Finite Group Databasebeta

← Group #11824437

Character table — Group #11824437

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order122222223366666666666666223446666666121212124444266666666666666661212121212122244444444121212121212121244442266666612121212121244442
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111111111111-1-11111111-1-1-1-11111-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1
χ6111111111111111111111111111-1-11111111-1-1-1-11111-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-11
χ7111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11-1-1-1-1-1111111-1-111-1-11
χ8111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1-111-1
χ9111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1
χ10111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111111111-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-1111
χ11111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111111-1-111-1-1111
χ12111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1
χ13111111111111111111111111-1-11-1-11111111-1-1-1-111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11
χ14111111111111111111111111-1-11-1-11111111-1-1-1-111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-111-1-111111111-1
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χ16111111111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-11
χ17222222222-1222-1-1-1-12-1222-1-122-122-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12200220000-1-1-1-1-1-1-1-100002000-1-1-1-100000000000
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χ994-4-44-444-4-2422-2-4-4-4-4-242-22444-4-20022-22-22-2000000000-22004-400-2-222000000000000000000000000000000000000000000000000000
χ1004-4-44-444-4-2422-2-4-4-4-4-242-2244-44-20022-22-22-20000000002-200-440022-2-2000000000000000000000000000000000000000000000000000
χ1014-4-44-444-4-2-222-22222-2-22-22-2-24-4100-1-11-11-11−2i32i3−2i32i300000-2200-22−2i32i311-1-1i3i3−i3−i300i3−i3i3−i300000000000000000000000000000000000000000
χ1024-4-44-444-4-2-222-22222-2-22-22-2-24-4100-1-11-11-112i3−2i32i3−2i300000-2200-222i3−2i311-1-1−i3−i3i3i300−i3i3−i3i300000000000000000000000000000000000000000
χ1034-4-44-444-4-2-222-22222-2-22-22-2-2-44100-1-11-11-11−2i32i3−2i32i3000002-2002-22i3−2i3-1-111−i3−i3i3i300i3−i3i3−i300000000000000000000000000000000000000000
χ1044-4-44-444-4-2-222-22222-2-22-22-2-2-44100-1-11-11-112i3−2i32i3−2i3000002-2002-2−2i32i3-1-111i3i3−i3−i300−i3i3−i3i300000000000000000000000000000000000000000
χ1058888-8-8-8-8-4-4-4-4-4-4-44444444-4400200222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-88-88-4-4-444-44-4444-4-444-4002002-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-888-8-8-4-44-444-44-4444-4-44-400200-22-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-888-8-88-4-444-444-4-444-44-4-4400200-2-222-22-2000000000000000000000000000000000000000000000000000000000000000000000000

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