Finite Group Databasebeta

← Group #135813

Character table — Group #135813

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111111111111222222222222222222222222222222224444444444444444444444444444444444444444444488888888888888881616161616161616
order1222222244444444222244444444444488888888888888884444888888881616161616161616161616161616161616161616161616161616161616161616888888888888888888888888
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
χ51111111111111111-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111111111111-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i
χ1011111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii
χ1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii
χ1211111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i
χ1311111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ1411111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ1511111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ1611111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ17111-1-11-1-1ii−i−ii−ii−i11-1-11-1ii−i−iii−i−i1-1iiii−i−i−i−i1111-1-1-1-11-1i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6
χ18111-1-11-1-1ii−i−ii−ii−i11-1-11-1ii−i−iii−i−i1-1iiii−i−i−i−i1111-1-1-1-11-1i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6
χ19111-1-11-1-1ii−i−ii−ii−i11-1-11-1ii−i−iii−i−i1-1iiii−i−i−i−i1111-1-1-1-11-1i−i11-1-1ii−i−i-1-1-1-11111−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiiiζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6
χ20111-1-11-1-1ii−i−ii−ii−i11-1-11-1ii−i−iii−i−i1-1iiii−i−i−i−i1111-1-1-1-11-1i−i11-1-1ii−i−i-1-1-1-11111−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6
χ21111-1-11-1-1ii−i−ii−ii−i-1-1111-1ii−i−i−i−iii1-1iiii−i−i−i−i1111-1-1-1-1-11−ii-1-111−i−iii1111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiiiζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2−ζ2ζ6−ζ6−ζ2ζ2−ζ6ζ6
χ22111-1-11-1-1ii−i−ii−ii−i-1-1111-1ii−i−i−i−iii1-1iiii−i−i−i−i1111-1-1-1-1-11−ii-1-111−i−iii1111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2ζ2−ζ6ζ6ζ2−ζ2ζ6−ζ6
χ23111-1-11-1-1ii−i−ii−ii−i-1-1111-1ii−i−i−i−iii1-1iiii−i−i−i−i1111-1-1-1-1-11−ii-1-111−i−iii-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2ζ2−ζ6ζ6ζ2−ζ2ζ6−ζ6
χ24111-1-11-1-1ii−i−ii−ii−i-1-1111-1ii−i−i−i−iii1-1iiii−i−i−i−i1111-1-1-1-1-11−ii-1-111−i−iii-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2−ζ2ζ6−ζ6−ζ2ζ2−ζ6ζ6
χ25111-1-11-1-1−i−iii−ii−ii11-1-11-1−i−iii−i−iii1-1−i−i−i−iiiii1111-1-1-1-11-1−ii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiiiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2
χ26111-1-11-1-1−i−iii−ii−ii11-1-11-1−i−iii−i−iii1-1−i−i−i−iiiii1111-1-1-1-11-1−ii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2
χ27111-1-11-1-1−i−iii−ii−ii11-1-11-1−i−iii−i−iii1-1−i−i−i−iiiii1111-1-1-1-11-1−ii11-1-1−i−iii-1-1-1-11111iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−iζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2
χ28111-1-11-1-1−i−iii−ii−ii11-1-11-1−i−iii−i−iii1-1−i−i−i−iiiii1111-1-1-1-11-1−ii11-1-1−i−iii-1-1-1-11111iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2
χ29111-1-11-1-1−i−iii−ii−ii-1-1111-1−i−iiiii−i−i1-1−i−i−i−iiiii1111-1-1-1-1-11i−i-1-111ii−i−i1111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−iζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6−ζ6ζ2−ζ2−ζ6ζ6−ζ2ζ2
χ30111-1-11-1-1−i−iii−ii−ii-1-1111-1−i−iiiii−i−i1-1−i−i−i−iiiii1111-1-1-1-1-11i−i-1-111ii−i−i1111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6ζ6−ζ2ζ2ζ6−ζ6ζ2−ζ2
χ31111-1-11-1-1−i−iii−ii−ii-1-1111-1−i−iiiii−i−i1-1−i−i−i−iiiii1111-1-1-1-1-11i−i-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiiiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6ζ6−ζ2ζ2ζ6−ζ6ζ2−ζ2
χ32111-1-11-1-1−i−iii−ii−ii-1-1111-1−i−iiiii−i−i1-1−i−i−i−iiiii1111-1-1-1-1-11i−i-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6−ζ6ζ2−ζ2−ζ6ζ6−ζ2ζ2
χ3322222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000
χ3422222222222222222222-2-2-2-2-2-22222-2-20000000000000000-2-2-2-20000000022−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−2000000000000000000000000
χ3522222222222222222222-2-2-2-2-2-22222-2-20000000000000000-2-2-2-200000000−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−222000000000000000000000000
χ362222222222222222-2-2-2-2222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000000000000000
χ372222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000022220000000022−2−222−2−222−2−222−2−2−2−222−2−222−2−222−2−222000000000000000000000000
χ382222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000222200000000−2−222−2−222−2−222−2−22222−2−222−2−222−2−222−2−2000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2222200000000000000000000000000000000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-20000000000000000-2-2220000000022−2−222−2−2−2−222−2−22222−2−222−2−2−2−222−2−222000000000000000000000000
χ4122222222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-20000000000000000-2-22200000000−2−222−2−22222−2−222−2−2−2−222−2−22222−2−222−2−2000000000000000000000000
χ4222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-200000000000000000000000000000000000000000000000000000000
χ4322222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2000000000000000022-2-20000000022−2−222−2−2−2−222−2−222−2−222−2−22222−2−222−2−2000000000000000000000000
χ4422222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2000000000000000022-2-200000000−2−222−2−22222−2−222−2−222−2−222−2−2−2−222−2−222000000000000000000000000
χ45222-2-22-2-22i2i−2i−2i2i−2i2i−2i22-2-22-22i2i−2i−2i2i2i−2i−2i2-2−2i−2i−2i−2i2i2i2i2i-2-2-2-222222-22i−2i-2-222−2i−2i2i2i00000000000000000000000000000000000000000000000000000000
χ46222-2-22-2-22i2i−2i−2i2i−2i2i−2i22-2-2-22−2i−2i2i2i2i2i−2i−2i-220000000000000000-22−2i2i0000000022−2−2−2−222i2i2−i2−i2−i2−i2i2i222−2−2−2−222i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ47222-2-22-2-22i2i−2i−2i2i−2i2i−2i22-2-2-22−2i−2i2i2i2i2i−2i−2i-220000000000000000-22−2i2i00000000−2−22222−2−2−i2−i2i2i2i2i2−i2−i2−2−22222−2−2−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ48222-2-22-2-22i2i−2i−2i2i−2i2i−2i-2-2222-22i2i−2i−2i−2i−2i2i2i2-2−2i−2i−2i−2i2i2i2i2i-2-2-2-22222-22−2i2i22-2-22i2i−2i−2i00000000000000000000000000000000000000000000000000000000
χ49222-2-22-2-22i2i−2i−2i2i−2i2i−2i-2-222-22−2i−2i2i2i−2i−2i2i2i-2200000000000000002-22i−2i0000000022−2−2−2−222i2i2−i2−i2−i2−i2i2i2−2−22222−2−2−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ50222-2-22-2-22i2i−2i−2i2i−2i2i−2i-2-222-22−2i−2i2i2i−2i−2i2i2i-2200000000000000002-22i−2i00000000−2−22222−2−2−i2−i2i2i2i2i2−i2−i222−2−2−2−222i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ51222-2-22-2-2−2i−2i2i2i−2i2i−2i2i22-2-22-2−2i−2i2i2i−2i−2i2i2i2-22i2i2i2i−2i−2i−2i−2i-2-2-2-222222-2−2i2i-2-2222i2i−2i−2i00000000000000000000000000000000000000000000000000000000
χ52222-2-22-2-2−2i−2i2i2i−2i2i−2i2i22-2-2-222i2i−2i−2i−2i−2i2i2i-220000000000000000-222i−2i0000000022−2−2−2−222−i2−i2i2i2i2i2−i2−i222−2−2−2−222−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ53222-2-22-2-2−2i−2i2i2i−2i2i−2i2i22-2-2-222i2i−2i−2i−2i−2i2i2i-220000000000000000-222i−2i00000000−2−22222−2−2i2i2−i2−i2−i2−i2i2i2−2−22222−2−2i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ54222-2-22-2-2−2i−2i2i2i−2i2i−2i2i-2-2222-2−2i−2i2i2i2i2i−2i−2i2-22i2i2i2i−2i−2i−2i−2i-2-2-2-22222-222i−2i22-2-2−2i−2i2i2i00000000000000000000000000000000000000000000000000000000
χ55222-2-22-2-2−2i−2i2i2i−2i2i−2i2i-2-222-222i2i−2i−2i2i2i−2i−2i-2200000000000000002-2−2i2i0000000022−2−2−2−222−i2−i2i2i2i2i2−i2−i2−2−22222−2−2i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ56222-2-22-2-2−2i−2i2i2i−2i2i−2i2i-2-222-222i2i−2i−2i2i2i−2i−2i-2200000000000000002-2−2i2i00000000−2−22222−2−2i2i2−i2−i2−i2−i2i2i222−2−2−2−222−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ5722-22-2-22-22222-2-2-2-22-22-20000002-22-20022−2−222−2−222−2−222−2−200002−22−22−22−2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5000000000000000000000000
χ5822-22-2-22-22222-2-2-2-22-22-20000002-22-20022−2−222−2−222−2−222−2−200002−22−22−22−2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5000000000000000000000000
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χ992-2-2-2-22222-2-2222-2-20000-2-22-2-22000022-22-222-22-2-22-222-22-2000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ1002-2-2-2-22222-2-2222-2-20000-2-22-2-22000022-22-222-22-2-22-222-22-200000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ1012-2-2-2-2222-222-2-2-2220000-2-2-222-20000222-22-2-22-22-22-222-22-2000000000000000000000000000000000000000000002-2-222-2-220000000000000000
χ1022-2-2-2-2222-222-2-2-2220000-2-2-222-20000222-22-2-22-22-22-222-22-200000000000000000000000000000000000000000000-222-2-222-20000000000000000
χ1032-2-2-2-2222-222-2-2-2220000-2-2-222-2000022-22-222-22-22-22-2-22-2200000000000000000000000000000000000000000000000000002-2-222-2-2200000000
χ1042-2-2-2-2222-222-2-2-2220000-2-2-222-2000022-22-222-22-22-22-2-22-220000000000000000000000000000000000000000000000000000-222-2-222-200000000
χ1054-444-4-4-444i−4i4i−4i−4i4i4i−4i00000000000000002i2−2i2−2i22i22i2−2i2−2i22i222−22−222222−22−222200000000000000000000000000000000000000000000000000000000000000000000
χ1064-444-4-4-444i−4i4i−4i−4i4i4i−4i0000000000000000−2i22i22i2−2i2−2i22i22i2−2i2−222222−22−222222−2200000000000000000000000000000000000000000000000000000000000000000000
χ1074-444-4-4-44−4i4i−4i4i4i−4i−4i4i00000000000000002i2−2i2−2i22i22i2−2i2−2i22i2−222222−22−222222−2200000000000000000000000000000000000000000000000000000000000000000000
χ1084-444-4-4-44−4i4i−4i4i4i−4i−4i4i0000000000000000−2i22i22i2−2i2−2i22i22i2−2i222−22−222222−22−222200000000000000000000000000000000000000000000000000000000000000000000
χ1094-44-44-44-44-4-44-4-444000000000000000022−22−2222−222222−2222−22−2222−222222−2200000000000000000000000000000000000000000000000000000000000000000000
χ1104-44-44-44-44-4-44-4-4440000000000000000−222222−2222−22−2222−222222−2222−22−222200000000000000000000000000000000000000000000000000000000000000000000
χ1114-44-44-44-4-444-444-4-4000000000000000022−22−2222−222222−22−222222−2222−22−222200000000000000000000000000000000000000000000000000000000000000000000
χ1124-44-44-44-4-444-444-4-40000000000000000−222222−2222−22−222222−22−2222−222222−2200000000000000000000000000000000000000000000000000000000000000000000
χ1134-4-4444-4-44i−4i4i−4i4i−4i−4i4i00004-4−4i4i−4i4i0000-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1144-4-4444-4-4−4i4i−4i4i−4i4i4i−4i00004-44i−4i4i−4i0000-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1154-4-4-4-44444-4-4444-4-4000044-444-40000-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1164-4-4-4-4444-444-4-4-4440000444-4-440000-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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