Finite Group Databasebeta

← Group #13164884

Character table — Group #13164884

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size11111111111133333333333333333333333333333333333333333333666666666666666666666666666666666666666666666666666666666666666666666666484848484848484848484848484848484848484848484848
order1233446612121212223344666666666666666666121212121212121212121212121212121212121222224444666666666666666666666666666666661212121212121212121212121212121212121212121212121212121212121212333333666666121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ411111111111111−1−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+i32−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32
χ511111111111111−1−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+i32−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i32
χ611111111111111−1−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+i32−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211
χ711111111111111−1+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−i32−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32
χ811111111111111−1+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−i32−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i3211
χ911111111111111−1+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−i32−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1−i32−1−i3211−1−i32−1−i3211−1+i32−1+i32
χ101111-1-111-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ111111-1-111-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111−1−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−i32
χ121111-1-111-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111−1+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+i32
χ131111-1-111-1-1-1-111−1−i32−1+i32-1-11111−1−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+i32-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-11111-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3211111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32
χ141111-1-111-1-1-1-111−1−i32−1+i32-1-11111−1−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+i32-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-11111-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3211111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i321+i321+i321−i321−i32-1-11−i321−i32-1-11+i321+i32
χ151111-1-111-1-1-1-111−1−i32−1+i32-1-11111−1−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+i32-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-11111-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3211111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i3211−i321−i32-1-11+i321+i321+i321+i321−i321−i32-1-1
χ161111-1-111-1-1-1-111−1+i32−1−i32-1-11111−1+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−i32-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-11111-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3211111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32
χ171111-1-111-1-1-1-111−1+i32−1−i32-1-11111−1+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−i32-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-11111-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3211111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i3211+i321+i32-1-11−i321−i321−i321−i321+i321+i32-1-1
χ181111-1-111-1-1-1-111−1+i32−1−i32-1-11111−1+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−i32-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-11111-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3211111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i321−i321−i321+i321+i32-1-11+i321+i32-1-11−i321−i32
χ192-2222i−2i-2-22i2i−2i−2i2-2222i−2i22-2-2222-2-2-2222-2-2-2-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000000000000000000000000000000000000000-1-1-1-1-1-1111111i−ii−ii−ii−ii−ii−i
χ202-2222i−2i-2-22i2i−2i−2i2-2222i−2i22-2-2222-2-2-2222-2-2-2-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000000000001+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7ζ7−ζ7
χ212-2222i−2i-2-22i2i−2i−2i2-2222i−2i22-2-2222-2-2-2222-2-2-2-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000000000001−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11ζ11−ζ11
χ222-2222i−2i-2-22i2i−2i−2i2-2−1−i3−1+i32i−2i22-2-2−1−i3−1−i3−1−i31+i31+i31+i3−1+i3−1+i3−1+i31−i31−i31−i31+i31−i32i2i−2i−2i2ζ112ζ112ζ112ζ11−2ζ11−2ζ11−2ζ11−2ζ112ζ72ζ72ζ72ζ7−2ζ7−2ζ7−2ζ7−2ζ7000000000000000000000000000000000000000000000000000000000000000000000000-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32i−iζ11−ζ11ζ7−ζ7i−iζ11−ζ11ζ7−ζ7
χ232-2222i−2i-2-22i2i−2i−2i2-2−1−i3−1+i32i−2i22-2-2−1−i3−1−i3−1−i31+i31+i31+i3−1+i3−1+i3−1+i31−i31−i31−i31+i31−i32i2i−2i−2i2ζ112ζ112ζ112ζ11−2ζ11−2ζ11−2ζ11−2ζ112ζ72ζ72ζ72ζ7−2ζ7−2ζ7−2ζ7−2ζ70000000000000000000000000000000000000000000000000000000000000000000000001+i321−i32-11−i32-11+i32−1−i32−1+i321−1+i321−1−i32ζ11−ζ11ζ7−ζ7i−iζ7−ζ7i−iζ11−ζ11
χ242-2222i−2i-2-22i2i−2i−2i2-2−1−i3−1+i32i−2i22-2-2−1−i3−1−i3−1−i31+i31+i31+i3−1+i3−1+i3−1+i31−i31−i31−i31+i31−i32i2i−2i−2i2ζ112ζ112ζ112ζ11−2ζ11−2ζ11−2ζ11−2ζ112ζ72ζ72ζ72ζ7−2ζ7−2ζ7−2ζ7−2ζ70000000000000000000000000000000000000000000000000000000000000000000000001−i32-11+i321+i321−i32-1−1+i321−1−i32−1−i32−1+i321ζ7−ζ7i−iζ11−ζ11ζ11−ζ11ζ7−ζ7i−i
χ252-2222i−2i-2-22i2i−2i−2i2-2−1+i3−1−i32i−2i22-2-2−1+i3−1+i3−1+i31−i31−i31−i3−1−i3−1−i3−1−i31+i31+i31+i31−i31+i32i2i−2i−2i2ζ72ζ72ζ72ζ7−2ζ7−2ζ7−2ζ7−2ζ72ζ112ζ112ζ112ζ11−2ζ11−2ζ11−2ζ11−2ζ11000000000000000000000000000000000000000000000000000000000000000000000000-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i32i−iζ7−ζ7ζ11−ζ11i−iζ7−ζ7ζ11−ζ11
χ262-2222i−2i-2-22i2i−2i−2i2-2−1+i3−1−i32i−2i22-2-2−1+i3−1+i3−1+i31−i31−i31−i3−1−i3−1−i3−1−i31+i31+i31+i31−i31+i32i2i−2i−2i2ζ72ζ72ζ72ζ7−2ζ7−2ζ7−2ζ7−2ζ72ζ112ζ112ζ112ζ11−2ζ11−2ζ11−2ζ11−2ζ110000000000000000000000000000000000000000000000000000000000000000000000001+i32-11−i321−i321+i32-1−1−i321−1+i32−1+i32−1−i321ζ11−ζ11i−iζ7−ζ7ζ7−ζ7ζ11−ζ11i−i
χ272-2222i−2i-2-22i2i−2i−2i2-2−1+i3−1−i32i−2i22-2-2−1+i3−1+i3−1+i31−i31−i31−i3−1−i3−1−i3−1−i31+i31+i31+i31−i31+i32i2i−2i−2i2ζ72ζ72ζ72ζ7−2ζ7−2ζ7−2ζ7−2ζ72ζ112ζ112ζ112ζ11−2ζ11−2ζ11−2ζ11−2ζ110000000000000000000000000000000000000000000000000000000000000000000000001−i321+i32-11+i32-11−i32−1+i32−1−i321−1−i321−1+i32ζ7−ζ7ζ11−ζ11i−iζ11−ζ11i−iζ7−ζ7
χ282-222−2i2i-2-2−2i−2i2i2i2-222−2i2i22-2-2222-2-2-2222-2-2-2-2-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000000000000000000000000000000000000000-1-1-1-1-1-1111111−ii−ii−ii−ii−ii−ii
χ292-222−2i2i-2-2−2i−2i2i2i2-222−2i2i22-2-2222-2-2-2222-2-2-2-2-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000000000000000000000000000000000001+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7−ζ7ζ7
χ302-222−2i2i-2-2−2i−2i2i2i2-222−2i2i22-2-2222-2-2-2222-2-2-2-2-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000000000000000000000000000000000001−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11−ζ11ζ11
χ312-222−2i2i-2-2−2i−2i2i2i2-2−1−i3−1+i3−2i2i22-2-2−1−i3−1−i3−1−i31+i31+i31+i3−1+i3−1+i3−1+i31−i31−i31−i31+i31−i3−2i−2i2i2i−2ζ11−2ζ11−2ζ11−2ζ112ζ112ζ112ζ112ζ11−2ζ7−2ζ7−2ζ7−2ζ72ζ72ζ72ζ72ζ7000000000000000000000000000000000000000000000000000000000000000000000000-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32−ii−ζ11ζ11−ζ7ζ7−ii−ζ11ζ11−ζ7ζ7
χ322-222−2i2i-2-2−2i−2i2i2i2-2−1−i3−1+i3−2i2i22-2-2−1−i3−1−i3−1−i31+i31+i31+i3−1+i3−1+i3−1+i31−i31−i31−i31+i31−i3−2i−2i2i2i−2ζ11−2ζ11−2ζ11−2ζ112ζ112ζ112ζ112ζ11−2ζ7−2ζ7−2ζ7−2ζ72ζ72ζ72ζ72ζ70000000000000000000000000000000000000000000000000000000000000000000000001+i321−i32-11−i32-11+i32−1−i32−1+i321−1+i321−1−i32−ζ11ζ11−ζ7ζ7−ii−ζ7ζ7−ii−ζ11ζ11
χ332-222−2i2i-2-2−2i−2i2i2i2-2−1−i3−1+i3−2i2i22-2-2−1−i3−1−i3−1−i31+i31+i31+i3−1+i3−1+i3−1+i31−i31−i31−i31+i31−i3−2i−2i2i2i−2ζ11−2ζ11−2ζ11−2ζ112ζ112ζ112ζ112ζ11−2ζ7−2ζ7−2ζ7−2ζ72ζ72ζ72ζ72ζ70000000000000000000000000000000000000000000000000000000000000000000000001−i32-11+i321+i321−i32-1−1+i321−1−i32−1−i32−1+i321−ζ7ζ7−ii−ζ11ζ11−ζ11ζ11−ζ7ζ7−ii
χ342-222−2i2i-2-2−2i−2i2i2i2-2−1+i3−1−i3−2i2i22-2-2−1+i3−1+i3−1+i31−i31−i31−i3−1−i3−1−i3−1−i31+i31+i31+i31−i31+i3−2i−2i2i2i−2ζ7−2ζ7−2ζ7−2ζ72ζ72ζ72ζ72ζ7−2ζ11−2ζ11−2ζ11−2ζ112ζ112ζ112ζ112ζ11000000000000000000000000000000000000000000000000000000000000000000000000-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i32−ii−ζ7ζ7−ζ11ζ11−ii−ζ7ζ7−ζ11ζ11
χ352-222−2i2i-2-2−2i−2i2i2i2-2−1+i3−1−i3−2i2i22-2-2−1+i3−1+i3−1+i31−i31−i31−i3−1−i3−1−i3−1−i31+i31+i31+i31−i31+i3−2i−2i2i2i−2ζ7−2ζ7−2ζ7−2ζ72ζ72ζ72ζ72ζ7−2ζ11−2ζ11−2ζ11−2ζ112ζ112ζ112ζ112ζ110000000000000000000000000000000000000000000000000000000000000000000000001+i32-11−i321−i321+i32-1−1−i321−1+i32−1+i32−1−i321−ζ11ζ11−ii−ζ7ζ7−ζ7ζ7−ζ11ζ11−ii
χ362-222−2i2i-2-2−2i−2i2i2i2-2−1+i3−1−i3−2i2i22-2-2−1+i3−1+i3−1+i31−i31−i31−i3−1−i3−1−i3−1−i31+i31+i31+i31−i31+i3−2i−2i2i2i−2ζ7−2ζ7−2ζ7−2ζ72ζ72ζ72ζ72ζ7−2ζ11−2ζ11−2ζ11−2ζ112ζ112ζ112ζ112ζ110000000000000000000000000000000000000000000000000000000000000000000000001−i321+i32-11+i32-11−i32−1+i32−1−i321−1−i321−1+i32−ζ7ζ7−ζ11ζ11−ii−ζ11ζ11−ii−ζ7ζ7
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χ1376-6−3−3i3−3+3i36i−6i3+3i33−3i36ζ116ζ7−6ζ11−6ζ76-6006i−6i−3−3i3−3+3i33+3i33−3i3000000000000006ζ116ζ7−6ζ11−6ζ70000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1396-6−3−3i3−3+3i36i−6i3+3i33−3i36ζ116ζ7−6ζ11−6ζ7-2200−2i2i1+i31−i3−1−i3−1+i3−2−2i3−2+2i342+2i32−2i3-4−2+2i34−2−2i32−2i3-42+2i300−2ζ11−2ζ72ζ112ζ704ζ114ζ74i0−4ζ11−4ζ7−4i04ζ74i4ζ110−4ζ7−4i−4ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1406-6−3−3i3−3+3i36i−6i3+3i33−3i36ζ116ζ7−6ζ11−6ζ7-2200−2i2i1+i31−i3−1−i3−1+i3−2+2i34−2−2i32−2i3-42+2i3−2−2i3−2+2i342+2i32−2i3-400−2ζ11−2ζ72ζ112ζ704ζ74i4ζ110−4ζ7−4i−4ζ1104ζ114ζ74i0−4ζ11−4ζ7−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1416-6−3−3i3−3+3i3−6i6i3+3i33−3i3−6ζ11−6ζ76ζ116ζ76-600−6i6i−3−3i3−3+3i33+3i33−3i300000000000000−6ζ11−6ζ76ζ116ζ70000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1436-6−3−3i3−3+3i3−6i6i3+3i33−3i3−6ζ11−6ζ76ζ116ζ7-22002i−2i1+i31−i3−1−i3−1+i3−2−2i3−2+2i342+2i32−2i3-4−2+2i34−2−2i32−2i3-42+2i3002ζ112ζ7−2ζ11−2ζ70−4ζ11−4ζ7−4i04ζ114ζ74i0−4ζ7−4i−4ζ1104ζ74i4ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1446-6−3−3i3−3+3i3−6i6i3+3i33−3i3−6ζ11−6ζ76ζ116ζ7-22002i−2i1+i31−i3−1−i3−1+i3−2+2i34−2−2i32−2i3-42+2i3−2−2i3−2+2i342+2i32−2i3-4002ζ112ζ7−2ζ11−2ζ70−4ζ7−4i−4ζ1104ζ74i4ζ110−4ζ11−4ζ7−4i04ζ114ζ74i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1456-6−3+3i3−3−3i36i−6i3−3i33+3i36ζ76ζ11−6ζ7−6ζ116-6006i−6i−3+3i3−3−3i33−3i33+3i3000000000000006ζ76ζ11−6ζ7−6ζ110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1476-6−3+3i3−3−3i36i−6i3−3i33+3i36ζ76ζ11−6ζ7−6ζ11-2200−2i2i1−i31+i3−1+i3−1−i3−2−2i34−2+2i32+2i3-42−2i3−2+2i3−2−2i342−2i32+2i3-400−2ζ7−2ζ112ζ72ζ1104ζ114i4ζ70−4ζ11−4i−4ζ704ζ74ζ114i0−4ζ7−4ζ11−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1496-6−3+3i3−3−3i3−6i6i3−3i33+3i3−6ζ7−6ζ116ζ76ζ116-600−6i6i−3+3i3−3−3i33−3i33+3i300000000000000−6ζ7−6ζ116ζ76ζ110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1506-6−3+3i3−3−3i3−6i6i3−3i33+3i3−6ζ7−6ζ116ζ76ζ11-22002i−2i1−i31+i3−1+i3−1−i34−2+2i3−2−2i3-42−2i32+2i34−2+2i3−2−2i3-42−2i32+2i3002ζ72ζ11−2ζ7−2ζ110−4i−4ζ7−4ζ1104i4ζ74ζ110−4i−4ζ7−4ζ1104i4ζ74ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1516-6−3+3i3−3−3i3−6i6i3−3i33+3i3−6ζ7−6ζ116ζ76ζ11-22002i−2i1−i31+i3−1+i3−1−i3−2−2i34−2+2i32+2i3-42−2i3−2+2i3−2−2i342−2i32+2i3-4002ζ72ζ11−2ζ7−2ζ110−4ζ11−4i−4ζ704ζ114i4ζ70−4ζ7−4ζ11−4i04ζ74ζ114i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1526-6−3+3i3−3−3i3−6i6i3−3i33+3i3−6ζ7−6ζ116ζ76ζ11-22002i−2i1−i31+i3−1+i3−1−i3−2+2i3−2−2i342−2i32+2i3-4−2−2i34−2+2i32+2i3-42−2i3002ζ72ζ11−2ζ7−2ζ110−4ζ7−4ζ11−4i04ζ74ζ114i0−4ζ11−4i−4ζ704ζ114i4ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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