Finite Group Databasebeta

← Group #11887033

Character table — Group #11887033

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222222244444444444444444444444444488888888888888888812121212121212121212121218181818242424242424242424242424242424242424363636363636
order122222223344446666663444666666666661212121212121212121212126666121212121212121212121212121222446666121212128888222444666666121212121212888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-111-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111-1-111-1-1111111111-11-111-1-111-1-11111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-111111111111111111-1-1-11-1-1-111-1-1-1-111-1-1-1-111-1-1
χ6111111-1-111-1-1111111111-11-111-1-111-1-11111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11-11-1-111111-1-1-1-1-1-11111-1-111
χ7111111-1-111-1-1111111111-11-111-1-111-1-11111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-11-111-1-1-1-1-1111111-1-111-1-111
χ8111111-1-111-1-1111111111-11-111-1-111-1-11111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1111-1-11111-1-111-1-111-1-1
χ91111-1-11111-1-1111111111-1-11-1-111-1-1111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1111111111111111111-11-1-1-11-1-1-1-111-1-1-1-111-1-1-1-111
χ101111-1-11111-1-1111111111-1-11-1-111-1-1111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-111-11-111-1-111-1-111-1-11111-1-1
χ111111-1-11111-1-1111111111-1-11-1-111-1-1111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11-1-11-11-1-111-1-111-1-1111111-1-1
χ121111-1-11111-1-1111111111-1-11-1-111-1-1111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1111-11111-1-11111-1-1-1-1-1-111
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χ964-4-44-44-444-24-400-42-42-24-2000-44-442-22-2-2220000-224-400002-22-2000000-220000000000000000000000000000000000000000000000
χ974-4-44-44-44-244-4002-42-44-2-20002-22-2-44-44-22200004-4-2200002-22-2000000-220000000000000000000000000000000000000000000000
χ984-4-44-44-44-2-24-4002222-2-210002-22-22-22-21-1-10000-22-223i−3i3i−3i-11-110000001-13i−3i−3i3i−3i3i0000000000000000000000000000000000000000
χ994-4-44-44-44-2-24-4002222-2-210002-22-22-22-21-1-10000-22-22−3i3i−3i3i-11-110000001-1−3i3i3i−3i3i−3i0000000000000000000000000000000000000000
χ10088-8-800008-400008-4-844-8-4000000000004-440000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-80000-480000-484-8-84-4000000000004-440000000000000000000000000000000000000000000000000000000000000000000000
χ10288-8-80000-4-40000-4-44444200000000000-22-2000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000
χ10388-8-80000-4-40000-4-44444200000000000-22-200000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000
χ1048-88-80000-4-4008-844-4-444200000000000-2-22-44-44000022-2-20000000000000000000000000000000000000000000000000000000000
χ1058-88-80000-4-400-8844-4-444200000000000-2-224-44-40000-2-2220000000000000000000000000000000000000000000000000000000000

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