Finite Group Databasebeta

← Group #12261998

Character table — Group #12261998

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size11111111222222222222222244444444444444444444444444444455555555888888888888888888888888888888888888888888888888888888888888202020202020202020202020202020202020202020202020202020202020
order1222222255101010101010101010101010101022224444444444444444444444444444444444101010101010101020202020202020202020202020202020202020202020202020202020202020202020202020202020202020202020202020202020222244444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ911111111111111111111111111-1-111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1
χ1011111111111111111111111111-1-111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-111
χ1111111111111111111111111111-1-111-1-1-1-1-1-111-1-111-1-11111-1-111-1-1111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111
χ1211111111111111111111111111-1-111-1-1-1-1-1-111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-1-111111111-1-1
χ1311111111111111111111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-111
χ1411111111111111111111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111111111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1
χ1511111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-111-1-1-1-111-1-1
χ1611111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-11111-1-111
χ17111111111111111111111111-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111
χ18111111111111111111111111-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-111-1-111111111-1-11111-1-1-1-111-1-1-1-1
χ19111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-111-1-1111111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-1-111-1-1-1-1
χ20111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-111-1-11111
χ21111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-1
χ22111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1111111
χ23111111111111111111111111-1-111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1111111
χ24111111111111111111111111-1-111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1
χ25111111111111111111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-1-1
χ26111111111111111111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111
χ27111111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111
χ28111111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-111-1-1
χ29111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111
χ30111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-1
χ31111111111111111111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1
χ32111111111111111111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111-1-1-1-111
χ3311-1-11-1-1111-1-11111-1-1-1-111-1-11-11-11-1i−ii−ii−ii−i1-11-11-1i−ii−ii−ii−i1-1iiii−i−i−i−i11-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i1-11-1i−ii−i1-11-1i−ii−ii−ii−ii−i1-11-11-11-1
χ3411-1-11-1-1111-1-11111-1-1-1-111-1-11-11-11-1i−ii−ii−ii−i1-11-11-1i−ii−ii−ii−i1-1−i−i−i−iiiii11-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i-11-11−ii−ii-11-11−ii−ii−ii−ii−ii-11-11-11-11
χ3511-1-11-1-1111-1-11111-1-1-1-111-1-11-11-11-1−ii−ii−ii−ii1-11-11-1−ii−ii−ii−ii1-1iiii−i−i−i−i11-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii-11-11i−ii−i-11-11i−ii−ii−ii−ii−i-11-11-11-11
χ3611-1-11-1-1111-1-11111-1-1-1-111-1-11-11-11-1−ii−ii−ii−ii1-11-11-1−ii−ii−ii−ii1-1−i−i−i−iiiii11-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii1-11-1−ii−ii1-11-1−ii−ii−ii−ii−ii1-11-11-11-1
χ3711-1-11-1-1111-1-11111-1-1-1-111-1-11-11-1-11i−ii−i−ii−ii1-1-11-11i−ii−i−ii−ii-11iiii−i−i−i−i11-1-111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii11-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii1-1-11−ii−ii1-1-11i−ii−ii−i−ii−ii1-11-1-11-11
χ3811-1-11-1-1111-1-11111-1-1-1-111-1-11-11-1-11i−ii−i−ii−ii1-1-11-11i−ii−i−ii−ii-11−i−i−i−iiiii11-1-111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii11-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii-111-1i−ii−i-111-1−ii−ii−iii−ii−i-11-111-11-1
χ3911-1-11-1-1111-1-11111-1-1-1-111-1-11-11-1-11−ii−iii−ii−i1-1-11-11−ii−iii−ii−i-11iiii−i−i−i−i11-1-111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i11-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i-111-1−ii−ii-111-1i−ii−ii−i−ii−ii-11-111-11-1
χ4011-1-11-1-1111-1-11111-1-1-1-111-1-11-11-1-11−ii−iii−ii−i1-1-11-11−ii−iii−ii−i-11−i−i−i−iiiii11-1-111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i11-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i1-1-11i−ii−i1-1-11−ii−ii−iii−ii−i1-11-1-11-11
χ4111-1-11-1-1111-1-11111-1-1-1-111-1-11-1-111-1i−ii−ii−i−ii-111-1-11−ii−iii−i−ii-11iiii−i−i−i−i11-1-1-1-11111-1-1-1-111−i−iii−i−iiiii−i−i−i−iii-1-11111-1-1-1-111ii−i−iii−i−iii−i−i−i−iii-111-1i−i−ii-11-11i−i−ii−iii−i−ii1-11-11-1-11
χ4211-1-11-1-1111-1-11111-1-1-1-111-1-11-1-111-1i−ii−ii−i−ii-111-1-11−ii−iii−i−ii-11−i−i−i−iiiii11-1-1-1-11111-1-1-1-111−i−iii−i−iiiii−i−i−i−iii-1-11111-1-1-1-111ii−i−iii−i−iii−i−i−i−iii1-1-11−iii−i1-11-1−iii−ii−i−iii−i-11-11-111-1
χ4311-1-11-1-1111-1-11111-1-1-1-111-1-11-1-111-1−ii−ii−iii−i-111-1-11i−ii−i−iii−i-11iiii−i−i−i−i11-1-1-1-11111-1-1-1-111ii−i−iii−i−i−i−iiiii−i−i-1-11111-1-1-1-111−i−iii−i−iii−i−iiiii−i−i1-1-11i−i−ii1-11-1i−i−ii−iii−i−ii-11-11-111-1
χ4411-1-11-1-1111-1-11111-1-1-1-111-1-11-1-111-1−ii−ii−iii−i-111-1-11i−ii−i−iii−i-11−i−i−i−iiiii11-1-1-1-11111-1-1-1-111ii−i−iii−i−i−i−iiiii−i−i-1-11111-1-1-1-111−i−iii−i−iii−i−iiiii−i−i-111-1−iii−i-11-11−iii−ii−i−iii−i1-11-11-1-11
χ4511-1-11-1-1111-1-11111-1-1-1-111-1-11-1-11-11i−ii−i−iii−i-11-111-1−ii−ii−iii−i1-1iiii−i−i−i−i11-1-1-1-111-1-11111-1-1−i−iii−i−iii−i−iiiii−i−i-1-111-1-11111-1-1ii−i−iii−i−i−i−iiiii−i−i-11-11−iii−i-111-1i−i−ii−ii−iii−i1-11-1-111-1
χ4611-1-11-1-1111-1-11111-1-1-1-111-1-11-1-11-11i−ii−i−iii−i-11-111-1−ii−ii−iii−i1-1−i−i−i−iiiii11-1-1-1-111-1-11111-1-1−i−iii−i−iii−i−iiiii−i−i-1-111-1-11111-1-1ii−i−iii−i−i−i−iiiii−i−i1-11-1i−i−ii1-1-11−iii−ii−ii−i−ii-11-111-1-11
χ4711-1-11-1-1111-1-11111-1-1-1-111-1-11-1-11-11−ii−iii−i−ii-11-111-1i−ii−ii−i−ii1-1iiii−i−i−i−i11-1-1-1-111-1-11111-1-1ii−i−iii−i−iii−i−i−i−iii-1-111-1-11111-1-1−i−iii−i−iiiii−i−i−i−iii1-11-1−iii−i1-1-11i−i−ii−ii−iii−i-11-111-1-11
χ4811-1-11-1-1111-1-11111-1-1-1-111-1-11-1-11-11−ii−iii−i−ii-11-111-1i−ii−ii−i−ii1-1−i−i−i−iiiii11-1-1-1-111-1-11111-1-1ii−i−iii−i−iii−i−i−i−iii-1-111-1-11111-1-1−i−iii−i−iiiii−i−i−i−iii-11-11i−i−ii-111-1−iii−ii−ii−i−ii1-11-1-111-1
χ4911-1-11-1-1111-1-11111-1-1-1-111-1-1-111-11-1i−i−iii−ii−i-11-111-1i−i−ii−ii−ii-11iiii−i−i−i−i-1-11111-1-111-1-1-1-111ii−i−i−i−iii−i−iii−i−iii-1-111-1-11111-1-1ii−i−i−i−iiiii−i−iii−i−i1-1-11i−i−ii-11-11−iii−i−ii−iii−i1-1-111-11-1
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χ6011-1-11-1-1111-1-11111-1-1-1-111-1-1-11-111-1−iii−i−iii−i1-1-11-11i−i−iii−i−ii1-1−i−i−i−iiiii-1-111-1-11111-1-111-1-1ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i-11-11−ii−ii1-11-1i−ii−i−iii−ii−i1-1-111-1-11
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χ6311-1-11-1-1111-1-11111-1-1-1-111-1-1-11-11-11−iii−ii−i−ii1-11-11-1i−i−ii−iii−i-11iiii−i−i−i−i-1-111-1-111-1-111-1-111ii−i−i−i−iii−i−iiiii−i−i11-1-111-1-111-1-1−i−iiiii−i−iii−i−i−i−iii1-1-11−ii−ii-111-1−ii−iii−ii−ii−i-111-11-1-11
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χ6922222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5222-2-222222222-2-2-2-222-2-2-2-2-2-222-2-2-2-200000000−1+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+52−1+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+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000000000000
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.