Finite Group Databasebeta

← Group #14280036

Character table — Group #14280036

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111111112222222244444444444444444444444444444444444444444455555555888888888888888888888888888888888888101010101010101020202020202020202020202020202020202060606060606060606060606060606060
order1222222236666666222244566666666101010101010101212121215153030303030303030303030303030222222221010101010101010202020203030303030303030303030303030303060606060606060606666666622224466666666121212124444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii
χ5111111111111111111-1-1-1-111111-1-1-1-11111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-111111-1-1-1-11111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-1-1-111111-1-1-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii
χ8111111111111111111-1-1-1-111111-1-1-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i
χ91111111111111111-1-111-1-11-1-1-1-111111111111-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ101111111111111111-1-111-1-11-1-1-1-111111111111-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ111111111111111111-1-111-1-11-1-1-1-111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii
χ121111111111111111-1-111-1-11-1-1-1-111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i
χ131111111111111111-1-1-1-1111-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ141111111111111111-1-1-1-1111-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ151111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i
χ161111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii
χ1722222222-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ1822222222-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-21111111111110000000000000000
χ1922222222-1-1-1-1-1-1-1-122-2-2-2-22-1-1-1-1111122222221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000000000000
χ2022222222-1-1-1-1-1-1-1-122-2-2-2-22-1-1-1-1111122222221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111111111111-2-222221111-1-1-1-1-1-1-1-10000000000000000
χ2122222222-1-1-1-1-1-1-1-1-2-222-2-221111-1-1-1-122222221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000000000000
χ2222222222-1-1-1-1-1-1-1-1-2-222-2-221111-1-1-1-122222221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-1111111111111111122-2-222-1-1-1-11111-1-1-1-10000000000000000
χ2322222222-1-1-1-1-1-1-1-1-2-2-2-2222111111112222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000000000000
χ2422222222-1-1-1-1-1-1-1-1-2-2-2-2222111111112222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1111111112222-2-2-1-1-1-1-1-1-1-111110000000000000000
χ252222-2-2-2-22222-2-2-2-2000000200000000222-2-2-2-2000022222222-2-2-2-2-2-2-2-2222-22-2-2-20000000000000000000000000000000000002222-2-2-2-20000000000000000000000002i−2i0000002i−2i
χ262222-2-2-2-22222-2-2-2-2000000200000000222-2-2-2-2000022222222-2-2-2-2-2-2-2-2222-22-2-2-20000000000000000000000000000000000002222-2-2-2-2000000000000000000000000−2i2i000000−2i2i
χ272222-2-2-2-22222-2-2-2-2000000200000000222-2-2-2-2000022222222-2-2-2-2-2-2-2-2-2-2-22-2222000000000000000000000000000000000000-2-2-2-222220000000000000000000000002-2000000-22
χ282222-2-2-2-22222-2-2-2-2000000200000000222-2-2-2-2000022222222-2-2-2-2-2-2-2-2-2-2-22-2222000000000000000000000000000000000000-2-2-2-22222000000000000000000000000-220000002-2
χ2922-2-222-2-222-2-222-2-20000002000000002-2-222-2-200002222-2-2-2-22222-2-2-2-222-22-22-2-200000000000000000000000000000000000022-2-222-2-200000000000000000000002i−2i0000002i−2i00
χ3022-2-222-2-222-2-222-2-20000002000000002-2-222-2-200002222-2-2-2-22222-2-2-2-222-22-22-2-200000000000000000000000000000000000022-2-222-2-20000000000000000000000−2i2i000000−2i2i00
χ3122-2-222-2-222-2-222-2-20000002000000002-2-222-2-200002222-2-2-2-22222-2-2-2-2-2-22-22-222000000000000000000000000000000000000-2-222-2-22200000000000000000000002-2000000-2200
χ3222-2-222-2-222-2-222-2-20000002000000002-2-222-2-200002222-2-2-2-22222-2-2-2-2-2-22-22-222000000000000000000000000000000000000-2-222-2-2220000000000000000000000-220000002-200
χ3322-2-2-2-22222-2-2-2-2222-20000222-2-200002-2-2-2-22200002222-2-2-2-2-2-2-2-2222222-2-2-2-22222-2-2000000002222-2-2-2-2000000000000000022-2-2-2-2222-2000022-2-2000000000000000000000000
χ3422-2-2-2-22222-2-2-2-2222-20000222-2-200002-2-2-2-22200002222-2-2-2-2-2-2-2-22222-2-22222-2-222-2-2000000002222-2-2-2-20000000000000000-2-22222-2-2-220000-2-222000000000000000000000000
χ3522-2-2-2-22222-2-2-2-222-2200002-2-22200002-2-2-2-22200002222-2-2-2-2-2-2-2-2222222-2-2-2-222-2-22200000000-2-2-2-22222000000000000000022-2-2-2-222-220000-2-222000000000000000000000000
χ3622-2-2-2-22222-2-2-2-222-2200002-2-22200002-2-2-2-22200002222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-22200000000-2-2-2-222220000000000000000-2-22222-2-22-2000022-2-2000000000000000000000000
χ3722-2-2-2-222-1-11111-1-12-200002-1-111−i3−i3i3i32-2-2-2-222−i3−i3i3i3-1-1-1-111111111-1-1-1-122-2-2-2-22222-2-200000000-1-1-1-11111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3-1-11111-1-12-20000-1-111−i3−i3i3i3−i3−i3i3i30000000000000000
χ3822-2-2-2-222-1-11111-1-12-200002-1-111−i3−i3i3i32-2-2-2-222−i3−i3i3i3-1-1-1-111111111-1-1-1-1-2-22222-2-222-2-200000000-1-1-1-11111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i311-1-1-1-111-22000011-1-1i3i3−i3−i3i3i3−i3−i30000000000000000
χ3922-2-2-2-222-1-11111-1-12-200002-1-111i3i3−i3−i32-2-2-2-222i3i3−i3−i3-1-1-1-111111111-1-1-1-122-2-2-2-22222-2-200000000-1-1-1-11111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3-1-11111-1-12-20000-1-111i3i3−i3−i3i3i3−i3−i30000000000000000
χ4022-2-2-2-222-1-11111-1-12-200002-1-111i3i3−i3−i32-2-2-2-222i3i3−i3−i3-1-1-1-111111111-1-1-1-1-2-22222-2-222-2-200000000-1-1-1-11111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i311-1-1-1-111-22000011-1-1−i3−i3i3i3−i3−i3i3i30000000000000000
χ4122-2-2-2-222-1-11111-1-1-220000211-1-1−i3−i3i3i32-2-2-2-222i3i3−i3−i3-1-1-1-111111111-1-1-1-122-2-2-2-222-2-222000000001111-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3-1-11111-1-1-22000011-1-1−i3−i3i3i3i3i3−i3−i30000000000000000
χ4222-2-2-2-222-1-11111-1-1-220000211-1-1−i3−i3i3i32-2-2-2-222i3i3−i3−i3-1-1-1-111111111-1-1-1-1-2-22222-2-2-2-222000000001111-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i311-1-1-1-1112-20000-1-111i3i3−i3−i3−i3−i3i3i30000000000000000
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χ4422-2-2-2-222-1-11111-1-1-220000211-1-1i3i3−i3−i32-2-2-2-222−i3−i3i3i3-1-1-1-111111111-1-1-1-1-2-22222-2-2-2-222000000001111-1-1-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i311-1-1-1-1112-20000-1-111−i3−i3i3i3i3i3−i3−i30000000000000000
χ452-22-22-22-22-22-22-22-2000000200000000-22-22-22-2000022-2-222-2-222-2-222-2-22-222-2-22-20000000000000000000000000000000000002-22-22-22-2000000000000000000002i−2i0000002i−2i0000
χ462-22-22-22-22-22-22-22-2000000200000000-22-22-22-2000022-2-222-2-222-2-222-2-22-222-2-22-20000000000000000000000000000000000002-22-22-22-200000000000000000000−2i2i000000−2i2i0000
χ472-22-22-22-22-22-22-22-2000000200000000-22-22-22-2000022-2-222-2-222-2-222-2-2-22-2-222-22000000000000000000000000000000000000-22-22-22-22000000000000000000002-2000000-220000
χ482-22-22-22-22-22-22-22-2000000200000000-22-22-22-2000022-2-222-2-222-2-222-2-2-22-2-222-22000000000000000000000000000000000000-22-22-22-2200000000000000000000-220000002-20000
χ492-22-2-22-222-22-2-22-22002-200200002-22-2-22-2-22-22000022-2-222-2-2-2-222-2-2222-22-2-22-22000022-2-200000000000022-2-222-2-2000000002-22-2-22-22002-20000002-22-200000000000000000000
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χ522-22-2-22-222-22-2-22-2200-220020000-22-22-22-2-22-22000022-2-222-2-2-2-222-2-222-22-222-22-20000-2-222000000000000-2-222-2-22200000000-22-222-22-2002-20000002-22-200000000000000000000
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χ542-22-2-22-22-11-111-11-1002-2002−i3i3−i3i3-11-11-22-2-22-22−i3i3−i3i3-1-111-1-11111-1-111-1-1-22-222-22-2000022-2-20000−i3−i3i3i3−i3−i3i3i3-1-111-1-111−i3−i3i3i3−i3−i3i3i31-11-1-11-1100-2200i3−i3i3−i31-11-1i3−i3i3−i30000000000000000
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χ562-22-2-22-22-11-111-11-1002-2002i3−i3i3−i3-11-11-22-2-22-22i3−i3i3−i3-1-111-1-11111-1-111-1-1-22-222-22-2000022-2-20000i3i3−i3−i3i3i3−i3−i3-1-111-1-111i3i3−i3−i3i3i3−i3−i31-11-1-11-1100-2200−i3i3−i3i31-11-1−i3i3−i3i30000000000000000
χ572-22-2-22-22-11-111-11-100-22002−i3i3−i3i31-11-1-22-2-22-22i3−i3i3−i3-1-111-1-11111-1-111-1-12-22-2-22-220000-2-2220000−i3−i3i3i3−i3−i3i3i311-1-111-1-1i3i3−i3−i3i3i3−i3−i3-11-111-11-100-2200−i3i3−i3i31-11-1i3−i3i3−i30000000000000000
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χ1304-4-444-4-44-222-2-222-20000-44-12i3−2i3−2i32i3−2i32i32i3−2i311-1-111-12-2-221+i1521−i152−1−i152−1+i152−1−i152−1+i1521+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i1521+i1521−i152000000005−5−55−555−511-1-1−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−1−i152−1+i1521+i1521−i1521+i1521−i152−1−i152−1+i152000000000000000000000000000000000000000000
χ1314-4-44-444-4-222-22-2-22000000400000000-4-44-444-40000-2-22222-2-222-2-2-2-2224-4-4-4444-4000000000000000000000000000000000000-222-22-2-220000000000000000000000000000000000
χ1324-4-44-444-4-222-22-2-22000000400000000-4-44-444-40000-2-22222-2-222-2-2-2-222-4444-4-4-440000000000000000000000000000000000002-2-22-222-20000000000000000000000000000000000
χ1338888-8-8-8-88888-8-8-8-8000000-200000000-2-2-222220000-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1348888-8-8-8-8-4-4-4-44444000000-200000000-2-2-2222200001−i151+i151−i151+i151−i151+i151−i151+i15−1+i15−1−i15−1+i15−1−i15−1+i15−1−i15−1+i15−1−i1500000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1358888-8-8-8-8-4-4-4-44444000000-200000000-2-2-2222200001+i151−i151+i151−i151+i151−i151+i151−i15−1−i15−1+i15−1−i15−1+i15−1−i15−1+i15−1−i15−1+i1500000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13688-8-888-8-888-8-888-8-8000000-200000000-222-2-2220000-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13788-8-888-8-8-4-444-4-444000000-200000000-222-2-22200001−i151+i151−i151+i15−1+i15−1−i15−1+i15−1−i151−i151+i151−i151+i15−1+i15−1−i15−1+i15−1−i1500000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13888-8-888-8-8-4-444-4-444000000-200000000-222-2-22200001+i151−i151+i151−i15−1−i15−1+i15−1−i15−1+i151+i151−i151+i151−i15−1−i15−1+i15−1−i15−1+i1500000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1398-88-88-88-88-88-88-88-8000000-2000000002-22-22-220000-2-222-2-222-2-222-2-22200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1408-88-88-88-8-44-44-44-44000000-2000000002-22-22-2200001−i151+i15−1+i15−1−i151−i151+i15−1+i15−1−i151−i151+i15−1+i15−1−i151−i151+i15−1+i15−1−i1500000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-88-88-88-8-44-44-44-44000000-2000000002-22-22-2200001+i151−i15−1−i15−1+i151+i151−i15−1−i15−1+i151+i151−i15−1−i15−1+i151+i151−i15−1−i15−1+i1500000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-8-88-888-88-8-88-888-8000000-20000000022-22-2-220000-2-22222-2-222-2-2-2-22200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-88-888-8-444-44-4-44000000-20000000022-22-2-2200001−i151+i15−1+i15−1−i15−1+i15−1−i151−i151+i15−1+i15−1−i151−i151+i151−i151+i15−1+i15−1−i1500000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-88-888-8-444-44-4-44000000-20000000022-22-2-2200001+i151−i15−1−i15−1+i15−1−i15−1+i151+i151−i15−1−i15−1+i151+i151−i151+i151−i15−1−i15−1+i1500000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.