Finite Group Databasebeta

← Group #72265166

Character table — Group #72265166

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130
size1111111111111111222222224444444444444444444444444444444444448888888888888888888888888888888888161616161616161616161616161616161616161616161616161616161616161616161616
order1222222222222222444444442222222244444444444444444444888888884444444444444444444444888888888888222244444444444444444444444488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-111111111-1-1-1-11111111111-1-11111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-1111111-1-1-1-111-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1
χ911111111111111111111111111111111-1-1-1-1111111111111-1-1-1-111111111-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-111-1-1
χ1011111111111111111111111111111111-1-1-1-1111111111111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ1111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111-1-111
χ1211111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11111-1-1-1-1111111-1-111-1-1
χ1311111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111
χ1411111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1
χ1511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-1
χ1611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111
χ17111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ18111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1111111111111
χ19111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ20111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1
χ21111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-111-1-1-1-1-1-11111-1-111-1-1-1-11111
χ22111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-11111-1-1-1-1
χ23111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111111111-1-1111111-1-1-1-1
χ24111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-11111
χ25111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-111-1-111
χ26111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-111111111-1-111-1-111-1-111-1-1-1-11111-1-1-1-111-1-111-1-1
χ27111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-111-1-1
χ28111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11111111111-1-1-1-1-1-111-1-111
χ29111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-11111-1-1
χ30111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111
χ31111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111
χ32111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1
χ332222222222222222-2-2-2-2-2-2-2-2000000002222222200000000222200000000-2-2-2-222-2-2-2-222-2-222-2-222-2-2000000000000000000000000000000000000000000000000
χ342222222222222222-2-2-2-2-2-2-2-2000000002222222200000000222200000000-2-2-2-2-2-222-2-2-2-222-2-222-2-222000000000000000000000000000000000000000000000000
χ352222222222222222-2-2-2-2-2-2-2-2000000002222-2-2-2-200000000-2-2-2-200000000-2-22222-2-2222222-2-2-2-2-2-222000000000000000000000000000000000000000000000000
χ362222222222222222-2-2-2-2-2-2-2-2000000002222-2-2-2-200000000-2-2-2-200000000-2-222-2-22222-2-2-2-2222222-2-2000000000000000000000000000000000000000000000000
χ372222222222222222-2-2-2-2-2-2-2-200000000-2-2-2-2222200000000-2-2-2-20000000022-2-222-2-222-2-2-2-2-2-2222222000000000000000000000000000000000000000000000000
χ382222222222222222-2-2-2-2-2-2-2-200000000-2-2-2-2222200000000-2-2-2-20000000022-2-2-2-22222222222-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ392222222222222222-2-2-2-2-2-2-2-200000000-2-2-2-2-2-2-2-200000000222200000000222222-2-2-2-2-2-2222222-2-2-2-2000000000000000000000000000000000000000000000000
χ402222222222222222-2-2-2-2-2-2-2-200000000-2-2-2-2-2-2-2-2000000002222000000002222-2-222-2-222-2-2-2-2-2-22222000000000000000000000000000000000000000000000000
χ41222-22-2-222-22-2-22-2-22-2-222-2-222222-2-2-2-2000000002i2i2i2i−2i−2i−2i−2i00002i2i2i2i−2i−2i−2i−2i00002-22-200000000000000000000000000000000002i−2i00002-20000000000002i−2i000000
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χ44222-22-2-222-22-2-22-2-22-2-222-2-222222-2-2-2-200000000−2i−2i−2i−2i2i2i2i2i0000−2i−2i−2i−2i2i2i2i2i0000-22-2200000000000000000000000000000000002i−2i0000-220000000000002i−2i000000
χ45222-22-2-222-22-2-22-2-22-2-222-2-22-2-2-2-22222000000002i2i2i2i−2i−2i−2i−2i0000−2i−2i−2i−2i2i2i2i2i00002-22-200000000000000000000000000000000002i−2i0000-22000000000000−2i2i000000
χ46222-22-2-222-22-2-22-2-22-2-222-2-22-2-2-2-22222000000002i2i2i2i−2i−2i−2i−2i0000−2i−2i−2i−2i2i2i2i2i0000-22-220000000000000000000000000000000000−2i2i00002-20000000000002i−2i000000
χ47222-22-2-222-22-2-22-2-22-2-222-2-22-2-2-2-2222200000000−2i−2i−2i−2i2i2i2i2i00002i2i2i2i−2i−2i−2i−2i00002-22-20000000000000000000000000000000000−2i2i0000-220000000000002i−2i000000
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χ5422-22-22-22-22-22-22-2-2-22-22-22-22-2-222-2-222000022-2-2−2i−2i2i2i−2i−2i2i2i00002i2i−2i−2i2i2i−2i−2i002-200000000000000000000002i2i−2i−2i0000000000−2i2i0000-220000000000000000000000
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χ6422-2-2-2-222-2-2-2-22222-2-222-2-222-2-22222-2-200000000-2-22222-2-2000022-2-2-2-222000000000000-220000-22000000000000000000000000000000002-22-20000000000-2200
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Here i is the imaginary unit (i² = −1).