Finite Group Databasebeta

← Group #12980858

Character table — Group #12980858

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146
size11111111222222222222222222222222444444444444444444444444444444888888888888888888888888888888888888888888101010101010101010101010101010101616161616161616202020202020202020202020404040404040
order1222444444444444551010101010102020202020202020244444888888882020202020202020202020202020202024444410101010101020202020202020202020202020204040404040404040404040404040404044444444888888882020202020202020222244448888224444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1
χ5111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1
χ6111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111
χ7111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111111111111111-11111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-1
χ8111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111111111111111-11111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-111
χ91111111111-1-1-1-1111111111111111111-11111-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11-1111-111-1-1-1-11-1-1-11-1
χ101111111111-1-1-1-1111111111111111111-11111-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1-11-1-11111-1111-11
χ111111111111-1-1-1-1111111111111111111-11111-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-11-1-1-111111-1111-1
χ121111111111-1-1-1-1111111111111111111-11111-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-11111-1111-1111-1-1-1-1-11-1-1-11
χ131111111111-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111-1-1-11-1-1-1-1-1-1-1-1111-11
χ141111111111-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1111-111111111-1-1-11-1
χ151111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-11-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1111-1111111-11-1-1-11
χ161111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-11-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-11-1-1-11-1-1-1-1-1-11-1111-1
χ171111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-11-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-11-111-11-1-111-1-11-11-1-11
χ181111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-11-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111-1-1-11-1-11-111-1-111-11-111-1
χ191111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-11-11-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-111-1-1111-1-1-1-1111-1-1111-1-11-11
χ201111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-11-11-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-111-1-111-11111-1-1-111-1-1-111-11-1
χ211111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11-1-111-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-1111-1-1-1-111111-1-1-11-111-1
χ221111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11-1-111-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-111-11111-1-1-1-1-1111-11-1-11
χ231111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-1-111-1-111-1-1-1-11111-1-1-1-11111-11-11-1111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1111111-1-111-1-11-111-11-1-1-1-111-111-11-1
χ241111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-1-111-1-111-1-1-1-11111-1-1-1-11111-11-11-1111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1111111-1-1-1-111-1-111-1-1-11-1-11-11111-1-11-1-11-11
χ251111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-111-1-1-1-1-1-1-1-111111111-11-1-111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-11-1-1
χ261111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-111-1-1-1-1-1-1-1-111111111-11-1-111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-11-111
χ271111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-111-11-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1111-1-1-1
χ281111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-111-11-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1111
χ291111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1111111111-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-111-1-11-111
χ301111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1111111111-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-111-11-1-1
χ311111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-11-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1111
χ321111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-11-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111111-1-1-1
χ332222222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222222222222222−1+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+52−1−52−1−52222222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ342222222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222222-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-2-2-22−1+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+521−521−521+521+521−521−521+521+5200000000000000001−521+521−521+521−521+521−521+52000000000000000000
χ352222222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-2-2-2222222222−1+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+52−1−52−1−52-2-2-2-2-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000001−521+521−521+521−521+521−521+52000000000000000000
χ362222222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-2-2-22-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-22222-2−1+52−1−521−521−521+521+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+521−521−521+521+520000000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ372222222222222222−1−52−1+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+5222222222222222−1−52−1−52−1+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+52222222−1−52−1+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+52−1−52−1−52−1+52−1+520000000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ382222222222222222−1−52−1+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+52222222-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2-2-2-22−1−52−1+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+521−521−521+521+521−521−521+521+521−521−5200000000000000001+521−521+521−521+521−521+521−52000000000000000000
χ392222222222222222−1−52−1+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+522-2-2-2-2222222222−1−52−1−52−1+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+52-2-2-2-2-2-2−1−52−1+521+521+521−521−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000001+521−521+521−521+521−521+521−52000000000000000000
χ402222222222222222−1−52−1+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+522-2-2-2-22-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-22222-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ412222222222-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22222-22222-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-222-2-2-21−521+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+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000
χ422222222222-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22222-2-2-2-2-22222−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-2-2-222-21−521+521−521−521+521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000001−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000
χ432222222222-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2-2-22222-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−522-2-22221−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000001−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000
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χ482222222222-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2-2-2-2-2-2-22222−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52222-2-221+521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+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+520000000000000000−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000
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χ5022222222-2-22222-2-22222222222222222-20000-200000000-2-2-2-222222222-2-2-2-2000000-2-20000-2-20000000000000000000000000000-2-2-2-2-2-2-2-20000000000000000220022000000000000
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χ542222-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-2-2000020000000022222222-2-2-2-2-2-2-2-2000000-2-20000220000000000000000000000000000-2-222-2-22200000000000000002-200-22000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.