Finite Group Databasebeta

← Group #11792554

Character table — Group #11792554

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
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order122222223344446666666666666636666666121212121212121244121212121212121212121212121212121212121244448888121212121212121224242424242424242244666612121212888822
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1
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
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
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χ13222222222-12222222-1-1-1-1-1-1222-12-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-2-21111-1-1-1-1111111110000222200000000-1-1-1-1-1-1-1-1-2-20011110000000000
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χ924-44-4-44-44-2400002-22-44-4-4442-22-4-2-22-222-2-22000000000000000000000000000000000000000000−232323−2300000000000000000000000000
χ934-4-444-4-44440000-4-44-4-444-444-4-4-444-4-444-44-4000000000000000000000000000000000000000000000000000000000000000000000000
χ944-4-444-4-444-20000-4-4422-2-22-24-4-424-222-2-22-2200000000000000000000000000000000000000000000006−6−666−6−66000000000000000000
χ954-4-444-4-444-20000-4-4422-2-22-24-4-424-222-2-22-220000000000000000000000000000000000000000000000−666−6−666−6000000000000000000
χ964-4-444-4-44-24000022-2-4-444-44-222-4-2-222-2-22-220000000000000000000000000000000000000023−23−2323000000000000000000000000000000
χ974-4-444-4-44-24000022-2-4-444-44-222-4-2-222-2-22-2200000000000000000000000000000000000000−232323−23000000000000000000000000000000
χ984-4-4-4444-44-24-4-44-4-4-422-22-22444-2-4-222-22-22-24-4-44-22-220000000000-222-200000000000000000000000000000000000000000000000000
χ994-4-4-4444-4-244-4-44222-4-44-44-4-2-2-242-222-22-22-2-222-24-44-40000000000-222-200000000000000000000000000000000000000000000000000
χ1004-4-4-4444-4-24-444-4222-4-44-44-4-2-2-242-222-22-22-22-2-22-44-4400000000002-2-2200000000000000000000000000000000000000000000000000
χ1014-4-4-4444-4-2-24-4-4422222-22-22-2-2-2-221-1-11-11-11-222-2-22-2200000000001-1-113-3-33-333-3000000000000000000000000000000000000000000
χ1024-4-4-4444-4-2-24-4-4422222-22-22-2-2-2-221-1-11-11-11-222-2-22-2200000000001-1-11-333-33-3-33000000000000000000000000000000000000000000
χ1034-4-4-4444-4-2-2-444-422222-22-22-2-2-2-221-1-11-11-112-2-222-22-2000000−2i32i32i3−2i3-111-1i3−i3−i3i3i3−i3−i3i3000000000000000000000000000000000000000000
χ1044-4-4-4444-4-2-2-444-422222-22-22-2-2-2-221-1-11-11-112-2-222-22-20000002i3−2i3−2i32i3-111-1−i3i3i3−i3−i3i3i3−i3000000000000000000000000000000000000000000
χ105888-88-8-8-8-4-40000-4-44-4-4-4444-444442222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-88-88-8-8-4-40000-44-4-444-4-444-444422-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-88-88-4-400004-444-444-4-44-444-42-22-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-888-8-88-4-4000044-444-4-44-4-4444-42-2-222-22-2000000000000000000000000000000000000000000000000000000000000000000000000

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