Finite Group Databasebeta

← Group #11792557

Character table — Group #11792557

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
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χ904-44-44-44-44-20000-44-44-442-22-222-2-4-22-22-22-2200000000000000000000000000000000000000−i6i6−i6i6i6−i6i6−i600000000000000000000000000
χ914-44-44-44-4-2400002-22-22-2-44-44-4-442-22-22-22-2200000000000000000000000000000000000000000000006−66−6−66−66000000000000000000
χ924-44-44-44-4-2400002-22-22-2-44-44-4-442-22-22-22-220000000000000000000000000000000000000000000000−66−666−66−6000000000000000000
χ934-4-4444-4-44-24-44-4-4-44-4-4422-222-2-24-222-222-2-2-22-24-4-424000000000000000000-22-22000000000000000000000000000000000000000000
χ944-4-4444-4-4-24-44-4422-222-2-4-44-4-444-2-222-222-2-2-44-42-2-2420000000000000000002-22-2000000000000000000000000000000000000000000
χ954-4-4444-4-4-2-24-44-422-222-222-222-2-2-21-1-11-1-111-22-2-2222-200−2i32i3−2i32i30000i3−i3−i3i3−i3i3i3−i31-11-1000000000000000000000000000000000000000000
χ964-4-4444-4-4-2-24-44-422-222-222-222-2-2-21-1-11-1-111-22-2-2222-2002i3−2i32i3−2i30000−i3i3i3−i3i3−i3−i3i31-11-1000000000000000000000000000000000000000000
χ974-4-4444-4-4-2-2-44-4422-222-222-222-2-2-21-1-11-1-1112-222-2-2-22000000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i3-11-11000000000000000000000000000000000000000000
χ984-4-4444-4-4-2-2-44-4422-222-222-222-2-2-21-1-11-1-1112-222-2-2-220000002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i3-11-11000000000000000000000000000000000000000000
χ994-4-4-4-44444-24-4-44-4-4-444-4222-2-2-224-2222-2-22-2-2224-44-2-4000000000000000000-222-2000000000000000000000000000000000000000000
χ1004-4-4-4-4444-244-4-44222-2-22-4-4-4444-4-2-2222-2-22-24-4-4-22-242000000000000000000-222-2000000000000000000000000000000000000000000
χ1014-4-4-4-4444-2-24-4-44222-2-22222-2-2-22-21-1-1-111-11-222-22-2-2200000000003-3-333-3-331-1-11000000000000000000000000000000000000000000
χ1024-4-4-4-4444-2-24-4-44222-2-22222-2-2-22-21-1-1-111-11-222-22-2-220000000000-333-3-333-31-1-11000000000000000000000000000000000000000000
χ1034-4-4-4-4444-2-2-444-4222-2-22222-2-2-22-21-1-1-111-112-2-22-222-24-4-222-2-222-21-11-1-11-11-111-1000000000000000000000000000000000000000000
χ1044-4-4-4-4444-2-2-444-4222-2-22222-2-2-22-21-1-1-111-112-2-22-222-2-442-2-222-2-22-11-111-11-1-111-1000000000000000000000000000000000000000000
χ10588-88-8-88-8-4-40000-44-4-444-44-4-4444422-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-88-8-88-4-40000-4444-4-4-4444-44-4422-2-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-888-8-8-88-4-400004-4-44-444-4-44-44442-222-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-88-88-8-4-400004-44-44-44-44-444-442-22-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000

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