Finite Group Databasebeta

← Group #12968786

Character table — Group #12968786

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size1111222222222222224444444444444444444444444444444488881010101016161616161616162020202020204040404011112222222222222244444444444444444444444444444444888810101010161616161616161620202020202040404040
order1222445588881010101010104488202020202020202020202020404040404040404040404040404040402222224410101010101010104488882244222244101088881010101010104488202020202020202020202020404040404040404040404040404040402222224410101010101010104488882244
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111-1-111-1-1
χ6111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1
χ911111111-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1111111-1-111-1-111-1-1-1-11-11-111111111-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1111111-1-111-1-111-1-1-1-11-11-1
χ1011111111-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-111-1-111-1-1-1-11111-11-1111111111-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-111-1-111-1-1-1-11111-11-11
χ1111111111-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-111-1-11111-1-1-1-1-11-1111111111-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-111-1-11111-1-1-1-1-11-11
χ1211111111-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-111-1-111-1-111111-11-111111111-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-111-1-111-1-111111-11-1
χ1311111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-11111111-1-1-1-111-1-1-1-1111-1-1111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-11111111-1-1-1-111-1-1-1-1111-1-11
χ1411111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-11-1-1-1-111-1-1-1-1111111-1-1-111-111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-11-1-1-1-111-1-1-1-1111111-1-1-111-1
χ1511111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-11111-1-11111-1-1-1-1-1-111-111-111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-11111-1-11111-1-1-1-1-1-111-111-1
χ1611111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-11111-1-11111-1-11-1-1111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-11111-1-11111-1-11-1-11
χ17222222−1+52−1−522222−1+52−1+52−1+52−1−52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222220000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000222222−1+52−1−522222−1+52−1+52−1+52−1−52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222220000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000
χ18222222−1+52−1−522222−1+52−1+52−1+52−1−52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-200001−521+521−521+521−521+521−521+520000000000222222−1+52−1−522222−1+52−1+52−1+52−1−52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-200001−521+521−521+521−521+521−521+520000000000
χ19222222−1+52−1−522222−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2-21−521−521−521−521+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+5222-2-20000−1+52−1−52−1+52−1−521−521+521−521+520000000000222222−1+52−1−522222−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2-21−521−521−521−521+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+5222-2-20000−1+52−1−52−1+52−1−521−521+521−521+520000000000
χ20222222−1+52−1−522222−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2-21−521−521−521−521+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+52-2-22200001−521+521−521+52−1+52−1−52−1+52−1−520000000000222222−1+52−1−522222−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2-21−521−521−521−521+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+52-2-22200001−521+521−521+52−1+52−1−52−1+52−1−520000000000
χ21222222−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−5222-2-2−1+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+522-22-20000−1+52−1−521−521+52−1+52−1−521−521+520000000000222222−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−5222-2-2−1+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+522-22-20000−1+52−1−521−521+52−1+52−1−521−521+520000000000
χ22222222−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−5222-2-2−1+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+52-22-2200001−521+52−1+52−1−521−521+52−1+52−1−520000000000222222−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−5222-2-2−1+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+52-22-2200001−521+52−1+52−1−521−521+52−1+52−1−520000000000
χ23222222−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52-2-2221−521−521−521−521+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+52−1−52−1−52−1−52−1−522-2-220000−1+52−1−521−521+521−521+52−1+52−1−520000000000222222−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52-2-2221−521−521−521−521+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+52−1−52−1−52−1−52−1−522-2-220000−1+52−1−521−521+521−521+52−1+52−1−520000000000
χ24222222−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52-2-2221−521−521−521−521+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+52−1−52−1−52−1−52−1−52-222-200001−521+52−1+52−1−52−1+52−1−521−521+520000000000222222−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52-2-2221−521−521−521−521+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+52−1−52−1−52−1−52−1−52-222-200001−521+52−1+52−1−52−1+52−1−521−521+520000000000
χ25222222−1−52−1+522222−1−52−1−52−1−52−1+52−1+52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222220000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000222222−1−52−1+522222−1−52−1−52−1−52−1+52−1+52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222220000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000
χ26222222−1−52−1+522222−1−52−1−52−1−52−1+52−1+52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-200001+521−521+521−521+521−521+521−520000000000222222−1−52−1+522222−1−52−1−52−1−52−1+52−1+52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-200001+521−521+521−521+521−521+521−520000000000
χ27222222−1−52−1+522222−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2-21+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+521−521−521−521−5222-2-20000−1−52−1+52−1−52−1+521+521−521+521−520000000000222222−1−52−1+522222−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2-21+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+521−521−521−521−5222-2-20000−1−52−1+52−1−52−1+521+521−521+521−520000000000
χ28222222−1−52−1+522222−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2-21+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+521−521−521−521−52-2-22200001+521−521+521−52−1−52−1+52−1−52−1+520000000000222222−1−52−1+522222−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2-21+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+521−521−521−521−52-2-22200001+521−521+521−52−1−52−1+52−1−52−1+520000000000
χ29222222−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+5222-2-2−1−52−1−52−1−52−1−52−1+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+521−521−521−521−522-22-20000−1−52−1+521+521−52−1−52−1+521+521−520000000000222222−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+5222-2-2−1−52−1−52−1−52−1−52−1+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+521−521−521−521−522-22-20000−1−52−1+521+521−52−1−52−1+521+521−520000000000
χ30222222−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+5222-2-2−1−52−1−52−1−52−1−52−1+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+521−521−521−521−52-22-2200001+521−52−1−52−1+521+521−52−1−52−1+520000000000222222−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+5222-2-2−1−52−1−52−1−52−1−52−1+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+521−521−521−521−52-22-2200001+521−52−1−52−1+521+521−52−1−52−1+520000000000
χ31222222−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52-2-2221+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-220000−1−52−1+521+521−521+521−52−1−52−1+520000000000222222−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52-2-2221+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-220000−1−52−1+521+521−521+521−52−1−52−1+520000000000
χ32222222−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52-2-2221+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-222-200001+521−52−1−52−1+52−1−52−1+521+521−520000000000222222−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52-2-2221+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-222-200001+521−52−1−52−1+52−1−52−1+521+521−520000000000
χ332222-2-22200002222222-20022-2-222-2-2-2-2-2-20000000000000000000022-2-2000000002-2000000002222-2-22200002222222-20022-2-222-2-2-2-2-2-20000000000000000000022-2-2000000002-200000000
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χ1454-4-444-4−1+5−1−50000−1+51−51−5−1−51+51+5004-400000000−1+51−5−1−51+500000000−1+5−1+51−51−5−1−5−1−51+51+500000000000000000000000000-444-4-441−51+500001−5−1+5−1+51+5−1−5−1−500-44000000001−5−1+51+5−1−5000000001−51−5−1+5−1+51+51+5−1−5−1−500000000000000000000000000
χ1464-4-444-4−1+5−1−50000−1+51−51−5−1−51+51+500-4400000000−1+51−5−1−51+5000000001−51−5−1+5−1+51+51+5−1−5−1−500000000000000000000000000-444-4-441−51+500001−5−1+5−1+51+5−1−5−1−5004-4000000001−5−1+51+5−1−500000000−1+5−1+51−51−5−1−5−1−51+51+500000000000000000000000000
χ1474-4-444-4−1−5−1+50000−1−51+51+5−1+51−51−5004-400000000−1−51+5−1+51−500000000−1−5−1−51+51+5−1+5−1+51−51−500000000000000000000000000-444-4-441+51−500001+5−1−5−1−51−5−1+5−1+500-44000000001+5−1−51−5−1+5000000001+51+5−1−5−1−51−51−5−1+5−1+500000000000000000000000000
χ1484-4-444-4−1−5−1+50000−1−51+51+5−1+51−51−500-4400000000−1−51+5−1+51−5000000001+51+5−1−5−1−51−51−5−1+5−1+500000000000000000000000000-444-4-441+51−500001+5−1−5−1−51−5−1+5−1+5004-4000000001+5−1−51−5−1+500000000−1−5−1−51+51+5−1+5−1+51−51−500000000000000000000000000
χ1494-4-44-44−1+5−1−544-4-4−1+51−51−5−1−51+51+50000000000001−5−1+51+5−1−5−1+5−1+51−51−5−1−5−1−51+51+50000000000000000000000000000000000-444-44-41−51+5-4-4441−5−1+5−1+51+5−1−5−1−5000000000000−1+51−5−1−51+51−51−5−1+5−1+51+51+5−1−5−1−50000000000000000000000000000000000
χ1504-4-44-44−1+5−1−5-4-444−1+51−51−5−1−51+51+50000000000001−5−1+51+5−1−51−51−5−1+5−1+51+51+5−1−5−1−50000000000000000000000000000000000-444-44-41−51+544-4-41−5−1+5−1+51+5−1−5−1−5000000000000−1+51−5−1−51+5−1+5−1+51−51−5−1−5−1−51+51+50000000000000000000000000000000000
χ1514-4-44-44−1−5−1+544-4-4−1−51+51+5−1+51−51−50000000000001+5−1−51−5−1+5−1−5−1−51+51+5−1+5−1+51−51−50000000000000000000000000000000000-444-44-41+51−5-4-4441+5−1−5−1−51−5−1+5−1+5000000000000−1−51+5−1+51−51+51+5−1−5−1−51−51−5−1+5−1+50000000000000000000000000000000000
χ1524-4-44-44−1−5−1+5-4-444−1−51+51+5−1+51−51−50000000000001+5−1−51−5−1+51+51+5−1−5−1−51−51−5−1+5−1+50000000000000000000000000000000000-444-44-41+51−544-4-41+5−1−5−1−51−5−1+5−1+5000000000000−1−51+5−1+51−5−1−5−1−51+51+5−1+5−1+51−51−50000000000000000000000000000000000

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