Finite Group Databasebeta

← Group #11808759

Character table — Group #11808759

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444888888888888888888888888999999991212121212121212121212121212121224242424242424242424242424242424363636363636
order122222223366666666666666344444466666661212121212121212121212121212121212121212121212124444444422224444444444446666121212121212121212121212222244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-111-1-1-1-1-1-1
χ5111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ6111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ7111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1111111-1-11111-1-1
χ8111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1111111-1-1
χ91111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1
χ101111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-11111-1-1-1-111-1-111-1-11111-1-111-1-1-1-1
χ111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111
χ121111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-11111-1-11111
χ131111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ141111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-11111-1-111-1-111-1-1-1-11111-1-111-1-111-1-1-1-111-1-1
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χ161111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-111
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χ1014-4-44-444-44-2-4-44-2-2-2-424422-42-20000002-22-2-22200000000000000000000000000000000004-400000000000000-22000000000000000000
χ1024-4-44-444-44-2-4-44-2-2-2-424422-42-20000002-22-2-2220000000000000000000000000000000000-44000000000000002-2000000000000000000
χ1034-4-44-444-4-2422-24442-4-2-2-4-42-4-20000002-22-2-222000000000000000000000000000000000000000000004i−4i00000000000000−2i2i00000000
χ1044-4-44-444-4-2422-24442-4-2-2-4-42-4-20000002-22-2-22200000000000000000000000000000000000000000000−4i4i000000000000002i−2i00000000
χ1058-88-88-88-8-4-4-4-4-444-44444-4-44420000002-22-22-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-88-88-4-4-4444-44444-4-44-4-420000002-2-22-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-888-8-88-4-44-44-44444-444-4-4-42000000-222-2-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-888-8-4-444-4-4-4-444-4-444442000000-22-222-2-20000000000000000000000000000000000000000000000000000000000000000000000

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