Finite Group Databasebeta

← Group #12977271

Character table — Group #12977271

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119
size1111222222222222224444444444444444444444888888888888888888888888888888888888888881010161616161616161616161616202020202020202020202020202020202040404040404040
order1222224444551010101010102222224488101010102020202020202020224444888101010101010101010101010101010102020202020202020404040404040404044101020202020202040404040224444444448888882444448
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11111111111111-1-1-11-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1-1-1-1-11111-1-1-1
χ411111111111111111111111111-1-11111111111111-1-1-11-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111111-1-1-1-1111
χ51111111111111111111111-1-1-1-111111111111111-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-1-111-1-1-1-1-1-111111
χ61111111111111111111111-1-1-1-111111111111111-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-111-1-1111111-1-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-1111111111111-11-1-1-1111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1111-1-11111-1-111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1111111111111-11-1-1-1111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-111-1-1-1-111-1-1111
χ9111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1111-1-1111111-1-1-1-1-1-11
χ10111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-111-1-1-1-1-1-1111111-1
χ11111111111111111111-1-1-1-11111-1-1111111111111-1111-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1
χ12111111111111111111-1-1-1-11111-1-1111111111111-1111-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11
χ13111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-11111-1-111111-1-1-1-111-1-1-1-11
χ14111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-11111-1-11111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1111-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-111-1-1-1-11-1-1-1-1111111-1-111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1111-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-11111-11111-1-1-1-1-1-111-1-11
χ171111-1-1-1-1111111111111-1-11-11-111-1-1-1-1-1-1-1-11111111-1-1-11-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-11-11-1-1-11-1-1111111-1-1-111-11-1-1
χ181111-1-1-1-1111111111111-1-11-11-111-1-1-1-1-1-1-1-11111111-1-1-11-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-11-1111-111-1-1-1-1-1-1111-1-11-111
χ191111-1-1-1-1111111111111-1-11-11-1-1-1-1-1-1-1-1-1-1-111111-1-11-11-1111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1111-11-1111-1-1-1-1-1-1-1-111-111-1-111
χ201111-1-1-1-1111111111111-1-11-11-1-1-1-1-1-1-1-1-1-1-111111-1-11-11-1111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-11-11-1-1-111111111-1-11-1-111-1-1
χ211111-1-1-1-1111111111111-1-1-11-1111-1-1-1-1-1-1-1-11111-1-11-111-11-11111-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-111-1-111-111-111-11-1-1-111-1-1111-11-11-1-1
χ221111-1-1-1-1111111111111-1-1-11-1111-1-1-1-1-1-1-1-11111-1-11-111-11-11111-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1111-1-11-1-11-1111-1-111-1-1-11-11-111
χ231111-1-1-1-1111111111111-1-1-11-11-1-1-1-1-1-1-1-1-1-11111-11-111-11-111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1-111-1-1-111-1-1-1-11-111-1-111-1-11-11-1-111
χ241111-1-1-1-1111111111111-1-1-11-11-1-1-1-1-1-1-1-1-1-11111-11-111-11-111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-111-1-11-1-11111-11-1-111-1-111-11-111-1-1
χ251111-1-1-1-11111111111-1-1111-11-111-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111111111-1-1-1-111-1-1-1-1111111-1-11-11-1111-1-1-1-11111-1-11-1-11-11-1
χ261111-1-1-1-11111111111-1-1111-11-111-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-11-11-1-1-11111-1-1-1-111-111-11-11
χ271111-1-1-1-11111111111-1-1111-11-1-1-1-1-1-1-1-1-1-1-11111-111-11-1-111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1-1-1-1111-11-1-1-11-1-111-1-1-1-1111-1-111-11
χ281111-1-1-1-11111111111-1-1111-11-1-1-1-1-1-1-1-1-1-1-11111-111-11-1-111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111-11-1111-111-1-11111-1-1-111-1-11-1
χ291111-1-1-1-11111111111-1-111-11-1111-1-1-1-1-1-1-1-1111111-11-1-1-11-1-1-1-1-11111-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-111-1-1-1-11-11111-1-111-11-11-11-1
χ301111-1-1-1-11111111111-1-111-11-1111-1-1-1-1-1-1-1-1111111-11-1-1-11-1-1-1-1-11111-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1111-1-11111-11-1-1-1-111-1-11-11-11-11
χ311111-1-1-1-11111111111-1-111-11-11-1-1-1-1-1-1-1-1-1-111111-11-1-111-11-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-111-111-11-1-1-1-1-111-1-1-11-111-11
χ321111-1-1-1-11111111111-1-111-11-11-1-1-1-1-1-1-1-1-1-111111-11-1-111-11-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-11-1-11-1-11-111111-1-1111-11-1-11-1
χ332222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222222222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000000
χ342222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222222222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-2-22-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+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+52001−521+521−521+521−521+521−521+521−521+521−521+52000000000000000000000000
χ352222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222-2-2-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222-2-2-2-22−1+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+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52001−521+52−1+52−1−52−1+52−1−521−521+521−521+521−521+52000000000000000000000000
χ362222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-22-2-2-2222-2−1+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+521−521−521+521+521−521−521+521+521−521−521+521+5200−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000000
χ372222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-22221−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000000
χ382222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-22222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2222-22-2-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+5200−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000000
χ392222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-222-2-221−521−521+521+521−521−521+521+521−521+521−521+52−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+52000000000000000000000000
χ402222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2222-222-21−521−521+521+521−521−521+521+521−521+521−521+52−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52001−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−52000000000000000000000000
χ412222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222222−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000000000
χ422222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2-2-22-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52001+521−521+521−521+521−521+521−521+521−521+521−52000000000000000000000000
χ432222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222-2-2-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-222-2-2-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521+521−521−521+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52001+521−52−1−52−1+52−1−52−1+521+521−521+521−521+521−52000000000000000000000000
χ442222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-22-2-2-2222-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521+521−521−521+521−521+521−521+521+521−521−521+521+521−521−521+521+521−521−5200−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000000000
χ452222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-22221+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000000000
χ462222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-22222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2222-22-2-2-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−5200−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000000000
χ472222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-222-2-221+521+521−521−521+521+521−521−521+521−521+521−52−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−52000000000000000000000000
χ482222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2222-222-21+521+521−521−521+521+521−521−521+521−521+521−52−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52001+521−52−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+52000000000000000000000000
χ49222222-2-2-2-22222222200002-2-22002222-2-2-2-2-2-2-2-20000000000000000022-2-20000-2-22200000000000022000000000000-22-2-2002-22000000000000000
χ50222222-2-2-2-22222222200002-2-22002222-2-2-2-2-2-2-2-20000000000000000022-2-20000-2-222000000000000-2-20000000000002-22200-22-2000000000000000
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χ11388-8-8000000−2−25−2+252+252−25−2−25−2+252+252−250000000042−420000000000000000000000000000000000000000000002ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ37000000000000000000000000000000000000000000
χ11488-8-8000000−2−25−2+252+252−25−2−25−2+252+252−2500000000−4242000000000000000000000000000000000000000000000−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37000000000000000000000000000000000000000000
χ1158-8-880000008888-8-8-8-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88000000−2+25−2−25−2+25−2−252−252+252−252+25000000000000000000000000000000000000000000000000000000000002ζ7−2ζ13−2ζ23+2ζ37−2ζ7+2ζ13+2ζ23−2ζ37−2ζ21+2ζ29−2ζ31+2ζ392ζ21−2ζ29+2ζ31−2ζ3900000000000000000000000000000000000000
χ1178-8-88000000−2+25−2−25−2+25−2−252−252+252−252+2500000000000000000000000000000000000000000000000000000000000−2ζ7+2ζ13+2ζ23−2ζ372ζ7−2ζ13−2ζ23+2ζ372ζ21−2ζ29+2ζ31−2ζ39−2ζ21+2ζ29−2ζ31+2ζ3900000000000000000000000000000000000000
χ1188-8-88000000−2−25−2+25−2−25−2+252+252−252+252−2500000000000000000000000000000000000000000000000000000000000−2ζ21+2ζ29−2ζ31+2ζ392ζ21−2ζ29+2ζ31−2ζ39−2ζ7+2ζ13+2ζ23−2ζ372ζ7−2ζ13−2ζ23+2ζ3700000000000000000000000000000000000000
χ1198-8-88000000−2−25−2+25−2−25−2+252+252−252+252−25000000000000000000000000000000000000000000000000000000000002ζ21−2ζ29+2ζ31−2ζ39−2ζ21+2ζ29−2ζ31+2ζ392ζ7−2ζ13−2ζ23+2ζ37−2ζ7+2ζ13+2ζ23−2ζ3700000000000000000000000000000000000000

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