Finite Group Databasebeta

← Group #11824434

Character table — Group #11824434

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444666666668888888888888888888888881212121212121212121212121212121224242424242424242424242424243636363636363636
order122222223366666666666666344666666612121212444444442266666666666666661212121212122244444412121212121212122266666612121212121222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-111
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-111
χ91111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-11-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11111-1-1-1-111-1-11111-1-1-1-1
χ101111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-11-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-111-1-111-1-111-1-1-1-11111
χ111111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-1-11-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1111-1-111-1-1-1-11111-1-111-1-1
χ121111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-1-11-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-11-1-1-1-1111111-1-1-1-111-1-111
χ131111111111111111111111111-1-11111111-1-1-1-1-1-1-1-111111-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1111-1-111-1-111-1-1-1-1-1-11111
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χ984-4-444-4-44-2-222-22222-2-2-222-2-214-4-1-111-1-11-2-222000000000000002i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i3-2211-1-100000000000000000000000000000000000000
χ994-4-444-4-44-2-222-22222-2-2-222-2-21-44-1-111-1-1122-2-200000000000000−2i32i32i3−2i3i3i3−i3−i3−i3−i3i3i32-2-1-11100000000000000000000000000000000000000
χ1004-4-444-4-44-2-222-22222-2-2-222-2-21-44-1-111-1-1122-2-2000000000000002i3−2i3−2i32i3−i3−i3i3i3i3i3−i3−i32-2-1-11100000000000000000000000000000000000000
χ1014-4-4-4444-44-2-4-4422-2-2-42-444-22-20022-22-2-2200004-4-44000000000000000000000000000000000000-222-200000000000000000000000000
χ1024-4-4-4444-44-2-4-4422-2-2-42-444-22-20022-22-2-220000-444-40000000000000000000000000000000000002-2-2200000000000000000000000000
χ1034-4-4-4444-4-2422-2-4-4442-42-2-24-4-20022-22-2-220000000000000000000000000000000000004-40000000000000000-22000000000000000000
χ1044-4-4-4444-4-2422-2-4-4442-42-2-24-4-20022-22-2-22000000000000000000000000000000000000-4400000000000000002-2000000000000000000
χ105888-88-8-8-8-4-4-4-4-4-4-44444444-44200222-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-88-88-4-4-444-44-4444-4-444-42002-2-222-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-8-888-4-44-444-44-444-44-44-4200-22-22-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-8888-8-4-444-444-4-4444-4-4-44200-2-22-222-200000000000000000000000000000000000000000000000000000000000000000000000000

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