Finite Group Databasebeta

← Group #140831

Character table — Group #140831

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111111111111222222222222222222222222222222224444444444444444444444444444444444444444444488888888888888881616161616161616
order12224444888888882244444444444444888888888888888844444488888816161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161644448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ911111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111
χ1011111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1
χ1111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1
χ1211111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111
χ1311111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1
χ1411111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111
χ1511111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111
χ1611111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1
χ171111-1-1-1-1ii−i−iii−i−i-1-111-1-1iiii−i−i−i−i11i−i1111-1-1-1-1i−iii−i−i1-1ii−i−ii−i11-1-1ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ21-11-1i−ii−i
χ181111-1-1-1-1ii−i−iii−i−i-1-111-1-1iiii−i−i−i−i11i−i1111-1-1-1-1i−iii−i−i1-1ii−i−ii−i11-1-1ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2-11-11−ii−ii
χ191111-1-1-1-1ii−i−iii−i−i-1-111-1-1iiii−i−i−i−i11i−i1111-1-1-1-1i−iii−i−i1-1ii−i−ii−i11-1-1−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2-11-11−ii−ii
χ201111-1-1-1-1ii−i−iii−i−i-1-111-1-1iiii−i−i−i−i11i−i1111-1-1-1-1i−iii−i−i1-1ii−i−ii−i11-1-1−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ21-11-1i−ii−i
χ211111-1-1-1-1ii−i−iii−i−i-1-111-1-1−i−i−i−iiiii11i−i-1-1-1-11111i−iii−i−i1-1−i−iiii−i-1-111ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ21-1-11i−i−ii
χ221111-1-1-1-1ii−i−iii−i−i-1-111-1-1−i−i−i−iiiii11i−i-1-1-1-11111i−iii−i−i1-1−i−iiii−i-1-111ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2-111-1−iii−i
χ231111-1-1-1-1ii−i−iii−i−i-1-111-1-1−i−i−i−iiiii11i−i-1-1-1-11111i−iii−i−i1-1−i−iiii−i-1-111−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2-111-1−iii−i
χ241111-1-1-1-1ii−i−iii−i−i-1-111-1-1−i−i−i−iiiii11i−i-1-1-1-11111i−iii−i−i1-1−i−iiii−i-1-111−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ21-1-11i−i−ii
χ251111-1-1-1-1−i−iii−i−iii-1-111-1-1iiii−i−i−i−i11−ii-1-1-1-11111−ii−i−iii1-1ii−i−i−ii-1-111ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ61-1-11−iii−i
χ261111-1-1-1-1−i−iii−i−iii-1-111-1-1iiii−i−i−i−i11−ii-1-1-1-11111−ii−i−iii1-1ii−i−i−ii-1-111ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6-111-1i−i−ii
χ271111-1-1-1-1−i−iii−i−iii-1-111-1-1iiii−i−i−i−i11−ii-1-1-1-11111−ii−i−iii1-1ii−i−i−ii-1-111−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6-111-1i−i−ii
χ281111-1-1-1-1−i−iii−i−iii-1-111-1-1iiii−i−i−i−i11−ii-1-1-1-11111−ii−i−iii1-1ii−i−i−ii-1-111−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ61-1-11−iii−i
χ291111-1-1-1-1−i−iii−i−iii-1-111-1-1−i−i−i−iiiii11−ii1111-1-1-1-1−ii−i−iii1-1−i−iii−ii11-1-1ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ61-11-1−ii−ii
χ301111-1-1-1-1−i−iii−i−iii-1-111-1-1−i−i−i−iiiii11−ii1111-1-1-1-1−ii−i−iii1-1−i−iii−ii11-1-1ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6-11-11i−ii−i
χ311111-1-1-1-1−i−iii−i−iii-1-111-1-1−i−i−i−iiiii11−ii1111-1-1-1-1−ii−i−iii1-1−i−iii−ii11-1-1−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6-11-11i−ii−i
χ321111-1-1-1-1−i−iii−i−iii-1-111-1-1−i−i−i−iiiii11−ii1111-1-1-1-1−ii−i−iii1-1−i−iii−ii11-1-1−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ61-11-1−ii−ii
χ33222222222222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000
χ34222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222-2-2-2-2-2-22222-2-2222200000000000000000000000000000000000000000000000000000000
χ352222222222222222-2-2222200000000-2-2-2-200000000-2-22222-2-20000-2-2000022-2-222-2-222-2-222-2-20000000000000000000000000000000000000000
χ362222222222222222-2-2222200000000-2-2-2-200000000-2-22222-2-20000-2-20000-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000
χ372222222222222222-2-2-2-2-2-200000000-2-2-2-200000000-2-2-2-2-2-222000022000000000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ382222222222222222-2-2-2-2-2-200000000-2-2-2-200000000-2-2-2-2-2-22200002200000000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-222222200000000000000000000000000000000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-222-2-222222222-2-22222-2-2222222-2-2-2-200000000000000000000000000000000000000000000000000000000
χ4122222222-2-2-2-2-2-2-2-2-2-2222200000000-2-2220000000022-2-2-2-2-2-200002200002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000
χ4222222222-2-2-2-2-2-2-2-2-2-2222200000000-2-2220000000022-2-2-2-2-2-20000220000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000
χ4322222222-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-2-22200000000222222220000-2-20000000000000000000022-2-222-2-2-2-222-2-222000000000000000000000000
χ4422222222-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-2-22200000000222222220000-2-200000000000000000000-2-222-2-22222-2-222-2-2000000000000000000000000
χ452222-2-2-2-22i2i−2i−2i2i2i−2i−2i2222-2-200000000-2-2−2i2i00000000−2i2i2i2i−2i−2i-220000−2i2i00002ζ22ζ2−2ζ2−2ζ2−2ζ2−2ζ22ζ22ζ22ζ62ζ6−2ζ6−2ζ6−2ζ6−2ζ62ζ62ζ60000000000000000000000000000000000000000
χ462222-2-2-2-22i2i−2i−2i2i2i−2i−2i2222-2-200000000-2-2−2i2i00000000−2i2i2i2i−2i−2i-220000−2i2i0000−2ζ2−2ζ22ζ22ζ22ζ22ζ2−2ζ2−2ζ2−2ζ6−2ζ62ζ62ζ62ζ62ζ6−2ζ6−2ζ60000000000000000000000000000000000000000
χ472222-2-2-2-22i2i−2i−2i2i2i−2i−2i22-2-22200000000-2-2−2i2i00000000−2i2i−2i−2i2i2i2-200002i−2i000000000000000000002ζ22ζ2−2ζ2−2ζ2−2ζ2−2ζ22ζ22ζ2−2ζ6−2ζ62ζ62ζ62ζ62ζ6−2ζ6−2ζ6000000000000000000000000
χ482222-2-2-2-22i2i−2i−2i2i2i−2i−2i22-2-22200000000-2-2−2i2i00000000−2i2i−2i−2i2i2i2-200002i−2i00000000000000000000−2ζ2−2ζ22ζ22ζ22ζ22ζ2−2ζ2−2ζ22ζ62ζ6−2ζ6−2ζ6−2ζ6−2ζ62ζ62ζ6000000000000000000000000
χ492222-2-2-2-22i2i−2i−2i2i2i−2i−2i-2-2-2-2222i2i2i2i−2i−2i−2i−2i222i−2i2222-2-2-2-22i−2i−2i−2i2i2i-22−2i−2i2i2i−2i2i-2-22200000000000000000000000000000000000000000000000000000000
χ502222-2-2-2-22i2i−2i−2i2i2i−2i−2i-2-2-2-222−2i−2i−2i−2i2i2i2i2i222i−2i-2-2-2-222222i−2i−2i−2i2i2i-222i2i−2i−2i−2i2i22-2-200000000000000000000000000000000000000000000000000000000
χ512222-2-2-2-2−2i−2i2i2i−2i−2i2i2i2222-2-200000000-2-22i−2i000000002i−2i−2i−2i2i2i-2200002i−2i00002ζ62ζ6−2ζ6−2ζ6−2ζ6−2ζ62ζ62ζ62ζ22ζ2−2ζ2−2ζ2−2ζ2−2ζ22ζ22ζ20000000000000000000000000000000000000000
χ522222-2-2-2-2−2i−2i2i2i−2i−2i2i2i2222-2-200000000-2-22i−2i000000002i−2i−2i−2i2i2i-2200002i−2i0000−2ζ6−2ζ62ζ62ζ62ζ62ζ6−2ζ6−2ζ6−2ζ2−2ζ22ζ22ζ22ζ22ζ2−2ζ2−2ζ20000000000000000000000000000000000000000
χ532222-2-2-2-2−2i−2i2i2i−2i−2i2i2i22-2-22200000000-2-22i−2i000000002i−2i2i2i−2i−2i2-20000−2i2i000000000000000000002ζ62ζ6−2ζ6−2ζ6−2ζ6−2ζ62ζ62ζ6−2ζ2−2ζ22ζ22ζ22ζ22ζ2−2ζ2−2ζ2000000000000000000000000
χ542222-2-2-2-2−2i−2i2i2i−2i−2i2i2i22-2-22200000000-2-22i−2i000000002i−2i2i2i−2i−2i2-20000−2i2i00000000000000000000−2ζ6−2ζ62ζ62ζ62ζ62ζ6−2ζ6−2ζ62ζ22ζ2−2ζ2−2ζ2−2ζ2−2ζ22ζ22ζ2000000000000000000000000
χ552222-2-2-2-2−2i−2i2i2i−2i−2i2i2i-2-2-2-2222i2i2i2i−2i−2i−2i−2i22−2i2i-2-2-2-22222−2i2i2i2i−2i−2i-22−2i−2i2i2i2i−2i22-2-200000000000000000000000000000000000000000000000000000000
χ562222-2-2-2-2−2i−2i2i2i−2i−2i2i2i-2-2-2-222−2i−2i−2i−2i2i2i2i2i22−2i2i2222-2-2-2-2−2i2i2i2i−2i−2i-222i2i−2i−2i2i−2i-2-22200000000000000000000000000000000000000000000000000000000
χ5722-2-222-2-22222-2-2-2-22-2000022-2-222-2-22-22222-2-222-2-2-2-20000000000000000000000000000000000000000000000002−22−22−22−22−22−22−22−200000000
χ5822-2-222-2-22222-2-2-2-22-2000022-2-222-2-22-22222-2-222-2-2-2-2000000000000000000000000000000000000000000000000−22−22−22−22−22−22−22−2200000000
χ5922-2-222-2-22222-2-2-2-22-20000-2-222-2-2222-222-2-222-2-222-2-20000000000000000000000000000000000000000000000002−22−22−22−2−22−22−22−2200000000
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χ1012-22-2−2i2i−2i2i−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ200-222i−2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00002−22−2−i2i2−i2i2002ζ6−2ζ62ζ2−2ζ200−1+i1−i−1−i1+i00−22i2−i22ζ7−2ζ7002ζ3−2ζ3002ζ5−2ζ5002ζ−2ζ00ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ−ζ5−ζ+ζ5−ζ+ζ5ζ−ζ5ζ+ζ5−ζ−ζ5−ζ−ζ5ζ+ζ5000000000000000000000000
χ1022-22-2−2i2i−2i2i−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ200-222i−2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00002−22−2−i2i2−i2i2002ζ6−2ζ62ζ2−2ζ200−1+i1−i−1−i1+i00−22i2−i2−2ζ72ζ700−2ζ32ζ300−2ζ52ζ500−2ζ2ζ00−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ+ζ5ζ−ζ5ζ−ζ5−ζ+ζ5−ζ−ζ5ζ+ζ5ζ+ζ5−ζ−ζ5000000000000000000000000
χ1032-22-2−2i2i−2i2i−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ200-222i−2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000−22−22i2−i2i2−i2002ζ6−2ζ62ζ2−2ζ2001−i−1+i1+i−1−i002−2−i2i22ζ7−2ζ7002ζ3−2ζ3002ζ5−2ζ5002ζ−2ζ00−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ+ζ5ζ−ζ5ζ−ζ5−ζ+ζ5−ζ−ζ5ζ+ζ5ζ+ζ5−ζ−ζ5000000000000000000000000
χ1042-22-2−2i2i−2i2i−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ200-222i−2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000−22−22i2−i2i2−i2002ζ6−2ζ62ζ2−2ζ2001−i−1+i1+i−1−i002−2−i2i2−2ζ72ζ700−2ζ32ζ300−2ζ52ζ500−2ζ2ζ00ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ−ζ5−ζ+ζ5−ζ+ζ5ζ−ζ5ζ+ζ5−ζ−ζ5−ζ−ζ5ζ+ζ5000000000000000000000000
χ10544-4-444-4-44444-4-4-4-4-44000000000000-44-4-40000000044000000000000000000000000000000000000000000000000000000000000000000000000
χ10644-4-444-4-4-4-4-4-44444-44000000000000-444400000000-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ10744-4-4-4-4444i4i−4i−4i−4i−4i4i4i4-4000000000000-44−4i4i000000004i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ10844-4-4-4-444−4i−4i4i4i4i4i−4i−4i4-4000000000000-444i−4i00000000−4i4i000000000000000000000000000000000000000000000000000000000000000000000000
χ1094-4-444i−4i−4i4i4ζ2−4ζ24ζ6−4ζ6−4ζ24ζ2−4ζ64ζ60000002+2i−2−2i−2−2i2+2i2−2i−2+2i−2+2i2−2i000022−22−22222i2−2i2−2i22i200000000000000000000000000000000000000000000000000000000000000000000000000
χ1104-4-444i−4i−4i4i4ζ2−4ζ24ζ6−4ζ6−4ζ24ζ2−4ζ64ζ6000000−2−2i2+2i2+2i−2−2i−2+2i2−2i2−2i−2+2i0000−222222−22−2i22i22i2−2i200000000000000000000000000000000000000000000000000000000000000000000000000
χ1114-4-444i−4i−4i4i−4ζ24ζ2−4ζ64ζ64ζ2−4ζ24ζ6−4ζ60000002+2i−2−2i−2−2i2+2i2−2i−2+2i−2+2i2−2i0000−222222−22−2i22i22i2−2i200000000000000000000000000000000000000000000000000000000000000000000000000
χ1124-4-444i−4i−4i4i−4ζ24ζ2−4ζ64ζ64ζ2−4ζ24ζ6−4ζ6000000−2−2i2+2i2+2i−2−2i−2+2i2−2i2−2i−2+2i000022−22−22222i2−2i2−2i22i200000000000000000000000000000000000000000000000000000000000000000000000000
χ1134-4-44−4i4i4i−4i4ζ6−4ζ64ζ2−4ζ2−4ζ64ζ6−4ζ24ζ20000002−2i−2+2i−2+2i2−2i2+2i−2−2i−2−2i2+2i0000−222222−222i2−2i2−2i22i200000000000000000000000000000000000000000000000000000000000000000000000000
χ1144-4-44−4i4i4i−4i4ζ6−4ζ64ζ2−4ζ2−4ζ64ζ6−4ζ24ζ2000000−2+2i2−2i2−2i−2+2i−2−2i2+2i2+2i−2−2i000022−22−2222−2i22i22i2−2i200000000000000000000000000000000000000000000000000000000000000000000000000
χ1154-4-44−4i4i4i−4i−4ζ64ζ6−4ζ24ζ24ζ6−4ζ64ζ2−4ζ20000002−2i−2+2i−2+2i2−2i2+2i−2−2i−2−2i2+2i000022−22−2222−2i22i22i2−2i200000000000000000000000000000000000000000000000000000000000000000000000000
χ1164-4-44−4i4i4i−4i−4ζ64ζ6−4ζ24ζ24ζ6−4ζ64ζ2−4ζ2000000−2+2i2−2i2−2i−2+2i−2−2i2+2i2+2i−2−2i0000−222222−222i2−2i2−2i22i200000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.