Finite Group Databasebeta

← Group #13135256

Character table — Group #13135256

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137
size111122222222222233333333444444444444444446666666666666666666666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212363636363636363636363636727272727272
order1222223446666666336666664444412121212121212121212121233366666666666666666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212888824242424242424244412121212
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+i32−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32111−1−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+i32−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32111−1−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+i32−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32111−1−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+i32−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32111−1−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−i32−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32111−1+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−i32−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32111−1+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−i32−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32111−1+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−i32−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32111−1+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
χ131111-1-11-1-111-1-11-1-1111111111ii−i−i11-1-1iiii−i−i−i−i111-1-111-1-111-1-111-1-1-1-11-1-11-1-11-1-1-1-1-1-11111-1-111-1-111-1-1iiii−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iii−i−iii−i−iii−i−i1-111-1-1
χ141111-1-11-1-111-1-11-1-1111111111ii−i−i11-1-1iiii−i−i−i−i111-1-111-1-111-1-111-1-1-1-11-1-11-1-11-1-1-1-1-1-11111-1-111-1-111-1-1iiii−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i−i−iii−i−iii−i−iii-11-1-111
χ151111-1-11-1-111-1-11-1-1111111111−i−iii11-1-1−i−i−i−iiiii111-1-111-1-111-1-111-1-1-1-11-1-11-1-11-1-1-1-1-1-11111-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiiiii−i−iii−i−iii−i−i-11-1-111
χ161111-1-11-1-111-1-11-1-1111111111−i−iii11-1-1−i−i−i−iiiii111-1-111-1-111-1-111-1-1-1-11-1-11-1-11-1-1-1-1-1-11111-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii−i−iii−i−iii−i−iii1-111-1-1
χ171111-1-11-1-111-1-11-1-1−1−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+i321+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321−i321-1-1−1−i321+i321+i32−1+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−iζ22ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22ζ14ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ141-1−1−i32−1+i321+i321−i32
χ181111-1-11-1-111-1-11-1-1−1−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+i321+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321−i321-1-1−1−i321+i321+i32−1+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−iζ22ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22ζ14ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14-111+i321−i32−1−i32−1+i32
χ191111-1-11-1-111-1-11-1-1−1−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+i321+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321−i321-1-1−1−i321+i321+i32−1+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−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22ζ22ζ22−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14ζ14ζ14ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14-111+i321−i32−1−i32−1+i32
χ201111-1-11-1-111-1-11-1-1−1−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+i321+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321−i321-1-1−1−i321+i321+i32−1+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−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22ζ22ζ22−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14ζ14ζ14−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ141-1−1−i32−1+i321+i321−i32
χ211111-1-11-1-111-1-11-1-1−1+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−i321−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321+i321-1-1−1+i321−i321−i32−1−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−iζ14ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14ζ22ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ221-1−1+i32−1−i321−i321+i32
χ221111-1-11-1-111-1-11-1-1−1+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−i321−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321+i321-1-1−1+i321−i321−i32−1−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−iζ14ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14ζ22ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22-111−i321+i32−1+i32−1−i32
χ231111-1-11-1-111-1-11-1-1−1+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−i321−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321+i321-1-1−1+i321−i321−i32−1−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−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14ζ14ζ14−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22ζ22ζ22ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22-111−i321+i32−1+i32−1−i32
χ241111-1-11-1-111-1-11-1-1−1+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−i321−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321+i321-1-1−1+i321−i321−i32−1−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−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14ζ14ζ14−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22ζ22ζ22−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ221-1−1+i32−1−i321−i321+i32
χ2522222222222222222222222222222222222222222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1000000000000000000
χ262222222222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-111111111-2-21111-2-21111-2-21111-2-21111000000000000000000
χ272222222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i322222222222222222-11+i321−i32−1−i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i3−1+i3-1-1-11+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−i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i3−1+i3-1-1-11+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+i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i3−1−i3-1-1-11−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+i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i3−1−i3-1-1-11−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
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χ322222222-2-2222222222222222-20000-2-2-2-200000000-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111−i3−i3i3i3−i3−i3i3i300−i3−i3i3i300−i3−i3i3i300−i3−i3i3i300−i3−i3i3i3000000000000000000
χ332222222-2-2222222222222222-20000-2-2-2-200000000-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111i3i3−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+i3−1−i3−1+i32222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1−i3−1+i3222−1−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−i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i3−1+i3-1-1-11+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−i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i3−1+i3-1-1-11+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
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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+i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i3−1−i3-1-1-11−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
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χ422222-2-222222-2-22-2-222222222-20000-2-22200000000-1-1-1-2-2-1-111-1-111-1-111-2-2-111-111-1112222-2-211-1-111-1-111-1-1−3−33333−3−300−3−3330033−3−300−3−3330033−3−3000000000000000000
χ432222-2-222222-2-22-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-20000-2-222000000002−1−i3−1+i31+i31−i322-2-2−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i31+i31−i32-2-2−1−i31+i31+i3−1+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
χ442222-2-222222-2-22-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-20000-2-22200000000-11+i321−i321+i31−i3-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i31−i3-1111+i32−1−i32−1−i321−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−i3233−3−3−3−333002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ2200−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ2200ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22000000000000000000
χ452222-2-222222-2-22-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-20000-2-22200000000-11+i321−i321+i31−i3-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i31−i3-1111+i32−1−i32−1−i321−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−i32−3−33333−3−300−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ2200ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ2200−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22000000000000000000
χ462222-2-222222-2-22-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-20000-2-222000000002−1+i3−1−i31−i31+i322-2-2−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i31−i31+i32-2-2−1+i31−i31−i3−1−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
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χ1326-66-600-3−6i6i3-33i3−3i333i3−3i30000000003−3i−3+3i3+3i−3−3i33−333i−3i−3ζ20−3ζ22−3ζ4−3ζ143ζ20+3ζ223ζ4+3ζ14−3ζ20+3ζ22−3ζ4+3ζ143ζ20−3ζ223ζ4−3ζ14000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1336-66-600-3−6i6i3-33i3−3i333i3−3i3000000000−3+3i3−3i−3−3i3+3i33−333i−3i3ζ20+3ζ223ζ4+3ζ14−3ζ20−3ζ22−3ζ4−3ζ143ζ20−3ζ223ζ4−3ζ14−3ζ20+3ζ22−3ζ4+3ζ14000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1341212-12-1212-12-600-66-6-66660000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1351212-12-12-1212-600-66666-6-60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13612-12-121200-60066−6i36i3-66i3−6i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13712-12-121200-600666i3−6i3-6−6i36i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.