i−iii−i−i1-111i−i-1-1ii−i−iii−i−i11-1-1
χ1011-1-1-11111111-1-1-1-1-1-1ii−i−i111-1-1-1-1111-111111-1-1-1-1-1-1i−iii−i−iii−i−i1-1-1-1-111111-1-11-111−ii-1-1i−i−i−iiii−iiiii−i−i−i−i−i−iii111-1-1-1−ii−i−iii-11-1-1i−i11−i−iiiii−i−i-1-111
χ1111-1-1-11111111-1-1-1-1-1-1ii−i−i111-1-1-1-1111-111111-1-1-1-1-1-1i−iii−i−iii−i−i1-1-1-1-111111-1-1-11-1-1i−i11i−iii−i−ii−iiiii−i−i−i−i−i−iii-1-1-1111i−iii−i−i1-111−ii-1-1−i−iii−i−iii-1-111
χ1211-1-1-11111111-1-1-1-1-1-1ii−i−i111-1-1-1-1111-111111-1-1-1-1-1-1i−iii−i−iii−i−i1-1-1-1-111111-1-1-11-1-1−ii11i−i−i−iiii−iiiii−i−i−i−iii−i−i-1-1-1111−ii−i−iii-11-1-1−ii11ii−i−i−i−iii11-1-1
χ1311-1-1-11111111-1-1-1-1-1-1−i−iii111-1-1-1-1111-111111-1-1-1-1-1-1−ii−i−iii−i−iii1-1-1-1-111111-1-11-111i−i-1-1−iiii−i−i−ii−i−i−i−iiiiiii−i−i111-1-1-1i−iii−i−i-11-1-1−ii11ii−i−i−i−iii-1-111
χ1411-1-1-11111111-1-1-1-1-1-1−i−iii111-1-1-1-1111-111111-1-1-1-1-1-1−ii−i−iii−i−iii1-1-1-1-111111-1-11-111−ii-1-1−ii−i−iii−ii−i−i−i−iiiii−i−iii111-1-1-1−ii−i−iii1-111−ii-1-1−i−iii−i−iii11-1-1
χ1511-1-1-11111111-1-1-1-1-1-1−i−iii111-1-1-1-1111-111111-1-1-1-1-1-1−ii−i−iii−i−iii1-1-1-1-111111-1-1-11-1-1i−i11−iiii−i−i−ii−i−i−i−iiiii−i−iii-1-1-1111i−iii−i−i-11-1-1i−i11−i−iiiii−i−i11-1-1
χ1611-1-1-11111111-1-1-1-1-1-1−i−iii111-1-1-1-1111-111111-1-1-1-1-1-1−ii−i−iii−i−iii1-1-1-1-111111-1-1-11-1-1−ii11−ii−i−iii−ii−i−i−i−iiiiiii−i−i-1-1-1111−ii−i−iii1-111i−i-1-1ii−i−iii−i−i-1-111
χ172222222-1222-122-1-1222222-1-122-1-1-1-1-12222-1-1-122-1-1-1-122-1-1-1-12222-1-12-1-1-1-12-1-1-1-100002200-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000022-1-1-1-122-1-100-1-1000000000000
χ182222222-1222-122-1-1222222-1-122-1-1-1-1-12222-1-1-122-1-1-1-122-1-1-1-12222-1-12-1-1-1-12-1-1-1-10000-2-200-1-1111122-1-1-1-1-1-1-1-10000000000-2-21111-2-2110011000000000000
χ192222222-1222-122-1-122-2-2-2-2-1-122-1-1-1-1-12222-1-1-122-1-1-1-1-2-21111-2-2-2-2-1-12-1-1-1-12-1-1-1-10000220011-1-1-1-1-2-211111111000000000022-1-1-1-1-2-2110011000000000000
χ202222222-1222-122-1-122-2-2-2-2-1-122-1-1-1-1-12222-1-1-122-1-1-1-1-2-21111-2-2-2-2-1-12-1-1-1-12-1-1-1-10000-2-200111111-2-2111111110000000000-2-2111122-1-100-1-1000000000000
χ21222222-1222-122222-1-122222-1-1-12-1-12-1-122-12-1-1-1-122-1-1222222-1-1-1-1-12-1-1-1-12-1-1-1-1-122-1-100-1-1220000-1-1-1-1-1-1-1-1-1-100002-1-12-1-1000000000022000000-1-1-1-10000
χ22222222-1222-122222-1-122222-1-1-12-1-12-1-122-12-1-1-1-122-1-1222222-1-1-1-1-12-1-1-1-12-1-1-1-1-1-2-2110011220000-1-1-1-1-1-1-1-1-1-10000-211-2110000000000-2-200000011110000
χ23222222-1222-122222-1-1-2-2-2-22-1-1-12-1-12-1-122-12-1-1-1-122-1-1-2-2-2-2-2-21111-12-1-1-1-12-1-1-1-1-122-1-100-1-1-2-20000111111111100002-1-12-1-10000000000-2-200000011110000
χ24222222-1222-122222-1-1-2-2-2-22-1-1-12-1-12-1-122-12-1-1-1-122-1-1-2-2-2-2-2-21111-12-1-1-1-12-1-1-1-1-1-2-2110011-2-2000011111111110000-211-211000000000022000000-1-1-1-10000
χ2522222-1222-122-1-122220000-12-12222-12-1-1-12222-1-1-1-1220000000000-1-1-1-1-1-1-1-1-1-1-1-12222222200222200000000002222-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-100000000
χ2622222-1222-122-1-122220000-12-12222-12-1-1-12222-1-1-1-1220000000000-1-1-1-1-1-1-1-1-1-1-1-12222-2-22200-2-2-2-20000000000-2-2-2-2-1-1-1-1-1-111111100000000111100000000
χ2722222-1222-122-1-122220000-12-12222-12-1-1-12222-1-1-1-1220000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-20022220000000000-2-2-2-2111111-1-1-1-1-1-100000000111100000000
χ2822222-1222-122-1-122220000-12-12222-12-1-1-12222-1-1-1-1220000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200-2-2-2-20000000000222211111111111100000000-1-1-1-100000000
χ292222-2222-22222222222222222-2-2-2-2222-2-2-2-2-2-2222222-2-2222222222-2-2-2-22-2-2-2-22200000000-2-20000-2-222-2-222-2-2000000000000000000000000000000000000
χ302222-2222-2222222222-2-2-2-2222-2-2-2-2222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22-2-2-2-22-2-2-2-2220000000022000022-2-222-2-222000000000000000000000000000000000000
χ312222-222-1-222-122-1-1222222-1-12-2111-1-12-2-2-211122-1-1-1-1-2-2-1-1-1-12222-11-211-11-211-1-10000000011−i3i3−i3i3-2-2-1-111-1-111000000000000−i3i3−i3i300−i3i300−i3i3000000000000
χ322222-222-1-222-122-1-1222222-1-12-2111-1-12-2-2-211122-1-1-1-1-2-2-1-1-1-12222-11-211-11-211-1-10000000011i3−i3i3−i3-2-2-1-111-1-111000000000000i3−i3i3−i300i3−i300i3−i3000000000000
χ332222-222-1-222-122-1-122-2-2-2-2-1-12-2111-1-12-2-2-211122-1-1-1-1221111-2-2-2-2-11-211-11-211-1-100000000-1-1−i3i3−i3i32211-1-111-1-1000000000000−i3i3−i3i300i3−i300i3−i3000000000000
χ342222-222-1-222-122-1-122-2-2-2-2-1-12-2111-1-12-2-2-211122-1-1-1-1221111-2-2-2-2-11-211-11-211-1-100000000-1-1i3−i3i3−i32211-1-111-1-1000000000000i3−i3i3−i300−i3i300−i3i3000000000000
χ352222-22-12-22-122222-1-122222-1-11-2112-1-1-2-21-211-1-122-1-1-2-22222-1-1-1-1-1-2111-1-2111-1-100−i3i300−i3i3-2-2000011-1-111-1-11100000−i3i30−i3i3000000000000000000−i3i3−i3i30000
χ362222-22-12-22-122222-1-122222-1-11-2112-1-1-2-21-211-1-122-1-1-2-22222-1-1-1-1-1-2111-1-2111-1-100i3−i300i3−i3-2-2000011-1-111-1-11100000i3−i30i3−i3000000000000000000i3−i3i3−i30000
χ372222-22-12-22-122222-1-1-2-2-2-22-1-11-2112-1-1-2-21-211-1-122-1-122-2-2-2-21111-1-2111-1-2111-1-100−i3i300−i3i3220000-1-111-1-111-1-100000−i3i30−i3i3000000000000000000i3−i3i3−i30000
χ382222-22-12-22-122222-1-1-2-2-2-22-1-11-2112-1-1-2-21-211-1-122-1-122-2-2-2-21111-1-2111-1-2111-1-100i3−i300i3−i3220000-1-111-1-111-1-100000i3−i30i3−i3000000000000000000−i3i3−i3i30000
χ3922-2-22222-2222-2-2-2-2-2-22i2i−2i−2i22222222222-2-2-2-2-2-2-2-2-2-2-2−2i2i2i2i−2i−2i2i2i−2i−2i222222-2-2-2-2-2-200000000−2i2i0000−2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000
χ4022-2-22222-2222-2-2-2-2-2-2−2i−2i2i2i22222222222-2-2-2-2-2-2-2-2-2-2-22i−2i−2i−2i2i2i−2i−2i2i2i222222-2-2-2-2-2-2000000002i−2i00002i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000
χ4122-2-2222-1-222-1-2-211-2-22i2i−2i−2i-1-122-1-1-1-1-122-2-2111-2-21111−2i2i−i−iii2i2i−2i−2i-1-12-1-1-11-2111100000000i−i3−3−33−2i2i−i−iiiii−i−i0000000000003−3−3300−i3i300i3−i3000000000000
χ4222-2-2222-1-222-1-2-211-2-22i2i−2i−2i-1-122-1-1-1-1-122-2-2111-2-21111−2i2i−i−iii2i2i−2i−2i-1-12-1-1-11-2111100000000i−i−333−3−2i2i−i−iiiii−i−i000000000000−333−300i3−i300−i3i3000000000000
χ4322-2-2222-1-222-1-2-211-2-2−2i−2i2i2i-1-122-1-1-1-1-122-2-2111-2-211112i−2iii−i−i−2i−2i2i2i-1-12-1-1-11-2111100000000−ii3−3−332i−2iii−i−i−i−iii0000000000003−3−3300i3−i300−i3i3000000000000
χ4422-2-2222-1-222-1-2-211-2-2−2i−2i2i2i-1-122-1-1-1-1-122-2-2111-2-211112i−2iii−i−i−2i−2i2i2i-1-12-1-1-11-2111100000000−ii−333−32i−2iii−i−i−i−iii000000000000−333−300−i3i300i3−i3000000000000
χ4522-2-222-12-22-12-2-2-2-2112i2i−2i−2i2-1-1-12-1-12-1-12-21-21111-2-211−2i2i2i2i−2i−2i−i−iii-12-1-1-1-1-21111100−i3i300i3−i3−2i2i0000i−i−i−iiiii−i−i00000−i3i30i3−i30000000000000000003−3−330000
χ4622-2-222-12-22-12-2-2-2-2112i2i−2i−2i2-1-1-12-1-12-1-12-21-21111-2-211−2i2i2i2i−2i−2i−i−iii-12-1-1-1-1-21111100i3−i300−i3i3−2i2i0000i−i−i−iiiii−i−i00000i3−i30−i3i3000000000000000000−333−30000
χ4722-2-222-12-22-12-2-2-2-211−2i−2i2i2i2-1-1-12-1-12-1-12-21-21111-2-2112i−2i−2i−2i2i2iii−i−i-12-1-1-1-1-21111100−i3i300i3−i32i−2i0000−iiii−i−i−i−iii00000−i3i30i3−i3000000000000000000−333−30000
χ4822-2-222-12-22-12-2-2-2-211−2i−2i2i2i2-1-1-12-1-12-1-12-21-21111-2-2112i−2i−2i−2i2i2iii−i−i-12-1-1-1-1-21111100i3−i300−i3i32i−2i0000−iiii−i−i−i−iii00000i3−i30−i3i30000000000000000003−3−330000
χ4922-2-2-222-1222-1-2-211-2-22i2i−2i−2i-1-12-2111-1-12-222-1-1-1-2-211112i−2i−i−iii2i2i−2i−2i-11-211-1-12-1-11100002i−2i00−ii−i−iii2i−2i−i−i−i−iiiii00000000002i−2i−i−iii2-2-1-10011000000000000
χ5022-2-2-222-1222-1-2-211-2-22i2i−2i−2i-1-12-2111-1-12-222-1-1-1-2-211112i−2i−i−iii2i2i−2i−2i-11-211-1-12-1-1110000−2i2i00−iiii−i−i2i−2i−i−i−i−iiiii0000000000−2i2iii−i−i-221100-1-1000000000000
χ5122-2-2-222-1222-1-2-211-2-2−2i−2i2i2i-1-12-2111-1-12-222-1-1-1-2-21111−2i2iii−i−i−2i−2i2i2i-11-211-1-12-1-11100002i−2i00i−i−i−iii−2i2iiiii−i−i−i−i00000000002i−2i−i−iii-221100-1-1000000000000
χ5222-2-2-222-1222-1-2-211-2-2−2i−2i2i2i-1-12-2111-1-12-222-1-1-1-2-21111−2i2iii−i−i−2i−2i2i2i-11-211-1-12-1-1110000−2i2i00i−iii−i−i−2i2iiiii−i−i−i−i0000000000−2i2iii−i−i2-2-1-10011000000000000
χ5322-2-2-22-1222-12-2-2-2-2112i2i−2i−2i2-1-11-2112-1-1-22-12-1-111-2-2112i−2i2i2i−2i−2i−i−iii-1-2111-12-1-1-1112-2-1-100112i−2i0000−ii−i−i−i−iiiii00002-1-1-21100000000002i−2i000000−i−iii0000
χ5422-2-2-22-1222-12-2-2-2-2112i2i−2i−2i2-1-11-2112-1-1-22-12-1-111-2-2112i−2i2i2i−2i−2i−i−iii-1-2111-12-1-1-111-221100-1-12i−2i0000−ii−i−i−i−iiiii0000-2112-1-10000000000−2i2i000000ii−i−i0000
χ5522-2-2-22-1222-12-2-2-2-211−2i−2i2i2i2-1-11-2112-1-1-22-12-1-111-2-211−2i2i−2i−2i2i2iii−i−i-1-2111-12-1-1-1112-2-1-10011−2i2i0000i−iiiii−i−i−i−i00002-1-1-2110000000000−2i2i000000ii−i−i0000
χ5622-2-2-22-1222-12-2-2-2-211−2i−2i2i2i2-1-11-2112-1-1-22-12-1-111-2-211−2i2i−2i−2i2i2iii−i−i-1-2111-12-1-1-111-221100-1-1−2i2i0000i−iiiii−i−i−i−i0000-2112-1-100000000002i−2i000000−i−iii0000
χ5722-2-2-2-1222-12211-2-2-2-20000-12-1-2-2-2-2-12-11-122221111-2-20000000000-11111-1-1-1-1-1112-2222i−2i-2-2002i2i−2i−2i00000000002i2i−2i−2i-1-1-1111−ii−i−iii00000000−i−iii00000000
χ5822-2-2-2-1222-12211-2-2-2-20000-12-1-2-2-2-2-12-11-122221111-2-20000000000-11111-1-1-1-1-1112-222−2i2i-2-200−2i−2i2i2i0000000000−2i−2i2i2i-1-1-1111i−iii−i−i00000000ii−i−i00000000
χ5922-2-2-2-1222-12211-2-2-2-20000-12-1-2-2-2-2-12-11-122221111-2-20000000000-11111-1-1-1-1-111-22-2-22i−2i22002i2i−2i−2i0000000000−2i−2i2i2i111-1-1-1−ii−i−iii00000000ii−i−i00000000
χ6022-2-2-2-1222-12211-2-2-2-20000-12-1-2-2-2-2-12-11-122221111-2-20000000000-11111-1-1-1-1-111-22-2-2−2i2i2200−2i−2i2i2i00000000002i2i−2i−2i111-1-1-1i−iii−i−i00000000−i−iii00000000
χ612-22i−2i02220-2-2-22i−2i2i−2i2i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132220000-2-2-20000002i−2i2i−2i2i−2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1320000-200002i−2i00000000000000002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13001+i−1−i1−i−1+i000000000000000000001+i−1−i1−i−1+i00002−2−i2i2
χ622-22i−2i02220-2-2-22i−2i2i−2i2i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132220000-2-2-20000002i−2i2i−2i2i−2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1320000-200002i−2i00000000000000002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1300−1−i1+i−1+i1−i00000000000000000000−1−i1+i−1+i1−i0000−22i2−i2
χ632-22i−2i02220-2-2-22i−2i2i−2i2i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132220000-2-2-20000002i−2i2i−2i2i−2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1320000-200002i−2i0000000000000000−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13001+i−1−i1−i−1+i000000000000000000001+i−1−i1−i−1+i0000−22i2−i2
χ642-22i−2i02220-2-2-22i−2i2i−2i2i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132220000-2-2-20000002i−2i2i−2i2i−2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1320000-200002i−2i0000000000000000−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300−1−i1+i−1+i1−i00000000000000000000−1−i1+i−1+i1−i00002−2−i2i2
χ652-2−2i2i02220-2-2-2−2i2i−2i2i−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232220000-2-2-2000000−2i2i−2i2i−2i2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2320000-20000−2i2i0000000000000000−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23001−i−1+i1+i−1−i000000000000000000001−i−1+i1+i−1−i00002−2i2−i2
χ662-2−2i2i02220-2-2-2−2i2i−2i2i−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232220000-2-2-2000000−2i2i−2i2i−2i2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2320000-20000−2i2i0000000000000000−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300−1+i1−i−1−i1+i00000000000000000000−1+i1−i−1−i1+i0000−22−i2i2
χ672-2−2i2i02220-2-2-2−2i2i−2i2i−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232220000-2-2-2000000−2i2i−2i2i−2i2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2320000-20000−2i2i00000000000000002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23001−i−1+i1+i−1−i000000000000000000001−i−1+i1+i−1−i0000−22−i2i2
χ682-2−2i2i02220-2-2-2−2i2i−2i2i−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232220000-2-2-2000000−2i2i−2i2i−2i2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2320000-20000−2i2i00000000000000002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ2300−1+i1−i−1−i1+i00000000000000000000−1+i1−i−1−i1+i00002−2i2−i2
χ69444444-2-244-2-244-2-2-2-24444-21-2-2-211-21-244-2-211-2-2-2-21144-2-2-2-2-2-2-2-21-2-2111-2-2111100000000-2-20000-2-211111111000000000000000000000000000000000000
χ70444444-2-244-2-244-2-2-2-2-4-4-4-4-21-2-2-211-21-244-2-211-2-2-2-211-4-4222222221-2-2111-2-211110000000022000022-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ7144444-24-24-24-2-2-2-2-24400001-2-24-2-2-21-2-2-2-24-2-2-2-2-211-2-2000000000011-21111-211110000440000-2-2-2-200000000000000000000-2-2111100000000000000000000
χ7244444-24-24-24-2-2-2-2-24400001-2-24-2-2-21-2-2-2-24-2-2-2-2-211-2-2000000000011-21111-211110000-4-4000022220000000000000000000022-1-1-1-100000000000000000000
χ7344444-2-244-2-24-2-244-2-20000-2-21-24-2-2-2-21-2-2-24-2-211-2-2-2-200000000001-21111-21111144-2-200-2-200000000000000000000-211-21100000000000000000000000000
χ7444444-2-244-2-24-2-244-2-20000-2-21-24-2-2-2-21-2-2-24-2-211-2-2-2-200000000001-21111-211111-4-4220022000000000000000000002-1-12-1-100000000000000000000000000
χ754444-44-2-2-44-2-244-2-2-2-24444-21-222-1-1-21-2-4-422-1-1-2-2-2-211-4-4-2-2-2-2-2-2-2-2122-1-1122-1-111000000002200002211-1-111-1-1000000000000000000000000000000000000
χ764444-44-2-2-44-2-244-2-2-2-2-4-4-4-4-21-222-1-1-21-2-4-422-1-1-2-2-2-2114422222222122-1-1122-1-11100000000-2-20000-2-2-1-111-1-111000000000000000000000000000000000000
χ774444-4-244-4-244-2-244440000-24-2-4-4-4-4-24-222-4-4-4-4-2-2-2-2440000000000-22222-22222-2-2000000000000000000000000000000000000000000000000000000000000
χ784444-4-24-2-4-24-2-2-2-2-24400001-2-2-42221-2-222-4222-2-211-2-200000000001-12-1-11-12-1-1110000000000−2i32i3−2i32i30000000000000000000000i3−i3i3−i300000000000000000000
χ794444-4-24-2-4-24-2-2-2-2-24400001-2-2-42221-2-222-4222-2-211-2-200000000001-12-1-11-12-1-11100000000002i3−2i32i3−2i30000000000000000000000−i3i3−i3i300000000000000000000
χ804444-4-2-24-4-2-24-2-244-2-20000-2-212-422-2-21222-42211-2-2-2-2000000000012-1-1-112-1-1-11100−2i32i300−2i32i3000000000000000000000i3−i30i3−i300000000000000000000000000
χ814444-4-2-24-4-2-24-2-244-2-20000-2-212-422-2-21222-42211-2-2-2-2000000000012-1-1-112-1-1-111002i3−2i3002i3−2i3000000000000000000000−i3i30−i3i300000000000000000000000000
χ8244-4-444-2-2-44-2-2-4-422224i4i−4i−4i-21-2-2-211-21-24-422-1-12222-1-1−4i4i−2i−2i2i2i−2i−2i2i2i1-2-211122-1-1-1-1000000002i−2i00002i−2iii−i−i−i−iii000000000000000000000000000000000000
χ8344-4-444-2-2-44-2-2-4-42222−4i−4i4i4i-21-2-2-211-21-24-422-1-12222-1-14i−4i2i2i−2i−2i2i2i−2i−2i1-2-211122-1-1-1-100000000−2i2i0000−2i2i−i−iiiii−i−i000000000000000000000000000000000000
χ8444-4-44-244-4-24422-4-4-4-40000-24-24444-24-2-22-4-4-4-42222-4-40000000000-2-2-2-2-2-2222222000000000000000000000000000000000000000000000000000000000000
χ8544-4-44-24-2-4-24-22222-4-400001-2-24-2-2-21-2-2-22-422222-1-122000000000011-2111-12-1-1-1-1000000000023−23−23230000000000000000000000−333−300000000000000000000
χ8644-4-44-24-2-4-24-22222-4-400001-2-24-2-2-21-2-2-22-422222-1-122000000000011-2111-12-1-1-1-10000000000−232323−2300000000000000000000003−3−3300000000000000000000
χ8744-4-44-2-24-4-2-2422-4-4220000-2-21-24-2-2-2-21-222-422-1-1222200000000001-211112-1-1-1-1-100−2i32i3002i3−2i3000000000000000000000i3−i30−i3i300000000000000000000000000
χ8844-4-44-2-24-4-2-2422-4-4220000-2-21-24-2-2-2-21-222-422-1-1222200000000001-211112-1-1-1-1-1002i3−2i300−2i32i3000000000000000000000−i3i30i3−i300000000000000000000000000
χ8944-4-4-44-2-244-2-2-4-422224i4i−4i−4i-21-222-1-1-21-2-44-2-2112222-1-14i−4i−2i−2i2i2i−2i−2i2i2i122-1-11-2-211-1-100000000−2i2i0000−2i2iiiii−i−i−i−i000000000000000000000000000000000000
χ9044-4-4-44-2-244-2-2-4-42222−4i−4i4i4i-21-222-1-1-21-2-44-2-2112222-1-1−4i4i2i2i−2i−2i2i2i−2i−2i122-1-11-2-211-1-1000000002i−2i00002i−2i−i−i−i−iiiii000000000000000000000000000000000000
χ9144-4-4-4-24-24-24-22222-4-400001-2-2-42221-2-22-24-2-2-222-1-12200000000001-12-1-111-211-1-100004i−4i0000−2i−2i2i2i00000000000000000000−2i2iii−i−i00000000000000000000
χ9244-4-4-4-24-24-24-22222-4-400001-2-2-42221-2-22-24-2-2-222-1-12200000000001-12-1-111-211-1-10000−4i4i00002i2i−2i−2i000000000000000000002i−2i−i−iii00000000000000000000
χ9344-4-4-4-2-244-2-2422-4-4220000-2-212-422-2-212-2-24-2-2-1-12222000000000012-1-1-11-2111-1-14-4-2-2002200000000000000000000-2112-1-100000000000000000000000000
χ9444-4-4-4-2-244-2-2422-4-4220000-2-212-422-2-212-2-24-2-2-1-12222000000000012-1-1-11-2111-1-1-442200-2-2000000000000000000002-1-1-21100000000000000000000000000
χ954-44i−4i044-20-4-424i−4i−2i2i4i−4i4ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ13-2-24000022-40000004i−4i−2i2i−2i2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ134ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ13-2000020000−2i2i0000000000000000−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300000000000000000000000000000000000000
χ964-44i−4i044-20-4-424i−4i−2i2i4i−4i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ13-2-24000022-40000004i−4i−2i2i−2i2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ13-2000020000−2i2i00000000000000002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1300000000000000000000000000000000000000
χ974-44i−4i04-240-42-44i−4i4i−4i−2i2i4ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ134-2-20000-422000000−2i2i4i−4i−2i2i004ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13-2000020000−2i2i0000000000000000−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300000000000000000000000000000000000000
χ984-44i−4i04-240-42-44i−4i4i−4i−2i2i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ134-2-20000-422000000−2i2i4i−4i−2i2i00−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13-2000020000−2i2i00000000000000002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1300000000000000000000000000000000000000
χ994-44i−4i04-2-20-4224i−4i−2i2i−2i2i4ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ13-21-2003-32-1200003i−3i−2i2i−2i2ii−i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ131003-3-1003i−3ii−i0000000000000000ζ7+ζ23−ζ7−ζ23−3ζ5−3ζ133ζ5+3ζ13−ζ5−ζ13ζ5+ζ133ζ7+3ζ23−3ζ7−3ζ23000000000000000000000000000000000000
χ1004-44i−4i04-2-20-4224i−4i−2i2i−2i2i4ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ13-21-200-332-120000−3i3i−2i2i−2i2ii−i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13100-33-100−3i3ii−i0000000000000000ζ7+ζ23−ζ7−ζ233ζ5+3ζ13−3ζ5−3ζ13−ζ5−ζ13ζ5+ζ13−3ζ7−3ζ233ζ7+3ζ23000000000000000000000000000000000000
χ1014-44i−4i04-2-20-4224i−4i−2i2i−2i2i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ13-21-2003-32-1200003i−3i−2i2i−2i2ii−i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ131003-3-1003i−3ii−i0000000000000000−ζ7−ζ23ζ7+ζ233ζ5+3ζ13−3ζ5−3ζ13ζ5+ζ13−ζ5−ζ13−3ζ7−3ζ233ζ7+3ζ23000000000000000000000000000000000000
χ1024-44i−4i04-2-20-4224i−4i−2i2i−2i2i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ13-21-200-332-120000−3i3i−2i2i−2i2ii−i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13100-33-100−3i3ii−i0000000000000000−ζ7−ζ23ζ7+ζ23−3ζ5−3ζ133ζ5+3ζ13ζ5+ζ13−ζ5−ζ133ζ7+3ζ23−3ζ7−3ζ23000000000000000000000000000000000000
χ1034-44i−4i0-24402-4-4−2i2i4i−4i4i−4i0000-24-200002-42000000−2i2i−2i2i4i−4i0000000000-2000020000−2i2i0000000000000000000000002+2i−2−2i2−2i−2+2i00000000000000000000−1−i1+i−1+i1−i00000000
χ1044-44i−4i0-24402-4-4−2i2i4i−4i4i−4i0000-24-200002-42000000−2i2i−2i2i4i−4i0000000000-2000020000−2i2i000000000000000000000000−2−2i2+2i−2+2i2−2i000000000000000000001+i−1−i1−i−1+i00000000
χ1054-4−4i4i044-20-4-42−4i4i2i−2i−4i4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ23-2-24000022-4000000−4i4i2i−2i2i−2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ23-20000200002i−2i00000000000000002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ2300000000000000000000000000000000000000
χ1064-4−4i4i044-20-4-42−4i4i2i−2i−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ23-2-24000022-4000000−4i4i2i−2i2i−2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ234ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ23-20000200002i−2i0000000000000000−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000000000000000
χ1074-4−4i4i04-240-42-4−4i4i−4i4i2i−2i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ234-2-20000-4220000002i−2i−4i4i2i−2i00−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23-20000200002i−2i00000000000000002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ2300000000000000000000000000000000000000
χ1084-4−4i4i04-240-42-4−4i4i−4i4i2i−2i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ234-2-20000-4220000002i−2i−4i4i2i−2i004ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23-20000200002i−2i0000000000000000−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000000000000000
χ1094-4−4i4i04-2-20-422−4i4i2i−2i2i−2i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ23-21-2003-32-120000−3i3i2i−2i2i−2i−ii002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ231003-3-100−3i3i−ii0000000000000000−ζ5−ζ13ζ5+ζ133ζ7+3ζ23−3ζ7−3ζ23ζ7+ζ23−ζ7−ζ23−3ζ5−3ζ133ζ5+3ζ13000000000000000000000000000000000000
χ1104-4−4i4i04-2-20-422−4i4i2i−2i2i−2i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ23-21-200-332-1200003i−3i2i−2i2i−2i−ii002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23100-33-1003i−3i−ii0000000000000000−ζ5−ζ13ζ5+ζ13−3ζ7−3ζ233ζ7+3ζ23ζ7+ζ23−ζ7−ζ233ζ5+3ζ13−3ζ5−3ζ13000000000000000000000000000000000000
χ1114-4−4i4i04-2-20-422−4i4i2i−2i2i−2i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ23-21-2003-32-120000−3i3i2i−2i2i−2i−ii00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ231003-3-100−3i3i−ii0000000000000000ζ5+ζ13−ζ5−ζ13−3ζ7−3ζ233ζ7+3ζ23−ζ7−ζ23ζ7+ζ233ζ5+3ζ13−3ζ5−3ζ13000000000000000000000000000000000000
χ1124-4−4i4i04-2-20-422−4i4i2i−2i2i−2i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ23-21-200-332-1200003i−3i2i−2i2i−2i−ii00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23100-33-1003i−3i−ii0000000000000000ζ5+ζ13−ζ5−ζ133ζ7+3ζ23−3ζ7−3ζ23−ζ7−ζ23ζ7+ζ23−3ζ5−3ζ133ζ5+3ζ13000000000000000000000000000000000000
χ1134-4−4i4i0-24402-4-42i−2i−4i4i−4i4i0000-24-200002-420000002i−2i2i−2i−4i4i0000000000-20000200002i−2i0000000000000000000000002−2i−2+2i2+2i−2−2i00000000000000000000−1+i1−i−1−i1+i00000000
χ1144-4−4i4i0-24402-4-42i−2i−4i4i−4i4i0000-24-200002-420000002i−2i2i−2i−4i4i0000000000-20000200002i−2i000000000000000000000000−2+2i2−2i−2−2i2+2i000000000000000000001−i−1+i1+i−1−i00000000
χ11588888-4-4-48-4-4-4-4-4-4-4-4-40000222-4-422222-4-4-4-4222222220000000000-122-1-1-122-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ1168888-8-4-4-4-8-4-4-4-4-4-4-4-4-4000022244-2-22224444-2-22222220000000000-1-2-211-1-2-211-1-1000000000000000000000000000000000000000000000000000000000000
χ11788-8-88-4-4-4-8-4-4-44444440000222-4-422222-4444-2-2-2-2-2-2-2-20000000000-122-1-1-1-2-21111000000000000000000000000000000000000000000000000000000000000
χ11888-8-8-8-4-4-48-4-4-4444444000022244-2-22224-4-4-422-2-2-2-2-2-20000000000-1-2-211-122-1-111000000000000000000000000000000000000000000000000000000000000
χ1198-88i−8i0-48-404-84−4i4i−4i4i8i−8i00002-4-40000-244000000−4i4i2i−2i−4i4i000000000020000-200002i−2i000000000000000000000000000000000000000000000000000000000000
χ1208-88i−8i0-4-48044-8−4i4i8i−8i−4i4i0000-4-42000044-20000002i−2i−4i4i−4i4i000000000020000-200002i−2i000000000000000000000000000000000000000000000000000000000000
χ1218-88i−8i0-4-4-40444−4i4i−4i4i−4i4i0000222006-6-2-2-200006i−6i2i−2i2i−2i2i−2i0000000000-100-33100−3i3i−ii000000000000000000000000000000000000000000000000000000000000
χ1228-88i−8i0-4-4-40444−4i4i−4i4i−4i4i000022200-66-2-2-20000−6i6i2i−2i2i−2i2i−2i0000000000-1003-31003i−3i−ii000000000000000000000000000000000000000000000000000000000000
χ1238-8−8i8i0-48-404-844i−4i4i−4i−8i8i00002-4-40000-2440000004i−4i−2i2i4i−4i000000000020000-20000−2i2i000000000000000000000000000000000000000000000000000000000000
χ1248-8−8i8i0-4-48044-84i−4i−8i8i4i−4i0000-4-42000044-2000000−2i2i4i−4i4i−4i000000000020000-20000−2i2i000000000000000000000000000000000000000000000000000000000000
χ1258-8−8i8i0-4-4-404444i−4i4i−4i4i−4i0000222006-6-2-2-20000−6i6i−2i2i−2i2i−2i2i0000000000-100-331003i−3ii−i000000000000000000000000000000000000000000000000000000000000
χ1268-8−8i8i0-4-4-404444i−4i4i−4i4i−4i000022200-66-2-2-200006i−6i−2i2i−2i2i−2i2i0000000000-1003-3100−3i3ii−i000000000000000000000000000000000000000000000000000000000000

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