Finite Group Databasebeta

← Group #13168091

Character table — Group #13168091

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
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order12223336666666663334666666666224436661212121212121212121212121224446666661212121212122244666661212121212121212121212121224446612121212444461212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1111111-1-111-1-111-1-1-1-1-111-1-11-111111-1-11111-11-11-1-1-1-111-1-1-1-1-11-1
χ31111111111111111111111111111111-1-111111111111111111111-1111111-1-111-1-111-1-11111111-11-11111-1-1-1-11-1-1-111-1-1-1-1-1-1-1-11-1-1
χ41111111111111111111111111111111-1-111111111111111111-1-11-11111-1-1-1-1-1-1-1-1-1-111-111-1-11-1-11-111-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-11
χ511111111111111111111111111111-1-1111111111111111111111-11-1-1-1-111111111-1-1111-1-111-111-11-1-1111111-1-11-1-1-111-1-1-1-1-1-1-1-11
χ611111111111111111111111111111-1-11111111111111111111-1-1-11-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-111111-1-1-111-1-1-1-111111-1-1
χ711111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11-1-111-11-1-1-1-1-111-1-1-1-1-11-11-1-1-1-1111111-11-1
χ811111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111
χ91111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111111111-1-11111-1-111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11
χ101111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1111111-1-111-111-1-1-11-1-1-1-1-11111-1-11-1-11-1-11111-1-1111-1-1
χ111111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1-1111111111-1-11-11-1-1-1-1-1-111-11-1-11111-1-1-1-111-11-1
χ121111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-111-1-1-1-1-1-1-111-1-1-111-11-1-111-1-111111-1-1-1-1-1-1-111-1-1111
χ131111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-11111-1-111-1-1-1-11-1-1111-1-11-111-1-111-1-1111-1-1-1-1-1-1-1-1-111111
χ141111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111111111-1-1-1-1-111-11-1111111-1-1-11-1-11111-1-111-1-1-11-1
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χ1038-8-88-4-484-8-88-4444-42-4-40-24-4-244-44200002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-4444-4-4444-42220-2-22-2-2-22-220000-11-1100000006i−6i−3i3i3i−3i0000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4444-4-4444-42220-2-22-2-2-22-220000-11-110000000−6i6i3i−3i−3i3i0000000000000000000000000000000000000000000000000000000

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