Finite Group Databasebeta

← Group #11817747

Character table — Group #11817747

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444666666668888888888888888888888881212121212121212121212121212121224242424242424242424242424243636363636363636
order12222222336666666666666634466666661212121244444444441212121212121212121212121212121212121212121244444444121212121212121224661212121212121212121222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-111-1-111
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-1
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-111
χ91111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11-111-1-111-1-1-1-11111-1-1-1-111
χ101111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11-111-1-1-1-11111-1-1-1-11111-1-1
χ111111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-11-1-1111111-1-1-1-1-1-1-1-11111
χ121111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-11-1-111-1-1-1-111111111-1-1-1-1
χ131111111111111111111111111-1-11111111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-11-1-11111-1-1-1-111-1-11111-1-1
χ141111111111111111111111111-1-11111111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-11-1-111-1-11111-1-111-1-1-1-111
χ151111111111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-11-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111-111-1-11111-1-1-1-11111-1-1-1-1
χ161111111111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-11-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111-111-1-1-1-1-1-11111-1-1-1-11111
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χ18222222222-1222-1-12-1-12-1-1-122-122-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2111122-2-21111-1-1-1-1111100000000-1-1-1-1-1-1-1-1-2-211110000000000000000
χ19222222222-1222-1-12-1-12-1-1-122-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000011111111-2-211110000000000000000
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χ924-44-444-4-4-242-22-44-24-424-4-42-2-2−4i4i2-22-22-22−4i−4i4i4i00000000000000002i−2i0000002i2i−2i−2i000000000000000000000000000000000000000000
χ934-44-444-4-4-2-22-222-2-2-222-2222-214i−4i-11-11-11-1−2i−2i2i2i000000000000−2i32i323−23−2i2i00i3i3−i3−i3ii−i−i−3−33300000000000000000000000000000000000000
χ944-44-444-4-4-2-22-222-2-2-222-2222-214i−4i-11-11-11-1−2i−2i2i2i0000000000002i3−2i3−2323−2i2i00−i3−i3i3i3ii−i−i33−3−300000000000000000000000000000000000000
χ954-44-444-4-4-2-22-222-2-2-222-2222-21−4i4i-11-11-11-12i2i−2i−2i000000000000−2i32i3−23232i−2i00i3i3−i3−i3−i−iii33−3−300000000000000000000000000000000000000
χ964-44-444-4-4-2-22-222-2-2-222-2222-21−4i4i-11-11-11-12i2i−2i−2i0000000000002i3−2i323−232i−2i00−i3−i3i3i3−i−iii−3−33300000000000000000000000000000000000000
χ974-4-44-444-44-2-4442-2-42242-2-2-4-4-20022-2-2-22200004i−4i−4i4i000000000000000000000000000000000000−2i2i2i−2i00000000000000000000000000
χ984-4-44-444-44-2-4442-2-42242-2-2-4-4-20022-2-2-2220000−4i4i4i−4i0000000000000000000000000000000000002i−2i−2i2i00000000000000000000000000
χ994-4-44-444-4-242-2-2-442-4-4-2-44422-20022-2-2-2220000000000000000000000000000000000004-400000000000000000000-2200000000000000
χ1004-4-44-444-4-242-2-2-442-4-4-2-44422-20022-2-2-222000000000000000000000000000000000000-44000000000000000000002-200000000000000
χ1014-4-4-44-4444-2-4-4422-42-2-4-22-244-2002-222-22-2000000004-4-44000000000000000000000000000000000000-222-20000000000000000000000
χ1024-4-4-44-4444-2-4-4422-42-2-4-22-244-2002-222-22-200000000-444-40000000000000000000000000000000000002-2-220000000000000000000000
χ1034-4-4-44-444-2422-2-4-42-4424-44-2-2-2002-222-22-200000000000000000000000000000000000000004-40000000000000000000000-2200000000
χ1044-4-4-44-444-2422-2-4-42-4424-44-2-2-2002-222-22-20000000000000000000000000000000000000000-4400000000000000000000002-200000000
χ10588-888-8-8-8-4-4-444-44444-4-4-444-4200222-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-88-88-4-4-4-44-4-444-44444-442002-2-22-2-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-888-8-4-44-4-44-4444-44-4-444200-2-2222-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-88-888-4-444-44444-44-44-4-4-4200-22-2-22-2200000000000000000000000000000000000000000000000000000000000000000000000000

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