Finite Group Databasebeta

← Group #11794576

Character table — Group #11794576

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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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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χ964-4-444-4-44-24000022-2-22-4-44-4-2442-4-222-2-222-20000000000000000000000000000000000−2i22i2−2i22i200000000i2−i2−i2i2−i2i2i2−i2000000000000000000
χ974-4-444-4-44-24000022-2-22-4-44-4-2442-4-222-2-222-200000000000000000000000000000000002i2−2i22i2−2i200000000−i2i2i2−i2i2−i2−i2i2000000000000000000
χ984-4-4-4444-44-24-4-44-4-44-44222-2-42-24-2-222-22-2-22-222-24-4-440000000000-222-200000000000000000000000000000000000000000000000000
χ994-4-4-4444-44-2-444-4-4-44-44222-2-42-24-2-222-22-2-222-2-22-444-400000000002-2-2200000000000000000000000000000000000000000000000000
χ1004-4-4-4444-4-244-4-4422-22-2-4-4-442-44-24-222-22-2-224-4-44-222-20000000000-222-200000000000000000000000000000000000000000000000000
χ1014-4-4-4444-4-2-24-4-4422-22-2222-222-2-2-21-1-11-111-1-222-2-222-200000000001-1-113i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000000000
χ1024-4-4-4444-4-2-24-4-4422-22-2222-222-2-2-21-1-11-111-1-222-2-222-200000000001-1-11−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000000000
χ1034-4-4-4444-4-2-2-444-422-22-2222-222-2-2-21-1-11-111-12-2-222-2-220023−23−23230000-111-1−333−3−333−3000000000000000000000000000000000000000000
χ1044-4-4-4444-4-2-2-444-422-22-2222-222-2-2-21-1-11-111-12-2-222-2-2200−232323−230000-111-13−3−333−3−33000000000000000000000000000000000000000000
χ105888-88-8-8-8-4-40000-4-4-444-4-44444-4442222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-8-888-4-40000-4444-4-4444-4-444-422-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-888-8-88-8-4-400004-44-4-44-4-444444-42-22-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-888-8-88-4-4000044-4-4444-44-4-4-4442-2-222-2-22000000000000000000000000000000000000000000000000000000000000000000000000

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