Finite Group Databasebeta

← Group #13057305

Character table — Group #13057305

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size16777771677777212141414141421214141414142121414141414167777716777772121414141414212141414141421214141414141677777167777721214141414142121414141414212141414141416777771677777212141414141421214141414142121414141414
order1723366214266664284121212124284121212124284121212124284121212124284121212124284121212124284121212124284121212122142666621426666428412121212428412121212428412121212428412121212428412121212428412121212428412121212428412121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32
χ3111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32
χ411-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-1
χ511-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32
χ611-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32
χ76-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-100000
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ9111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32
χ10111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32
χ1111-111-1-111-111-1-111-111-1-1-1-11-1-111-1-11-1-11111-111-1-111-111-1-111-111-1-1-1-11-1-111-1-11-1-11111-111-1-111-111-1-111-111-1-1-1-11-1-111-1-11-1-11111-111-1-111-111-1-111-111-1-1-1-11-1-111-1-11-1-111
χ1211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i32
χ1311-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i32
χ146-1000006-1000006-100000-6100000-61000006-1000006-1000006-100000-6100000-61000006-1000006-1000006-100000-6100000-61000006-1000006-1000006-100000-6100000-6100000
χ1511111111111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1
χ16111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32
χ17111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32
χ1811-111-1-111-111-1-1-1-11-1-11111-111-1-1-1-11-1-11111-111-1-111-111-1-1-1-11-1-11111-111-1-1-1-11-1-11111-111-1-111-111-1-1-1-11-1-11111-111-1-1-1-11-1-11111-111-1-111-111-1-1-1-11-1-11111-111-1-1-1-11-1-111
χ1911-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32
χ2011-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32
χ216-1000006-100000-61000006-100000-61000006-1000006-100000-61000006-100000-61000006-1000006-100000-61000006-100000-61000006-1000006-100000-61000006-100000-6100000
χ2211111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ23111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32
χ24111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32
χ2511-111-1-111-111-1-1-1-11-1-111-1-11-1-11111-111-1-111-111-1-111-111-1-1-1-11-1-111-1-11-1-11111-111-1-111-111-1-111-111-1-1-1-11-1-111-1-11-1-11111-111-1-111-111-1-111-111-1-1-1-11-1-111-1-11-1-11111-111-1-1
χ2611-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i32
χ2711-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i32
χ286-1000006-100000-6100000-61000006-1000006-1000006-100000-6100000-61000006-1000006-1000006-100000-6100000-61000006-1000006-1000006-100000-6100000-61000006-100000
χ292222222-2-2-2-2-2-2-20000000000000000000002222222-2-2-2-2-2-2-20000000000000000000002222222-2-2-2-2-2-2-20000000000000000000002222222-2-2-2-2-2-2-2000000000000000000000
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χ129111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32−i−i−i−ζ11−ζ7−ζ11−ζ7−i−i−i−ζ11−ζ7−ζ11−ζ7iiiζ11ζ7ζ11ζ7iiiζ11ζ7ζ11ζ7−i−i−i−ζ11−ζ7−ζ11−ζ7-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32iiiζ11ζ7ζ11ζ7iiiζ11ζ7ζ11ζ7−i−i−i−ζ11−ζ7−ζ11−ζ7−i−i−i−ζ11−ζ7−ζ11−ζ7iiiζ11ζ7ζ11ζ7
χ13011-111-1-111-111-1-1-1-11-1-111-1-11-1-11111-111-1-1−i−ii−i−iii−i−ii−i−iiiii−iii−i−iii−iii−i−i−i−ii−i−iii-1-11-1-111-1-11-1-11111-111-1-111-111-1-1-1-11-1-111ii−iii−i−iii−iii−i−i−i−ii−i−iii−i−ii−i−iiiii−iii−i−i
χ13111-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i32−i−ii−ζ7−ζ11ζ7ζ11−i−ii−ζ7−ζ11ζ7ζ11ii−iζ7ζ11−ζ7−ζ11ii−iζ7ζ11−ζ7−ζ11−i−ii−ζ7−ζ11ζ7ζ11-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32ii−iζ7ζ11−ζ7−ζ11ii−iζ7ζ11−ζ7−ζ11−i−ii−ζ7−ζ11ζ7ζ11−i−ii−ζ7−ζ11ζ7ζ11ii−iζ7ζ11−ζ7−ζ11
χ13211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i32−i−ii−ζ11−ζ7ζ11ζ7−i−ii−ζ11−ζ7ζ11ζ7ii−iζ11ζ7−ζ11−ζ7ii−iζ11ζ7−ζ11−ζ7−i−ii−ζ11−ζ7ζ11ζ7-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32ii−iζ11ζ7−ζ11−ζ7ii−iζ11ζ7−ζ11−ζ7−i−ii−ζ11−ζ7ζ11ζ7−i−ii−ζ11−ζ7ζ11ζ7ii−iζ11ζ7−ζ11−ζ7
χ1336-1000006-100000-6100000-61000006-100000−6ii00000−6ii000006i−i000006i−i00000−6ii00000-6100000-61000006-1000006-100000-61000006i−i000006i−i00000−6ii00000−6ii000006i−i00000
χ1342222222-2-2-2-2-2-2-2000000000000000000000−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i000000000000000000000-2-2-2-2-2-2-222222220000000000000000000002i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i000000000000000000000
χ135222−1+i3−1−i3−1+i3−1−i3-2-2-21−i31+i31−i31+i3000000000000000000000−2i−2i−2i−2ζ7−2ζ11−2ζ7−2ζ112i2i2i2ζ72ζ112ζ72ζ11000000000000000000000-2-2-21−i31+i31−i31+i3222−1+i3−1−i3−1+i3−1−i30000000000000000000002i2i2i2ζ72ζ112ζ72ζ11−2i−2i−2i−2ζ7−2ζ11−2ζ7−2ζ11000000000000000000000
χ136222−1−i3−1+i3−1−i3−1+i3-2-2-21+i31−i31+i31−i3000000000000000000000−2i−2i−2i−2ζ11−2ζ7−2ζ11−2ζ72i2i2i2ζ112ζ72ζ112ζ7000000000000000000000-2-2-21+i31−i31+i31−i3222−1−i3−1+i3−1−i3−1+i30000000000000000000002i2i2i2ζ112ζ72ζ112ζ7−2i−2i−2i−2ζ11−2ζ7−2ζ11−2ζ7000000000000000000000
χ13722-222-2-2-2-22-2-222000000000000000000000−2i−2i2i−2i−2i2i2i2i2i−2i2i2i−2i−2i000000000000000000000-2-22-2-22222-222-2-20000000000000000000002i2i−2i2i2i−2i−2i−2i−2i2i−2i−2i2i2i000000000000000000000
χ13822-2−1+i3−1−i31−i31+i3-2-221−i31+i3−1+i3−1−i3000000000000000000000−2i−2i2i−2ζ7−2ζ112ζ72ζ112i2i−2i2ζ72ζ11−2ζ7−2ζ11000000000000000000000-2-221−i31+i3−1+i3−1−i322-2−1+i3−1−i31−i31+i30000000000000000000002i2i−2i2ζ72ζ11−2ζ7−2ζ11−2i−2i2i−2ζ7−2ζ112ζ72ζ11000000000000000000000
χ13922-2−1−i3−1+i31+i31−i3-2-221+i31−i3−1−i3−1+i3000000000000000000000−2i−2i2i−2ζ11−2ζ72ζ112ζ72i2i−2i2ζ112ζ7−2ζ11−2ζ7000000000000000000000-2-221+i31−i3−1−i3−1+i322-2−1−i3−1+i31+i31−i30000000000000000000002i2i−2i2ζ112ζ7−2ζ11−2ζ7−2i−2i2i−2ζ11−2ζ72ζ112ζ7000000000000000000000
χ14012-200000-12200000000000000000000000000−12i2i0000012i−2i00000000000000000000000000-1220000012-20000000000000000000000000012i−2i00000−12i2i00000000000000000000000000

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