Finite Group Databasebeta

← Group #13156573

Character table — Group #13156573

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
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χ31111111111111111111111111111111111111111111111111111111111111111111111-11-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-11-1-111-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111
χ51111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-11111
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χ9688-8-8-4-4-400-4444-4-44442222-22-2-2-2-2-220000−6i6i00−6i6i-1-11100003i−3i3i−3i00000000000000000000000000000000000000000000000000
χ978-88-88-4-400-8-44844-4-84-4-424-44244-2-4-200000000002-22-20000000000000000000000000000000000000000000000000000000000
χ988-88-8-48-400484-4-84-44-8-42-44-4-2-44-242400000000002-22-20000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-4-4004-44-444-444222-22-22-2-2-22-200006i−6i00−6i6i-11-1100003i−3i−3i3i00000000000000000000000000000000000000000000000000
χ1008-88-8-4-4-4004-44-444-444222-22-22-2-2-22-20000−6i6i006i−6i-11-110000−3i3i3i−3i00000000000000000000000000000000000000000000000000
χ1018-8-88-4-4-48-844-44444-4-4222-2-2-2-2222-2-2-4444-2-2-4-422-111-12-22-2-1-11100000000000000000000000000000000000000000000000000
χ1028-8-88-4-4-4-8844-44444-4-4222-2-2-2-2222-2-24-4-4-42244-2-2-111-1-22-2211-1-100000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.