Finite Group Databasebeta

← Group #12978013

Character table — Group #12978013

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134
size111122222222222244444444444888888888888888888888881616161620202020202020202020404040111122222222222244444444444888888888888888888888881616161620202020202020202020404040
order1222444455101010101010444202020202020202024488101010102020202020204040404040404040202020202244448888244222244441010101010101010444202020202020202024488101010102020202020204040404040404040202020202244448888244
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111
χ41111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1
χ511111111111111111-1-111111111-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-11-1-111111111111111111-1-111111111-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-11-1-1
χ611111111111111111-1-111111111-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-11111111111111111111-1-111111111-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-111
χ711111111111111111-1-111111111-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-11111-1-1-111111111111111111-1-111111111-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-11111-1-1-1
χ811111111111111111-1-111111111-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111-1-111111111-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1111
χ91111-1-11111111111-11111-1-1-1-111-11-11-1-1-1-1-11111-1-11111-1-1-1-111-1-11-11-111-1-111-11-11111-1-11111111111-11111-1-1-1-111-11-11-1-1-1-1-11111-1-11111-1-1-1-111-1-11-11-111-1-111-11-1
χ101111-1-11111111111-11111-1-1-1-111-11-11-1-1-1-1-11111-1-11111-1-1-1-111-1-1-11-11-1-111-1-11-111111-1-11111111111-11111-1-1-1-111-11-11-1-1-1-1-11111-1-11111-1-1-1-111-1-1-11-11-1-111-1-11-11
χ111111-1-11111111111-11111-1-1-1-111-1-11-11-1-1-1-11111-1-1-1-1-1-11111-1-1111-11-1-1-111-1-111-11111-1-11111111111-11111-1-1-1-111-1-11-11-1-1-1-11111-1-1-1-1-1-11111-1-1111-11-1-1-111-1-111-1
χ121111-1-11111111111-11111-1-1-1-111-1-11-11-1-1-1-11111-1-1-1-1-1-11111-1-111-11-1111-1-111-1-111111-1-11111111111-11111-1-1-1-111-1-11-11-1-1-1-11111-1-1-1-1-1-11111-1-111-11-1111-1-111-1-11
χ131111-1-11111111111-1-1-111-1-1-1-11111-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-11-11-11111-1-1-1-111111-1-11111111111-1-1-111-1-1-1-11111-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-11-11-11111-1-1-1-11
χ141111-1-11111111111-1-1-111-1-1-1-11111-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-11-11-1-1-1-11111-11111-1-11111111111-1-1-111-1-1-1-11111-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-11-11-1-1-1-11111-1
χ151111-1-11111111111-1-1-111-1-1-1-1111-111-11111-1-1-1-1-1-11111-1-1-1-1-1-1111-11-1-1-1-1-1111-111111-1-11111111111-1-1-111-1-1-1-1111-111-11111-1-1-1-1-1-11111-1-1-1-1-1-1111-11-1-1-1-1-1111-11
χ161111-1-11111111111-1-1-111-1-1-1-1111-111-11111-1-1-1-1-1-11111-1-1-1-1-1-111-11-111111-1-1-11-11111-1-11111111111-1-1-111-1-1-1-1111-111-11111-1-1-1-1-1-11111-1-1-1-1-1-111-11-111111-1-1-11-1
χ1722222222−1+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+52−1−5222222−1+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+52−1−52−1−52−1+52−1−52−1+52−1−52000000000000022222222−1+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+52−1−5222222−1+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+52−1−52−1−52−1+52−1−52−1+52−1−520000000000000
χ1822222222−1+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+52−1−522-2-2-2-2−1+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+521−521+521−521+52000000000000022222222−1+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+52−1−522-2-2-2-2−1+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+521−521+521−521+520000000000000
χ1922222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-222-2-21−521−521+521+521−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52000000000000022222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-222-2-21−521−521+521+521−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−520000000000000
χ2022222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2221−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+52000000000000022222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2221−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+520000000000000
χ2122222222−1−52−1+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+5222222−1−52−1−52−1+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+52−1−52−1+52−1−52−1+52000000000000022222222−1−52−1+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+5222222−1−52−1−52−1+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+52−1−52−1+52−1−52−1+520000000000000
χ2222222222−1−52−1+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+522-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521−521+521−52000000000000022222222−1−52−1+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+522-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521−521+521−520000000000000
χ2322222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-222-2-21+521+521−521−521+521+521−521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52000000000000022222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-222-2-21+521+521−521−521+521+521−521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+520000000000000
χ2422222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2221+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−52000000000000022222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2221+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−520000000000000
χ25222222-2-222222222-200-2-22222-2-20000000000000-2-200000000000022-2-2000000000222222-2-222222222-200-2-22222-2-20000000000000-2-200000000000022-2-2000000000
χ26222222-2-222222222-200-2-22222-2-20000000000000-2-2000000000000-2-222000000000222222-2-222222222-200-2-22222-2-20000000000000-2-2000000000000-2-222000000000
χ272222-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-222−1+52−1−521−521−521+521+52−1+52−1−52-22-22-21−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521+5200000000000002222-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-222−1+52−1−521−521−521+521+52−1+52−1−52-22-22-21−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521+520000000000000
χ282222-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-222−1+52−1−521−521−521+521+52−1+52−1−52-2-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−5200000000000002222-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-222−1+52−1−521−521−521+521+52−1+52−1−52-2-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−520000000000000
χ292222-2-222−1+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+52−1+52−1−5222-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+5200000000000002222-2-222−1+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+52−1+52−1−5222-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+520000000000000
χ302222-2-222−1+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+52−1+52−1−522-222-2−1+52−1+52−1−52−1−521−521−521+521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521+52−1+52−1−5200000000000002222-2-222−1+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+52−1+52−1−522-222-2−1+52−1+52−1−52−1−521−521−521+521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521+52−1+52−1−520000000000000
χ312222-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-222−1−52−1+521+521+521−521−52−1−52−1+52-22-22-21+521+521−521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521−5200000000000002222-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-222−1−52−1+521+521+521−521−52−1−52−1+52-22-22-21+521+521−521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521−520000000000000
χ322222-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-222−1−52−1+521+521+521−521−52−1−52−1+52-2-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521−52−1−52−1+5200000000000002222-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-222−1−52−1+521+521+521−521−52−1−52−1+52-2-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521−52−1−52−1+520000000000000
χ332222-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2−1−52−1+521+521+521−521−52−1−52−1+5222-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−5200000000000002222-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2−1−52−1+521+521+521−521−52−1−52−1+5222-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−520000000000000
χ342222-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2−1−52−1+521+521+521−521−52−1−52−1+522-222-2−1−52−1−52−1+52−1+521+521+521−521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521−52−1−52−1+5200000000000002222-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2−1−52−1+521+521+521−521−52−1−52−1+522-222-2−1−52−1−52−1+52−1+521+521+521−521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521−52−1−52−1+520000000000000
χ352222-2-2-2-222222222200-2-2-2-2-2-2-2-20000000000000220000000000002-2-220000000002222-2-2-2-222222222200-2-2-2-2-2-2-2-20000000000000220000000000002-2-22000000000
χ362222-2-2-2-222222222200-2-2-2-2-2-2-2-2000000000000022000000000000-222-20000000002222-2-2-2-222222222200-2-2-2-2-2-2-2-2000000000000022000000000000-222-2000000000
χ372-22-200-222222-2-2-2-202i−2i-2-20000220000000002i−2i2i−2i0000000000000000002i−2i002-20002-22-200-222222-2-2-2-202i−2i-2-20000220000000002i−2i2i−2i0000000000000000002i−2i002-2000
χ382-22-200-222222-2-2-2-202i−2i-2-20000220000000002i−2i2i−2i000000000000000000−2i2i00-220002-22-200-222222-2-2-2-202i−2i-2-20000220000000002i−2i2i−2i000000000000000000−2i2i00-22000
χ392-22-200-222222-2-2-2-20−2i2i-2-2000022000000000−2i2i−2i2i0000000000000000002i−2i00-220002-22-200-222222-2-2-2-20−2i2i-2-2000022000000000−2i2i−2i2i0000000000000000002i−2i00-22000
χ402-22-200-222222-2-2-2-20−2i2i-2-2000022000000000−2i2i−2i2i000000000000000000−2i2i002-20002-22-200-222222-2-2-2-20−2i2i-2-2000022000000000−2i2i−2i2i000000000000000000−2i2i002-2000
χ41444444-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-4001−51+5−1+5−1+5−1−5−1−51−51+500000000000001−51+50000000000000000000000000444444-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-4001−51+5−1+5−1+5−1−5−1−51−51+500000000000001−51+50000000000000000000000000
χ42444444-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-4001+51−5−1−5−1−5−1+5−1+51+51−500000000000001+51−50000000000000000000000000444444-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-4001+51−5−1−5−1−5−1+5−1+51+51−500000000000001+51−50000000000000000000000000
χ434444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−54001−51+51−51−51+51+51−51+50000000000000−1+5−1−500000000000000000000000004444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−54001−51+51−51−51+51+51−51+50000000000000−1+5−1−50000000000000000000000000
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χ1304-4-44-4400−1+5−1−51−51+5−1+5−1−51−51+5000001−5−1+51+5−1−500000000000000000−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ3900000000000000000-444-44-4001−51+5−1+5−1−51−51+5−1+5−1−500000−1+51−5−1−51+500000000000000000ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ3900000000000000000
χ1314-4-44-4400−1−5−1+51+51−5−1−5−1+51+51−5000001+5−1−51−5−1+500000000000000000−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ3700000000000000000-444-44-4001+51−5−1−5−1+51+51−5−1−5−1+500000−1−51+5−1+51−500000000000000000ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ3700000000000000000
χ1324-4-44-4400−1−5−1+51+51−5−1−5−1+51+51−5000001+5−1−51−5−1+500000000000000000ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ3700000000000000000-444-44-4001+51−5−1−5−1+51+51−5−1−5−1+500000−1−51+5−1+51−500000000000000000−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ3700000000000000000
χ13388-8-80000−2+25−2−252−252+252−252+25−2+25−2−25000000000000000000000000000000000000000000000000000-8-88800002−252+25−2+25−2−25−2+25−2−252−252+25000000000000000000000000000000000000000000000000000
χ13488-8-80000−2−25−2+252+252−252+252−25−2−25−2+25000000000000000000000000000000000000000000000000000-8-88800002+252−25−2−25−2+25−2−25−2+252+252−25000000000000000000000000000000000000000000000000000

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