Finite Group Databasebeta

← Group #13169299

Character table — Group #13169299

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222244444444444444466888888888888888812121212121212121212121212181818181818181824242424242424242424242424242424242424243636363636363636363654547272108
order122233366666666633346666666661212443666121212121212121212121212444441212121212121212444444441212121212121212121212121212121212121212241212121212121212226124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-111-1-1-111111-1-111111111-1-1-1-1-1111-1-1-1-1-1-1-1-1-11-1
χ311111111111111111111111111111111111111111111111111-1-1111111-1-11111-1-1-1-1-1-111-11-1-1111111-1-1-1-111111-1-1-111-1-1-1-1-1-11-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-111-1-111-11-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111111111111-1-11111111111111111-11111-1-11111-1-1-1-111-1-1111-11-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1
χ61111111111111111111111111111111-1-11111111111111111-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-11111-1-1-1-11-1-1-111-1-1-1-1111-11
χ71111111111111111111111111111111-1-11111111111111111-1-1-111-1-111-1-1-1-1-1-1-1-111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-11111-1111-1-1-1-1-1-111-111
χ81111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1
χ91111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111111111111111-1-1-1-1-1-11-11-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-11
χ101111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-111111-1-1-11-1-11-1-11111-1-1-1-1111-111-1-1-1-111111-1-1
χ111111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-11111-1-1-1-111-1-11-1-111-1-1-111-1-11111-1-1-11-1-111-1-11111-11-1
χ121111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-111-1-1-1-11-11-1-11-11-1-111-1-111-1-11111-1-1-1-111-1-1-1-1111
χ131111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-11111-1-1-1-111-1-1-1-1-11-111-11-111-1-111-1-111-1-111-1-1-1-111-1-11111-1
χ141111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-111-1-111-1-1-1-11111-111-1-1111-1-111-1-1-1-111-11-1-111-1-111-1-1-111
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χ1008-88-8-4-4-4444-44-44-442220-22-2-2-22-22-20000-1-111000000−6i6i3i−3i3i−3i00000000000000000000000000000000000000000000000000000000
χ1018-8-888-4-4-84-44-444-88-4-420-44244-2-24-400002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-48-444-4-884-84-4-42-40-4-2-44-2444200002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-4-484-884-4-844-42-4-4024-4-2444-2-400002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-444-44-4444-422202-22-2-2-2-2-220000-11-110000000033−33−333300000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-444-44-4444-422202-22-2-2-2-2-220000-11-1100000000−333333−3300000000000000000000000000000000000000000000000000000000

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