Finite Group Databasebeta

← Group #13172315

Character table — Group #13172315

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222222244444444444444444444448888888888881212121212121212121212121212121212121212121224242424242424242424242424242424363636363636363636365454545472727272
order122222333666666666333666666666666666666636666666666622444412121212121212121212121212121212666666661212121212121212224444121212122222661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-1111-111111111111111111-11-111-1-11-11-111-1-11-1-1-11-1-1-1-1-1-1-1-1-11-11-1
χ411111111111111111111111111111111111111111111111111111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11-11-111-1-1-11-1-1-11-1-1-1-11111-11-11
χ51111111111111111111111111111111111111111111111111111-1111-111111111111111111-11-11-1-111-11-11-1-111-11-1-1-11-1-1-1-1-1-1-1-1-11-11
χ61111111111111111111111111111111111111111111111111111-11-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-11-11-1-1111-1-1-11-1-1-1-1-111111-11-1
χ71111111111111111111111111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111
χ91111-1-1111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1111-1-1-1-1111-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1111-1-111-1-11-1-11
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χ9988-8-800-48-4-4-8448-4-844-4-42000000440000-442-24-2-420000-22-2000000000000000000000000000000000000000000000000000000000000
χ10088-8-800-4-48-44-84-484-84-42-40000004400002-2-44-24-420000-22-2000000000000000000000000000000000000000000000000000000000000
χ10188-8-800-4-4-4-4444-4-4444222000000-2-26-66-62-22-2-2-22-100001-11-33-3300000000000000000000000000000000000000000000000000000000
χ10288-8-800-4-4-4-4444-4-4444222000000-2-2-66-662-22-2-2-22-100001-113-33-300000000000000000000000000000000000000000000000000000000
χ1038-88-800-48-448-44-84-84-4-4-420000004-400004-4-224-2420000-2-22000000000000000000000000000000000000000000000000000000000000
χ1048-88-800-4-484-4844-84-8-4-42-40000004-40000-224-4-24420000-2-22000000000000000000000000000000000000000000000000000000000000
χ1058-88-800-4-4-44-4-444444-4222000000-226-6-66-22-22-2-2-2-1000011-1-333-300000000000000000000000000000000000000000000000000000000
χ1068-88-800-4-4-44-4-444444-4222000000-22-666-6-22-22-2-2-2-1000011-13-3-3300000000000000000000000000000000000000000000000000000000
χ1078-8-888-8-4-4-4444-444-4-44222-44-44-442-222-2-2-2-2-2-222-2-12-22-2-111-1-11100000000000000000000000000000000000000000000000000000000
χ1088-8-88-88-4-4-4444-444-4-442224-44-44-42-2-2-222-2-2-2-222-2-1-22-22-11111-1-100000000000000000000000000000000000000000000000000000000

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