Finite Group Databasebeta

← Group #72243406

Character table — Group #72243406

Order 2560.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151
size1111222222222222224444444444444444444444444488888888888888888888888888888888888888888881616161616161616161616161616161616161616161616161616161616162020202032323232323232323232404040404040404040404040404080808080160160
order1222222222551010101010102222221010101010101010101010101010101010101010222222244444444101010101010101010101010101010101010101010101010202020204410101010101020202020202020202020202020202020202020202020222244202020202020202022224444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1
χ41111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ5111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-111111111-1-1
χ9111111111111111111-1-1111111111111111111111111-111111-1-1-11-111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11-11111-1-1-1-11-11-11-111-1-111-1-111-1-11-1
χ10111111111111111111-1-1111111111111111111111111-111111-1-1-11-111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-11111-1-1-1-1-11-11-11-1-111-1-111-1-111-11
χ11111111111111111111-1-1111111111111111111111111-11111-11-1-1-11-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-11-1-1-1-111111-1-11-1111-1-1-1-11111-1-1-11
χ12111111111111111111-1-1111111111111111111111111-11111-11-1-1-11-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-11-1-1-1-11111-111-11-1-1-11111-1-1-1-1111-1
χ13111111111111111111-1-1111111111111111111111111-1-1-1-1-11-1-1-11-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-11111111111-1-1-11-1-1-1-111111-11-11-111-1-111-1-1-1-111-11
χ14111111111111111111-1-1111111111111111111111111-1-1-1-1-11-1-1-11-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-111111111-1-111-11-1-1-1-11111-11-11-11-1-111-1-11111-1-11-1
χ15111111111111111111-1-1111111111111111111111111-1-1-1-1-1-11-1-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111111111111-1-11-11111-1-1-1-11-1-11-1111-1-1-1-111-1-1111-1
χ16111111111111111111-1-1111111111111111111111111-1-1-1-1-1-11-1-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1111-11111-1-1-1-1-111-11-1-1-11111-1-111-1-1-11
χ1722222222222222222222-2-2-2-22222222222-2-2-2-2-2-2-2-2222000000-2-2000000-2-2-2-222220000000000000000-2-2-2-20022000000000000-2-200000000000022220000000000220000-2-2-2-20000000000
χ1822222222222222222222-2-2-2-22222222222-2-2-2-2-2-2-2-2222000000-2-2000000-2-2-2-222220000000000000000-2-2-2-20022000000000000-2-2000000000000-2-2-2-20000000000-2-2000022220000000000
χ19222222222222222222-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-222-200000022000000-2-2-2-2-2-2-2-20000000000000000222200-2-20000000000002200000000000022-2-200000000002-20000-2-2220000000000
χ20222222222222222222-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-222-200000022000000-2-2-2-2-2-2-2-20000000000000000222200-2-200000000000022000000000000-2-2220000000000-22000022-2-20000000000
χ212222222222−1+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+52−1−52222222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ222222222222−1+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+52−1−5222222-2-222-2-2-2-2-2-2−1+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+52−1−52−1−5222−1+52−1−521−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1−521−521+521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2-21−521−521+521+521−521−521+521+5200000000000000000000
χ232222222222−1+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+52−1−522-2-2-2-22222222222−1+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+52−1+52−1+52−1−52−1−52-2-2−1+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+520000-2-21−521−521+521+521−521−521+521+5200000000000000000000
χ242222222222−1+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+52−1−522-2-2-2-2-2-222-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52−1+52−1+52−1−52−1−52-2-2−1+52−1−521−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1−521−521+521−521+521−521−521−521−521+521+521+521+52000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ252222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52-222222-2-2-22-222-2-2−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521−521−521+521+52-2-21−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521+52−1+52−1−521−521+521−521−521−521−521+521+521+521+5200002-2−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
χ262222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52-22222-22-2-2-22-2-222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521−521−521+521+52-2-21−521+521−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1−521−521−521−521−521+521+521+521+520000-221−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ272222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52-2-2-2-2-22-2-2-22-222-2-2−1+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+52221−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521+52−1+52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-221−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ282222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52-2-2-2-2-2-22-2-2-22-2-222−1+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+52221−521+521−521+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+52−1+52−1+52−1−52−1−52−1−52−1−5200002-2−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
χ292222222222−1−52−1+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+52222222222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000
χ302222222222−1−52−1+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+5222222-2-222-2-2-2-2-2-2−1−52−1−52−1+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+5222−1−52−1+521+521−521+521−521+521+521−521−521+521+521−521−52−1−52−1+521+521−521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2-21+521+521−521−521+521+521−521−5200000000000000000000
χ312222222222−1−52−1+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+522-2-2-2-22222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52−1−52−1−52−1+52−1+52-2-2−1−52−1+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+521−521−521−521−520000-2-21+521+521−521−521+521+521−521−5200000000000000000000
χ322222222222−1−52−1+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+522-2-2-2-2-2-222-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52−1−52−1−52−1+52−1+52-2-2−1−52−1+521+521−521+521−521+521+521−521−521+521+521−521−52−1−52−1+521+521−521+521−521+521+521+521+521−521−521−521−52000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000
χ332222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22222−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52-222222-2-2-22-222-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521+521+521−521−52-2-21+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521−52−1−52−1+521+521−521+521+521+521+521−521−521−521−5200002-2−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
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Here ζ is a primitive root of unity of order 5 (ζ5 = 1).