Finite Group Databasebeta

← Group #13135311

Character table — Group #13135311

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137
size111122222222222233333333444444444444444446666666666666666666666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212363636363636363636363636727272727272
order122234444666121212123366666648888121212122424242424242424333666666666121212121212121212121212121212121212121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424888824242424242424244412121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111111111111111−1−i32−1+i32111−1−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+i321111−1−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+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32
χ61111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111111111111111−1−i32−1+i32111−1−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+i321111−1−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+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321+i321−i321−i32
χ71111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-1-1-11111-1-1-1-1-1-1-1-11−1−i32−1+i32111−1−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+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321+i321−i321−i32
χ81111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-1-1-11111-1-1-1-1-1-1-1-11−1−i32−1+i32111−1−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+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32
χ91111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111111111111111−1+i32−1−i32111−1+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−i321111−1+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−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32
χ101111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111111111111111−1+i32−1−i32111−1+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−i321111−1+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−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321−i321+i321+i32
χ111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-1-1-11111-1-1-1-1-1-1-1-11−1+i32−1−i32111−1+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−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321−i321+i321+i32
χ121111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-1-1-11111-1-1-1-1-1-1-1-11−1+i32−1−i32111−1+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−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32
χ1311111-1-1-1-1111-1-1-1-1111111111ii−i−i11-1-1iiii−i−i−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1iiii−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iii−i−iii−i−iii−i−i1-11-11-1
χ1411111-1-1-1-1111-1-1-1-1111111111ii−i−i11-1-1iiii−i−i−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1iiii−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i−i−iii−i−iii−i−iii-11-11-11
χ1511111-1-1-1-1111-1-1-1-1111111111−i−iii11-1-1−i−i−i−iiiii111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiiiii−i−iii−i−iii−i−i-11-11-11
χ1611111-1-1-1-1111-1-1-1-1111111111−i−iii11-1-1−i−i−i−iiiii111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii−i−iii−i−iii−i−iii1-11-11-1
χ1711111-1-1-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321ii−i−i11-1-1iiii−i−i−i−i1−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321−i321−i32−1−i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32iiii−i−i−i−iζ11ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ii−i−iζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ71-1−1−i321+i32−1+i321−i32
χ1811111-1-1-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321ii−i−i11-1-1iiii−i−i−i−i1−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321−i321−i32−1−i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32iiii−i−i−i−iζ11ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−i−iii−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7-111+i32−1−i321−i32−1+i32
χ1911111-1-1-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−i−iii11-1-1−i−i−i−iiiii1−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321−i321−i32−1−i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−i−i−i−iiiii−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11ζ11−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7ζ7ii−i−iζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7-111+i32−1−i321−i32−1+i32
χ2011111-1-1-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−i−iii11-1-1−i−i−i−iiiii1−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321−i321−i32−1−i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−i−i−i−iiiii−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11ζ11−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7ζ7−i−iii−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ71-1−1−i321+i32−1+i321−i32
χ2111111-1-1-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321ii−i−i11-1-1iiii−i−i−i−i1−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321+i321+i32−1+i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32iiii−i−i−i−iζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ11ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ii−i−iζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ111-1−1+i321−i32−1−i321+i32
χ2211111-1-1-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321ii−i−i11-1-1iiii−i−i−i−i1−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321+i321+i32−1+i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32iiii−i−i−i−iζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ11ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−i−iii−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11-111−i32−1+i321+i32−1−i32
χ2311111-1-1-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i−iii11-1-1−i−i−i−iiiii1−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321+i321+i32−1+i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−i−i−i−iiiii−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11ζ11ii−i−iζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11-111−i32−1+i321+i32−1−i32
χ2411111-1-1-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i−iii11-1-1−i−i−i−iiiii1−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321+i321+i32−1+i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−i−i−i−iiiii−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11ζ11−i−iii−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ111-1−1+i321−i32−1−i321+i32
χ2522222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1000000000000000000
χ262222222222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-111111111-2-21111-2-21111-2-21111-2-21111000000000000000000
χ272222222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i322222222222222222-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32−1−i3−1−i3−1+i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-1-1-1-1-1−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32000000000000000000
χ282222222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i32-2-2-2-22222-2-2-2-2-2-2-2-2-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32−1−i3−1−i3−1+i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32111111111+i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32000000000000000000
χ292222222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i322222222222222222-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32−1+i3−1+i3−1−i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-1-1-1-1-1−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32000000000000000000
χ302222222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i32-2-2-2-22222-2-2-2-2-2-2-2-2-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32−1+i3−1+i3−1−i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32111111111−i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32000000000000000000
χ312222222-2-2222222222222222-20000-2-2-2-2000000002222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000
χ322222222-2-2222222222222222-20000-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111−i3−i3i3i3−i3−i3i3i300−i3−i3i3i300−i3−i3i3i300−i3−i3i3i300−i3−i3i3i3000000000000000000
χ332222222-2-2222222222222222-20000-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111i3i3−i3−i3i3i3−i3−i300i3i3−i3−i300i3i3−i3−i300i3i3−i3−i300i3i3−i3−i3000000000000000000
χ342222222-2-22222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-20000-2-2-2-2000000002−1−i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i32222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i31+i31+i31−i31−i31+i31−i3-2-2-2-21+i31+i31+i31+i31−i31−i31−i31−i300000000000000000000000000000000000000000000000000
χ352222222-2-22222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-20000-2-2-2-200000000-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32−1−i3−1−i3−1+i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i31+i31−i31−i31+i31−i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−i3−i3i3i3−i3−i3i3i300−3+i32−3+i323−i323−i3200−3+i32−3+i323−i323−i32003+i323+i32−3−i32−3−i32003+i323+i32−3−i32−3−i32000000000000000000
χ362222222-2-22222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-20000-2-2-2-200000000-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32−1−i3−1−i3−1+i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i31+i31−i31−i31+i31−i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32i3i3−i3−i3i3i3−i3−i3003−i323−i32−3+i32−3+i32003−i323−i32−3+i32−3+i3200−3−i32−3−i323+i323+i3200−3−i32−3−i323+i323+i32000000000000000000
χ372222222-2-22222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-20000-2-2-2-2000000002−1+i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i32222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i31−i31−i31+i31+i31−i31+i3-2-2-2-21−i31−i31−i31−i31+i31+i31+i31+i300000000000000000000000000000000000000000000000000
χ382222222-2-22222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-20000-2-2-2-200000000-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32−1+i3−1+i3−1−i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i31−i31+i31+i31−i31+i31111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−i3−i3i3i3−i3−i3i3i3003+i323+i32−3−i32−3−i32003+i323+i32−3−i32−3−i3200−3+i32−3+i323−i323−i3200−3+i32−3+i323−i323−i32000000000000000000
χ392222222-2-22222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-20000-2-2-2-200000000-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32−1+i3−1+i3−1−i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i31−i31+i31+i31−i31+i31111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32i3i3−i3−i3i3i3−i3−i300−3−i32−3−i323+i323+i3200−3−i32−3−i323+i323+i32003−i323−i32−3+i32−3+i32003−i323−i32−3+i32−3+i32000000000000000000
χ4022222-2-222222-2-2-2-222222222-20000-2-22200000000222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222-2-222-2-22200000000000000000000000000000000000000000000000000
χ4122222-2-222222-2-2-2-222222222-20000-2-22200000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111112222-2-211-1-111-1-111-1-133−3−3−3−3330033−3−300−3−3330033−3−300−3−333000000000000000000
χ4222222-2-222222-2-2-2-222222222-20000-2-22200000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111112222-2-211-1-111-1-111-1-1−3−33333−3−300−3−3330033−3−300−3−3330033−3−3000000000000000000
χ4322222-2-222222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-20000-2-222000000002−1−i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31+i31−i31−i3-2-2-2-21+i31+i31+i31+i31−i31−i31−i31−i3−1−i3−1−i3−1+i3−1+i31+i31−i3-2-2221+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i300000000000000000000000000000000000000000000000000
χ4422222-2-222222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-20000-2-22200000000-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i321+i31+i31−i31−i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i3−1−i3−1+i3−1+i31+i31−i311-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3233−3−3−3−333002ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ1100−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ1100−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ1100ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11000000000000000000
χ4522222-2-222222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-20000-2-22200000000-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i321+i31+i31−i31−i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i3−1−i3−1+i3−1+i31+i31−i311-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−3−33333−3−300−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11002ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ1100ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ1100−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11000000000000000000
χ4622222-2-222222-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-20000-2-222000000002−1+i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i31−i31+i31+i3-2-2-2-21−i31−i31−i31−i31+i31+i31+i31+i3−1+i3−1+i3−1−i3−1−i31−i31+i3-2-2221−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i300000000000000000000000000000000000000000000000000
χ4722222-2-222222-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-20000-2-22200000000-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i321−i31−i31+i31+i31111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i3−1+i3−1−i3−1−i31−i31+i311-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3233−3−3−3−33300−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ1100ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11002ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ1100−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11000000000000000000
χ4822222-2-222222-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-20000-2-22200000000-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i321−i31−i31+i31+i31111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i3−1+i3−1−i3−1−i31−i31+i311-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−3−33333−3−300ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ1100−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ1100−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11002ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11000000000000000000
χ4922222-2-2-2-2222-2-2-2-22222222222i2i−2i−2i22-2-22i2i2i2i−2i−2i−2i−2i-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-222-1-111-1-111-1-111−i−i−i−iiiii2i2i−i−i−i−i−2i−2iiiii2i2i−i−i−i−i−2i−2iiiii000000000000000000
χ5022222-2-2-2-2222-2-2-2-2222222222−2i−2i2i2i22-2-2−2i−2i−2i−2i2i2i2i2i-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-222-1-111-1-111-1-111iiii−i−i−i−i−2i−2iiiii2i2i−i−i−i−i−2i−2iiiii2i2i−i−i−i−i000000000000000000
χ5122222-2-2-2-2222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i322i2i−2i−2i22-2-22i2i2i2i−2i−2i−2i−2i-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i321+i31+i31−i31−i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i31+i31−i31−i3−1−i3−1+i3-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−i−i−i−iiiii2ζ112ζ11−ζ11−ζ11−ζ11−ζ11−2ζ11−2ζ11ζ11ζ11ζ11ζ112ζ72ζ7−ζ7−ζ7−ζ7−ζ7−2ζ7−2ζ7ζ7ζ7ζ7ζ7000000000000000000
χ5222222-2-2-2-2222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i32−2i−2i2i2i22-2-2−2i−2i−2i−2i2i2i2i2i-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i321+i31+i31−i31−i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i31+i31−i31−i3−1−i3−1+i3-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32iiii−i−i−i−i−2ζ11−2ζ11ζ11ζ11ζ11ζ112ζ112ζ11−ζ11−ζ11−ζ11−ζ11−2ζ7−2ζ7ζ7ζ7ζ7ζ72ζ72ζ7−ζ7−ζ7−ζ7−ζ7000000000000000000
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χ1174-4-444−4i4i00-44-4−4i−4i4i4i−2+2i3−2−2i32−2i32+2i32−2i3−2+2i32+2i3−2−2i300000000000000000-21−i31+i32-22−1+i31−i3−1+i3−1−i31+i3−1−i3−4ζ74ζ7−4ζ114ζ112i−2i2i−2i2ζ7−2ζ72ζ7−2ζ72ζ11−2ζ112ζ11−2ζ1100000000000000000000000000000000000000000000000000000000000000000000
χ1186666-36666-3-3-3-3-3-3-30000000066666-3-3-3-3-3-3-3-3-3-3-3-3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1246666-3-6-6-6-6-3-3-333330000000066i6i−6i−6i-3-333−3i−3i−3i−3i3i3i3i3i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1266-66-6-3006i−6i-333−3i33i3−3i33i30000000003+3i−3−3i3−3i−3+3i33−33−3i3i−3ζ2+3ζ7−3ζ10+3ζ113ζ2−3ζ73ζ10−3ζ11−3ζ2−3ζ7−3ζ10−3ζ113ζ2+3ζ73ζ10+3ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1276-66-6-3006i−6i-333−3i33i3−3i33i3000000000−3−3i3+3i−3+3i3−3i33−33−3i3i3ζ2−3ζ73ζ10−3ζ11−3ζ2+3ζ7−3ζ10+3ζ113ζ2+3ζ73ζ10+3ζ11−3ζ2−3ζ7−3ζ10−3ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1306-66-6-300−6i6i-333−3i33i3−3i33i30000000003−3i−3+3i3+3i−3−3i−33333i−3i−3ζ2−3ζ7−3ζ10−3ζ113ζ2+3ζ73ζ10+3ζ11−3ζ2+3ζ7−3ζ10+3ζ113ζ2−3ζ73ζ10−3ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1316-66-6-300−6i6i-333−3i33i3−3i33i3000000000−3+3i3−3i−3−3i3+3i−33333i−3i3ζ2+3ζ73ζ10+3ζ11−3ζ2−3ζ7−3ζ10−3ζ113ζ2−3ζ73ζ10−3ζ11−3ζ2+3ζ7−3ζ10+3ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1326-66-6-300−6i6i-3333i3−3i33i3−3i30000000003−3i−3+3i3+3i−3−3i33−333i−3i−3ζ10−3ζ11−3ζ2−3ζ73ζ10+3ζ113ζ2+3ζ7−3ζ10+3ζ11−3ζ2+3ζ73ζ10−3ζ113ζ2−3ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1336-66-6-300−6i6i-3333i3−3i33i3−3i3000000000−3+3i3−3i−3−3i3+3i33−333i−3i3ζ10+3ζ113ζ2+3ζ7−3ζ10−3ζ11−3ζ2−3ζ73ζ10−3ζ113ζ2−3ζ7−3ζ10+3ζ11−3ζ2+3ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1341212-12-12-6000066-663−63−63630000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1351212-12-12-6000066-6−636363−630000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13612-12-1212-612i−12i006-66−6i−6i6i6i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13712-12-1212-6−12i12i006-666i6i−6i−6i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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