Finite Group Databasebeta

← Group #12978112

Character table — Group #12978112

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155
size1111222222222222222222222222222244444444444444444444444444444444444444444444444444444444444448888888888888888888888888888888888888888882020202020202020404040404040404040404040
order1222222222444444551010101010102020202020202020224444444444410101010101010101010101020202020202020202020202020202020202020202020202020202020202020202020202024444410101010101010102020202020202020202020202020202020202020202020202020202044448888444444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1111111-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1111111-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111
χ511111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-111-1-11-111-1-1
χ611111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-1-111-11-1-111
χ711111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1111-111-1-1-11-1-111
χ811111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-11-1-1111-111-1-1
χ9111111-1-111-1-1111111111111111111111-1-1111-11-1-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-11-1-11-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11-11-1-1-11-11-1
χ10111111-1-111-1-1111111111111111111111-1-1111-11-1-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-11-1-11-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1111-11-11
χ11111111-1-111-1-1111111111111111111111-1-1-1-11-11-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11-11-111-11-11
χ12111111-1-111-1-1111111111111111111111-1-1-1-11-11-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-11-11-1-11-11-1
χ13111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111111-1-11-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11-11-11-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-111-1-11-111-1-11
χ14111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111111-1-11-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11-11-11-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-1111-1-111-11-1-111-1
χ15111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-11-1-11-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-11-11-1-1-111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-111-1-111-1-111-1
χ16111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-11-1-11-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-11-11-1-1-111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-111-1-111-1-11
χ171111-1-11111-1-111111111111111111111-11-111-11-11-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-11-1-11-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-11-11-1-1-11-11
χ181111-1-11111-1-111111111111111111111-11-111-11-11-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-11-1-11-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-11-1111-11-1
χ191111-1-11111-1-111111111111111111111-11-1-1-1-11-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-11-11111-11-1
χ201111-1-11111-1-111111111111111111111-11-1-1-1-11-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111111-11-1-1-1-11-11
χ211111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1111-111-1-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1111111-1-111-1-1-11-111-1-11-111-1
χ221111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1111-111-1-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-111-1-1111-11-1-111-11-1-11
χ231111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-1-1-111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1111-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-11-111-11-11-1-11
χ241111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-1-1-111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1111-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11-11-1-11-11-111-1
χ251111-1-1-1-1111111111111111111111111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1
χ261111-1-1-1-1111111111111111111111111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111
χ271111-1-1-1-1111111111111111111111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111
χ281111-1-1-1-1111111111111111111111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ291111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-11-1-1-1111-1-1-111
χ301111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1111-1-1-1111-1-1
χ311111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1111-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1-111-1111-1-1
χ321111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1111-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1111-1-11-1-1-111
χ332222222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+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+52−1−52−1−5200000000000000000000
χ342222222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222-2-2222222-2-2−1+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+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000000000
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+522222222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+5200000000000000000000
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+52222-2-2222222-2-2−1−52−1−52−1+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+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000000000
χ37222222222222-2-2-2-222222222-2-2-2-2-2-2-2-222200-2-2-2-2-2-200222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000022220000-2-2-2-2-2-2220000000000000000000000000000000000000000
χ38222222222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+5222200-2-2-2-2-2-200−1+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+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18000000−1+52−1−52−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ181−521+521−521+521−521+52−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800000000000000000000
χ39222222222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+5222200-2-2-2-2-2-200−1+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+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18000000−1+52−1−52−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ181−521+521−521+521−521+52−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800000000000000000000
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.