Finite Group Databasebeta

← Group #97667

Character table — Group #97667

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111111111111122222222222222224444444444444444444444444444444444448888888888888888888888888888888816161616
order12222222444444444444444444444444444444444444444444448888888888888888222244444444444488888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−i
χ1011111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii
χ1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iii
χ1211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iii−i−i
χ1311111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-11111-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iii
χ1411111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-11111-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i
χ1511111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−i
χ1611111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii
χ17111-1-11-1-1iii−i−i−ii−i1111-1-1-1-1ii−i−iii−i−i11-1-1ii−i−i11-1-1ii−i−i1-1i−iζζζζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ31-11-1i−ii−i11-1-1ii−i−iζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζ−ζζ3−ζ3
χ18111-1-11-1-1iii−i−i−ii−i1111-1-1-1-1ii−i−iii−i−i11-1-1ii−i−i11-1-1ii−i−i1-1i−i−ζ−ζ−ζ−ζζζζζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ31-11-1i−ii−i11-1-1ii−i−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζζ−ζ3ζ3
χ19111-1-11-1-1iii−i−i−ii−i1111-1-1-1-1ii−i−iii−i−i11-1-1ii−i−i-1-111−i−iii1-1i−iζζζζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ31-1-11i−i−ii-1-111−i−iiiζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζζ−ζ3ζ3
χ20111-1-11-1-1iii−i−i−ii−i1111-1-1-1-1ii−i−iii−i−i11-1-1ii−i−i-1-111−i−iii1-1i−i−ζ−ζ−ζ−ζζζζζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ31-1-11i−i−ii-1-111−i−iii−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζ−ζζ3−ζ3
χ21111-1-11-1-1iii−i−i−ii−i1111-1-1-1-1ii−i−iii−i−i-1-111−i−iii11-1-1ii−i−i1-1i−iζζζζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3-111-1−iii−i-1-111−i−iii−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζζ−ζ3ζ3
χ22111-1-11-1-1iii−i−i−ii−i1111-1-1-1-1ii−i−iii−i−i-1-111−i−iii11-1-1ii−i−i1-1i−i−ζ−ζ−ζ−ζζζζζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3-111-1−iii−i-1-111−i−iiiζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζ−ζζ3−ζ3
χ23111-1-11-1-1iii−i−i−ii−i1111-1-1-1-1ii−i−iii−i−i-1-111−i−iii-1-111−i−iii1-1i−iζζζζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3-11-11−ii−ii11-1-1ii−i−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζ−ζζ3−ζ3
χ24111-1-11-1-1iii−i−i−ii−i1111-1-1-1-1ii−i−iii−i−i-1-111−i−iii-1-111−i−iii1-1i−i−ζ−ζ−ζ−ζζζζζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3-11-11−ii−ii11-1-1ii−i−iζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζζ−ζ3ζ3
χ25111-1-11-1-1−i−i−iiii−ii1111-1-1-1-1−i−iii−i−iii11-1-1−i−iii11-1-1−i−iii1-1−iiζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζζζζ−ζ−ζ−ζ−ζ1-11-1−ii−ii11-1-1−i−iiiζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3−ζ3ζ−ζ
χ26111-1-11-1-1−i−i−iiii−ii1111-1-1-1-1−i−iii−i−iii11-1-1−i−iii11-1-1−i−iii1-1−ii−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζζζζζ1-11-1−ii−ii11-1-1−i−iii−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3ζ3−ζζ
χ27111-1-11-1-1−i−i−iiii−ii1111-1-1-1-1−i−iii−i−iii11-1-1−i−iii-1-111ii−i−i1-1−iiζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζζζζ−ζ−ζ−ζ−ζ1-1-11−iii−i-1-111ii−i−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3ζ3−ζζ
χ28111-1-11-1-1−i−i−iiii−ii1111-1-1-1-1−i−iii−i−iii11-1-1−i−iii-1-111ii−i−i1-1−ii−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζζζζζ1-1-11−iii−i-1-111ii−i−i−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3−ζ3ζ−ζ
χ29111-1-11-1-1−i−i−iiii−ii1111-1-1-1-1−i−iii−i−iii-1-111ii−i−i11-1-1−i−iii1-1−iiζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζζζζ−ζ−ζ−ζ−ζ-111-1i−i−ii-1-111ii−i−i−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3ζ3−ζζ
χ30111-1-11-1-1−i−i−iiii−ii1111-1-1-1-1−i−iii−i−iii-1-111ii−i−i11-1-1−i−iii1-1−ii−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζζζζζ-111-1i−i−ii-1-111ii−i−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3−ζ3ζ−ζ
χ31111-1-11-1-1−i−i−iiii−ii1111-1-1-1-1−i−iii−i−iii-1-111ii−i−i-1-111ii−i−i1-1−iiζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζζζζ−ζ−ζ−ζ−ζ-11-11i−ii−i11-1-1−i−iii−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3−ζ3ζ−ζ
χ32111-1-11-1-1−i−i−iiii−ii1111-1-1-1-1−i−iii−i−iii-1-111ii−i−i-1-111ii−i−i1-1−ii−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζζζζζ-11-11i−ii−i11-1-1−i−iiiζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3ζ3−ζζ
χ33222222222222222222-2-222-2-22-22-22-22-20000000022222222-2-2-2-2000000000000000000-2-200-2-20000000000000000000000000000
χ34222222222222222222-2-222-2-22-22-22-22-200000000-2-2-2-2-2-2-2-2-2-2-2-20000000000000000002200220000000000000000000000000000
χ352222222222222222-2-222-2-222-22-22-22-222222222200000000-2-2-2-20000000000000000-2-200-2-2000000000000000000000000000000
χ362222222222222222-2-222-2-222-22-22-22-22-2-2-2-2-2-2-2-200000000-2-2-2-20000000000000000220022000000000000000000000000000000
χ372222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000022220000000000000000000000002-22-22-22-200000000000000000000
χ382222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000002222000000000000000000000000-22-22-22-2200000000000000000000
χ3922222222-2-2-2-2-2-2-2-222-2-222-2-2-22-22-22-22000000002222-2-2-2-2-2-222000000000000000000-2-200220000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-222-2-222-2-2-22-22-22-2200000000-2-2-2-22222-2-2220000000000000000002200-2-20000000000000000000000000000
χ4122222222-2-2-2-2-2-2-2-2-2-222-2-2222-22-22-22-22222-2-2-2-200000000-2-2220000000000000000-2-20022000000000000000000000000000000
χ4222222222-2-2-2-2-2-2-2-2-2-222-2-2222-22-22-22-2-2-2-2-2222200000000-2-22200000000000000002200-2-2000000000000000000000000000000
χ4322222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000022-2-20000000000000000000000002-22-2-22-2200000000000000000000
χ4422222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000022-2-2000000000000000000000000-22-222-22-200000000000000000000
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χ48222-2-22-2-22i2i2i−2i−2i−2i2i−2i-2-22222-2-2−2i2i2i−2i−2i2i2i−2i-2-222−2i−2i2i2i00000000-22−2i2i00000000000000002-2002i−2i000000000000000000000000000000
χ49222-2-22-2-22i2i2i−2i−2i−2i2i−2i-2-2-2-22222−2i−2i2i2i−2i−2i2i2i00000000000000002-22i−2i0000000000000000000000002-2-222i−2i−2i2i00000000000000000000
χ50222-2-22-2-22i2i2i−2i−2i−2i2i−2i-2-2-2-22222−2i−2i2i2i−2i−2i2i2i00000000000000002-22i−2i000000000000000000000000-222-2−2i2i2i−2i00000000000000000000
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χ52222-2-22-2-2−2i−2i−2i2i2i2i−2i2i22-2-2-2-222−2i2i2i−2i−2i2i2i−2i00000000-2-2222i2i−2i−2i-222i−2i0000000000000000002-200−2i2i0000000000000000000000000000
χ53222-2-22-2-2−2i−2i−2i2i2i2i−2i2i-2-22222-2-22i−2i−2i2i2i−2i−2i2i22-2-2−2i−2i2i2i00000000-222i−2i0000000000000000-22002i−2i000000000000000000000000000000
χ54222-2-22-2-2−2i−2i−2i2i2i2i−2i2i-2-22222-2-22i−2i−2i2i2i−2i−2i2i-2-2222i2i−2i−2i00000000-222i−2i00000000000000002-200−2i2i000000000000000000000000000000
χ55222-2-22-2-2−2i−2i−2i2i2i2i−2i2i-2-2-2-222222i2i−2i−2i2i2i−2i−2i00000000000000002-2−2i2i0000000000000000000000002-2-22−2i2i2i−2i00000000000000000000
χ56222-2-22-2-2−2i−2i−2i2i2i2i−2i2i-2-2-2-222222i2i−2i−2i2i2i−2i−2i00000000000000002-2−2i2i000000000000000000000000-222-22i−2i−2i2i00000000000000000000
χ5722-22-2-22-222-222-2-2-2002-2002-20-20-202022i−2i2i−2i2i−2i2i−2i00000000000022−2−222−2−222−2−222−2−20000000000000000i2−i2i2−i2i2−i2i2−i2000000000000
χ5822-22-2-22-222-222-2-2-2002-2002-20-20-202022i−2i2i−2i2i−2i2i−2i000000000000−2−222−2−222−2−222−2−2220000000000000000−i2i2−i2i2−i2i2−i2i2000000000000
χ5922-22-2-22-222-222-2-2-2002-2002-20-20-20202−2i2i−2i2i−2i2i−2i2i00000000000022−2−222−2−222−2−222−2−20000000000000000−i2i2−i2i2−i2i2−i2i2000000000000
χ6022-22-2-22-222-222-2-2-2002-2002-20-20-20202−2i2i−2i2i−2i2i−2i2i000000000000−2−222−2−222−2−222−2−2220000000000000000i2−i2i2−i2i2−i2i2−i2000000000000
χ6122-22-2-22-2-2-22-2-2222002-2002-202020-20-22i−2i2i−2i−2i2i−2i2i000000000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000000000000000−22−222−22−2000000000000
χ6222-22-2-22-2-2-22-2-2222002-2002-202020-20-22i−2i2i−2i−2i2i−2i2i000000000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000000000002−22−2−22−22000000000000
χ6322-22-2-22-2-2-22-2-2222002-2002-202020-20-2−2i2i−2i2i2i−2i2i−2i000000000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000000000002−22−2−22−22000000000000
χ6422-22-2-22-2-2-22-2-2222002-2002-202020-20-2−2i2i−2i2i2i−2i2i−2i000000000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000000000000000−22−222−22−2000000000000
χ6522-2-22-2-222i2i−2i−2i−2i2i−2i2i002-200-220−2i02i02i0−2i2i−2i−2i2i-222-20000000000001+i1+i−1−i−1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1−i1−i−1+i−1+i0000000000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i000000000000
χ6622-2-22-2-222i2i−2i−2i−2i2i−2i2i002-200-220−2i02i02i0−2i2i−2i−2i2i-222-2000000000000−1−i−1−i1+i1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1+i−1+i1−i1−i00000000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i000000000000
χ6722-2-22-2-222i2i−2i−2i−2i2i−2i2i002-200-220−2i02i02i0−2i−2i2i2i−2i2-2-220000000000001+i1+i−1−i−1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1−i1−i−1+i−1+i00000000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i000000000000
χ6822-2-22-2-222i2i−2i−2i−2i2i−2i2i002-200-220−2i02i02i0−2i−2i2i2i−2i2-2-22000000000000−1−i−1−i1+i1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1+i−1+i1−i1−i0000000000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i000000000000
χ6922-2-22-2-22−2i−2i2i2i2i−2i2i−2i002-200-2202i0−2i0−2i02i2i−2i−2i2i2-2-220000000000001−i1−i−1+i−1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i1+i1+i−1−i−1−i00000000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i000000000000
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χ7122-2-22-2-22−2i−2i2i2i2i−2i2i−2i002-200-2202i0−2i0−2i02i−2i2i2i−2i-222-20000000000001−i1−i−1+i−1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i1+i1+i−1−i−1−i0000000000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i000000000000
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χ812-22-22-22-22-22-222-2-22-200-2200-20-202020000000002i−2i−2i2i−2i2i2i−2i00002−22−2−22−22−22−222−22−2000000000000000000000000−i2i2i2−i2−i2i2i2−i20000
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χ832-22-22-22-22-22-222-2-22-200-2200-20-20202000000000−2i2i2i−2i2i−2i−2i2i00002−22−2−22−22−22−222−22−2000000000000000000000000i2−i2−i2i2i2−i2−i2i20000
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χ882-22-22-22-2-22-22-2-2222-200-22002020-20-2000000000−2i2i2i−2i−2i2i2i−2i0000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i20000000000000000000000002−2−22−222−20000
χ8944-44-4-44-444-444-4-4-400-4400-4404040-40-4000000000000000000000000000000000000000000000000000000000000000000000000
χ9044-44-4-44-4-4-44-4-444400-4400-440-40-40404000000000000000000000000000000000000000000000000000000000000000000000000
χ9144-4-44-4-444i4i−4i−4i−4i4i−4i4i00-44004-404i0−4i0−4i04i000000000000000000000000000000000000000000000000000000000000000000000000
χ9244-4-44-4-44−4i−4i4i4i4i−4i4i−4i00-44004-40−4i04i04i0−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ934-444-4-4-444i−4i4i4i−4i−4i−4i4i-4400-44004i0−4i0−4i04i0000000000000000000000000000000000000000000000000000000000000000000000000
χ944-444-4-4-44−4i4i−4i−4i4i4i4i−4i-4400-4400−4i04i04i0−4i0000000000000000000000000000000000000000000000000000000000000000000000000
χ954-44-44-44-44-44-444-4-4-44004-4004040-40-40000000000000000000000000000000000000000000000000000000000000000000000000
χ964-44-44-44-4-44-44-4-444-44004-400-40-404040000000000000000000000000000000000000000000000000000000000000000000000000
χ974-4-4444-4-44i−4i−4i4i−4i4i4i−4i0000000000000000000000000000000000002ζ−2ζ−2ζ2ζ2ζ−2ζ−2ζ2ζ−2ζ32ζ32ζ3−2ζ3−2ζ32ζ32ζ3−2ζ3000000000000000000000000000000000000
χ984-4-4444-4-44i−4i−4i4i−4i4i4i−4i000000000000000000000000000000000000−2ζ2ζ2ζ−2ζ−2ζ2ζ2ζ−2ζ2ζ3−2ζ3−2ζ32ζ32ζ3−2ζ3−2ζ32ζ3000000000000000000000000000000000000
χ994-4-4444-4-4−4i4i4i−4i4i−4i−4i4i0000000000000000000000000000000000002ζ3−2ζ3−2ζ32ζ32ζ3−2ζ3−2ζ32ζ3−2ζ2ζ2ζ−2ζ−2ζ2ζ2ζ−2ζ000000000000000000000000000000000000
χ1004-4-4444-4-4−4i4i4i−4i4i−4i−4i4i000000000000000000000000000000000000−2ζ32ζ32ζ3−2ζ3−2ζ32ζ32ζ3−2ζ32ζ−2ζ−2ζ2ζ2ζ−2ζ−2ζ2ζ000000000000000000000000000000000000
χ1014-4-4-4-44444-4-4-44-4440000000000000000000000000000000000002-2-22-222-2-222-22-2-22000000000000000000000000000000000000
χ1024-4-4-4-44444-4-4-44-444000000000000000000000000000000000000-222-22-2-222-2-22-222-2000000000000000000000000000000000000
χ1034-4-4-4-4444-4444-44-4-40000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000
χ1044-4-4-4-4444-4444-44-4-4000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.