Finite Group Databasebeta

← Group #12979372

Character table — Group #12979372

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size1111222222222222224444444444444444444444444444444444444444444444444444888888888888888888888888888888888888888888888888882020202020202020404040404040404040404040
order1222224444551010101010104444444444444444101010102020202020202020202020202020202020202020202020202020202020202020222244101010101010101010101010101010102020202020202020202020202020202020202020202020202020202022228888444444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-1111111-1-1-1-111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1
χ611111111111111111111-1-1-1-1111111-1-1-1-111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1
χ9111111111111111111-1-111-1-11111-1-111-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-11-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111-1-1-11-1-1-111-1-1
χ10111111111111111111-1-111-1-11111-1-111-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-11-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1111-1-111
χ11111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-1-11-111-1-111
χ12111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1111-11-1-111-1-1
χ13111111111111111111-1-1-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-11-1-1-11-1-1-1-111
χ14111111111111111111-1-1-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1111-11111-1-1
χ15111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-1-111111-1-1
χ16111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1111-1-1-1-1-111
χ171111-1-1-1-111111111111-11-11-111-1-11-11-11-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11-11-1-111-11-11-1
χ181111-1-1-1-111111111111-11-11-111-1-11-11-11-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-11-111-1-11-11-11
χ191111-1-1-1-111111111111-11-11-1-1-1111-11-11-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-11111111111-1-111-1-111-1-1-1-1111-11-1-11-11-11-11
χ201111-1-1-1-111111111111-11-11-1-1-1111-11-11-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-11111111111-1-111-1-1-1-11111-1-1-11-111-11-11-11-1
χ211111-1-1-1-111111111111-1-11-1111-1-11-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111111111-1-111-1-11111-1-111-1-1-111-11-11-1-11-11
χ221111-1-1-1-111111111111-1-11-1111-1-11-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111111111-1-111-1-111-1-111-1-1111-1-11-11-111-11-1
χ231111-1-1-1-111111111111-1-11-11-1-1111-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-1-1-1-1-111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-111-11-1-111-11-1
χ241111-1-1-1-111111111111-1-11-11-1-1111-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-1-1-1-1-111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-11-1-11-111-1-11-11
χ251111-1-1-1-11111111111-111-1-1111-1-1-111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-11-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-111-1-111-11-1-1-111-1-11
χ261111-1-1-1-11111111111-111-1-1111-1-1-111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-11-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-11-1111-1-111-1
χ271111-1-1-1-11111111111-111-1-11-1-111-111-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-111-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-11111-11-1-11-1-111-1
χ281111-1-1-1-11111111111-111-1-11-1-111-111-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-111-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-111-111-1-11
χ291111-1-1-1-11111111111-11-111-111-1-1-11-111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-111-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1111-11-111-1
χ301111-1-1-1-11111111111-11-111-111-1-1-11-111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-111-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111111-1-1-11-11-1-11
χ311111-1-1-1-11111111111-11-111-1-1-111-11-111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11-1-111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1-11111-11-1-11
χ321111-1-1-1-11111111111-11-111-1-1-111-11-111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11-1-111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1111-1-1-1-11-111-1
χ332222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+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+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000000000
χ342222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222-2-2-2-2222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52-2-2-2-2-2-21−521−521+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+52−1−52−1+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+52−1−5200000000000000000000
χ352222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2222222-2-2-2-2−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+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+5200000000000000000000
χ362222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2-2-2-2-222-2-2-2-2−1+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+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-222221−521−521+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+52−1−521−521+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+5200000000000000000000
χ372222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-22222-2-222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+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+52−1−52−1−52−1−52−1−52-2-22-22-21−521−521+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+52−1−521−521+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+5200000000000000000000
χ382222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-2-2-2-2-2-2-222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5222-22-22−1+52−1+52−1−52−1−52−1+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+52−1−521−521+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+5200000000000000000000
χ392222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2222222-2-2-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+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+52−1−52−1−52−1−52−1−52-2-2-22-221−521−521+521+521−521−521+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+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000000000
χ402222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222-2-2-2-2-2-2-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52222-22-2−1+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+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+52−1−5200000000000000000000
χ412222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222222222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000000000
χ422222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222-2-2-2-2222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2-2-2-2-21+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+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+5200000000000000000000
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χ12444-4-4-444-44-4−1+5−1−5−1+51−5−1−51+51−51+500000000000000001−5−1+51+5−1−51−5−1+51+5−1−5−1+51−5−1−51+5000000002ζ11−2ζ19−2ζ11+2ζ19−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ7−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ192ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ72ζ3−2ζ7−2ζ3+2ζ70000000000000000000000000000000000000000000000000000000000000000000000
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χ12844-4-4-44-44-44−1+5−1−5−1+51−5−1−51+51−51+5000000−4i4i4i−4i0000001−5−1+51+5−1−5−1+51−5−1−51+51−5−1+51+5−1−5000000002ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ7−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ70000000000000000000000000000000000000000000000000000000000000000000000
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χ1318-88-800000088-8-8-8-88800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-88-8000000−2+25−2−252−252−252+252+25−2+25−2−2500000000000000000000000000004ζ6−4ζ14−4ζ6+4ζ14−4ζ2+4ζ184ζ2−4ζ18000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1338-88-8000000−2+25−2−252−252−252+252+25−2+25−2−250000000000000000000000000000−4ζ6+4ζ144ζ6−4ζ144ζ2−4ζ18−4ζ2+4ζ18000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1358-88-8000000−2−25−2+252+252+252−252−25−2−25−2+2500000000000000000000000000004ζ2−4ζ18−4ζ2+4ζ184ζ6−4ζ14−4ζ6+4ζ14000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1408-8-88000000−2−25−2+252+25−2−252−25−2+252+252−2500000000000000000000000000000000−4ζ3+4ζ74ζ3−4ζ7−4ζ11+4ζ194ζ11−4ζ1900000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.