Finite Group Databasebeta

← Group #13155848

Character table — Group #13155848

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1111111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-111111111-111-1-1-1-11111-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111
χ511111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-11-1-111-1-1-1-1111111111111-1-1-111-1-1-1-1-1-11111-1
χ611111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-11
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1
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χ998-88-88-4-400-844-4-848-44-4-4244-4-2244-2-40000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-48-4004-84-44-8-484-42-44-224-44-24-40000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-480044-8844-4-4-82-4-4-24-44-4-24420000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4-400444-444-4-44222-2-22-22-2-2-22000000-11-1100000033−33−33330000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-400444-444-4-44222-2-22-22-2-2-22000000-11-11000000−333333−330000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-48-84444-4-444-4222-2-2-2-2-2222-2-44-444-4-111-12-22-22-2-1-1110000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4-884444-4-444-4222-2-2-2-2-2222-24-44-4-44-111-1-22-22-2211-1-10000000000000000000000000000000000000000000000000000000

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