Finite Group Databasebeta

← Group #13156506

Character table — Group #13156506

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
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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
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χ954-4-44-24-200-42-4222-24-2-21-222-22-12-11-200000−3i3i3i−3i0004-41-11-10000−3i3i3i−3i0000-22-223i−3i−3i3i11-1-1000000000000000000000000000000000000
χ964-4-44-24-200-42-4222-24-2-21-222-22-12-11-200000−3i3i3i−3i000-441-11-10000−3i3i3i−3i00002-22-2−3i3i3i−3i-1-111000000000000000000000000000000000000
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
χ9988-8-8-4-4-48-84-4-4-444444222-2-2-2222-2-2-2-444-4422-2-2-40000-111-12-22-2-1-1110000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-4-884-4-4-444444222-2-2-2222-2-2-24-4-44-4-2-22240000-111-1-22-2211-1-10000000000000000000000000000000000000000000000000000
χ1018-88-88-4-400-4-8448-444-8-4-42-42-244-2-4440000000000000022-2-2000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4800-444-8-48-8442-4-42-44-244-44-20000000000000022-2-2000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-400-4444-4-444422222-2-2-2-22-2-2000006i−6i6i−6i00000-1-1110000−3i3i−3i3i0000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-400-4444-4-444422222-2-2-2-22-2-200000−6i6i−6i6i00000-1-11100003i−3i3i−3i0000000000000000000000000000000000000000000000000000
χ1058-8-888-4-4004-844-84-4-48-4-424-2244-24-4-4000000000000002-22-2000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-4-4800444-84-88-4-42-4-4-24-4-2444-42000000000000002-22-2000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-400444444-4-4-4222-2-22-2-2-2-222000006i−6i−6i6i00000-11-110000−3i3i3i−3i0000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-400444444-4-4-4222-2-22-2-2-2-22200000−6i6i6i−6i00000-11-1100003i−3i−3i3i0000000000000000000000000000000000000000000000000000

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