Finite Group Databasebeta

← Group #14546306

Character table — Group #14546306

Order 2187.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size111111111333333333333333333333333999999999999999999272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727
order133333333333333333333333333333333999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ3111111111111111111111111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ4111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ5111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ6111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111
χ7111111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ8111111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111
χ9111111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ101−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32ζζζζ4ζ4ζ4ζ7ζ7ζ7ζ2ζ2ζ2ζ5ζ5ζ5ζ8ζ8ζ8111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32ζζζζ4ζ4ζ4ζ7ζ7ζ7ζ2ζ2ζ2ζ5ζ5ζ5ζ8ζ8ζ8111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32ζζζζ4ζ4ζ4ζ7ζ7ζ7ζ2ζ2ζ2ζ5ζ5ζ5ζ8ζ8ζ8
χ111−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32ζζζζ4ζ4ζ4ζ7ζ7ζ7ζ2ζ2ζ2ζ5ζ5ζ5ζ8ζ8ζ8−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111ζ4ζ4ζ4ζ7ζ7ζ7ζζζζ5ζ5ζ5ζ8ζ8ζ8ζ2ζ2ζ2−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32ζ7ζ7ζ7ζζζζ4ζ4ζ4ζ8ζ8ζ8ζ2ζ2ζ2ζ5ζ5ζ5
χ121−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32ζζζζ4ζ4ζ4ζ7ζ7ζ7ζ2ζ2ζ2ζ5ζ5ζ5ζ8ζ8ζ8−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32ζ7ζ7ζ7ζζζζ4ζ4ζ4ζ8ζ8ζ8ζ2ζ2ζ2ζ5ζ5ζ5−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111ζ4ζ4ζ4ζ7ζ7ζ7ζζζζ5ζ5ζ5ζ8ζ8ζ8ζ2ζ2ζ2
χ131−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ4ζ4ζ4ζ7ζ7ζ7ζζζζ8ζ8ζ8ζ2ζ2ζ2ζ5ζ5ζ5111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32ζ4ζ4ζ4ζ7ζ7ζ7ζζζζ8ζ8ζ8ζ2ζ2ζ2ζ5ζ5ζ5111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32ζ4ζ4ζ4ζ7ζ7ζ7ζζζζ8ζ8ζ8ζ2ζ2ζ2ζ5ζ5ζ5
χ141−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ4ζ4ζ4ζ7ζ7ζ7ζζζζ8ζ8ζ8ζ2ζ2ζ2ζ5ζ5ζ5−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111ζ7ζ7ζ7ζζζζ4ζ4ζ4ζ2ζ2ζ2ζ5ζ5ζ5ζ8ζ8ζ8−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32ζζζζ4ζ4ζ4ζ7ζ7ζ7ζ5ζ5ζ5ζ8ζ8ζ8ζ2ζ2ζ2
χ151−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ4ζ4ζ4ζ7ζ7ζ7ζζζζ8ζ8ζ8ζ2ζ2ζ2ζ5ζ5ζ5−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32ζζζζ4ζ4ζ4ζ7ζ7ζ7ζ5ζ5ζ5ζ8ζ8ζ8ζ2ζ2ζ2−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111ζ7ζ7ζ7ζζζζ4ζ4ζ4ζ2ζ2ζ2ζ5ζ5ζ5ζ8ζ8ζ8
χ161−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ7ζ7ζ7ζζζζ4ζ4ζ4ζ5ζ5ζ5ζ8ζ8ζ8ζ2ζ2ζ2111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32ζ7ζ7ζ7ζζζζ4ζ4ζ4ζ5ζ5ζ5ζ8ζ8ζ8ζ2ζ2ζ2111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32ζ7ζ7ζ7ζζζζ4ζ4ζ4ζ5ζ5ζ5ζ8ζ8ζ8ζ2ζ2ζ2
χ171−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ7ζ7ζ7ζζζζ4ζ4ζ4ζ5ζ5ζ5ζ8ζ8ζ8ζ2ζ2ζ2−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111ζζζζ4ζ4ζ4ζ7ζ7ζ7ζ8ζ8ζ8ζ2ζ2ζ2ζ5ζ5ζ5−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32ζ4ζ4ζ4ζ7ζ7ζ7ζζζζ2ζ2ζ2ζ5ζ5ζ5ζ8ζ8ζ8
χ181−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ7ζ7ζ7ζζζζ4ζ4ζ4ζ5ζ5ζ5ζ8ζ8ζ8ζ2ζ2ζ2−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32ζ4ζ4ζ4ζ7ζ7ζ7ζζζζ2ζ2ζ2ζ5ζ5ζ5ζ8ζ8ζ8−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111ζζζζ4ζ4ζ4ζ7ζ7ζ7ζ8ζ8ζ8ζ2ζ2ζ2ζ5ζ5ζ5
χ191−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ2ζ2ζ2ζ8ζ8ζ8ζ5ζ5ζ5ζ4ζ4ζ4ζζζζ7ζ7ζ7111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32ζ2ζ2ζ2ζ8ζ8ζ8ζ5ζ5ζ5ζ4ζ4ζ4ζζζζ7ζ7ζ7111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32ζ2ζ2ζ2ζ8ζ8ζ8ζ5ζ5ζ5ζ4ζ4ζ4ζζζζ7ζ7ζ7
χ201−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ2ζ2ζ2ζ8ζ8ζ8ζ5ζ5ζ5ζ4ζ4ζ4ζζζζ7ζ7ζ7−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32ζ5ζ5ζ5ζ2ζ2ζ2ζ8ζ8ζ8ζ7ζ7ζ7ζ4ζ4ζ4ζζζ−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111ζ8ζ8ζ8ζ5ζ5ζ5ζ2ζ2ζ2ζζζζ7ζ7ζ7ζ4ζ4ζ4
χ211−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ2ζ2ζ2ζ8ζ8ζ8ζ5ζ5ζ5ζ4ζ4ζ4ζζζζ7ζ7ζ7−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111ζ8ζ8ζ8ζ5ζ5ζ5ζ2ζ2ζ2ζζζζ7ζ7ζ7ζ4ζ4ζ4−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32ζ5ζ5ζ5ζ2ζ2ζ2ζ8ζ8ζ8ζ7ζ7ζ7ζ4ζ4ζ4ζζζ
χ221−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ5ζ5ζ5ζ2ζ2ζ2ζ8ζ8ζ8ζζζζ7ζ7ζ7ζ4ζ4ζ4111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32ζ5ζ5ζ5ζ2ζ2ζ2ζ8ζ8ζ8ζζζζ7ζ7ζ7ζ4ζ4ζ4111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32ζ5ζ5ζ5ζ2ζ2ζ2ζ8ζ8ζ8ζζζζ7ζ7ζ7ζ4ζ4ζ4
χ231−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ5ζ5ζ5ζ2ζ2ζ2ζ8ζ8ζ8ζζζζ7ζ7ζ7ζ4ζ4ζ4−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32ζ8ζ8ζ8ζ5ζ5ζ5ζ2ζ2ζ2ζ4ζ4ζ4ζζζζ7ζ7ζ7−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111ζ2ζ2ζ2ζ8ζ8ζ8ζ5ζ5ζ5ζ7ζ7ζ7ζ4ζ4ζ4ζζζ
χ241−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ5ζ5ζ5ζ2ζ2ζ2ζ8ζ8ζ8ζζζζ7ζ7ζ7ζ4ζ4ζ4−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111ζ2ζ2ζ2ζ8ζ8ζ8ζ5ζ5ζ5ζ7ζ7ζ7ζ4ζ4ζ4ζζζ−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32ζ8ζ8ζ8ζ5ζ5ζ5ζ2ζ2ζ2ζ4ζ4ζ4ζζζζ7ζ7ζ7
χ251−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ8ζ8ζ8ζ5ζ5ζ5ζ2ζ2ζ2ζ7ζ7ζ7ζ4ζ4ζ4ζζζ111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32ζ8ζ8ζ8ζ5ζ5ζ5ζ2ζ2ζ2ζ7ζ7ζ7ζ4ζ4ζ4ζζζ111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32ζ8ζ8ζ8ζ5ζ5ζ5ζ2ζ2ζ2ζ7ζ7ζ7ζ4ζ4ζ4ζζζ
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Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.