Finite Group Databasebeta

← Group #13156526

Character table — Group #13156526

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
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χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111
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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χ81111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-111111-111-1-1
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χ944-4-44-24-20042-42-2-422-2-21-2-22-22-12-112000003i−3i−3i3i0−4i4i001-11-100003i−3i−3i3i2i−2i002i−2i00−i−iii3-3-33000000000000000000000000000000000000
χ954-4-44-24-20042-42-2-422-2-21-2-22-22-12-11200000−3i3i3i−3i04i−4i001-11-10000−3i3i3i−3i−2i2i00−2i2i00ii−i−i3-3-33000000000000000000000000000000000000
χ964-4-44-24-20042-42-2-422-2-21-2-22-22-12-11200000−3i3i3i−3i0−4i4i001-11-10000−3i3i3i−3i2i−2i002i−2i00−i−iii-333-3000000000000000000000000000000000000
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
χ9988-8-88-4-4004-84-44-484-8-4-4242-244-2-44-40000000000000022-2-2000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-48004448-8-4-4-842-4-4-2-44-244-4420000000000000022-2-2000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-400444-44-4-444222-22-2-2-2-22-22000006i−6i6i−6i00000-1-1110000−3i3i−3i3i0000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-400444-44-4-444222-22-2-2-2-22-2200000−6i6i−6i6i00000-1-11100003i−3i3i−3i0000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-48-84-4-44444-44222-2-2-2222-2-2-2-444-4422-2-2-40000-111-12-22-2-1-1110000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-4-884-4-44444-44222-2-2-2222-2-2-24-4-44-4-2-22240000-111-1-22-2211-1-10000000000000000000000000000000000000000000000000000
χ1058-8-888-4-400-4-844-44-848-4-42-4-2244-24-44000000000000002-22-2000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-4-4800-444-8844-8-42-4-424-4-2444-4-2000000000000002-22-2000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-400-4444-4444-42222-22-2-2-2-22-2000006i−6i−6i6i00000-11-110000−3i3i3i−3i0000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-400-4444-4444-42222-22-2-2-2-22-200000−6i6i6i−6i00000-11-1100003i−3i−3i3i0000000000000000000000000000000000000000000000000000

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