Finite Group Databasebeta

← Group #13155316

Character table — Group #13155316

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111111122222222222222222222222244444444444444444444444466668888888812121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818183636363636363636363636363636363654545454
order1222444433366666666612121212121212121212121233366666666612121212121212121212121222443666121212122466666666666666668812121212121212121212121212121212242424242424242424242424242424248888246688121224242424242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-111-1-111-1-1-1-1111111-1-111-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-111-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ91111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-11111111111111111i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iii−i−i-11-1-1i−i11ii−i−iii−i−iii−i−i
χ101111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-11111111111111111−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−iii-11-1-1−ii11−i−iii−i−iii−i−iii
χ111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1111-1-111-1-11111-1-1-1-1i−i-1-111-1-111-1-1-1-11111ii−i−iii−i−iiiii−i−i−i−i−i−iii1-111i−i-1-1−i−iiiii−i−i−i−iii
χ121111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1111-1-111-1-11111-1-1-1-1−ii-1-111-1-111-1-1-1-11111−i−iii−i−iii−i−i−i−iiiiiii−i−i1-111−ii-1-1ii−i−i−i−iiiii−i−i
χ131111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-111-1-111-1-1-1-11111i−i11-1-111-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iii−i−i1-111−ii-1-1ii−i−i−i−iii−i−iii
χ141111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-111-1-111-1-1-1-11111−ii11-1-111-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−iii1-111i−i-1-1−i−iiiii−i−iii−i−i
χ151111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−i1111111111111111ii−i−iii−i−iiiii−i−i−i−i−i−iii-11-1-1−ii11−i−iii−i−iiiii−i−i
χ161111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii1111111111111111−i−iii−i−iii−i−i−i−iiiiiii−i−i-11-1-1i−i11ii−i−iii−i−i−i−iii
χ172222222222-12222-1-122-122-1-1-1-12222222-1-122-1-1-1-12-1-122-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1002222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000022-1-100-1-1000000000000
χ182222222222-12222-1-122-122-1-1-1-12222222-1-122-1-1-1-12-1-122-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-2-222-2-2-1-111-1-1-1-111110022-2-2-1-111-1-1-1-1111100000000000000000000-2-2110011000000000000
χ192222222222-12222-1-122-122-1-1-1-12222222-1-122-1-1-1-12-1-122-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-122-2-22211-1-11111-1-1-1-100-2-22211-1-11111-1-1-1-100000000000000000000-2-2110011000000000000
χ202222222222-12222-1-122-122-1-1-1-12222222-1-122-1-1-1-12-1-122-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111111100-2-2-2-21111111111110000000000000000000022-1-100-1-1000000000000
χ21222222222-1222-1-1222-12222222-1-1-1-122-12-1-1-122-1-1-12-1-1-12222-1-1-1-1-1-10000-1-1-1-1-1-1-1-12200-1-100220000-1-1-1-12200-1-100220000-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222200000000-1-1-1-100000000
χ22222222222-1222-1-1222-12222222-1-1-1-122-12-1-1-122-1-1-12-1-1-12222-1-1-1-1-1-10000-1-1-1-1-1-1-1-12200-1-100220000-1-1-1-1-2-200-1-100220000-1-1-1-11111-2-2-2-211111111-2-2-2-200000000111100000000
χ23222222222-1222-1-1222-12222222-1-1-1-122-12-1-1-122-1-1-12-1-1-12222-1-1-1-1-1-10000-1-1-1-1-1-1-1-1-2-2001100-2-20000111122001100-2-200001111-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-200000000111100000000
χ24222222222-1222-1-1222-12222222-1-1-1-122-12-1-1-122-1-1-12-1-1-12222-1-1-1-1-1-10000-1-1-1-1-1-1-1-1-2-2001100-2-200001111-2-2001100-2-2000011111111-2-2-2-211111111222200000000-1-1-1-100000000
χ2522222222-122-1-12222-122-1-122222222-1-1-1-12-1-1-1-122-1-12-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-100-1-1002200-1-1-1-1000022-1-1002200-1-1-1-100002222-1-1-1-1-1-1-1-1-1-1-1-10000000022000000-1-1-1-10000
χ2622222222-122-1-12222-122-1-122222222-1-1-1-12-1-1-1-122-1-12-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-100-1-1002200-1-1-1-10000-2-2-1-1002200-1-1-1-10000-2-2-2-211111111111100000000-2-200000011110000
χ2722222222-122-1-12222-122-1-122222222-1-1-1-12-1-1-1-122-1-12-1-1-1-1-1-12222-1-1-2-2-2-2-1-1-1-1-1-1-1-1001100-2-20011110000221100-2-200111100002222-1-1-1-1-1-1-1-1-1-1-1-100000000-2-200000011110000
χ2822222222-122-1-12222-122-1-122222222-1-1-1-12-1-1-1-122-1-12-1-1-1-1-1-12222-1-1-2-2-2-2-1-1-1-1-1-1-1-1001100-2-20011110000-2-21100-2-20011110000-2-2-2-21111111111110000000022000000-1-1-1-10000
χ292222-2-2-2-222-12222-1-122-1-2-21111-2-2-2-2-2-22-1-122-1-1-1-12-1-1-2-211111111-2-222-2-2-1-1-1-111112-22222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-211111111111100000000000000000000-221100-1-1000000000000
χ302222-2-2-2-222-12222-1-122-1-2-21111-2-2-2-2-2-22-1-122-1-1-1-12-1-1-2-211111111-2-222-2-2-1-1-1-11111-2222-2-2-1-111-1-1-1-1111100-2-22211-1-11111-1-1-1-1000000000000000000002-2-1-10011000000000000
χ312222-2-2-2-222-12222-1-122-1-2-21111-2-2-2-2-2-22-1-122-1-1-1-12-1-1-2-211111111-2-2-2-222-1-1-1-111112-2-2-22211-1-11111-1-1-1-10022-2-2-1-111-1-1-1-11111000000000000000000002-2-1-10011000000000000
χ322222-2-2-2-222-12222-1-122-1-2-21111-2-2-2-2-2-22-1-122-1-1-1-12-1-1-2-211111111-2-2-2-222-1-1-1-11111-22-2-2-2-2111111111111002222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-221100-1-1000000000000
χ332222-2-2-2-22-1222-1-1222-12-2-2-2-2-2-21111-2-2-12-1-1-122-1-1-12-111-2-2-2-21111110000-1-1-1-111112-200-1-100220000-1-1-1-12i−2i001100-2-200001111−i−iii2i2i−2i−2i−i−i−i−iiiii2i2i−2i−2i00000000−i−iii00000000
χ342222-2-2-2-22-1222-1-1222-12-2-2-2-2-2-21111-2-2-12-1-1-122-1-1-12-111-2-2-2-21111110000-1-1-1-111112-200-1-100220000-1-1-1-1−2i2i001100-2-200001111ii−i−i−2i−2i2i2iiiii−i−i−i−i−2i−2i2i2i00000000ii−i−i00000000
χ352222-2-2-2-22-1222-1-1222-12-2-2-2-2-2-21111-2-2-12-1-1-122-1-1-12-111-2-2-2-21111110000-1-1-1-11111-22001100-2-2000011112i−2i00-1-100220000-1-1-1-1−i−iii2i2i−2i−2i−i−i−i−iiiii−2i−2i2i2i00000000ii−i−i00000000
χ362222-2-2-2-22-1222-1-1222-12-2-2-2-2-2-21111-2-2-12-1-1-122-1-1-12-111-2-2-2-21111110000-1-1-1-11111-22001100-2-200001111−2i2i00-1-100220000-1-1-1-1ii−i−i−2i−2i2i2iiiii−i−i−i−i2i2i−2i−2i00000000−i−iii00000000
χ372222-2-2-2-2-122-1-12222-12211-2-2-2-2-2-2-2-211-1-12-1-1-1-122-1-12111111-2-2-2-21122-2-2-1-1-1-1111100-1-1002200-1-1-1-100002i−2i1100-2-200111100002i2i−2i−2i−i−iii−i−i−i−iiiii000000002i−2i000000−i−iii0000
χ382222-2-2-2-2-122-1-12222-12211-2-2-2-2-2-2-2-211-1-12-1-1-1-122-1-12111111-2-2-2-21122-2-2-1-1-1-1111100-1-1002200-1-1-1-10000−2i2i1100-2-20011110000−2i−2i2i2iii−i−iiiii−i−i−i−i00000000−2i2i000000ii−i−i0000
χ392222-2-2-2-2-122-1-12222-12211-2-2-2-2-2-2-2-211-1-12-1-1-1-122-1-12111111-2-2-2-211-2-222-1-1-1-11111001100-2-200111100002i−2i-1-1002200-1-1-1-100002i2i−2i−2i−i−iii−i−i−i−iiiii00000000−2i2i000000ii−i−i0000
χ402222-2-2-2-2-122-1-12222-12211-2-2-2-2-2-2-2-211-1-12-1-1-1-122-1-12111111-2-2-2-211-2-222-1-1-1-11111001100-2-20011110000−2i2i-1-1002200-1-1-1-10000−2i−2i2i2iii−i−iiiii−i−i−i−i000000002i−2i000000−i−iii0000
χ4122-2-22i−2i2i−2i2222-22-22-2-2-2-22i−2i2i2i−2i−2i2i−2i2i−2i2i−2i2222-22-22-2-2-2-22i−2i2i2i−2i−2i2i2i−2i−2i2i−2i000022-2-22i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23
χ4222-2-22i−2i2i−2i2222-22-22-2-2-2-22i−2i2i2i−2i−2i2i−2i2i−2i2i−2i2222-22-22-2-2-2-22i−2i2i2i−2i−2i2i2i−2i−2i2i−2i000022-2-22i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23
χ4322-2-2−2i2i−2i2i2222-22-22-2-2-2-2−2i2i−2i−2i2i2i−2i2i−2i2i−2i2i2222-22-22-2-2-2-2−2i2i−2i−2i2i2i−2i−2i2i2i−2i2i000022-2-2−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13
χ4422-2-2−2i2i−2i2i2222-22-22-2-2-2-2−2i2i−2i−2i2i2i−2i2i−2i2i−2i2i2222-22-22-2-2-2-2−2i2i−2i−2i2i2i−2i−2i2i2i−2i2i000022-2-2−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13
χ452-22-22i−2i−2i2i222-22-22-22-2-2-2−2i2i2i−2i2i−2i2i−2i−2i2i2i−2i222-22-22-22-2-2-2−2i2i2i−2i2i−2i2i−2i2i−2i2i−2i00002-22-22i−2i2i−2i00000000000000000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000
χ462-22-22i−2i−2i2i222-22-22-22-2-2-2−2i2i2i−2i2i−2i2i−2i−2i2i2i−2i222-22-22-22-2-2-2−2i2i2i−2i2i−2i2i−2i2i−2i2i−2i00002-22-22i−2i2i−2i0000000000000000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000
χ472-22-22i−2i−2i2i2-12-221-1-22-21-2−2i2i2i−2i2i−2i−iii−i2i−2i-12-11-1-221-11-21i−i2i−2i2i−2i−ii−ii−ii0000-11-11−ii−ii0000−i3i300000000−i3−i3i3i300003−30000000033−3−3−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ1300000000
χ482-22-22i−2i−2i2i2-12-221-1-22-21-2−2i2i2i−2i2i−2i−iii−i2i−2i-12-11-1-221-11-21i−i2i−2i2i−2i−ii−ii−ii0000-11-11−ii−ii0000−i3i300000000−i3−i3i3i300003−30000000033−3−3ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ1300000000
χ492-22-22i−2i−2i2i2-12-221-1-22-21-2−2i2i2i−2i2i−2i−iii−i2i−2i-12-11-1-221-11-21i−i2i−2i2i−2i−ii−ii−ii0000-11-11−ii−ii0000i3−i300000000i3i3−i3−i30000−3300000000−3−333−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ1300000000
χ502-22-22i−2i−2i2i2-12-221-1-22-21-2−2i2i2i−2i2i−2i−iii−i2i−2i-12-11-1-221-11-21i−i2i−2i2i−2i−ii−ii−ii0000-11-11−ii−ii0000i3−i300000000i3i3−i3−i30000−3300000000−3−333ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ1300000000
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χ1124-44-44i−4i−4i4i-24-22-2-442-22-422i−2i−2i2i−2i2i4i−4i−4i4i−2i2i-21-22-2-112-22-122i−2ii−ii−i−2i2i−2i2i−2i2i00001-11-1i−ii−i0000000000-333-300000000000000−3i3i3i−3i00000000000000000000000000000000000000000000
χ1134-44-44i−4i−4i4i-2-242-22-2-4422-42i−2i4i−4i4i−4i−2i2i2i−2i−2i2i1-2-2-112-22-2-122−ii−2i2i−2i2i−2i2i−2i2ii−i00001-11-1i−ii−i000000000000000000000000000000000000−2ζ7+2ζ232ζ7−2ζ232ζ5−2ζ13−2ζ5+2ζ130000ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13000000000000000000000000
χ1144-44-44i−4i−4i4i-2-242-22-2-4422-42i−2i4i−4i4i−4i−2i2i2i−2i−2i2i1-2-2-112-22-2-122−ii−2i2i−2i2i−2i2i−2i2ii−i00001-11-1i−ii−i0000000000000000000000000000000000002ζ7−2ζ23−2ζ7+2ζ23−2ζ5+2ζ132ζ5−2ζ130000−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13000000000000000000000000
χ1154-44-4−4i4i4i−4i44-2-44-442-2-4-424i−4i2i−2i2i−2i−4i4i4i−4i−4i4i4-2-2-442-22-2-4224i−4i2i−2i2i−2i2i−2i2i−2i−4i4i0000-22-222i−2i2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1164-44-4−4i4i4i−4i4-2-2-442-22-2-4224i−4i2i−2i2i−2i2i−2i−2i2i−4i4i-2-212-22-2-1122-1−2i2i2i−2i2i−2i−ii−ii2i−2i00001-11-1−ii−ii0000−2i32i300000000i3i3−i3−i30000−23230000000033−3−30000000000000000000000000000000000000000
χ1174-44-4−4i4i4i−4i4-2-2-442-22-2-4224i−4i2i−2i2i−2i2i−2i−2i2i−4i4i-2-212-22-2-1122-1−2i2i2i−2i2i−2i−ii−ii2i−2i00001-11-1−ii−ii00002i3−2i300000000−i3−i3i3i3000023−2300000000−3−3330000000000000000000000000000000000000000
χ1184-44-4−4i4i4i−4i-2442-2-44-442-4-4−2i2i−4i4i−4i4i−4i4i4i−4i2i−2i-2-242-22-2-4422-4−2i2i2i−2i2i−2i−4i4i−4i4i2i−2i0000-22-222i−2i2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1194-44-4−4i4i4i−4i-24-22-2-442-22-42−2i2i2i−2i2i−2i−4i4i4i−4i2i−2i-21-22-2-112-22-12−2i2i−ii−ii2i−2i2i−2i2i−2i00001-11-1−ii−ii00000000003-3-3300000000000000−3i3i3i−3i00000000000000000000000000000000000000000000
χ1204-44-4−4i4i4i−4i-24-22-2-442-22-42−2i2i2i−2i2i−2i−4i4i4i−4i2i−2i-21-22-2-112-22-12−2i2i−ii−ii2i−2i2i−2i2i−2i00001-11-1−ii−ii0000000000-333-3000000000000003i−3i−3i3i00000000000000000000000000000000000000000000
χ1214-44-4−4i4i4i−4i-2-242-22-2-4422-4−2i2i−4i4i−4i4i2i−2i−2i2i2i−2i1-2-2-112-22-2-122i−i2i−2i2i−2i2i−2i2i−2i−ii00001-11-1−ii−ii0000000000000000000000000000000000002ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ230000−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23000000000000000000000000
χ1224-44-4−4i4i4i−4i-2-242-22-2-4422-4−2i2i−4i4i−4i4i2i−2i−2i2i2i−2i1-2-2-112-22-2-122i−i2i−2i2i−2i2i−2i2i−2i−ii00001-11-1−ii−ii000000000000000000000000000000000000−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ230000ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23000000000000000000000000
χ1234-4-4444-4-44-24-4-422-4-44-24-4-44-4-44-2-22244-24-222-4-422-24-2224-4-44-222-2-2-20000-222-2-222-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1244-4-4444-4-44-2-2-4-422224-2-2-4-4-222-2-2-22244-2-212222-1-1-2-2122-222-21-1-11-2-200001-1-111-1-1100000000−2i32i30000i3−i3i3−i300000000−2i32i30000i3−i3i3−i30000000000000000000000000000000000000000
χ1254-4-4444-4-44-2-2-4-422224-2-2-4-4-222-2-2-22244-2-212222-1-1-2-2122-222-21-1-11-2-200001-1-111-1-11000000002i3−2i30000−i3i3−i3i3000000002i3−2i30000−i3i3−i3i30000000000000000000000000000000000000000
χ1264-4-4444-4-4-24-222-4-422-24-222-222-244-4-4-2-2-21-222-1-122-21-2221-1-11-222-2-2-24-44-41-1-111-1-1100-2200-220011-1-1000000-2200-220011-1-100000000000000000000000000000000000000000000
χ1274-4-4444-4-4-24-222-4-422-24-222-222-244-4-4-2-2-21-222-1-122-21-2221-1-11-222-2-2-2-44-441-1-111-1-11002-2002-200-1-1110000002-2002-200-1-11100000000000000000000000000000000000000000000
χ1284-4-4444-4-4-2-242222-4-4-2-24224-4-44-2-222-2-21-2-2-1-122221-2-2-1-1-222-2-222-21100001-1-111-1-110000000000000000000000000000000000000000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i3000000000000000000000000
χ1294-4-4444-4-4-2-242222-4-4-2-24224-4-44-2-222-2-21-2-2-1-122221-2-2-1-1-222-2-222-21100001-1-111-1-1100000000000000000000000000000000000000002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i3000000000000000000000000
χ1304-4-44-4-4444-24-4-422-4-44-2444-444-422-2-2-4-4-24-222-4-422-24-2-2-2-444-42-2-22220000-222-22-2-220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1314-4-44-4-4444-2-2-4-422224-2-2442-2-2222-2-2-4-4-2-212222-1-1-2-21-2-22-2-22-111-12200001-1-11-111-100000000−2i32i30000i3−i3i3−i3000000002i3−2i30000−i3i3−i3i30000000000000000000000000000000000000000
χ1324-4-44-4-4444-2-2-4-422224-2-2442-2-2222-2-2-4-4-2-212222-1-1-2-21-2-22-2-22-111-12200001-1-11-111-1000000002i3−2i30000−i3i3−i3i300000000−2i32i30000i3−i3i3−i30000000000000000000000000000000000000000
χ1334-4-44-4-444-24-222-4-422-24-2-2-22-2-22-4-44422-21-222-1-122-21-2-2-2-111-12-2-22224-4-441-1-11-111-100-2200-220011-1-10000002-2002-200-1-11100000000000000000000000000000000000000000000
χ1344-4-44-4-444-24-222-4-422-24-2-2-22-2-22-4-44422-21-222-1-122-21-2-2-2-111-12-2-2222-444-41-1-11-111-1002-2002-200-1-111000000-2200-220011-1-100000000000000000000000000000000000000000000
χ1354-4-44-4-444-2-242222-4-4-2-24-2-2-444-422-2-2221-2-2-1-122221-2-2112-2-222-2-22-1-100001-1-11-111-1000000000000000000000000000000000000000023−23−2323−33−333−33−3000000000000000000000000
χ1364-4-44-4-444-2-242222-4-4-2-24-2-2-444-422-2-2221-2-2-1-122221-2-2112-2-222-2-22-1-100001-1-11-111-10000000000000000000000000000000000000000−232323−233−33−3−33−33000000000000000000000000
χ13788888888-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-42222222222222222222222220000-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388888-8-8-8-8-4-4-4-4-4-4-4-4-4-4-4-4444444444444222222222222-2-2-2-2-2-2-2-2-2-2-2-20000-1-1-1-111110000000000000000000000000000000000000000000000000000000000000000000000000000
χ13988-8-88i−8i8i−8i-4-4-4-44-44-44444−4i4i−4i−4i4i4i−4i4i−4i4i−4i4i2222-22-22-2-2-2-22i−2i2i2i−2i−2i2i2i−2i−2i2i−2i0000-1-111−i−iii0000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1418-88-88i−8i−8i8i-4-4-44-44-44-44444i−4i−4i4i−4i4i−4i4i4i−4i−4i4i222-22-22-22-2-2-2−2i2i2i−2i2i−2i2i−2i2i−2i2i−2i0000-11-11−ii−ii0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-8−8i8i8i−8i-4-4-44-44-44-4444−4i4i4i−4i4i−4i4i−4i−4i4i4i−4i222-22-22-22-2-2-22i−2i−2i2i−2i2i−2i2i−2i2i−2i2i0000-11-11i−ii−i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-8888-8-8-4-4-4444444-4-4-444-444-4-4-444-4-4222-2-2-2-2-2-2222-2-22-2-222-2-22220000-111-1-111-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-88-8-888-4-4-4444444-4-4-4-4-44-4-4444-4-444222-2-2-2-2-2-222222-222-2-222-2-2-20000-111-11-1-110000000000000000000000000000000000000000000000000000000000000000000000000000

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