Finite Group Databasebeta

← Group #72263559

Character table — Group #72263559

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size1111222222222244444444444444444444448888888888888888881616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232323232323232323232323232323232323232323232
order12222222222222222222222222222222444422222222222244444422222222444444444444444424444444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ5111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ7111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ8111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ911111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-11111-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-11-11-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1011111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-11111-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-111111-11-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ1211111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111-11-111111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11-11-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-11-11-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1111111111-11-1-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-11-111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ171111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111111111-1-1111-1-1-1-111-1-11-1-11-11-111-1-11-11-111-1-111-1-111-1-11-1-1111-1-111-1-11-11-11-11-111-1-111-1-111-1-111-1-111-1-111-1-1
χ181111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111111111-1-1111-1-1-1-111-1-11-1-11-11-111-1-11-11-111-1-111-1-111-1-1-111-1-1-111-1-1111-11-1-11-1111-1-111-1-1-1-111-1-111-1-111-1-111
χ191111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111111111-1-1111-1-1-1-111-1-11-1-11-11-1-1-1111-11-111-1-111-1-1-1-1111-1-11-1-111-1-111-11-111-11-1-1-111-1-111-1-111-1-11111-1-111-1-1
χ201111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111111111-1-1111-1-1-1-111-1-11-1-11-11-1-1-1111-11-111-1-111-1-1-1-111-111-111-1-111-1-1-11-11-11-11-1-111-1-11111-1-111-1-1-1-111-1-111
χ211111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111111111-1-1111-1-1-1-111-1-11-1-1-11-1111-1-1-11-11-1-111-1-11111-1-11-1-1111-1-111-1-11-11-11-11-1-1-111-1-111-1-111-1-111-1-111-1-111
χ221111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111111111-1-1111-1-1-1-111-1-11-1-1-11-1111-1-1-11-11-1-111-1-11111-1-1-111-1-1-111-1-1111-11-1-11-11-1-111-1-11111-1-111-1-111-1-111-1-1
χ231111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111111111-1-1111-1-1-1-111-1-11-1-1-11-11-1-111-11-11-1-111-1-111-1-1111-1-11-1-111-1-111-11-111-11-111-1-111-1-111-1-111-1-1-1-111-1-111
χ241111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111111111-1-1111-1-1-1-111-1-11-1-1-11-11-1-111-11-11-1-111-1-111-1-111-111-111-1-111-1-1-11-11-11-1111-1-111-1-1-1-111-1-11111-1-111-1-1
χ251111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1111111-1-1-1111-1-1111-1-11-1-1111-1-1-1-111-1-11111-1-111-1-1-1-1111-1-111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ261111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1111111-1-1-1111-1-1111-1-11-1-1111-1-1-1-111-1-111-1-111-1-11111-1-11-1-11-111-111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ271111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1111111-1-1-1111-1-11-1-1111-1-1111-1-1-1-11111-1-111-1-1-1-11111-1-1-111-11-1-11-1-11111-1-1-1-11111-1-111-1-1-1-111
χ281111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1111111-1-1-1111-1-11-1-1111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-111-111-1-111-1-1-11111-1-111-1-1-1-111-1-11111-1-1
χ291111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1111111-1-1-111-111-111-1-1-111-1-1-11111-1-1-1-11111-1-111-1-1-1-1111-1-111-1-11-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ301111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1111111-1-1-111-111-111-1-1-111-1-1-11111-1-1-1-111-1-111-1-11111-1-11-1-11-111-1-1-11111-1-111-1-1-1-11111-1-1-1-111
χ311111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1111111-1-1-111-111-1-1-111-111-1-1-11111-1-111-1-111-1-1-1-11111-1-1-111-11-1-1111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ321111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1111111-1-1-111-111-1-1-111-111-1-1-11111-1-111-1-1-1-11111-1-1-1-111-111-1-111-111-1-1-1-111-1-11111-1-111-1-1-1-111
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χ722222-2-222-2-2-2-222-22-2-222-2-222-2-222-2-2-2-222-2-2222-222-22-2-22-222-2-2-220000000000000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000
χ732222-2-222-2-2-2-222-22-2-2-2-222-2-222-2-2222222222-222-22-2-22-22-2-2-22-2-222-22-20000-22-222-2-222-2-22000000000000000000000000000000000000000000000000
χ742222-2-222-2-2-2-222-22-2-2-2-222-2-222-2-2222222222-222-22-2-22-22-2-2-22-2-22-22-2200002-22-2-222-2-222-2000000000000000000000000000000000000000000000000
χ752222-2-222-2-2-2-222-22-2-2-2-2-2-222-2-222-2-222-2-2222-2222-222-22-2-2-2-2222-22-2-220000-222-22-2-22-222-2000000000000000000000000000000000000000000000000
χ762222-2-222-2-2-2-222-22-2-2-2-2-2-222-2-222-2-222-2-2222-2222-222-22-2-2-2-2222-2-222-200002-2-22-222-22-2-22000000000000000000000000000000000000000000000000
χ772222-2-2-2-2222222-2-222222222-2-2-2-2-2-2-2-22222-2-222-2-2-22222-22-2-22-2-20000000000000000000000002-2-22000000000000-22-22000000000000000000000000
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χ792222-2-2-2-2222222-2-22222-2-2-2-2222222-2-2-2-222-2-222222-2-2-2-2-22-2-2-22200000000000000000000000022-2-2000000000000-222-2000000000000000000000000
χ802222-2-2-2-2222222-2-22222-2-2-2-2222222-2-2-2-222-2-222222-2-2-2-2-22-2-2-222000000000000000000000000-2-2220000000000002-2-22000000000000000000000000
χ812222-2-2-2-2222222-2-222-2-22222-2-2-2-2-2-222-2-2-2-2-222-2-22222-2-2-2-222-222000022-2-200000000000022-2-2000000000000-22-220000000000000000000000000000
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Here i is the imaginary unit (i² = −1).