Finite Group Databasebeta

← Group #11772210

Character table — Group #11772210

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111111122222222222244444444444444444444444444444444444444444444444444444444444444449999999918181818181818181818181836363636363636363636363636363636
order122244444444888888883366666612121212121212121212121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424248888888888888888888816161616161616161616161616161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii
χ5111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii
χ8111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i
χ91111-1-1-1-1-1-111iiii−i−i−i−i1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−iii−i−iii−i−i1111-1-1-1-1ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2
χ101111-1-1-1-1-1-111iiii−i−i−i−i1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−iii−i−iii−i−i1111-1-1-1-1−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2
χ111111-1-1-1-1-1-111iiii−i−i−i−i1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−iii−i−iii-1-1-1-11111ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6
χ121111-1-1-1-1-1-111iiii−i−i−i−i1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−iii−i−iii-1-1-1-11111−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6
χ131111-1-1-1-1-1-111−i−i−i−iiiii1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiii−i−iii−i−iii−i−i-1-1-1-11111ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2
χ141111-1-1-1-1-1-111−i−i−i−iiiii1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiii−i−iii−i−iii−i−i-1-1-1-11111−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2
χ151111-1-1-1-1-1-111−i−i−i−iiiii1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−iii−i−iii−i−iii1111-1-1-1-1ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6
χ161111-1-1-1-1-1-111−i−i−i−iiiii1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−iii−i−iii−i−iii1111-1-1-1-1−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6
χ1711-1-1ii−i−ii−i1-1ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ61111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ611-1-1ii−i−iζ−ζζ5−ζ5ζ3−ζ3ζ7−ζ7ζ3−ζ3ζ7−ζ7ζ−ζζ5−ζ5
χ1811-1-1ii−i−ii−i1-1ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ61111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ611-1-1ii−i−i−ζζ−ζ5ζ5−ζ3ζ3−ζ7ζ7−ζ3ζ3−ζ7ζ7−ζζ−ζ5ζ5
χ1911-1-1ii−i−ii−i1-1ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ61111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6-1-111−i−iiiζ5−ζ5−ζζζ7−ζ7−ζ3ζ3−ζ7ζ7ζ3−ζ3−ζ5ζ5ζ−ζ
χ2011-1-1ii−i−ii−i1-1ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ61111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6-1-111−i−iii−ζ5ζ5ζ−ζ−ζ7ζ7ζ3−ζ3ζ7−ζ7−ζ3ζ3ζ5−ζ5−ζζ
χ2111-1-1ii−i−ii−i1-1−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ61111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6-1-111−i−iiiζ−ζζ5−ζ5−ζ3ζ3−ζ7ζ7ζ3−ζ3ζ7−ζ7−ζζ−ζ5ζ5
χ2211-1-1ii−i−ii−i1-1−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ61111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6-1-111−i−iii−ζζ−ζ5ζ5ζ3−ζ3ζ7−ζ7−ζ3ζ3−ζ7ζ7ζ−ζζ5−ζ5
χ2311-1-1ii−i−ii−i1-1−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ61111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ611-1-1ii−i−iζ5−ζ5−ζζ−ζ7ζ7ζ3−ζ3−ζ7ζ7ζ3−ζ3ζ5−ζ5−ζζ
χ2411-1-1ii−i−ii−i1-1−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ61111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ611-1-1ii−i−i−ζ5ζ5ζ−ζζ7−ζ7−ζ3ζ3ζ7−ζ7−ζ3ζ3−ζ5ζ5ζ−ζ
χ2511-1-1−i−iii−ii1-1ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ21111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ211-1-1−i−iiiζ3−ζ3−ζ7ζ7−ζζζ5−ζ5−ζζζ5−ζ5ζ3−ζ3−ζ7ζ7
χ2611-1-1−i−iii−ii1-1ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ21111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ211-1-1−i−iii−ζ3ζ3ζ7−ζ7ζ−ζ−ζ5ζ5ζ−ζ−ζ5ζ5−ζ3ζ3ζ7−ζ7
χ2711-1-1−i−iii−ii1-1ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ21111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2-1-111ii−i−iζ7−ζ7ζ3−ζ3−ζ5ζ5−ζζζ5−ζ5ζ−ζ−ζ7ζ7−ζ3ζ3
χ2811-1-1−i−iii−ii1-1ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ21111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2-1-111ii−i−i−ζ7ζ7−ζ3ζ3ζ5−ζ5ζ−ζ−ζ5ζ5−ζζζ7−ζ7ζ3−ζ3
χ2911-1-1−i−iii−ii1-1−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ21111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2-1-111ii−i−iζ3−ζ3−ζ7ζ7ζ−ζ−ζ5ζ5−ζζζ5−ζ5−ζ3ζ3ζ7−ζ7
χ3011-1-1−i−iii−ii1-1−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ21111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2-1-111ii−i−i−ζ3ζ3ζ7−ζ7−ζζζ5−ζ5ζ−ζ−ζ5ζ5ζ3−ζ3−ζ7ζ7
χ3111-1-1−i−iii−ii1-1−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ21111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ211-1-1−i−iiiζ7−ζ7ζ3−ζ3ζ5−ζ5ζ−ζζ5−ζ5ζ−ζζ7−ζ7ζ3−ζ3
χ3211-1-1−i−iii−ii1-1−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ21111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ211-1-1−i−iii−ζ7ζ7−ζ3ζ3−ζ5ζ5−ζζ−ζ5ζ5−ζζ−ζ7ζ7−ζ3ζ3
χ3322222222-2-2-2-20000000022222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000000000000000000022222222-2-2-2-2000000000000000000000000
χ3422222222-2-2-2-20000000022222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-2-2-2-2-22222000000000000000000000000
χ352222-2-2-2-222-2-20000000022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ362222-2-2-2-222-2-20000000022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ3722-2-22i2i−2i−2i−2i2i-22000000002222-2-2-2-2-2-2-2-222222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000002ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ6−2ζ22ζ2−2ζ62ζ6000000000000000000000000
χ3822-2-22i2i−2i−2i−2i2i-22000000002222-2-2-2-2-2-2-2-222222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ62ζ2−2ζ22ζ6−2ζ6000000000000000000000000
χ3922-2-2−2i−2i2i2i2i−2i-22000000002222-2-2-2-2-2-2-2-22222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i000000000000000000000000000000002ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62ζ2−2ζ2−2ζ62ζ6−2ζ22ζ2000000000000000000000000
χ4022-2-2−2i−2i2i2i2i−2i-22000000002222-2-2-2-2-2-2-2-22222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ22ζ6−2ζ62ζ2−2ζ2000000000000000000000000
χ412-22-22-22-20000i2−i2i2−i2i2−i2i2−i222-2-222-2-20000000022-2-222-2-200000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i22i2i−2i−2i−2i−2i2i2i00002−22−22−22−20000000000000000
χ422-22-22-22-20000i2−i2i2−i2i2−i2i2−i222-2-222-2-20000000022-2-222-2-200000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−2i−2i2i2i2i2i−2i−2i0000−22−22−22−220000000000000000
χ432-22-22-22-20000−i2i2−i2i2−i2i2−i2i222-2-222-2-20000000022-2-222-2-200000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i22i2i−2i−2i−2i−2i2i2i0000−22−22−22−220000000000000000
χ442-22-22-22-20000−i2i2−i2i2−i2i2−i2i222-2-222-2-20000000022-2-222-2-200000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−2i−2i2i2i2i2i−2i−2i00002−22−22−22−20000000000000000
χ452-22-2-22-2200002−22−2−22−2222-2-222-2-200000000-2-222-2-222000000002222−2−2−2−22222−2−2−2−2−2−2−2−22222−2−2−2−222222222-2-2-2-200002−22−2−22−220000000000000000
χ462-22-2-22-2200002−22−2−22−2222-2-222-2-200000000-2-222-2-222000000002222−2−2−2−22222−2−2−2−2−2−2−2−22222−2−2−2−22222-2-2-2-222220000−22−222−22−20000000000000000
χ472-22-2-22-220000−22−222−22−222-2-222-2-200000000-2-222-2-22200000000−2−2−2−22222−2−2−2−222222222−2−2−2−22222−2−2−2−22222-2-2-2-20000−22−222−22−20000000000000000
χ482-22-2-22-220000−22−222−22−222-2-222-2-200000000-2-222-2-22200000000−2−2−2−22222−2−2−2−222222222−2−2−2−22222−2−2−2−2-2-2-2-2222200002−22−2−22−220000000000000000
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χ994-44-4-44-44000022−2222−22−2222−2222-212-1-212-1003i−3i003i−3i2-1-212-1-2100−3i3i00−3i3i−2−2−ζ2−2ζ62ζ2+ζ622ζ2+2ζ6−2ζ2−ζ6−2−2−ζ2−2ζ62ζ2+ζ622ζ2+2ζ6−2ζ2−ζ622ζ2+2ζ6−2ζ2−ζ6−2−2−ζ2−2ζ62ζ2+ζ622ζ2+2ζ6−2ζ2−ζ6−2−2−ζ2−2ζ62ζ2+ζ6000000000000000000000000000000000000
χ1004-44-4-44-44000022−2222−22−2222−2222-212-1-212-100−3i3i00−3i3i2-1-212-1-21003i−3i003i−3i−2−22ζ2+ζ6−ζ2−2ζ622−2ζ2−ζ6ζ2+2ζ6−2−22ζ2+ζ6−ζ2−2ζ622−2ζ2−ζ6ζ2+2ζ622−2ζ2−ζ6ζ2+2ζ6−2−22ζ2+ζ6−ζ2−2ζ622−2ζ2−ζ6ζ2+2ζ6−2−22ζ2+ζ6−ζ2−2ζ6000000000000000000000000000000000000
χ1014-44-4-44-440000−2222−222222−2222−221-2-121-2-123i−3i003i−3i00-121-2-121-2−3i3i00−3i3i00ζ2+2ζ6−2ζ2−ζ622−ζ2−2ζ62ζ2+ζ6−2−2ζ2+2ζ6−2ζ2−ζ622−ζ2−2ζ62ζ2+ζ6−2−2−ζ2−2ζ62ζ2+ζ6−2−2ζ2+2ζ6−2ζ2−ζ622−ζ2−2ζ62ζ2+ζ6−2−2ζ2+2ζ6−2ζ2−ζ622000000000000000000000000000000000000
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χ1034-44-4-44-440000−2222−222222−2222−22-212-1-212-1003i−3i003i−3i2-1-212-1-2100−3i3i00−3i3i22ζ2+2ζ6−2ζ2−ζ6−2−2−ζ2−2ζ62ζ2+ζ622ζ2+2ζ6−2ζ2−ζ6−2−2−ζ2−2ζ62ζ2+ζ6−2−2−ζ2−2ζ62ζ2+ζ622ζ2+2ζ6−2ζ2−ζ6−2−2−ζ2−2ζ62ζ2+ζ622ζ2+2ζ6−2ζ2−ζ6000000000000000000000000000000000000
χ1044-44-4-44-440000−2222−222222−2222−22-212-1-212-100−3i3i00−3i3i2-1-212-1-21003i−3i003i−3i22−2ζ2−ζ6ζ2+2ζ6−2−22ζ2+ζ6−ζ2−2ζ622−2ζ2−ζ6ζ2+2ζ6−2−22ζ2+ζ6−ζ2−2ζ6−2−22ζ2+ζ6−ζ2−2ζ622−2ζ2−ζ6ζ2+2ζ6−2−22ζ2+ζ6−ζ2−2ζ622−2ζ2−ζ6ζ2+2ζ6000000000000000000000000000000000000
χ1054-4-444i−4i−4i4i00002−2i−2+2i−2+2i2−2i2+2i−2−2i−2−2i2+2i1-2-12-121-23i−3i00−3i3i00i−2i−i2i−i2ii−2i-33003-300−1−2i2+i−1+i−1+i1+2i−2−i1−i1−i1+2i−2−i1−i1−i−1−2i2+i−1+i−1+i2−i−1+2i−1−i−1−i−2+i1−2i1+i1+i−2+i1−2i1+i1+i2−i−1+2i−1−i−1−i000000000000000000000000000000000000
χ1064-4-444i−4i−4i4i00002−2i−2+2i−2+2i2−2i2+2i−2−2i−2−2i2+2i1-2-12-121-2−3i3i003i−3i00i−2i−i2i−i2ii−2i3-300-33002+i−1−2i−1+i−1+i−2−i1+2i1−i1−i−2−i1+2i1−i1−i2+i−1−2i−1+i−1+i−1+2i2−i−1−i−1−i1−2i−2+i1+i1+i1−2i−2+i1+i1+i−1+2i2−i−1−i−1−i000000000000000000000000000000000000
χ1074-4-444i−4i−4i4i00002−2i−2+2i−2+2i2−2i2+2i−2−2i−2−2i2+2i-212-12-1-21003i−3i00−3i3i−2ii2i−i2i−i−2ii00-33003-3−1+i−1+i−1−2i2+i1−i1−i1+2i−2−i1−i1−i1+2i−2−i−1+i−1+i−1−2i2+i−1−i−1−i2−i−1+2i1+i1+i−2+i1−2i1+i1+i−2+i1−2i−1−i−1−i2−i−1+2i000000000000000000000000000000000000
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χ1094-4-444i−4i−4i4i0000−2+2i2−2i2−2i−2+2i−2−2i2+2i2+2i−2−2i1-2-12-121-23i−3i00−3i3i00i−2i−i2i−i2ii−2i-33003-3001+2i−2−i1−i1−i−1−2i2+i−1+i−1+i−1−2i2+i−1+i−1+i1+2i−2−i1−i1−i−2+i1−2i1+i1+i2−i−1+2i−1−i−1−i2−i−1+2i−1−i−1−i−2+i1−2i1+i1+i000000000000000000000000000000000000
χ1104-4-444i−4i−4i4i0000−2+2i2−2i2−2i−2+2i−2−2i2+2i2+2i−2−2i1-2-12-121-2−3i3i003i−3i00i−2i−i2i−i2ii−2i3-300-3300−2−i1+2i1−i1−i2+i−1−2i−1+i−1+i2+i−1−2i−1+i−1+i−2−i1+2i1−i1−i1−2i−2+i1+i1+i−1+2i2−i−1−i−1−i−1+2i2−i−1−i−1−i1−2i−2+i1+i1+i000000000000000000000000000000000000
χ1114-4-444i−4i−4i4i0000−2+2i2−2i2−2i−2+2i−2−2i2+2i2+2i−2−2i-212-12-1-21003i−3i00−3i3i−2ii2i−i2i−i−2ii00-33003-31−i1−i1+2i−2−i−1+i−1+i−1−2i2+i−1+i−1+i−1−2i2+i1−i1−i1+2i−2−i1+i1+i−2+i1−2i−1−i−1−i2−i−1+2i−1−i−1−i2−i−1+2i1+i1+i−2+i1−2i000000000000000000000000000000000000
χ1124-4-444i−4i−4i4i0000−2+2i2−2i2−2i−2+2i−2−2i2+2i2+2i−2−2i-212-12-1-2100−3i3i003i−3i−2ii2i−i2i−i−2ii003-300-331−i1−i−2−i1+2i−1+i−1+i2+i−1−2i−1+i−1+i2+i−1−2i1−i1−i−2−i1+2i1+i1+i1−2i−2+i−1−i−1−i−1+2i2−i−1−i−1−i−1+2i2−i1+i1+i1−2i−2+i000000000000000000000000000000000000
χ1134-4-44−4i4i4i−4i00002+2i−2−2i−2−2i2+2i2−2i−2+2i−2+2i2−2i1-2-12-121-23i−3i00−3i3i00−i2ii−2ii−2i−i2i3-300-33002−i−1+2i−1−i−1−i−2+i1−2i1+i1+i−2+i1−2i1+i1+i2−i−1+2i−1−i−1−i−1−2i2+i−1+i−1+i1+2i−2−i1−i1−i1+2i−2−i1−i1−i−1−2i2+i−1+i−1+i000000000000000000000000000000000000
χ1144-4-44−4i4i4i−4i00002+2i−2−2i−2−2i2+2i2−2i−2+2i−2+2i2−2i1-2-12-121-2−3i3i003i−3i00−i2ii−2ii−2i−i2i-33003-300−1+2i2−i−1−i−1−i1−2i−2+i1+i1+i1−2i−2+i1+i1+i−1+2i2−i−1−i−1−i2+i−1−2i−1+i−1+i−2−i1+2i1−i1−i−2−i1+2i1−i1−i2+i−1−2i−1+i−1+i000000000000000000000000000000000000
χ1154-4-44−4i4i4i−4i00002+2i−2−2i−2−2i2+2i2−2i−2+2i−2+2i2−2i-212-12-1-21003i−3i00−3i3i2i−i−2ii−2ii2i−i003-300-33−1−i−1−i2−i−1+2i1+i1+i−2+i1−2i1+i1+i−2+i1−2i−1−i−1−i2−i−1+2i−1+i−1+i−1−2i2+i1−i1−i1+2i−2−i1−i1−i1+2i−2−i−1+i−1+i−1−2i2+i000000000000000000000000000000000000
χ1164-4-44−4i4i4i−4i00002+2i−2−2i−2−2i2+2i2−2i−2+2i−2+2i2−2i-212-12-1-2100−3i3i003i−3i2i−i−2ii−2ii2i−i00-33003-3−1−i−1−i−1+2i2−i1+i1+i1−2i−2+i1+i1+i1−2i−2+i−1−i−1−i−1+2i2−i−1+i−1+i2+i−1−2i1−i1−i−2−i1+2i1−i1−i−2−i1+2i−1+i−1+i2+i−1−2i000000000000000000000000000000000000
χ1174-4-44−4i4i4i−4i0000−2−2i2+2i2+2i−2−2i−2+2i2−2i2−2i−2+2i1-2-12-121-23i−3i00−3i3i00−i2ii−2ii−2i−i2i3-300-3300−2+i1−2i1+i1+i2−i−1+2i−1−i−1−i2−i−1+2i−1−i−1−i−2+i1−2i1+i1+i1+2i−2−i1−i1−i−1−2i2+i−1+i−1+i−1−2i2+i−1+i−1+i1+2i−2−i1−i1−i000000000000000000000000000000000000
χ1184-4-44−4i4i4i−4i0000−2−2i2+2i2+2i−2−2i−2+2i2−2i2−2i−2+2i1-2-12-121-2−3i3i003i−3i00−i2ii−2ii−2i−i2i-33003-3001−2i−2+i1+i1+i−1+2i2−i−1−i−1−i−1+2i2−i−1−i−1−i1−2i−2+i1+i1+i−2−i1+2i1−i1−i2+i−1−2i−1+i−1+i2+i−1−2i−1+i−1+i−2−i1+2i1−i1−i000000000000000000000000000000000000
χ1194-4-44−4i4i4i−4i0000−2−2i2+2i2+2i−2−2i−2+2i2−2i2−2i−2+2i-212-12-1-21003i−3i00−3i3i2i−i−2ii−2ii2i−i003-300-331+i1+i−2+i1−2i−1−i−1−i2−i−1+2i−1−i−1−i2−i−1+2i1+i1+i−2+i1−2i1−i1−i1+2i−2−i−1+i−1+i−1−2i2+i−1+i−1+i−1−2i2+i1−i1−i1+2i−2−i000000000000000000000000000000000000
χ1204-4-44−4i4i4i−4i0000−2−2i2+2i2+2i−2−2i−2+2i2−2i2−2i−2+2i-212-12-1-2100−3i3i003i−3i2i−i−2ii−2ii2i−i00-33003-31+i1+i1−2i−2+i−1−i−1−i−1+2i2−i−1−i−1−i−1+2i2−i1+i1+i1−2i−2+i1−i1−i−2−i1+2i−1+i−1+i2+i−1−2i−1+i−1+i2+i−1−2i1−i1−i−2−i1+2i000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.