Finite Group Databasebeta

← Group #13144762

Character table — Group #13144762

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size111111222222222666666668881212121212121212121212121818181818181818181818182424242424242424727272111111222222222666666668881212121212121212121212121818181818181818181818182424242424242424727272
order1233664881212242424243333666641212121212122424242424242424161616164848484848484848121212121212121226622666648812122424242466666666412121212121224242424242424241616161648484848484848481212121212121212266
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1
χ311111111111111111111111-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ52222222222222222-1-1-12-1-1-12222-1-1-122-1-1-1-1-1-100000000000022-1-1-1-1-1-10002222222222222222-1-1-12-1-1-12222-1-1-122-1-1-1-1-1-100000000000022-1-1-1-1-1-1000
χ62222222222222222-1-1-12-1-1-1-2-2-22-1-1-122-1-1-1-1-1-1000000000000-2-21111110002222222222222222-1-1-12-1-1-1-2-2-22-1-1-122-1-1-1-1-1-1000000000000-2-2111111000
χ7222222222222222-12-1-1-12-1-1222-12-1-1-1-122-1-1-1-1000000000000-1-122-1-1-1-1000222222222222222-12-1-1-12-1-1222-12-1-1-1-122-1-1-1-1000000000000-1-122-1-1-1-1000
χ8222222222222222-12-1-1-12-1-1-2-2-2-12-1-1-1-122-1-1-1-100000000000011-2-21111000222222222222222-12-1-1-12-1-1-2-2-2-12-1-1-1-122-1-1-1-100000000000011-2-21111000
χ9222222222222222-1-12-1-1-12-1222-1-12-1-1-1-1-122-1-1000000000000-1-1-1-122-1-1000222222222222222-1-12-1-1-12-1222-1-12-1-1-1-1-122-1-1000000000000-1-1-1-122-1-1000
χ10222222222222222-1-12-1-1-12-1-2-2-2-1-12-1-1-1-1-122-1-10000000000001111-2-211000222222222222222-1-12-1-1-12-1-2-2-2-1-12-1-1-1-1-122-1-10000000000001111-2-211000
χ11222222222222222-1-1-12-1-1-12222-1-1-12-1-1-1-1-1-122000000000000-1-1-1-1-1-122000222222222222222-1-1-12-1-1-12222-1-1-12-1-1-1-1-1-122000000000000-1-1-1-1-1-122000
χ12222222222222222-1-1-12-1-1-12-2-2-2-1-1-12-1-1-1-1-1-122000000000000111111-2-2000222222222222222-1-1-12-1-1-12-2-2-2-1-1-12-1-1-1-1-1-122000000000000111111-2-2000
χ132222222-2-222-2-2-2-2222222220002222-2-2-2-2-2-2-2-2000000000000000000000002222222-2-222-2-2-2-2222222220002222-2-2-2-2-2-2-2-200000000000000000000000
χ142222222-2-222-2-2-2-22-1-1-12-1-1-10002-1-1-1-2-211111100000000000000−i3i3−i3i3−i3i30002222222-2-222-2-2-2-22-1-1-12-1-1-10002-1-1-1-2-211111100000000000000−i3i3−i3i3−i3i3000
χ152222222-2-222-2-2-2-22-1-1-12-1-1-10002-1-1-1-2-211111100000000000000i3−i3i3−i3i3−i30002222222-2-222-2-2-2-22-1-1-12-1-1-10002-1-1-1-2-211111100000000000000i3−i3i3−i3i3−i3000
χ162222222-2-222-2-2-2-2-12-1-1-12-1-1000-12-1-111-2-21111000000000000−i3i300−i3i3i3−i30002222222-2-222-2-2-2-2-12-1-1-12-1-1000-12-1-111-2-21111000000000000−i3i300−i3i3i3−i3000
χ172222222-2-222-2-2-2-2-12-1-1-12-1-1000-12-1-111-2-21111000000000000i3−i300i3−i3−i3i30002222222-2-222-2-2-2-2-12-1-1-12-1-1000-12-1-111-2-21111000000000000i3−i300i3−i3−i3i3000
χ182222222-2-222-2-2-2-2-1-12-1-1-12-1000-1-12-11111-2-211000000000000−i3i3i3−i300−i3i30002222222-2-222-2-2-2-2-1-12-1-1-12-1000-1-12-11111-2-211000000000000−i3i3i3−i300−i3i3000
χ192222222-2-222-2-2-2-2-1-12-1-1-12-1000-1-12-11111-2-211000000000000i3−i3−i3i300i3−i30002222222-2-222-2-2-2-2-1-12-1-1-12-1000-1-12-11111-2-211000000000000i3−i3−i3i300i3−i3000
χ202222222-2-222-2-2-2-2-1-1-12-1-1-12000-1-1-12111111-2-2000000000000−i3i3−i3i3i3−i3000002222222-2-222-2-2-2-2-1-1-12-1-1-12000-1-1-12111111-2-2000000000000−i3i3−i3i3i3−i300000
χ212222222-2-222-2-2-2-2-1-1-12-1-1-12000-1-1-12111111-2-2000000000000i3−i3i3−i3−i3i3000002222222-2-222-2-2-2-2-1-1-12-1-1-12000-1-1-12111111-2-2000000000000i3−i3i3−i3−i3i300000
χ22222222-200-2-2000022222222000-2-2-2-20000000022−2−22222−2−2−2−200000000000222222-200-2-2000022222222000-2-2-2-20000000022−2−22222−2−2−2−200000000000
χ23222222-200-2-2000022222222000-2-2-2-200000000−2−222−2−2−2−2222200000000000222222-200-2-2000022222222000-2-2-2-200000000−2−222−2−2−2−2222200000000000
χ242-222-2-202−20022−2−22222-2-2-2-200000002−22−22−22−2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ43000000000002-222-2-202−20022−2−22222-2-2-2-200000002−22−22−22−2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ4300000000000
χ252-222-2-202−20022−2−22222-2-2-2-200000002−22−22−22−2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43000000000002-222-2-202−20022−2−22222-2-2-2-200000002−22−22−22−2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ4300000000000
χ262-222-2-20−2200−2−2222222-2-2-2-20000000−22−22−22−22ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47000000000002-222-2-20−2200−2−2222222-2-2-2-20000000−22−22−22−22ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ4700000000000
χ272-222-2-20−2200−2−2222222-2-2-2-20000000−22−22−22−22−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47000000000002-222-2-20−2200−2−2222222-2-2-2-20000000−22−22−22−22−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ4700000000000
χ2833−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32000000003−3−3i32−3+3i320000000000001111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32000000001−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32000000003−3−3i32−3+3i320000000000001111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32000000001−1−i32−1+i32
χ2933−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32000000003−3−3i32−3+3i32000000000000-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3200000000-11+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32000000003−3−3i32−3+3i32000000000000-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3200000000-11+i321−i32
χ3033−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3200000000-33+3i323−3i320000000000001111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3200000000-11+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3200000000-33+3i323−3i320000000000001111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3200000000-11+i321−i32
χ3133−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3200000000-33+3i323−3i32000000000000-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32000000001−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3200000000-33+3i323−3i32000000000000-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32000000001−1−i32−1+i32
χ3233−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32000000003−3+3i32−3−3i320000000000001111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32000000001−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32000000003−3+3i32−3−3i320000000000001111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32000000001−1+i32−1−i32
χ3333−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32000000003−3+3i32−3−3i32000000000000-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i3200000000-11−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32000000003−3+3i32−3−3i32000000000000-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i3200000000-11−i321+i32
χ3433−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3200000000-33−3i323+3i320000000000001111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3200000000-11−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3200000000-33−3i323+3i320000000000001111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3200000000-11−i321+i32
χ3533−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3200000000-33−3i323+3i32000000000000-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32000000001−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3200000000-33−3i323+3i32000000000000-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32000000001−1+i32−1−i32
χ36444444-400-4-400004-2-2-24-2-2-2000-42220000000000000000000000000000000444444-400-4-400004-2-2-24-2-2-2000-42220000000000000000000000000000000
χ37444444-400-4-40000-24-2-2-24-2-20002-4220000000000000000000000000000000444444-400-4-40000-24-2-2-24-2-20002-4220000000000000000000000000000000
χ38444444-400-4-40000-2-24-2-2-24-200022-420000000000000000000000000000000444444-400-4-40000-2-24-2-2-24-200022-420000000000000000000000000000000
χ39444444-400-4-40000-2-2-24-2-2-24000222-40000000000000000000000000000000444444-400-4-40000-2-2-24-2-2-24000222-40000000000000000000000000000000
χ404-444-4-4022−22002222−22−224-2-2-2-4222000000022−22−22−22−22000000000000000000000004-444-4-4022−22002222−22−224-2-2-2-4222000000022−22−22−22−2200000000000000000000000
χ414-444-4-4022−22002222−22−22-24-2-22-4220000000−2222−22−22−22000000000000000000000004-444-4-4022−22002222−22−22-24-2-22-4220000000−2222−22−22−2200000000000000000000000
χ424-444-4-4022−22002222−22−22-2-24-222-420000000−22−2222−22−22000000000000000000000004-444-4-4022−22002222−22−22-2-24-222-420000000−22−2222−22−2200000000000000000000000
χ434-444-4-4022−22002222−22−22-2-2-24222-40000000−22−22−2222−22000000000000000000000004-444-4-4022−22002222−22−22-2-2-24222-40000000−22−22−2222−2200000000000000000000000
χ444-444-4-40−222200−22−2222224-2-2-2-42220000000−22222−22−22−2000000000000000000000004-444-4-40−222200−22−2222224-2-2-2-42220000000−22222−22−22−200000000000000000000000
χ454-444-4-40−222200−22−222222-24-2-22-42200000002−2−22222−22−2000000000000000000000004-444-4-40−222200−22−222222-24-2-22-42200000002−2−22222−22−200000000000000000000000
χ464-444-4-40−222200−22−222222-2-24-222-4200000002−22−2−22222−2000000000000000000000004-444-4-40−222200−22−222222-2-24-222-4200000002−22−2−22222−200000000000000000000000
χ474-444-4-40−222200−22−222222-2-2-24222-400000002−22−22−2−2222000000000000000000000004-444-4-40−222200−22−222222-2-2-24222-400000002−22−22−2−222200000000000000000000000
χ4866−3−3i3−3+3i3−3−3i3−3+3i36-6-6−3−3i3−3+3i33+3i33−3i33+3i33−3i3000000000000000000000000000000000000000000000066−3−3i3−3+3i3−3−3i3−3+3i36-6-6−3−3i3−3+3i33+3i33−3i33+3i33−3i30000000000000000000000000000000000000000000000
χ4966−3−3i3−3+3i3−3−3i3−3+3i3-6003+3i33−3i300000000000000000000000000022−2−2−ζ14+ζ26ζ10−ζ46−ζ14+ζ26ζ10−ζ46ζ14−ζ26−ζ10+ζ46ζ14−ζ26−ζ10+ζ460000000000066−3−3i3−3+3i3−3−3i3−3+3i3-6003+3i33−3i300000000000000000000000000022−2−2−ζ14+ζ26ζ10−ζ46−ζ14+ζ26ζ10−ζ46ζ14−ζ26−ζ10+ζ46ζ14−ζ26−ζ10+ζ4600000000000
χ5066−3−3i3−3+3i3−3−3i3−3+3i3-6003+3i33−3i3000000000000000000000000000−2−222ζ14−ζ26−ζ10+ζ46ζ14−ζ26−ζ10+ζ46−ζ14+ζ26ζ10−ζ46−ζ14+ζ26ζ10−ζ460000000000066−3−3i3−3+3i3−3−3i3−3+3i3-6003+3i33−3i3000000000000000000000000000−2−222ζ14−ζ26−ζ10+ζ46ζ14−ζ26−ζ10+ζ46−ζ14+ζ26ζ10−ζ46−ζ14+ζ26ζ10−ζ4600000000000
χ5166−3+3i3−3−3i3−3+3i3−3−3i36-6-6−3+3i3−3−3i33−3i33+3i33−3i33+3i3000000000000000000000000000000000000000000000066−3+3i3−3−3i3−3+3i3−3−3i36-6-6−3+3i3−3−3i33−3i33+3i33−3i33+3i30000000000000000000000000000000000000000000000
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χ9433−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32000000003−3+3i32−3−3i32000000000000-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i3200000000-11−i321+i32-3-33−3i323+3i323−3i323+3i32-3-3-33−3i323+3i323−3i323+3i323−3i323+3i3200000000-33−3i323+3i320000000000001111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32000000001−1+i32−1−i32
χ9533−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3200000000-33−3i323+3i320000000000001111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3200000000-11−i321+i32-3-33−3i323+3i323−3i323+3i32-3-3-33−3i323+3i323−3i323+3i323−3i323+3i32000000003−3+3i32−3−3i32000000000000-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32000000001−1+i32−1−i32
χ9633−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3200000000-33−3i323+3i32000000000000-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32000000001−1+i32−1−i32-3-33−3i323+3i323−3i323+3i32-3-3-33−3i323+3i323−3i323+3i323−3i323+3i32000000003−3+3i32−3−3i320000000000001111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3200000000-11−i321+i32
χ97444444-400-4-400004-2-2-24-2-2-2000-42220000000000000000000000000000000-4-4-4-4-4-4400440000-4222-42220004-2-2-20000000000000000000000000000000
χ98444444-400-4-40000-24-2-2-24-2-20002-4220000000000000000000000000000000-4-4-4-4-4-44004400002-4222-422000-24-2-20000000000000000000000000000000
χ99444444-400-4-40000-2-24-2-2-24-200022-420000000000000000000000000000000-4-4-4-4-4-440044000022-4222-42000-2-24-20000000000000000000000000000000
χ100444444-400-4-40000-2-2-24-2-2-24000222-40000000000000000000000000000000-4-4-4-4-4-4400440000222-4222-4000-2-2-240000000000000000000000000000000
χ1014-444-4-4022−22002222−22−224-2-2-2-4222000000022−22−22−22−2200000000000000000000000-44-4-4440−222200−22−222222-42224-2-2-20000000−22222−22−22−200000000000000000000000
χ1024-444-4-4022−22002222−22−22-24-2-22-4220000000−2222−22−22−2200000000000000000000000-44-4-4440−222200−22−2222222-422-24-2-200000002−2−22222−22−200000000000000000000000
χ1034-444-4-4022−22002222−22−22-2-24-222-420000000−22−2222−22−2200000000000000000000000-44-4-4440−222200−22−22222222-42-2-24-200000002−22−2−22222−200000000000000000000000
χ1044-444-4-4022−22002222−22−22-2-2-24222-40000000−22−22−2222−2200000000000000000000000-44-4-4440−222200−22−222222222-4-2-2-2400000002−22−22−2−222200000000000000000000000
χ1054-444-4-40−222200−22−2222224-2-2-2-42220000000−22222−22−22−200000000000000000000000-44-4-444022−22002222−22−22-42224-2-2-2000000022−22−22−22−2200000000000000000000000
χ1064-444-4-40−222200−22−222222-24-2-22-42200000002−2−22222−22−200000000000000000000000-44-4-444022−22002222−22−222-422-24-2-20000000−2222−22−22−2200000000000000000000000
χ1074-444-4-40−222200−22−222222-2-24-222-4200000002−22−2−22222−200000000000000000000000-44-4-444022−22002222−22−2222-42-2-24-20000000−22−2222−22−2200000000000000000000000
χ1084-444-4-40−222200−22−222222-2-2-24222-400000002−22−22−2−222200000000000000000000000-44-4-444022−22002222−22−22222-4-2-2-240000000−22−22−2222−2200000000000000000000000
χ10966−3−3i3−3+3i3−3−3i3−3+3i36-6-6−3−3i3−3+3i33+3i33−3i33+3i33−3i30000000000000000000000000000000000000000000000-6-63+3i33−3i33+3i33−3i3-6663+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i30000000000000000000000000000000000000000000000
χ11066−3−3i3−3+3i3−3−3i3−3+3i3-6003+3i33−3i300000000000000000000000000022−2−2−ζ14+ζ26ζ10−ζ46−ζ14+ζ26ζ10−ζ46ζ14−ζ26−ζ10+ζ46ζ14−ζ26−ζ10+ζ4600000000000-6-63+3i33−3i33+3i33−3i3600−3−3i3−3+3i3000000000000000000000000000−2−222ζ14−ζ26−ζ10+ζ46ζ14−ζ26−ζ10+ζ46−ζ14+ζ26ζ10−ζ46−ζ14+ζ26ζ10−ζ4600000000000
χ11166−3−3i3−3+3i3−3−3i3−3+3i3-6003+3i33−3i3000000000000000000000000000−2−222ζ14−ζ26−ζ10+ζ46ζ14−ζ26−ζ10+ζ46−ζ14+ζ26ζ10−ζ46−ζ14+ζ26ζ10−ζ4600000000000-6-63+3i33−3i33+3i33−3i3600−3−3i3−3+3i300000000000000000000000000022−2−2−ζ14+ζ26ζ10−ζ46−ζ14+ζ26ζ10−ζ46ζ14−ζ26−ζ10+ζ46ζ14−ζ26−ζ10+ζ4600000000000
χ11266−3+3i3−3−3i3−3+3i3−3−3i36-6-6−3+3i3−3−3i33−3i33+3i33−3i33+3i30000000000000000000000000000000000000000000000-6-63−3i33+3i33−3i33+3i3-6663−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i30000000000000000000000000000000000000000000000
χ11366−3+3i3−3−3i3−3+3i3−3−3i3-6003−3i33+3i300000000000000000000000000022−2−2ζ10−ζ46−ζ14+ζ26ζ10−ζ46−ζ14+ζ26−ζ10+ζ46ζ14−ζ26−ζ10+ζ46ζ14−ζ2600000000000-6-63−3i33+3i33−3i33+3i3600−3+3i3−3−3i3000000000000000000000000000−2−222−ζ10+ζ46ζ14−ζ26−ζ10+ζ46ζ14−ζ26ζ10−ζ46−ζ14+ζ26ζ10−ζ46−ζ14+ζ2600000000000
χ11466−3+3i3−3−3i3−3+3i3−3−3i3-6003−3i33+3i3000000000000000000000000000−2−222−ζ10+ζ46ζ14−ζ26−ζ10+ζ46ζ14−ζ26ζ10−ζ46−ζ14+ζ26ζ10−ζ46−ζ14+ζ2600000000000-6-63−3i33+3i33−3i33+3i3600−3+3i3−3−3i300000000000000000000000000022−2−2ζ10−ζ46−ζ14+ζ26ζ10−ζ46−ζ14+ζ26−ζ10+ζ46ζ14−ζ26−ζ10+ζ46ζ14−ζ2600000000000
χ1156-6−3−3i3−3+3i33+3i33−3i3032−3200−3ζ14+3ζ263ζ10−3ζ463ζ14−3ζ26−3ζ10+3ζ4600000000000000000000000−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31−ζ11−ζ29−ζ13−ζ43ζ11+ζ29ζ13+ζ4300000000000-663+3i33−3i3−3−3i3−3+3i30−3232003ζ14−3ζ26−3ζ10+3ζ46−3ζ14+3ζ263ζ10−3ζ4600000000000000000000000ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ41−ζ47−ζ25−ζ31ζ41+ζ47ζ25+ζ31ζ11+ζ29ζ13+ζ43−ζ11−ζ29−ζ13−ζ4300000000000
χ1166-6−3−3i3−3+3i33+3i33−3i3032−3200−3ζ14+3ζ263ζ10−3ζ463ζ14−3ζ26−3ζ10+3ζ4600000000000000000000000ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ41−ζ47−ζ25−ζ31ζ41+ζ47ζ25+ζ31ζ11+ζ29ζ13+ζ43−ζ11−ζ29−ζ13−ζ4300000000000-663+3i33−3i3−3−3i3−3+3i30−3232003ζ14−3ζ26−3ζ10+3ζ46−3ζ14+3ζ263ζ10−3ζ4600000000000000000000000−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31−ζ11−ζ29−ζ13−ζ43ζ11+ζ29ζ13+ζ4300000000000
χ1176-6−3−3i3−3+3i33+3i33−3i30−3232003ζ14−3ζ26−3ζ10+3ζ46−3ζ14+3ζ263ζ10−3ζ4600000000000000000000000ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ29−ζ13−ζ43ζ11+ζ29ζ13+ζ43−ζ41−ζ47−ζ25−ζ31ζ41+ζ47ζ25+ζ3100000000000-663+3i33−3i3−3−3i3−3+3i3032−3200−3ζ14+3ζ263ζ10−3ζ463ζ14−3ζ26−3ζ10+3ζ4600000000000000000000000−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ29ζ13+ζ43−ζ11−ζ29−ζ13−ζ43ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ3100000000000
χ1186-6−3−3i3−3+3i33+3i33−3i30−3232003ζ14−3ζ26−3ζ10+3ζ46−3ζ14+3ζ263ζ10−3ζ4600000000000000000000000−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ29ζ13+ζ43−ζ11−ζ29−ζ13−ζ43ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ3100000000000-663+3i33−3i3−3−3i3−3+3i3032−3200−3ζ14+3ζ263ζ10−3ζ463ζ14−3ζ26−3ζ10+3ζ4600000000000000000000000ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ29−ζ13−ζ43ζ11+ζ29ζ13+ζ43−ζ41−ζ47−ζ25−ζ31ζ41+ζ47ζ25+ζ3100000000000
χ1196-6−3+3i3−3−3i33−3i33+3i3032−32003ζ10−3ζ46−3ζ14+3ζ26−3ζ10+3ζ463ζ14−3ζ2600000000000000000000000−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ13−ζ43−ζ11−ζ29ζ13+ζ43ζ11+ζ2900000000000-663−3i33+3i3−3+3i3−3−3i30−323200−3ζ10+3ζ463ζ14−3ζ263ζ10−3ζ46−3ζ14+3ζ2600000000000000000000000ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31ζ41+ζ47ζ13+ζ43ζ11+ζ29−ζ13−ζ43−ζ11−ζ2900000000000
χ1206-6−3+3i3−3−3i33−3i33+3i3032−32003ζ10−3ζ46−3ζ14+3ζ26−3ζ10+3ζ463ζ14−3ζ2600000000000000000000000ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31ζ41+ζ47ζ13+ζ43ζ11+ζ29−ζ13−ζ43−ζ11−ζ2900000000000-663−3i33+3i3−3+3i3−3−3i30−323200−3ζ10+3ζ463ζ14−3ζ263ζ10−3ζ46−3ζ14+3ζ2600000000000000000000000−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ13−ζ43−ζ11−ζ29ζ13+ζ43ζ11+ζ2900000000000
χ1216-6−3+3i3−3−3i33−3i33+3i30−323200−3ζ10+3ζ463ζ14−3ζ263ζ10−3ζ46−3ζ14+3ζ2600000000000000000000000ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ13−ζ43−ζ11−ζ29ζ13+ζ43ζ11+ζ29−ζ25−ζ31−ζ41−ζ47ζ25+ζ31ζ41+ζ4700000000000-663−3i33+3i3−3+3i3−3−3i3032−32003ζ10−3ζ46−3ζ14+3ζ26−3ζ10+3ζ463ζ14−3ζ2600000000000000000000000−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ13+ζ43ζ11+ζ29−ζ13−ζ43−ζ11−ζ29ζ25+ζ31ζ41+ζ47−ζ25−ζ31−ζ41−ζ4700000000000
χ1226-6−3+3i3−3−3i33−3i33+3i30−323200−3ζ10+3ζ463ζ14−3ζ263ζ10−3ζ46−3ζ14+3ζ2600000000000000000000000−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ13+ζ43ζ11+ζ29−ζ13−ζ43−ζ11−ζ29ζ25+ζ31ζ41+ζ47−ζ25−ζ31−ζ41−ζ4700000000000-663−3i33+3i3−3+3i3−3−3i3032−32003ζ10−3ζ46−3ζ14+3ζ26−3ζ10+3ζ463ζ14−3ζ2600000000000000000000000ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ13−ζ43−ζ11−ζ29ζ13+ζ43ζ11+ζ29−ζ25−ζ31−ζ41−ζ47ζ25+ζ31ζ41+ζ4700000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.