Finite Group Databasebeta

← Group #12979719

Character table — Group #12979719

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158
size11112222222222222222444444444444444444444444444444488881010101016161616161616162020202020202020202040401111222222222222222244444444444444444444444444444448888101010101616161616161616202020202020202020204040
order1222444455888810101010101048820202020202020202020202040404040404040404040404040404040444444442020202020202020224444888844222244441010888810101010101048820202020202020202020202040404040404040404040404040404040444444442020202020202020224444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ4111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ51111111111-1-1-1-11111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111-1-111-1-1-1-11-11111111111-1-1-1-11111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111-1-111-1-1-1-11-1
χ61111111111-1-1-1-11111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-111111111111-1-1-1-11111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-11
χ71111111111-1-1-1-11111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-111111111111-1-1-1-11111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-11
χ81111111111-1-1-1-11111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111111-11111111111-1-1-1-11111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111111-1
χ91111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-111111-111-1-1-1-11111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-111111-111-1-1-1-1
χ101111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-1-1-11111-1-111-1-1-1-1-1-1-11-1-111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-1-1-11111-1-111-1-1-1-1-1-1-11-1-11111
χ111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-111-1-1-1-11-111-1-1111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-111-1-1-1-11-111-1-111
χ121111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1111111-11-1-111-1-11111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1111111-11-1-111-1-1
χ131111-1-11111-1-1-1-1111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1111-1-111-1-1-1-11111-1-11-1-1-111-111111-1-11111-1-1-1-1111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1111-1-111-1-1-1-11111-1-11-1-1-111-11
χ141111-1-11111-1-1-1-1111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-11-1-11111-1-1-1-111-1-111-1111-1-11-11111-1-11111-1-1-1-1111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-11-1-11111-1-1-1-111-1-111-1111-1-11-1
χ151111-1-11111-1-1-1-1111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-111-1-1-1-11111-1-1-1-1111-1-1-1111-11111-1-11111-1-1-1-1111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-111-1-1-1-11111-1-1-1-1111-1-1-1111-1
χ161111-1-11111-1-1-1-1111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1-1-111-1-11111-1-111-1-1-1111-1-1-111111-1-11111-1-1-1-1111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1-1-111-1-11111-1-111-1-1-1111-1-1-11
χ1722222222−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+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+52−1−5200000000000022222222−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+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+52−1−52000000000000
χ1822222222−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+5200000000000022222222−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+52000000000000
χ1922222222−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−522-2-2−1+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+5222-2-20000−1+52−1−52−1+52−1−521−521+521−521+5200000000000022222222−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−522-2-2−1+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+5222-2-20000−1+52−1−52−1+52−1−521−521+521−521+52000000000000
χ2022222222−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−522-2-2−1+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+52-2-22200001−521+521−521+52−1+52−1−52−1+52−1−5200000000000022222222−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−522-2-2−1+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+52-2-22200001−521+521−521+52−1+52−1−52−1+52−1−52000000000000
χ2122222222−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+5200000000000022222222−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+52000000000000
χ2222222222−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+521−5200000000000022222222−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+521−52000000000000
χ2322222222−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+522-2-2−1−52−1−52−1−52−1−52−1+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+521−521−521−521−5222-2-20000−1−52−1+52−1−52−1+521+521−521+521−5200000000000022222222−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+522-2-2−1−52−1−52−1−52−1−52−1+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+521−521−521−521−5222-2-20000−1−52−1+52−1−52−1+521+521−521+521−52000000000000
χ2422222222−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+522-2-2−1−52−1−52−1−52−1−52−1+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+521−521−521−521−52-2-22200001+521−521+521−52−1−52−1+52−1−52−1+5200000000000022222222−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+522-2-2−1−52−1−52−1−52−1−52−1+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+521−521−521−521−52-2-22200001+521−521+521−52−1−52−1+52−1−52−1+52000000000000
χ25222222-2-2220000222222-20022-2-222-2-2-2-2-2-2000000000000000000002222000000000000-2-2000000222222-2-2220000222222-20022-2-222-2-2-2-2-2-2000000000000000000002222000000000000-2-2000000
χ26222222-2-2220000222222-20022-2-222-2-2-2-2-2-200000000000000000000-2-2-2-200000000000022000000222222-2-2220000222222-20022-2-222-2-2-2-2-2-200000000000000000000-2-2-2-200000000000022000000
χ272222-2-222−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-21−521−521−521−521+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+522-22-20000−1+52−1−521−521+52−1+52−1−521−521+520000000000002222-2-222−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-21−521−521−521−521+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+522-22-20000−1+52−1−521−521+52−1+52−1−521−521+52000000000000
χ282222-2-222−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-21−521−521−521−521+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+52-22-2200001−521+52−1+52−1−521−521+52−1+52−1−520000000000002222-2-222−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-21−521−521−521−521+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+52-22-2200001−521+52−1+52−1−521−521+52−1+52−1−52000000000000
χ292222-2-222−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2221−521−521−521−521+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+52−1−520000000000002222-2-222−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2221−521−521−521−521+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+52−1−52000000000000
χ302222-2-222−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2221−521−521−521−521+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+520000000000002222-2-222−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2221−521−521−521−521+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+52000000000000
χ312222-2-222−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-21+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+521−521−521−521−522-22-20000−1−52−1+521+521−52−1−52−1+521+521−520000000000002222-2-222−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-21+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+521−521−521−521−522-22-20000−1−52−1+521+521−52−1−52−1+521+521−52000000000000
χ322222-2-222−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-21+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+521−521−521−521−52-22-2200001+521−52−1−52−1+521+521−52−1−52−1+520000000000002222-2-222−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-21+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+521−521−521−521−52-22-2200001+521−52−1−52−1+521+521−52−1−52−1+52000000000000
χ332222-2-222−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52-2221+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+520000000000002222-2-222−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52-2221+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+52000000000000
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χ1584-4-440000−1−5−1+5−2i22i22i2−2i21+51−51+5−1−51−5−1+5000002ζ4−2ζ36−2ζ4+2ζ36002ζ12−2ζ28−2ζ12+2ζ280000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ370000000000000000000000000000-444-400001+51−52i2−2i2−2i22i2−1−5−1+5−1−51+5−1+51−500000−2ζ4+2ζ362ζ4−2ζ3600−2ζ12+2ζ282ζ12−2ζ280000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ370000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.