Finite Group Databasebeta

← Group #10634292

Character table — Group #10634292

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174
size111111111111111111111111111111111111111111111111444444444444444444444444444444444444444444444444444444444444444444444444888888888888888888888888888888888888888888888888888888
order122222222222222233666666666666666666666666666666444444444444444444444444121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212444444444444444444121212121212121212121212121212121212121212121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ71111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ9111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ10111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ11111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ12111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1
χ13111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ14111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ15111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1
χ16111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ171111111111111111−1−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+i32111111111111111111111111−1−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+i32111111111111111111−1−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
χ181111111111111111−1−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+i32111111111111-1-1-1-1-1-1-1-11111−1−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+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11111-1-1-1-111-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32
χ191111111111111111−1−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+i3211111111-1-1-1-111111111-1-1-1-1−1−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+i321+i321+i321+i321+i321−i321−i321−i321−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+i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-111-1-1-1-1-1-1-1-111-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32
χ201111111111111111−1−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+i3211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−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+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-1-11111-1-11111-1-1-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ211111111111111111−1−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+i321111-1-1-1-1111111111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−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+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-111-1-1-1-111-1-111-1-1-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32
χ221111111111111111−1−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+i321111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-1-1-1-1-1-1-111111111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−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
χ231111111111111111−1−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+i321111-1-1-1-1-1-1-1-1111111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−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+i32-1-1-1-1-1-111-1-111-1-1-1-1111+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ241111111111111111−1−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+i321111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111-1-11111-1-1-1-111-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32
χ251111111111111111−1−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+i32-1-1-1-1111111111111-1-1-1-111111+i321+i321+i321+i321−i321−i321−i321−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+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111-1-1-1-1-1-111-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i32
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χ49222222-22-2-2-2-22-2-2-22222222-222222-22-2-2-2-22-2-2-2-22-2-22-2-2-2-20000000022-2-2000022-2-20000000000000000000022-2-222-2-20000000022-2-222-2-200000000000000002-20000000000000000000000002-22-20000000000000000
χ50222222-22-2-2-2-22-2-2-22222222-222222-22-2-2-2-22-2-2-2-22-2-22-2-2-2-20000000022-2-20000-2-2220000000000000000000022-2-222-2-200000000-2-222-2-2220000000000000000-22000000000000000000000000-22-220000000000000000
χ51222222-22-2-2-2-22-2-2-22222222-222222-22-2-2-2-22-2-2-2-22-2-22-2-2-2-200000000-2-222000022-2-200000000000000000000-2-222-2-2220000000022-2-222-2-20000000000000000-22000000000000000000000000-22-220000000000000000
χ52222222-22-2-2-2-22-2-2-22222222-222222-22-2-2-2-22-2-2-2-22-2-22-2-2-2-200000000-2-2220000-2-22200000000000000000000-2-222-2-22200000000-2-222-2-22200000000000000002-20000000000000000000000002-22-20000000000000000
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χ9322-2-2-2-222-222-222-2-2−1+i3−1−i3−1+i31−i31−i31−i31−i3−1+i3−1−i31+i31+i31+i31+i3−1−i3−1+i31−i3−1+i3−1+i31−i3−1−i31+i3−1−i3−1−i31+i3−1+i3−1+i31−i3−1−i3−1−i31+i31−i31+i300000000000000002-22-22i2i−2i−2i00000000000000000000000000000000−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i32ζ72ζ7−2ζ7−2ζ72ζ112ζ11−2ζ11−2ζ1100000000000000002i−2i000000000000000000000000000000002ζ7−2ζ72ζ11−2ζ11
χ9422-2-2-2-222-222-222-2-2−1+i3−1−i3−1+i31−i31−i31−i31−i3−1+i3−1−i31+i31+i31+i31+i3−1−i3−1+i31−i3−1+i3−1+i31−i3−1−i31+i3−1−i3−1−i31+i3−1+i3−1+i31−i3−1−i3−1−i31+i31−i31+i300000000000000002-22-2−2i−2i2i2i00000000000000000000000000000000−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i3−2ζ7−2ζ72ζ72ζ7−2ζ11−2ζ112ζ112ζ110000000000000000−2i2i00000000000000000000000000000000−2ζ72ζ7−2ζ112ζ11
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χ9622-2-2-2-222-222-222-2-2−1+i3−1−i3−1+i31−i31−i31−i31−i3−1+i3−1−i31+i31+i31+i31+i3−1−i3−1+i31−i3−1+i3−1+i31−i3−1−i31+i3−1−i3−1−i31+i3−1+i3−1+i31−i3−1−i3−1−i31+i31−i31+i30000000000000000-22-22−2i−2i2i2i000000000000000000000000000000001−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i3−2ζ7−2ζ72ζ72ζ7−2ζ11−2ζ112ζ112ζ1100000000000000002i−2i000000000000000000000000000000002ζ7−2ζ72ζ11−2ζ11
χ9722-2-2-2-2-222-2-222-222222-2-2-2-2-22-2-2-2-2-222-2-2222-2-222-222-222200002-2-22000000002-2-220000000000002-2-222-2-2200000000000000002-2-222-2-2200000000000000000000002-20000000000000000000000000000002-22-20000
χ9822-2-2-2-2-222-2-222-222222-2-2-2-2-22-2-2-2-2-222-2-2222-2-222-222-222200002-2-2200000000-222-20000000000002-2-222-2-220000000000000000-222-2-222-20000000000000000000000-22000000000000000000000000000000-22-220000
χ9922-2-2-2-2-222-2-222-222222-2-2-2-2-22-2-2-2-2-222-2-2222-2-222-222-22220000-222-2000000002-2-22000000000000-222-2-222-200000000000000002-2-222-2-220000000000000000000000-22000000000000000000000000000000-22-220000
χ10022-2-2-2-2-222-2-222-222222-2-2-2-2-22-2-2-2-2-222-2-2222-2-222-222-22220000-222-200000000-222-2000000000000-222-2-222-20000000000000000-222-2-222-200000000000000000000002-20000000000000000000000000000002-22-20000
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χ1092-22-22-222-22-22-2-2-2222-22-22-22-22-22-222-22-222-22-22-2-2-2-2-2-222000000002-22-22i−2i2i−2i0000000000000000000000002-22-22-22-22i−2i2i−2i2i−2i2i−2i0000000000000000002i−2i0000000000000000002i−2i2i−2i0000000000000000000000000000
χ1102-22-22-222-22-22-2-2-2222-22-22-22-22-22-222-22-222-22-22-2-2-2-2-2-222000000002-22-2−2i2i−2i2i0000000000000000000000002-22-22-22-2−2i2i−2i2i−2i2i−2i2i000000000000000000−2i2i000000000000000000−2i2i−2i2i0000000000000000000000000000
χ1112-22-22-222-22-22-2-2-2222-22-22-22-22-22-222-22-222-22-22-2-2-2-2-2-22200000000-22-222i−2i2i−2i000000000000000000000000-22-22-22-222i−2i2i−2i2i−2i2i−2i000000000000000000−2i2i000000000000000000−2i2i−2i2i0000000000000000000000000000
χ1122-22-22-222-22-22-2-2-2222-22-22-22-22-22-222-22-222-22-22-2-2-2-2-2-22200000000-22-22−2i2i−2i2i000000000000000000000000-22-22-22-22−2i2i−2i2i−2i2i−2i2i0000000000000000002i−2i0000000000000000002i−2i2i−2i0000000000000000000000000000
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χ1142-22-22-222-22-22-2-2-22−1−i3−1+i31+i3−1−i31+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i31−i3−1+i3−1−i31+i3−1−i31+i3−1−i3−1+i31−i3−1+i31−i3−1+i31+i31+i31+i31−i31−i31−i3−1−i3−1+i3000000002-22-2−2i2i−2i2i000000000000000000000000−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i3−2ζ112ζ11−2ζ112ζ11−2ζ72ζ7−2ζ72ζ7000000000000000000−2i2i000000000000000000−2ζ112ζ11−2ζ72ζ70000000000000000000000000000
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χ1162-22-22-222-22-22-2-2-22−1−i3−1+i31+i3−1−i31+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i31−i3−1+i3−1−i31+i3−1−i31+i3−1−i3−1+i31−i3−1+i31−i3−1+i31+i31+i31+i31−i31−i31−i3−1−i3−1+i300000000-22-22−2i2i−2i2i0000000000000000000000001+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i3−2ζ112ζ11−2ζ112ζ11−2ζ72ζ7−2ζ72ζ70000000000000000002i−2i0000000000000000002ζ11−2ζ112ζ7−2ζ70000000000000000000000000000
χ1172-22-22-222-22-22-2-2-22−1+i3−1−i31−i3−1+i31−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i31+i3−1−i3−1+i31−i3−1+i31−i3−1+i3−1−i31+i3−1−i31+i3−1−i31−i31−i31−i31+i31+i31+i3−1+i3−1−i3000000002-22-22i−2i2i−2i000000000000000000000000−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i32ζ7−2ζ72ζ7−2ζ72ζ11−2ζ112ζ11−2ζ110000000000000000002i−2i0000000000000000002ζ7−2ζ72ζ11−2ζ110000000000000000000000000000
χ1182-22-22-222-22-22-2-2-22−1+i3−1−i31−i3−1+i31−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i31+i3−1−i3−1+i31−i3−1+i31−i3−1+i3−1−i31+i3−1−i31+i3−1−i31−i31−i31−i31+i31+i31+i3−1+i3−1−i3000000002-22-2−2i2i−2i2i000000000000000000000000−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i3−2ζ72ζ7−2ζ72ζ7−2ζ112ζ11−2ζ112ζ11000000000000000000−2i2i000000000000000000−2ζ72ζ7−2ζ112ζ110000000000000000000000000000
χ1192-22-22-222-22-22-2-2-22−1+i3−1−i31−i3−1+i31−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i31+i3−1−i3−1+i31−i3−1+i31−i3−1+i3−1−i31+i3−1−i31+i3−1−i31−i31−i31−i31+i31+i31+i3−1+i3−1−i300000000-22-222i−2i2i−2i0000000000000000000000001−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i32ζ7−2ζ72ζ7−2ζ72ζ11−2ζ112ζ11−2ζ11000000000000000000−2i2i000000000000000000−2ζ72ζ7−2ζ112ζ110000000000000000000000000000
χ1202-22-22-222-22-22-2-2-22−1+i3−1−i31−i3−1+i31−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i31+i3−1−i3−1+i31−i3−1+i31−i3−1+i3−1−i31+i3−1−i31+i3−1−i31−i31−i31−i31+i31+i31+i3−1+i3−1−i300000000-22-22−2i2i−2i2i0000000000000000000000001−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i3−2ζ72ζ7−2ζ72ζ7−2ζ112ζ11−2ζ112ζ110000000000000000002i−2i0000000000000000002ζ7−2ζ72ζ11−2ζ110000000000000000000000000000
χ1212-22-22-2-222-22-2-222-222-22-22-2-2-22-22-2-222-22-222-22-2-222-222-2-22i−2i2i−2i00002-2-220000000000002i−2i2i−2i2i−2i2i−2i000000002-2-222-2-220000000000000000000000000000000000002i−2i00000000000000000000000000002i−2i2i−2i00000000
χ1222-22-22-2-222-22-2-222-222-22-22-2-2-22-22-2-222-22-222-22-2-222-222-2-22i−2i2i−2i0000-222-20000000000002i−2i2i−2i2i−2i2i−2i00000000-222-2-222-2000000000000000000000000000000000000−2i2i0000000000000000000000000000−2i2i−2i2i00000000
χ1232-22-22-2-222-22-2-222-222-22-22-2-2-22-22-2-222-22-222-22-2-222-222-2-2−2i2i−2i2i00002-2-22000000000000−2i2i−2i2i−2i2i−2i2i000000002-2-222-2-22000000000000000000000000000000000000−2i2i0000000000000000000000000000−2i2i−2i2i00000000
χ1242-22-22-2-222-22-2-222-222-22-22-2-2-22-22-2-222-22-222-22-2-222-222-2-2−2i2i−2i2i0000-222-2000000000000−2i2i−2i2i−2i2i−2i2i00000000-222-2-222-20000000000000000000000000000000000002i−2i00000000000000000000000000002i−2i2i−2i00000000
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χ1704-4-44-444444-4-4-4-44-4−2−2i3−2+2i32+2i32+2i3−2−2i32+2i3−2−2i3−2−2i32−2i32−2i3−2+2i32−2i3−2+2i3−2+2i3−2−2i3−2−2i3−2−2i32+2i32+2i3−2+2i3−2+2i3−2+2i32−2i32−2i32+2i32+2i3−2−2i32−2i32−2i3−2+2i32+2i32−2i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1714-4-44-444444-4-4-4-44-4−2+2i3−2−2i32−2i32−2i3−2+2i32−2i3−2+2i3−2+2i32+2i32+2i3−2−2i32+2i3−2−2i3−2−2i3−2+2i3−2+2i3−2+2i32−2i32−2i3−2−2i3−2−2i3−2−2i32+2i32+2i32−2i32−2i3−2+2i32+2i32+2i3−2−2i32−2i32+2i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1724-4-44-44-44-4-444-44-4444-4-44-44-4-4-44-44-44-4-4444-4-444-44-4-44-444000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1734-4-44-44-44-4-444-44-44−2−2i3−2+2i32+2i32+2i3−2−2i32+2i3−2−2i32+2i32−2i32−2i3−2+2i32−2i3−2+2i32−2i3−2−2i32+2i32+2i3−2−2i3−2−2i3−2+2i32−2i32−2i3−2+2i3−2+2i32+2i3−2−2i32+2i32−2i3−2+2i32−2i3−2−2i3−2+2i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1744-4-44-44-44-4-444-44-44−2+2i3−2−2i32−2i32−2i3−2+2i32−2i3−2+2i32−2i32+2i32+2i3−2−2i32+2i3−2−2i32+2i3−2+2i32−2i32−2i3−2+2i3−2+2i3−2−2i32+2i32+2i3−2−2i3−2−2i32−2i3−2+2i32−2i32+2i3−2−2i32+2i3−2+2i3−2−2i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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