Finite Group Databasebeta

← Group #13176716

Character table — Group #13176716

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
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χ89888-4-4-4-4-88-4-4-4-400-4222-42220-844440000000000004-2-2-2000000000000000000000000000000000000000000000000000000000000
χ9088-48-4-4-4-8-48-4-4-4002-4222-42204-8444000000000000-24-2-2000000000000000000000000000000000000000000000000000000000000
χ9188-4-48-4-4-8-4-48-4-40022-4222-42044-844000000000000-2-24-2000000000000000000000000000000000000000000000000000000000000
χ9288-4-4-48-4-8-4-4-48-400222-4222-40444-84000000000000-2-2-24000000000000000000000000000000000000000000000000000000000000
χ938-88888-40-8-8-8-8400-4-4-4-444440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-4-4-480-8444-8008-4-4-4-84440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-4-4-4-40-8444400-42224-2-2-20000000000000000000000000000032−3232−3232−3200000000000000000000000000000000000000000000000
χ968-88-4-4-4-40-8444400-42224-2-2-200000000000000000000000000000−3232−3232−323200000000000000000000000000000000000000000000000
χ978-8-48-4-4804-844-800-48-4-44-8440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-48-4-4-404-8444002-422-24-2-200000000000000000000000000032−320032−32−323200000000000000000000000000000000000000000000000
χ998-8-48-4-4-404-8444002-422-24-2-2000000000000000000000000000−323200−323232−3200000000000000000000000000000000000000000000000
χ1008-8-4-48-48044-84-800-4-48-444-840000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-4-48-4-4044-8440022-42-2-24-200000000000000000000000000032−32−32320032−3200000000000000000000000000000000000000000000000
χ1028-8-4-48-4-4044-8440022-42-2-24-2000000000000000000000000000−323232−3200−323200000000000000000000000000000000000000000000000
χ1038-8-4-4-4880444-8-800-4-4-48444-80000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-4-4-48-40444-8400222-4-2-2-2400000000000000000000000000032−3232−32−32320000000000000000000000000000000000000000000000000
χ1058-8-4-4-48-40444-8400222-4-2-2-24000000000000000000000000000−3232−323232−320000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).