Finite Group Databasebeta

← Group #11808910

Character table — Group #11808910

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444888888888888888888888888999999991212121212121212121212121212121224242424242424242424242424242424363636363636
order12222222336666666666666622344446666666666666661212121212121212121212121212121244444444444444444444444412121212121212121212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ5111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-111
χ6111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-111
χ7111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-11111-1-111-1-1-1-1111111-1-1
χ8111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-1-111-1-11111-1-11111-1-1
χ9111111111111111111111111-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ10111111111111111111111111-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ11111111111111111111111111-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111
χ12111111111111111111111111-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111
χ13111111111111111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111111111-1-1-1-111-1-11111-1-111-1-111-1-1-1-111-1-111-1-111-1-1
χ14111111111111111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111111111-1-11111-1-111-1-1-1-111-1-111-1-11111-1-111-1-1-1-111-1-1
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χ16111111111111111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-111
χ17222222222-12222-1-1-1-1-1-1222-122-12222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000022222222-1-1-1-100000000-1-1-1-1000000
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χ1024-4-44-444-4-2-2-2-2-222222-2-2222-24-4100001-111-1-1-1-22-2211-1-100000000−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000000000000000000000
χ1034-4-44-444-4-2-2-2-2-222222-2-2222-2-44100001-111-1-1-12-22-2-1-111000000003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000000000000000
χ1044-4-44-444-4-2-2-2-2-222222-2-2222-2-44100001-111-1-1-12-22-2-1-11100000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000000000000000
χ10588-8-888-8-8-4-44-444-44-44-44-44-440020000-222-2-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-8-888-4-444-4-44-4-444-4-44440020000-2-2-2222-20000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-88-88-8-4-444-44-444-44-44-4-440020000-22-22-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-88-88-4-44-44-44-44-4-444-4440020000-2-22-22-220000000000000000000000000000000000000000000000000000000000000000000000

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