Finite Group Databasebeta

← Group #13156516

Character table — Group #13156516

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
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χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111
χ51111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
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χ954-4-44-244002-4-4-44-22-44-2-2422-22-4-44-2200000000000000-22-22000000000000000000000000−2i22i22i2−2i2000000000000000000i2−i2−i2i20000000000
χ964-4-44-244002-4-4-44-22-44-2-2422-22-4-44-2200000000000000-22-220000000000000000000000002i2−2i2−2i22i2000000000000000000−i2i2i2−i20000000000
χ978888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-42222-40000-1-1-1-12222-1-1-1-10000000000000000000000000000000000000000000000000000
χ988888-4-4-4-8-8-4-4-4-4-4-4-4-4-422222222222244444-2-2-2-240000-1-1-1-1-2-2-2-211110000000000000000000000000000000000000000000000000000
χ9988-8-8-48-400-4-88-44444-8-42-4-42-244-444-20000000000000022-2-2000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4800-44-48-844-842-4-42-44-24-44-240000000000000022-2-2000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-400-44-4-44444422222-2-2-22-2-2-2000006i−6i6i−6i00000-1-1110000−3i3i−3i3i0000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-400-44-4-44444422222-2-2-22-2-2-200000−6i6i−6i6i00000-1-11100003i−3i3i−3i0000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-48-84-44444-4-44222-2-2-222-2-2-22-444-4422-2-2-40000-111-12-22-2-1-1110000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-4-884-44444-4-44222-2-2-222-2-2-224-4-44-4-2-22240000-111-1-22-2211-1-10000000000000000000000000000000000000000000000000000
χ1058-8-88-48-4004-8-84-4-4448-42-44-22444-4-4-2000000000000002-22-2000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-4-4800444-88-44-8-42-4-4-24-4-244-424000000000000002-22-2000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-4004444-4-444-4222-2-22-2-2-222-2000006i−6i−6i6i00000-11-110000−3i3i3i−3i0000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-4004444-4-444-4222-2-22-2-2-222-200000−6i6i6i−6i00000-11-1100003i−3i−3i3i0000000000000000000000000000000000000000000000000000

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