Finite Group Databasebeta

← Group #13156576

Character table — Group #13156576

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
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χ31111111111111111111111111111111111111111111111111111111111111111111111-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1
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
χ61111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-1-1-11111
χ71111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-111
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
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χ958-88-8-48-4004-8-4-48444-8-42-442-2-4444-4-2000000000022-2-20000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-4800448-4-44-8-842-4-4-2-44-44-2424000000000022-2-20000000000000000000000000000000000000000000000000000000000
χ978-88-8-4-4-40044-4-4-44444222-22-22-2-2-22-20006i−6i006i−6i0-1-1110000−3i3i−3i3i00000000000000000000000000000000000000000000000000
χ988-88-8-4-4-40044-4-4-44444222-22-22-2-2-22-2000−6i6i00−6i6i0-1-11100003i−3i3i−3i00000000000000000000000000000000000000000000000000
χ998-8-88-48-400-4844-844-4-8-42-4-4-224-4444-200000000002-22-20000000000000000000000000000000000000000000000000000000000
χ1008-8-88-4-4800-4-4-8444-8842-4-424-44-4-24-2400000000002-22-20000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4-400-4-444444-442222-22-22-2-2-2-20006i−6i00−6i6i0-11-1100003i−3i−3i3i00000000000000000000000000000000000000000000000000
χ1028-8-88-4-4-400-4-444444-442222-22-22-2-2-2-2000−6i6i006i−6i0-11-110000−3i3i3i−3i00000000000000000000000000000000000000000000000000

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