Finite Group Databasebeta

← Group #72239354

Character table — Group #72239354

Order 12288.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1133446666666612121212121212122424242424242424242424242424242424242424242424242424242424242424242424249696969696969696969696969696969619219219219219219219219210241024102410241024102410241024
order1222444444444422444444444444444444444444444444444444444444244444448888888888888888336612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
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χ633333333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-133333333-1-1-1-1-1-1-1-100000000
χ733333333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-100000000
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χ8724-2424-2424i−24i−8i−8i8i8i0000-8800000000000000000000000000000000000000000000000000000000000000000000000000
χ8824-2424-24−24i24i8i8i−8i−8i0000-8800000000000000000000000000000000000000000000000000000000000000000000000000
χ8948-48-16160016i−16i−16i16i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9048-48-161600−16i16i16i−16i00000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.