Finite Group Databasebeta

← Group #11812844

Character table — Group #11812844

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444666666668888888888888888888888881212121212121212121212121212121224242424242424242424242424243636363636363636
order12222222336666666666666634466666661212121222224444441212121212121212121212121212121212121212121222444444666612121212246666121212121212121244444444
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
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-111-1-111-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
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
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-111-1-1
χ91111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1111-1-111-1-111-1-11111-1-1-1-1
χ101111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-11-1-1-1-11111-1-111-1-1-1-11111
χ111111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11-11111-1-1-1-1-1-11111-1-1-1-111
χ121111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-11-1-1-111-1-11111-1-1-1-11111-1-1
χ131111111111111111111111111-1-11111111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-111111-11111-1-1-1-111-1-1-1-1-1-11111
χ141111111111111111111111111-1-11111111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-111111-1-1-111-1-111-1-1111111-1-1-1-1
χ151111111111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1111-1-111-1-1-1-111-1-11111-1-1
χ161111111111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-11-1-1-1-1111111-1-111-1-1-1-111
χ17222222222-122-1-1-122-1-122-12-1-122-1-1-1-1-1-1-1-1-1-1-1222222222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-12200-1-1-1-100000000000000
χ18222222222-122-1-1-122-1-122-12-1-122-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-211-2-21122-1-1-1-11111111100000000-1-1-1-1-1-1-1-1-2-200111100000000000000
χ19222222222-122-1-1-122-1-122-12-1-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000000011111111-2-200111100000000000000
χ20222222222-122-1-1-122-1-122-12-1-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-211-2-21122-1-1-1-11111111100000000111111112200-1-1-1-100000000000000
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χ954-44-4-4-444-24224-4-42-2-44-22-4-24-200-22222-2-200000000000000000000000000000000000000004-400000000000000000000-220000000000
χ964-44-4-4-444-24224-4-42-2-44-22-4-24-200-22222-2-20000000000000000000000000000000000000000-44000000000000000000002-20000000000
χ974-4-444-44-44-2-44-22-2-4-42244-2-42-200-22-2-2222000000004i−4i−4i4i000000000000000000000000000000000000−2i2i2i−2i0000000000000000000000
χ984-4-444-44-44-2-44-22-2-4-42244-2-42-200-22-2-222200000000−4i4i4i−4i0000000000000000000000000000000000002i−2i−2i2i0000000000000000000000
χ994-4-444-44-4-242-24-4422-4-4-2-242-4-200-22-2-22220000000000000000000000000000000000000000004i−4i00000000000000000000−2i2i00000000
χ1004-4-444-44-4-242-24-4422-4-4-2-242-4-200-22-2-2222000000000000000000000000000000000000000000−4i4i000000000000000000002i−2i00000000
χ1014-4-4-444-444-2-4-422-24-4-22-4424-2-200222-2-22-200004-4-44000000000000000000000000000000000000-222-200000000000000000000000000
χ1024-4-4-444-444-2-4-422-24-4-22-4424-2-200222-2-22-20000-444-40000000000000000000000000000000000002-2-2200000000000000000000000000
χ1034-4-4-444-44-2422-4-44-224-42-2-4-24-200222-2-22-20000000000000000000000000000000000004-40000000000000000-22000000000000000000
χ1044-4-4-444-44-2422-4-44-224-42-2-4-24-200222-2-22-2000000000000000000000000000000000000-4400000000000000002-2000000000000000000
χ1058-888-88-8-8-4-44-4444-4-4-4-444-444200-2-22-222-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-8-888-4-444-4444-44-4-444-4-42002-2-2-2-22200000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-888-88-8-4-44-4-44-44444-4-4-4442002-222-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-888-88-4-44444-4-44-444-44-4-4200-2-2-222-2200000000000000000000000000000000000000000000000000000000000000000000000000

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