Finite Group Databasebeta

← Group #14284664

Character table — Group #14284664

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11111111222222224444444444444444444444444444448888888888888888888888888888888888888888881010101010101010202020202020202040404040404060606060606060606060606060606060
order122244443666121212124451010101212121215152020202030303030303060606060606060604412121212202020202020202020202020606060606060606060606060606060606060606060606060224444446612121212121244121212128888888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ51111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiii−i−i−i−i−i−i−i−iiiii
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−iiiiiiiii−i−i−i−i
χ91111-1-1-1-11111-1-1-1-11-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-111-1-1-111-1-111-1-11-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ101111-1-1-1-11111-1-1-1-11-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-111-1-1-111-1-111-1-11-111-1-1−i−iii−i−iii−i−iii−i−iii
χ111111-1-1-1-11111-1-1-1-11-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-111-11-1-11111-1-1-1-11111-1-1-1-111
χ121111-1-1-1-11111-1-1-1-11-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-111-11-1-111-1-11111-1-1-1-11111-1-1
χ131111-1-1-1-11111-1-1-1-11-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-111-1-111-1-1-11-1-111ii−i−iii−i−i−i−iii−i−iii
χ141111-1-1-1-11111-1-1-1-11-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-111-1-111-1-1-11-1-111−i−iii−i−iiiii−i−iii−i−i
χ151111-1-1-1-11111-1-1-1-11-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-1111-1-111-1-1111-111-1-111-1-1-1-111-1-11111-1-1
χ161111-1-1-1-11111-1-1-1-11-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-1111-1-111-1-1111-111-1-1-1-11111-1-111-1-1-1-111
χ172222222222222222-2-22222-2-2-2-222222222222222222222000000-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000222-2-2-2-222222-2-2-2-20000000000000000000000
χ182222222222222222-2-22222-2-2-2-222222222222222222222000000-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000-2-2-22222-2-2-2-2-222220000000000000000000000
χ1922222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-122-1-1-1-10000000000000000
χ2022222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111-2-211110000000000000000
χ2122222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211112222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122222222-1-1-1-1-1-1-1-1-2-211110000000000000000
χ2222222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211112222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2-2-2-2-21111111122-1-1-1-10000000000000000
χ2322222222-1-1-1-1-1-1-1-1-2-222221111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100−i3i3−i3i3-2-2-2-20000000011111111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3222-2-2-2-22-1-1-1-1111100−i3i3−i3i30000000000000000
χ2422222222-1-1-1-1-1-1-1-1-2-222221111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100−i3i3−i3i3-2-2-2-20000000011111111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3-2-2-22222-21111-1-1-1-100i3−i3i3−i30000000000000000
χ2522222222-1-1-1-1-1-1-1-1-2-222221111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100i3−i3i3−i3-2-2-2-20000000011111111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3222-2-2-2-22-1-1-1-1111100i3−i3i3−i30000000000000000
χ2622222222-1-1-1-1-1-1-1-1-2-222221111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100i3−i3i3−i3-2-2-2-20000000011111111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3-2-2-22222-21111-1-1-1-100−i3i3−i3i30000000000000000
χ272222-2-2-2-22222-2-2-2-2-222222-2-22222-2-2-2-2222222-2-2-2-2-2-2-2-2000000-2-22200000000-2-2-2-22222000000000000000022-2-2-222-222-2-2-2-2220000000000000000000000
χ282222-2-2-2-22222-2-2-2-2-222222-2-22222-2-2-2-2222222-2-2-2-2-2-2-2-2000000-2-22200000000-2-2-2-222220000000000000000-2-2222-2-22-2-22222-2-20000000000000000000000
χ292222-2-2-2-2-1-1-1-111112-22222-1-111-1-1-2-2-2-2-1-1-1-1-1-1111111112-2-1-11122-2-22222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-11111111122-222-2-2-2-1-111-1-1112-2-1-1110000000000000000
χ302222-2-2-2-2-1-1-1-111112-22222-1-111-1-1-2-2-2-2-1-1-1-1-1-1111111112-2-1-11122-2-22222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111-2-22-2-222211-1-111-1-1-2211-1-10000000000000000
χ312222-2-2-2-2-1-1-1-111112-22222-1-111-1-1-2-2-2-2-1-1-1-1-1-111111111-2211-1-122-2-2-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-122-222-2-2-2-1-111-1-111-2211-1-10000000000000000
χ322222-2-2-2-2-1-1-1-111112-22222-1-111-1-1-2-2-2-2-1-1-1-1-1-111111111-2211-1-122-2-2-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-1-2-22-2-222211-1-111-1-12-2-1-1110000000000000000
χ332222-2-2-2-2-1-1-1-11111-22222211-1-1-1-1-2-2-2-2-1-1-1-1-1-11111111100−i3i3i3−i3-2-222000000001111-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i322-2-2-222-2-1-11111-1-100−i3i3i3−i30000000000000000
χ342222-2-2-2-2-1-1-1-11111-22222211-1-1-1-1-2-2-2-2-1-1-1-1-1-11111111100−i3i3i3−i3-2-222000000001111-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3-2-2222-2-2211-1-1-1-11100i3−i3−i3i30000000000000000
χ352222-2-2-2-2-1-1-1-11111-22222211-1-1-1-1-2-2-2-2-1-1-1-1-1-11111111100i3−i3−i3i3-2-222000000001111-1-1-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i322-2-2-222-2-1-11111-1-100i3−i3−i3i30000000000000000
χ362222-2-2-2-2-1-1-1-11111-22222211-1-1-1-1-2-2-2-2-1-1-1-1-1-11111111100i3−i3−i3i3-2-222000000001111-1-1-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3-2-2222-2-2211-1-1-1-11100−i3i3i3−i30000000000000000
χ3722-2-222-2-222-2-222-2-20022-2-200002222-2-222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000002-220000-22-22-200000000002−22−22−22−200000000
χ3822-2-222-2-222-2-222-2-20022-2-200002222-2-222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000002-220000-22-22-20000000000−22−22−22−2200000000
χ3922-2-222-2-222-2-222-2-20022-2-200002222-2-222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000000-22-200002-22-220000000000−i2i2−i2i2i2−i2i2−i200000000
χ4022-2-222-2-222-2-222-2-20022-2-200002222-2-222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000000-22-200002-22-220000000000i2−i2i2−i2−i2i2−i2i200000000
χ4122-2-2-2-22222-2-2-2-2220022-2-2000022-2-22222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000002-2-2000022-2-220000000000−i2i2i2−i2−i2i2i2−i200000000
χ4222-2-2-2-22222-2-2-2-2220022-2-2000022-2-22222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000002-2-2000022-2-220000000000i2−i2−i2i2i2−i2−i2i200000000
χ4322-2-2-2-22222-2-2-2-2220022-2-2000022-2-22222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000-2220000-2-222-200000000002−2−22−222−200000000
χ4422-2-2-2-22222-2-2-2-2220022-2-2000022-2-22222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000-2220000-2-222-20000000000−222−22−2−2200000000
χ452-22-22i−2i2i−2i2-22-22i−2i2i−2i002-22-20000222i−2i2i−2i-2-222-2-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000002i−2i2-2000002i−2i2-2000000000000002−2−i2i2−i2i22−2
χ462-22-22i−2i2i−2i2-22-22i−2i2i−2i002-22-20000222i−2i2i−2i-2-222-2-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000002i−2i2-2000002i−2i2-200000000000000−22i2−i2i2−i2−22
χ472-22-22i−2i2i−2i2-22-22i−2i2i−2i002-22-20000222i−2i2i−2i-2-222-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000−2i2i-2200000−2i2i-2200000000000000−i2i2−222−2i2−i2
χ482-22-22i−2i2i−2i2-22-22i−2i2i−2i002-22-20000222i−2i2i−2i-2-222-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000−2i2i-2200000−2i2i-2200000000000000i2−i22−2−22−i2i2
χ492-22-2−2i2i−2i2i2-22-2−2i2i−2i2i002-22-2000022−2i2i−2i2i-2-222-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000002i−2i-22000002i−2i-2200000000000000−i2i22−2−22i2−i2
χ502-22-2−2i2i−2i2i2-22-2−2i2i−2i2i002-22-2000022−2i2i−2i2i-2-222-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000002i−2i-22000002i−2i-2200000000000000i2−i2−222−2−i2i2
χ512-22-2−2i2i−2i2i2-22-2−2i2i−2i2i002-22-2000022−2i2i−2i2i-2-222-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000−2i2i2-200000−2i2i2-2000000000000002−2i2−i2i2−i22−2
χ522-22-2−2i2i−2i2i2-22-2−2i2i−2i2i002-22-2000022−2i2i−2i2i-2-222-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000−2i2i2-200000−2i2i2-200000000000000−22−i2i2−i2i2−22
χ53444444444444444444-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ54444444444444444444-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-4-4-4-4-4-4-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111100000000000000000000000000000000000000
χ554444444444444444-4-4-1-1-1-1-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000001111−5−555−5−55511111111−5−555−5−555−5−555−5−55500000000000000000000000000000000000000
χ564444444444444444-4-4-1-1-1-1-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000111155−5−555−5−51111111155−5−555−5−555−5−555−5−500000000000000000000000000000000000000
χ5744444444-2-2-2-2-2-2-2-244-1-1-1-1-2-2-2-21−i1521+i152-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i15244-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i15200000000000000000000000000000000000000
χ5844444444-2-2-2-2-2-2-2-244-1-1-1-1-2-2-2-21−i1521+i152-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i152-4-42222-1-1-1-1111111111−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i152−1+i152−1+i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i152−1+i152−1+i15200000000000000000000000000000000000000
χ5944444444-2-2-2-2-2-2-2-244-1-1-1-1-2-2-2-21+i1521−i152-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i15244-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i15200000000000000000000000000000000000000
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χ1248-88-8−8i8i−8i8i8-88-8−8i8i−8i8i00-22-220000-2-22i−2i2i−2i22-2-2222i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-88-8−8i8i−8i8i-44-444i−4i4i−4i00-22-2200001−i151+i152i−2i2i−2i−1+i15−1−i151−i151+i15−1+i15−1−i15−2ζ14−2ζ22−2ζ86−2ζ118−2ζ38−2ζ46−2ζ62−2ζ942ζ14+2ζ22+2ζ86+2ζ1182ζ38+2ζ46+2ζ62+2ζ94−2ζ14−2ζ22−2ζ86−2ζ118−2ζ38−2ζ46−2ζ62−2ζ942ζ14+2ζ22+2ζ86+2ζ1182ζ38+2ζ46+2ζ62+2ζ9400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-88-8−8i8i−8i8i-44-444i−4i4i−4i00-22-2200001+i151−i152i−2i2i−2i−1−i15−1+i151+i151−i15−1−i15−1+i15−2ζ38−2ζ46−2ζ62−2ζ94−2ζ14−2ζ22−2ζ86−2ζ1182ζ38+2ζ46+2ζ62+2ζ942ζ14+2ζ22+2ζ86+2ζ118−2ζ38−2ζ46−2ζ62−2ζ94−2ζ14−2ζ22−2ζ86−2ζ1182ζ38+2ζ46+2ζ62+2ζ942ζ14+2ζ22+2ζ86+2ζ11800000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.