Finite Group Databasebeta

← Group #12975482

Character table — Group #12975482

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size1122222222222444444444444444444448888888888888888888888888882020202040404040404011222222222224444444444444444444488888888888888888888888888820202020404040404040
order1224455101020202020224488881010202040404040404040404881010101020202020202020204040404040404040404040402244222488222441010101020202020224488881010202040404040404040404881010101020202020202020204040404040404040404040402244222488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-1-11-111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-1-11-1
χ411111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-111-1111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-111-11
χ511111111111111-11-111-1-1111111111111-11-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-11-1-1-111111111111111-11-111-1-1111111111111-11-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-11-1-1-1
χ611111111111111-11-111-1-1111111111111-11-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111111111111-11-111-1-1111111111111-11-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111
χ711111111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-11-1111-1-111-1-11111-1-1-1-11111-1-1-1-11-11-11-1-11-1111111111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-11-1111-1-111-1-11111-1-1-1-11111-1-1-1-11-11-11-1-11-11
χ811111111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-11-1111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-11-111-11-111111111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-11-1111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-11-111-11-1
χ91111111111111-11-1111-1-1111111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-1-11111111111111-11-1111-1-1111111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-1-1
χ101111111111111-11-1111-1-1111111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1111111111111111-11-1111-1-1111111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-111
χ111111111111111-11-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-111-1-11111111111-1-1-1-1-1-1-1-11-11-1-111-1-111111111111111-11-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-111-1-11111111111-1-1-1-1-1-1-1-11-11-1-111-1-11
χ121111111111111-11-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-11-111-1-111-11111111111111-11-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-11-111-1-111-1
χ131111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ141111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ151111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-1-1-1111-11111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-1-1-1111-1
χ161111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-1111-1-1-111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-1111-1-1-11
χ1722222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222222222−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52000000000022222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222222222−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−520000000000
χ1822222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222-2-222−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2-2−1+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+52−1+52−1+52−1−52−1−52000000000022222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222-2-222−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2-2−1+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+52−1+52−1+52−1−52−1−520000000000
χ1922222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-22-222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22-2−1+52−1−521−521+52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000022222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-22-222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22-2−1+52−1−521−521+52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000
χ2022222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-22-2-2-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+522-22−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000022222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-22-2-2-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+522-22−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000
χ2122222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-22-2222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-221−521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000022222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-22-2222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-221−521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000
χ2222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-22-22-2-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222-21−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000022222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-22-22-2-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222-21−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000
χ2322222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-21−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000022222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-21−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000
χ2422222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-222−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2221−521+521−521+521−521+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+52−1−52−1−52000000000022222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-222−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2221−521+521−521+521−521+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+52−1−52−1−520000000000
χ2522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000022222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000
χ2622222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222-2-222−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000022222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222-2-222−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000
χ2722222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-22-222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-22-2−1−52−1+521+521−52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000022222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-22-222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-22-2−1−52−1+521+521−52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000
χ2822222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-22-2-2-2-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−522-22−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000022222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-22-2-2-2-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−522-22−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000
χ2922222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-22-2222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-221+521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000022222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-22-2222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-221+521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000
χ3022222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-22-22-2-2-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222-21+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000022222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-22-22-2-2-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222-21+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000
χ3122222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-21+521−521+521−521+521−521+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+52000000000022222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-21+521−521+521−521+521−521+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+520000000000
χ3222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-222−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2221+521−521+521−521+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000022222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-222−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2221+521−521+521−521+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000
χ3322-22-22222222200002-200-2-2-2-222-2-222-2-200000000000000000000000000022-2-200000022-22-22222222200002-200-2-2-2-222-2-222-2-200000000000000000000000000022-2-2000000
χ3422-22-22222222200002-200-2-2-2-222-2-222-2-2000000000000000000000000000-2-22200000022-22-22222222200002-200-2-2-2-222-2-222-2-2000000000000000000000000000-2-222000000
χ3522-22-2222222220000-2200-2-2-2-2-2-222-2-2220000000000000000000000000002-2-2200000022-22-2222222220000-2200-2-2-2-2-2-222-2-2220000000000000000000000000002-2-22000000
χ3622-22-2222222220000-2200-2-2-2-2-2-222-2-222000000000000000000000000000-222-200000022-22-2222222220000-2200-2-2-2-2-2-222-2-222000000000000000000000000000-222-2000000
χ3722-2-222222-2-2-2-222-2-2002-2-2-222000000000002222-2-2-2-20000000000002-22-2000000000022-2-222222-2-2-2-222-2-2002-2-2-222000000000002222-2-2-2-20000000000002-22-20000000000
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χ131444-4-4−1−5−1+5−1−5−1+51+51+51−51−500000000−1−5−1+51+51−5−2ζ3+2ζ72ζ3−2ζ72ζ3−2ζ7−2ζ3+2ζ7−2ζ11+2ζ192ζ11−2ζ192ζ11−2ζ19−2ζ11+2ζ190000000000000000000000000000000000000-4-4-4441+51−51+51−5−1−5−1−5−1+5−1+5000000001+51−5−1−5−1+52ζ3−2ζ7−2ζ3+2ζ7−2ζ3+2ζ72ζ3−2ζ72ζ11−2ζ19−2ζ11+2ζ19−2ζ11+2ζ192ζ11−2ζ190000000000000000000000000000000000000
χ13244-44-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−500004-4001−51+51−51+5−1+5−1+51−51−5−1−5−1−51+51+50000000000000000000000000000000000000-4-44-441−51+51−51+51−51−51+51+50000-4400−1+5−1−5−1+5−1−51−51−5−1+5−1+51+51+5−1−5−1−50000000000000000000000000000000000000
χ13344-44-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−50000-44001−51+51−51+51−51−5−1+5−1+51+51+5−1−5−1−50000000000000000000000000000000000000-4-44-441−51+51−51+51−51−51+51+500004-400−1+5−1−5−1+5−1−5−1+5−1+51−51−5−1−5−1−51+51+50000000000000000000000000000000000000
χ13444-44-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+500004-4001+51−51+51−5−1−5−1−51+51+5−1+5−1+51−51−50000000000000000000000000000000000000-4-44-441+51−51+51−51+51+51−51−50000-4400−1−5−1+5−1−5−1+51+51+5−1−5−1−51−51−5−1+5−1+50000000000000000000000000000000000000
χ13544-44-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+50000-44001+51−51+51−51+51+5−1−5−1−51−51−5−1+5−1+50000000000000000000000000000000000000-4-44-441+51−51+51−51+51+51−51−500004-400−1−5−1+5−1−5−1+5−1−5−1−51+51+5−1+5−1+51−51−50000000000000000000000000000000000000
χ1368-800088-8-80000000000000000000000000000000000000000000000000000000000000-88000-8-8880000000000000000000000000000000000000000000000000000000000000
χ1378-8000−2+25−2−252−252+25−4ζ11+4ζ194ζ11−4ζ194ζ3−4ζ7−4ζ3+4ζ7000000000000000000000000000000000000000000000000000000000-880002−252+25−2+25−2−254ζ11−4ζ19−4ζ11+4ζ19−4ζ3+4ζ74ζ3−4ζ7000000000000000000000000000000000000000000000000000000000
χ1388-8000−2+25−2−252−252+254ζ11−4ζ19−4ζ11+4ζ19−4ζ3+4ζ74ζ3−4ζ7000000000000000000000000000000000000000000000000000000000-880002−252+25−2+25−2−25−4ζ11+4ζ194ζ11−4ζ194ζ3−4ζ7−4ζ3+4ζ7000000000000000000000000000000000000000000000000000000000
χ1398-8000−2−25−2+252+252−254ζ3−4ζ7−4ζ3+4ζ74ζ11−4ζ19−4ζ11+4ζ19000000000000000000000000000000000000000000000000000000000-880002+252−25−2−25−2+25−4ζ3+4ζ74ζ3−4ζ7−4ζ11+4ζ194ζ11−4ζ19000000000000000000000000000000000000000000000000000000000
χ1408-8000−2−25−2+252+252−25−4ζ3+4ζ74ζ3−4ζ7−4ζ11+4ζ194ζ11−4ζ19000000000000000000000000000000000000000000000000000000000-880002+252−25−2−25−2+254ζ3−4ζ7−4ζ3+4ζ74ζ11−4ζ19−4ζ11+4ζ19000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1).