Finite Group Databasebeta

← Group #12979721

Character table — Group #12979721

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146
size11112222222222224444444444444448888888888888888888881010101010101010161616162020202020204040401111222222222222444444444444444888888888888888888888101010101010101016161616202020202020404040
order1222444455101010101010444888820202020202020204442020202020202020202040404040404040404444888820202020224488444222244441010101010101010444888820202020202020204442020202020202020202040404040404040404444888820202020224488444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-111111111-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1111111111111111111111-1-1-1-111111111-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-111
χ41111111111111111111-1-1-1-111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111-1-11111111111111111111-1-1-1-111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111-1-1
χ51111111111111111-1-11111111111111-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-11111111111111111-1-11111111111111-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1
χ61111111111111111-1-11111111111111-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111111-1-11111111111111-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111
χ71111111111111111-1-11-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11-1-11111111111111111-1-11-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11-1-1
χ81111111111111111-1-11-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1111111111111111111-1-11-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-111
χ91111-1-1111111111111-111-1-111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1111-1-1-1-11-11111-1-1111111111111-111-1-111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1111-1-1-1-11-1
χ101111-1-1111111111111-111-1-111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-11111-111111-1-1111111111111-111-1-111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-11111-11
χ111111-1-1111111111111-1-1-11111-1-1-1-111-11-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11-11111-11111-1-1111111111111-1-1-11111-1-1-1-111-11-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11-11111-1
χ121111-1-1111111111111-1-1-11111-1-1-1-111-11-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-11111-11-1-1-1-111111-1-1111111111111-1-1-11111-1-1-1-111-11-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-11111-11-1-1-1-11
χ131111-1-11111111111-1-1-111-1-111-1-1-1-111-111-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-111-1-11-1-1-11-111111-1-11111111111-1-1-111-1-111-1-1-1-111-111-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-111-1-11-1-1-11-11
χ141111-1-11111111111-1-1-111-1-111-1-1-1-111-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1111-11-11111-1-11111111111-1-1-111-1-111-1-1-1-111-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1111-11-1
χ151111-1-11111111111-1-1-1-1-11111-1-1-1-1111-11-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1111-111-1-111111-1-11111111111-1-1-1-1-11111-1-1-1-1111-11-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1111-111-1-11
χ161111-1-11111111111-1-1-1-1-11111-1-1-1-1111-11-1-1-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-1-11-1-111-11111-1-11111111111-1-1-1-1-11111-1-1-1-1111-11-1-1-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-1-11-1-111-1
χ1722222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000−1+52−1−52−1+52−1−5200000000022222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000−1+52−1−52−1+52−1−52000000000
χ1822222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000001−521+521−521+5200000000022222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000001−521+521−521+52000000000
χ1922222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+5200000000022222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+52000000000
χ2022222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−5200000000022222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−52000000000
χ2122222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000−1−52−1+52−1−52−1+5200000000022222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000−1−52−1+52−1−52−1+52000000000
χ2222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000001+521−521+521−5200000000022222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000001+521−521+521−52000000000
χ2322222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−5200000000022222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−52000000000
χ2422222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+5200000000022222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+52000000000
χ25222222-2-22222222200-20000-2-22222-2-2000-2-2000000000000000022220000000000-2-200000222222-2-22222222200-20000-2-22222-2-2000-2-2000000000000000022220000000000-2-200000
χ26222222-2-22222222200-20000-2-22222-2-2000-2-20000000000000000-2-2-2-200000000002200000222222-2-22222222200-20000-2-22222-2-2000-2-20000000000000000-2-2-2-200000000002200000
χ272222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-222-2-2−1+52−1−521−521−521+521+52−1+52−1−522-2-21−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000−1+52−1−521−521+520000000002222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-222-2-2−1+52−1−521−521−521+521+52−1+52−1−522-2-21−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000−1+52−1−521−521+52000000000
χ282222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-222−1+52−1−521−521−521+521+52−1+52−1−52-22-21−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000000001−521+52−1+52−1−520000000002222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-222−1+52−1−521−521−521+521+52−1+52−1−52-22-21−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000000001−521+52−1+52−1−52000000000
χ292222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-222-2-2−1+52−1−521−521−521+521+52−1+52−1−52-2221−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000001−521+52−1+52−1−520000000002222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-222-2-2−1+52−1−521−521−521+521+52−1+52−1−52-2221−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000001−521+52−1+52−1−52000000000
χ302222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-222−1+52−1−521−521−521+521+52−1+52−1−522-221−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000−1+52−1−521−521+520000000002222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-222−1+52−1−521−521−521+521+52−1+52−1−522-221−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000−1+52−1−521−521+52000000000
χ312222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-222-2-2−1−52−1+521+521+521−521−52−1−52−1+522-2-21+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000−1−52−1+521+521−520000000002222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-222-2-2−1−52−1+521+521+521−521−52−1−52−1+522-2-21+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000−1−52−1+521+521−52000000000
χ322222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-222−1−52−1+521+521+521−521−52−1−52−1+52-22-21+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000001+521−52−1−52−1+520000000002222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-222−1−52−1+521+521+521−521−52−1−52−1+52-22-21+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000001+521−52−1−52−1+52000000000
χ332222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-222-2-2−1−52−1+521+521+521−521−52−1−52−1+52-2221+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000001+521−52−1−52−1+520000000002222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-222-2-2−1−52−1+521+521+521−521−52−1−52−1+52-2221+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000001+521−52−1−52−1+52000000000
χ342222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-222−1−52−1+521+521+521−521−52−1−52−1+522-221+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000−1−52−1+521+521−520000000002222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-222−1−52−1+521+521+521−521−52−1−52−1+522-221+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000−1−52−1+521+521−52000000000
χ352222-2-2-2-2222222220020000-2-2-2-2-2-2-2-200022000000000000000022-2-20000000000-22000002222-2-2-2-2222222220020000-2-2-2-2-2-2-2-200022000000000000000022-2-20000000000-2200000
χ362222-2-2-2-2222222220020000-2-2-2-2-2-2-2-2000220000000000000000-2-22200000000002-2000002222-2-2-2-2222222220020000-2-2-2-2-2-2-2-2000220000000000000000-2-22200000000002-200000
χ3722-2-2002-2222-22-2-2-22-200000220000-2-2000002-22-2000000000000000022-2-200002-2000000022-2-2002-2222-22-2-2-22-200000220000-2-2000002-22-2000000000000000022-2-200002-20000000
χ3822-2-2002-2222-22-2-2-22-200000220000-2-2000002-22-20000000000000000-2-2220000-22000000022-2-2002-2222-22-2-2-22-200000220000-2-2000002-22-20000000000000000-2-2220000-220000000
χ3922-2-2002-2222-22-2-2-2-2200000220000-2-200000-22-22000000000000000022-2-20000-22000000022-2-2002-2222-22-2-2-2-2200000220000-2-200000-22-22000000000000000022-2-20000-220000000
χ4022-2-2002-2222-22-2-2-2-2200000220000-2-200000-22-220000000000000000-2-22200002-2000000022-2-2002-2222-22-2-2-2-2200000220000-2-200000-22-220000000000000000-2-22200002-20000000
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χ13144-4-400-44−1+5−1−5−1+51−5−1−51+51−51+500000001−51+50000−1+5−1−5000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ1400000000000000000000000000000-4-444004-41−51+51−5−1+51+5−1−5−1+5−1−50000000−1+5−1−500001−51+50000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ1400000000000000000000000000000
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χ1458-8-880000−2+25−2−252−25−2+252+25−2−252−252+25000000000000000000000000000000000000000000000000000000000-888-800002−252+25−2+252−25−2−252+25−2+25−2−25000000000000000000000000000000000000000000000000000000000
χ1468-8-880000−2−25−2+252+25−2−252−25−2+252+252−25000000000000000000000000000000000000000000000000000000000-888-800002+252−25−2−252+25−2+252−25−2−25−2+25000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.