Finite Group Databasebeta

← Group #13015881

Character table — Group #13015881

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222444444444888888888888881010101010102020202020202020204040404040401111222244444444488888888888888101010101010202020202020202020404040404040
order12224444451010102020202088202020204040404040404040224444488888888444488222244444101010102020202088202020204040404040404040224444488888888444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ31111111111111111111111111111111-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i-1-11111111111111111111111111111111-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii-1-11111111111111111111111111111111-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii-1-1
χ511111111111111111-1-11111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-111111111111111111-1-11111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1
χ611111111111111111-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-111111111111111111-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1
χ711111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−iii1111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−iii11
χ811111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiii−i−i1111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiii−i−i11
χ9111111-1-1-11111-1-1-1-1i−i11-1-1iiii−i−i−i−i11-1-1-1-11ii−i−iii−i−i1-11-1i−i111111-1-1-11111-1-1-1-1i−i11-1-1iiii−i−i−i−i11-1-1-1-11ii−i−iii−i−i1-11-1i−i
χ10111111-1-1-11111-1-1-1-1i−i11-1-1iiii−i−i−i−i11-1-1-1-11−i−iii−i−iii-11-11i−i111111-1-1-11111-1-1-1-1i−i11-1-1iiii−i−i−i−i11-1-1-1-11−i−iii−i−iii-11-11i−i
χ11111111-1-1-11111-1-1-1-1i−i11-1-1iiii−i−i−i−i-1-11111-111-1-1-1-111−iii−i−ii111111-1-1-11111-1-1-1-1i−i11-1-1iiii−i−i−i−i-1-11111-111-1-1-1-111−iii−i−ii
χ12111111-1-1-11111-1-1-1-1i−i11-1-1iiii−i−i−i−i-1-11111-1-1-11111-1-1i−i−ii−ii111111-1-1-11111-1-1-1-1i−i11-1-1iiii−i−i−i−i-1-11111-1-1-11111-1-1i−i−ii−ii
χ13111111-1-1-11111-1-1-1-1−ii11-1-1−i−i−i−iiiii11-1-1-1-11ii−i−iii−i−i-11-11−ii111111-1-1-11111-1-1-1-1−ii11-1-1−i−i−i−iiiii11-1-1-1-11ii−i−iii−i−i-11-11−ii
χ14111111-1-1-11111-1-1-1-1−ii11-1-1−i−i−i−iiiii11-1-1-1-11−i−iii−i−iii1-11-1−ii111111-1-1-11111-1-1-1-1−ii11-1-1−i−i−i−iiiii11-1-1-1-11−i−iii−i−iii1-11-1−ii
χ15111111-1-1-11111-1-1-1-1−ii11-1-1−i−i−i−iiiii-1-11111-111-1-1-1-111i−i−iii−i111111-1-1-11111-1-1-1-1−ii11-1-1−i−i−i−iiiii-1-11111-111-1-1-1-111i−i−iii−i
χ16111111-1-1-11111-1-1-1-1−ii11-1-1−i−i−i−iiiii-1-11111-1-1-11111-1-1−iii−ii−i111111-1-1-11111-1-1-1-1−ii11-1-1−i−i−i−iiiii-1-11111-1-1-11111-1-1−iii−ii−i
χ172222-2-222-22222222200-2-2-2-2000000002222-2-2-2000000000000002222-2-222-22222222200-2-2-2-2000000002222-2-2-200000000000000
χ182222-2-222-22222222200-2-2-2-200000000-2-2-2-2222000000000000002222-2-222-22222222200-2-2-2-200000000-2-2-2-222200000000000000
χ192222-2-2-2-222222-2-2-2-200-2-2220000000022-2-222-2000000000000002222-2-2-2-222222-2-2-2-200-2-2220000000022-2-222-200000000000000
χ202222-2-2-2-222222-2-2-2-200-2-22200000000-2-222-2-22000000000000002222-2-2-2-222222-2-2-2-200-2-22200000000-2-222-2-2200000000000000
χ2122-2-2002i−2i022-2-22i2i−2i−2i000000000000002-22i−2i0001+i−1−i1−i−1+i1+i−1−i1−i−1+i00000022-2-2002i−2i022-2-22i2i−2i−2i000000000000002-22i−2i0001+i−1−i1−i−1+i1+i−1−i1−i−1+i000000
χ2222-2-2002i−2i022-2-22i2i−2i−2i000000000000002-22i−2i000−1−i1+i−1+i1−i−1−i1+i−1+i1−i00000022-2-2002i−2i022-2-22i2i−2i−2i000000000000002-22i−2i000−1−i1+i−1+i1−i−1−i1+i−1+i1−i000000
χ2322-2-2002i−2i022-2-22i2i−2i−2i00000000000000-22−2i2i0001−i−1+i−1−i1+i−1+i1−i1+i−1−i00000022-2-2002i−2i022-2-22i2i−2i−2i00000000000000-22−2i2i0001−i−1+i−1−i1+i−1+i1−i1+i−1−i000000
χ2422-2-2002i−2i022-2-22i2i−2i−2i00000000000000-22−2i2i000−1+i1−i1+i−1−i1−i−1+i−1−i1+i00000022-2-2002i−2i022-2-22i2i−2i−2i00000000000000-22−2i2i000−1+i1−i1+i−1−i1−i−1+i−1−i1+i000000
χ2522-2-200−2i2i022-2-2−2i−2i2i2i000000000000002-2−2i2i0001−i−1+i1+i−1−i1−i−1+i1+i−1−i00000022-2-200−2i2i022-2-2−2i−2i2i2i000000000000002-2−2i2i0001−i−1+i1+i−1−i1−i−1+i1+i−1−i000000
χ2622-2-200−2i2i022-2-2−2i−2i2i2i000000000000002-2−2i2i000−1+i1−i−1−i1+i−1+i1−i−1−i1+i00000022-2-200−2i2i022-2-2−2i−2i2i2i000000000000002-2−2i2i000−1+i1−i−1−i1+i−1+i1−i−1−i1+i000000
χ2722-2-200−2i2i022-2-2−2i−2i2i2i00000000000000-222i−2i0001+i−1−i−1+i1−i−1−i1+i1−i−1+i00000022-2-200−2i2i022-2-2−2i−2i2i2i00000000000000-222i−2i0001+i−1−i−1+i1−i−1−i1+i1−i−1+i000000
χ2822-2-200−2i2i022-2-2−2i−2i2i2i00000000000000-222i−2i000−1−i1+i1−i−1+i1+i−1−i−1+i1−i00000022-2-200−2i2i022-2-2−2i−2i2i2i00000000000000-222i−2i000−1−i1+i1−i−1+i1+i−1−i−1+i1−i000000
χ29444444444-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000444444444-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000
χ30444444444-1-1-1-1-1-1-1-1-4-4-1-1-1-111111111000000000000000000000444444444-1-1-1-1-1-1-1-1-4-4-1-1-1-111111111000000000000000000000
χ31444444-4-4-4-1-1-1-111114i−4i-1-111−i−i−i−iiiii000000000000000000000444444-4-4-4-1-1-1-111114i−4i-1-111−i−i−i−iiiii000000000000000000000
χ32444444-4-4-4-1-1-1-11111−4i4i-1-111iiii−i−i−i−i000000000000000000000444444-4-4-4-1-1-1-11111−4i4i-1-111iiii−i−i−i−i000000000000000000000
χ334444-4-444-4-1-1-1-1-1-1-1-100111155−5−555−5−50000000000000000000004444-4-444-4-1-1-1-1-1-1-1-100111155−5−555−5−5000000000000000000000
χ344444-4-444-4-1-1-1-1-1-1-1-1001111−5−555−5−5550000000000000000000004444-4-444-4-1-1-1-1-1-1-1-1001111−5−555−5−555000000000000000000000
χ354444-4-4-4-44-1-1-1-111110011-1-1i5i5−i5−i5−i5−i5i5i50000000000000000000004444-4-4-4-44-1-1-1-111110011-1-1i5i5−i5−i5−i5−i5i5i5000000000000000000000
χ364444-4-4-4-44-1-1-1-111110011-1-1−i5−i5i5i5i5i5−i5−i50000000000000000000004444-4-4-4-44-1-1-1-111110011-1-1−i5−i5i5i5i5i5−i5−i5000000000000000000000
χ374-44-4000004-44-400000000000000000000004i−4i0000000000000004-44-4000004-44-400000000000000000000004i−4i000000000000000
χ384-44-4000004-44-40000000000000000000000−4i4i0000000000000004-44-4000004-44-40000000000000000000000−4i4i000000000000000
χ394-4-444i−4i0004-4-440000004i−4i00000000000000000000000000000004-4-444i−4i0004-4-440000004i−4i0000000000000000000000000000000
χ404-4-444i−4i000-111-15−55−500−iii5−i5ζ3+ζ6−ζ7−ζ14−ζ3−ζ6+ζ7+ζ14−ζ2−ζ11+ζ18+ζ19ζ2+ζ11−ζ18−ζ19ζ3−ζ6−ζ7+ζ14−ζ3+ζ6+ζ7−ζ14−ζ2+ζ11+ζ18−ζ19ζ2−ζ11−ζ18+ζ190000000000000000000004-4-444i−4i000-111-15−55−500−iii5−i5ζ3+ζ6−ζ7−ζ14−ζ3−ζ6+ζ7+ζ14−ζ2−ζ11+ζ18+ζ19ζ2+ζ11−ζ18−ζ19ζ3−ζ6−ζ7+ζ14−ζ3+ζ6+ζ7−ζ14−ζ2+ζ11+ζ18−ζ19ζ2−ζ11−ζ18+ζ19000000000000000000000
χ414-4-444i−4i000-111-15−55−500−iii5−i5−ζ3−ζ6+ζ7+ζ14ζ3+ζ6−ζ7−ζ14ζ2+ζ11−ζ18−ζ19−ζ2−ζ11+ζ18+ζ19−ζ3+ζ6+ζ7−ζ14ζ3−ζ6−ζ7+ζ14ζ2−ζ11−ζ18+ζ19−ζ2+ζ11+ζ18−ζ190000000000000000000004-4-444i−4i000-111-15−55−500−iii5−i5−ζ3−ζ6+ζ7+ζ14ζ3+ζ6−ζ7−ζ14ζ2+ζ11−ζ18−ζ19−ζ2−ζ11+ζ18+ζ19−ζ3+ζ6+ζ7−ζ14ζ3−ζ6−ζ7+ζ14ζ2−ζ11−ζ18+ζ19−ζ2+ζ11+ζ18−ζ19000000000000000000000
χ424-4-444i−4i000-111-1−55−5500−ii−i5i5−ζ2−ζ11+ζ18+ζ19ζ2+ζ11−ζ18−ζ19−ζ3−ζ6+ζ7+ζ14ζ3+ζ6−ζ7−ζ14ζ2−ζ11−ζ18+ζ19−ζ2+ζ11+ζ18−ζ19ζ3−ζ6−ζ7+ζ14−ζ3+ζ6+ζ7−ζ140000000000000000000004-4-444i−4i000-111-1−55−5500−ii−i5i5−ζ2−ζ11+ζ18+ζ19ζ2+ζ11−ζ18−ζ19−ζ3−ζ6+ζ7+ζ14ζ3+ζ6−ζ7−ζ14ζ2−ζ11−ζ18+ζ19−ζ2+ζ11+ζ18−ζ19ζ3−ζ6−ζ7+ζ14−ζ3+ζ6+ζ7−ζ14000000000000000000000
χ434-4-444i−4i000-111-1−55−5500−ii−i5i5ζ2+ζ11−ζ18−ζ19−ζ2−ζ11+ζ18+ζ19ζ3+ζ6−ζ7−ζ14−ζ3−ζ6+ζ7+ζ14−ζ2+ζ11+ζ18−ζ19ζ2−ζ11−ζ18+ζ19−ζ3+ζ6+ζ7−ζ14ζ3−ζ6−ζ7+ζ140000000000000000000004-4-444i−4i000-111-1−55−5500−ii−i5i5ζ2+ζ11−ζ18−ζ19−ζ2−ζ11+ζ18+ζ19ζ3+ζ6−ζ7−ζ14−ζ3−ζ6+ζ7+ζ14−ζ2+ζ11+ζ18−ζ19ζ2−ζ11−ζ18+ζ19−ζ3+ζ6+ζ7−ζ14ζ3−ζ6−ζ7+ζ14000000000000000000000
χ444-4-44−4i4i0004-4-44000000−4i4i00000000000000000000000000000004-4-44−4i4i0004-4-44000000−4i4i0000000000000000000000000000000
χ454-4-44−4i4i000-111-15−55−500i−i−i5i5ζ3−ζ6−ζ7+ζ14−ζ3+ζ6+ζ7−ζ14ζ2−ζ11−ζ18+ζ19−ζ2+ζ11+ζ18−ζ19ζ3+ζ6−ζ7−ζ14−ζ3−ζ6+ζ7+ζ14ζ2+ζ11−ζ18−ζ19−ζ2−ζ11+ζ18+ζ190000000000000000000004-4-44−4i4i000-111-15−55−500i−i−i5i5ζ3−ζ6−ζ7+ζ14−ζ3+ζ6+ζ7−ζ14ζ2−ζ11−ζ18+ζ19−ζ2+ζ11+ζ18−ζ19ζ3+ζ6−ζ7−ζ14−ζ3−ζ6+ζ7+ζ14ζ2+ζ11−ζ18−ζ19−ζ2−ζ11+ζ18+ζ19000000000000000000000
χ464-4-44−4i4i000-111-15−55−500i−i−i5i5−ζ3+ζ6+ζ7−ζ14ζ3−ζ6−ζ7+ζ14−ζ2+ζ11+ζ18−ζ19ζ2−ζ11−ζ18+ζ19−ζ3−ζ6+ζ7+ζ14ζ3+ζ6−ζ7−ζ14−ζ2−ζ11+ζ18+ζ19ζ2+ζ11−ζ18−ζ190000000000000000000004-4-44−4i4i000-111-15−55−500i−i−i5i5−ζ3+ζ6+ζ7−ζ14ζ3−ζ6−ζ7+ζ14−ζ2+ζ11+ζ18−ζ19ζ2−ζ11−ζ18+ζ19−ζ3−ζ6+ζ7+ζ14ζ3+ζ6−ζ7−ζ14−ζ2−ζ11+ζ18+ζ19ζ2+ζ11−ζ18−ζ19000000000000000000000
χ474-4-44−4i4i000-111-1−55−5500i−ii5−i5−ζ2+ζ11+ζ18−ζ19ζ2−ζ11−ζ18+ζ19ζ3−ζ6−ζ7+ζ14−ζ3+ζ6+ζ7−ζ14ζ2+ζ11−ζ18−ζ19−ζ2−ζ11+ζ18+ζ19−ζ3−ζ6+ζ7+ζ14ζ3+ζ6−ζ7−ζ140000000000000000000004-4-44−4i4i000-111-1−55−5500i−ii5−i5−ζ2+ζ11+ζ18−ζ19ζ2−ζ11−ζ18+ζ19ζ3−ζ6−ζ7+ζ14−ζ3+ζ6+ζ7−ζ14ζ2+ζ11−ζ18−ζ19−ζ2−ζ11+ζ18+ζ19−ζ3−ζ6+ζ7+ζ14ζ3+ζ6−ζ7−ζ14000000000000000000000
χ484-4-44−4i4i000-111-1−55−5500i−ii5−i5ζ2−ζ11−ζ18+ζ19−ζ2+ζ11+ζ18−ζ19−ζ3+ζ6+ζ7−ζ14ζ3−ζ6−ζ7+ζ14−ζ2−ζ11+ζ18+ζ19ζ2+ζ11−ζ18−ζ19ζ3+ζ6−ζ7−ζ14−ζ3−ζ6+ζ7+ζ140000000000000000000004-4-44−4i4i000-111-1−55−5500i−ii5−i5ζ2−ζ11−ζ18+ζ19−ζ2+ζ11+ζ18−ζ19−ζ3+ζ6+ζ7−ζ14ζ3−ζ6−ζ7+ζ14−ζ2−ζ11+ζ18+ζ19ζ2+ζ11−ζ18−ζ19ζ3+ζ6−ζ7−ζ14−ζ3−ζ6+ζ7+ζ14000000000000000000000
χ4988-8-8008i−8i0-2-222−2i−2i2i2i0000000000000000000000000000000000088-8-8008i−8i0-2-222−2i−2i2i2i00000000000000000000000000000000000
χ5088-8-800−8i8i0-2-2222i2i−2i−2i0000000000000000000000000000000000088-8-800−8i8i0-2-2222i2i−2i−2i00000000000000000000000000000000000
χ518-88-800000-22-222i5−2i5−2i52i5000000000000000000000000000000000008-88-800000-22-222i5−2i5−2i52i500000000000000000000000000000000000
χ528-88-800000-22-22−2i52i52i5−2i5000000000000000000000000000000000008-88-800000-22-22−2i52i52i5−2i500000000000000000000000000000000000
χ531111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ551111111111111111111111111111111-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111−i−i−i−iiiii−i−iii11
χ561111111111111111111111111111111-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111iiii−i−i−i−iii−i−i11
χ5711111111111111111-1-11111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5811111111111111111-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-111111111-1-1-1-111
χ5911111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−iii11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111111−i−i−i−iiiiiii−i−i-1-1
χ6011111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiii−i−i11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111111iiii−i−i−i−i−i−iii-1-1
χ61111111-1-1-11111-1-1-1-1i−i11-1-1iiii−i−i−i−i11-1-1-1-11ii−i−iii−i−i1-11-1i−i-1-1-1-1-1-1111-1-1-1-11111−ii-1-111−i−i−i−iiiii-1-11111-1−i−iii−i−iii-11-11−ii
χ62111111-1-1-11111-1-1-1-1i−i11-1-1iiii−i−i−i−i11-1-1-1-11−i−iii−i−iii-11-11i−i-1-1-1-1-1-1111-1-1-1-11111−ii-1-111−i−i−i−iiiii-1-11111-1ii−i−iii−i−i1-11-1−ii
χ63111111-1-1-11111-1-1-1-1i−i11-1-1iiii−i−i−i−i-1-11111-111-1-1-1-111−iii−i−ii-1-1-1-1-1-1111-1-1-1-11111−ii-1-111−i−i−i−iiiii11-1-1-1-11-1-11111-1-1i−i−iii−i
χ64111111-1-1-11111-1-1-1-1i−i11-1-1iiii−i−i−i−i-1-11111-1-1-11111-1-1i−i−ii−ii-1-1-1-1-1-1111-1-1-1-11111−ii-1-111−i−i−i−iiiii11-1-1-1-1111-1-1-1-111−iii−ii−i
χ65111111-1-1-11111-1-1-1-1−ii11-1-1−i−i−i−iiiii11-1-1-1-11ii−i−iii−i−i-11-11−ii-1-1-1-1-1-1111-1-1-1-11111i−i-1-111iiii−i−i−i−i-1-11111-1−i−iii−i−iii1-11-1i−i
χ66111111-1-1-11111-1-1-1-1−ii11-1-1−i−i−i−iiiii11-1-1-1-11−i−iii−i−iii1-11-1−ii-1-1-1-1-1-1111-1-1-1-11111i−i-1-111iiii−i−i−i−i-1-11111-1ii−i−iii−i−i-11-11i−i
χ67111111-1-1-11111-1-1-1-1−ii11-1-1−i−i−i−iiiii-1-11111-111-1-1-1-111i−i−iii−i-1-1-1-1-1-1111-1-1-1-11111i−i-1-111iiii−i−i−i−i11-1-1-1-11-1-11111-1-1−iii−i−ii
χ68111111-1-1-11111-1-1-1-1−ii11-1-1−i−i−i−iiiii-1-11111-1-1-11111-1-1−iii−ii−i-1-1-1-1-1-1111-1-1-1-11111i−i-1-111iiii−i−i−i−i11-1-1-1-1111-1-1-1-111i−i−ii−ii
χ692222-2-222-22222222200-2-2-2-2000000002222-2-2-200000000000000-2-2-2-222-2-22-2-2-2-2-2-2-2-200222200000000-2-2-2-222200000000000000
χ702222-2-222-22222222200-2-2-2-200000000-2-2-2-222200000000000000-2-2-2-222-2-22-2-2-2-2-2-2-2-2002222000000002222-2-2-200000000000000
χ712222-2-2-2-222222-2-2-2-200-2-2220000000022-2-222-200000000000000-2-2-2-22222-2-2-2-2-222220022-2-200000000-2-222-2-2200000000000000
χ722222-2-2-2-222222-2-2-2-200-2-22200000000-2-222-2-2200000000000000-2-2-2-22222-2-2-2-2-222220022-2-20000000022-2-222-200000000000000
χ7322-2-2002i−2i022-2-22i2i−2i−2i000000000000002-22i−2i0001+i−1−i1−i−1+i1+i−1−i1−i−1+i000000-2-22200−2i2i0-2-222−2i−2i2i2i00000000000000-22−2i2i000−1−i1+i−1+i1−i−1−i1+i−1+i1−i000000
χ7422-2-2002i−2i022-2-22i2i−2i−2i000000000000002-22i−2i000−1−i1+i−1+i1−i−1−i1+i−1+i1−i000000-2-22200−2i2i0-2-222−2i−2i2i2i00000000000000-22−2i2i0001+i−1−i1−i−1+i1+i−1−i1−i−1+i000000
χ7522-2-2002i−2i022-2-22i2i−2i−2i00000000000000-22−2i2i0001−i−1+i−1−i1+i−1+i1−i1+i−1−i000000-2-22200−2i2i0-2-222−2i−2i2i2i000000000000002-22i−2i000−1+i1−i1+i−1−i1−i−1+i−1−i1+i000000
χ7622-2-2002i−2i022-2-22i2i−2i−2i00000000000000-22−2i2i000−1+i1−i1+i−1−i1−i−1+i−1−i1+i000000-2-22200−2i2i0-2-222−2i−2i2i2i000000000000002-22i−2i0001−i−1+i−1−i1+i−1+i1−i1+i−1−i000000
χ7722-2-200−2i2i022-2-2−2i−2i2i2i000000000000002-2−2i2i0001−i−1+i1+i−1−i1−i−1+i1+i−1−i000000-2-222002i−2i0-2-2222i2i−2i−2i00000000000000-222i−2i000−1+i1−i−1−i1+i−1+i1−i−1−i1+i000000
χ7822-2-200−2i2i022-2-2−2i−2i2i2i000000000000002-2−2i2i000−1+i1−i−1−i1+i−1+i1−i−1−i1+i000000-2-222002i−2i0-2-2222i2i−2i−2i00000000000000-222i−2i0001−i−1+i1+i−1−i1−i−1+i1+i−1−i000000
χ7922-2-200−2i2i022-2-2−2i−2i2i2i00000000000000-222i−2i0001+i−1−i−1+i1−i−1−i1+i1−i−1+i000000-2-222002i−2i0-2-2222i2i−2i−2i000000000000002-2−2i2i000−1−i1+i1−i−1+i1+i−1−i−1+i1−i000000
χ8022-2-200−2i2i022-2-2−2i−2i2i2i00000000000000-222i−2i000−1−i1+i1−i−1+i1+i−1−i−1+i1−i000000-2-222002i−2i0-2-2222i2i−2i−2i000000000000002-2−2i2i0001+i−1−i−1+i1−i−1−i1+i1−i−1+i000000
χ81444444444-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000-4-4-4-4-4-4-4-4-411111111-4-4111111111111000000000000000000000
χ82444444444-1-1-1-1-1-1-1-1-4-4-1-1-1-111111111000000000000000000000-4-4-4-4-4-4-4-4-411111111441111-1-1-1-1-1-1-1-1000000000000000000000
χ83444444-4-4-4-1-1-1-111114i−4i-1-111−i−i−i−iiiii000000000000000000000-4-4-4-4-4-44441111-1-1-1-1−4i4i11-1-1iiii−i−i−i−i000000000000000000000
χ84444444-4-4-4-1-1-1-11111−4i4i-1-111iiii−i−i−i−i000000000000000000000-4-4-4-4-4-44441111-1-1-1-14i−4i11-1-1−i−i−i−iiiii000000000000000000000
χ854444-4-444-4-1-1-1-1-1-1-1-100111155−5−555−5−5000000000000000000000-4-4-4-444-4-441111111100-1-1-1-1−5−555−5−555000000000000000000000
χ864444-4-444-4-1-1-1-1-1-1-1-1001111−5−555−5−555000000000000000000000-4-4-4-444-4-441111111100-1-1-1-155−5−555−5−5000000000000000000000
χ874444-4-4-4-44-1-1-1-111110011-1-1i5i5−i5−i5−i5−i5i5i5000000000000000000000-4-4-4-44444-41111-1-1-1-100-1-111−i5−i5i5i5i5i5−i5−i5000000000000000000000
χ884444-4-4-4-44-1-1-1-111110011-1-1−i5−i5i5i5i5i5−i5−i5000000000000000000000-4-4-4-44444-41111-1-1-1-100-1-111i5i5−i5−i5−i5−i5i5i5000000000000000000000
χ894-44-4000004-44-400000000000000000000004i−4i000000000000000-44-4400000-44-440000000000000000000000−4i4i000000000000000
χ904-44-4000004-44-40000000000000000000000−4i4i000000000000000-44-4400000-44-4400000000000000000000004i−4i000000000000000
χ914-4-444i−4i0004-4-440000004i−4i0000000000000000000000000000000-444-4−4i4i000-444-4000000−4i4i0000000000000000000000000000000
χ924-4-444i−4i000-111-15−55−500−iii5−i5ζ3+ζ6−ζ7−ζ14−ζ3−ζ6+ζ7+ζ14−ζ2−ζ11+ζ18+ζ19ζ2+ζ11−ζ18−ζ19ζ3−ζ6−ζ7+ζ14−ζ3+ζ6+ζ7−ζ14−ζ2+ζ11+ζ18−ζ19ζ2−ζ11−ζ18+ζ19000000000000000000000-444-4−4i4i0001-1-11−55−5500i−i−i5i5−ζ3−ζ6+ζ7+ζ14ζ3+ζ6−ζ7−ζ14ζ2+ζ11−ζ18−ζ19−ζ2−ζ11+ζ18+ζ19−ζ3+ζ6+ζ7−ζ14ζ3−ζ6−ζ7+ζ14ζ2−ζ11−ζ18+ζ19−ζ2+ζ11+ζ18−ζ19000000000000000000000
χ934-4-444i−4i000-111-15−55−500−iii5−i5−ζ3−ζ6+ζ7+ζ14ζ3+ζ6−ζ7−ζ14ζ2+ζ11−ζ18−ζ19−ζ2−ζ11+ζ18+ζ19−ζ3+ζ6+ζ7−ζ14ζ3−ζ6−ζ7+ζ14ζ2−ζ11−ζ18+ζ19−ζ2+ζ11+ζ18−ζ19000000000000000000000-444-4−4i4i0001-1-11−55−5500i−i−i5i5ζ3+ζ6−ζ7−ζ14−ζ3−ζ6+ζ7+ζ14−ζ2−ζ11+ζ18+ζ19ζ2+ζ11−ζ18−ζ19ζ3−ζ6−ζ7+ζ14−ζ3+ζ6+ζ7−ζ14−ζ2+ζ11+ζ18−ζ19ζ2−ζ11−ζ18+ζ19000000000000000000000
χ944-4-444i−4i000-111-1−55−5500−ii−i5i5−ζ2−ζ11+ζ18+ζ19ζ2+ζ11−ζ18−ζ19−ζ3−ζ6+ζ7+ζ14ζ3+ζ6−ζ7−ζ14ζ2−ζ11−ζ18+ζ19−ζ2+ζ11+ζ18−ζ19ζ3−ζ6−ζ7+ζ14−ζ3+ζ6+ζ7−ζ14000000000000000000000-444-4−4i4i0001-1-115−55−500i−ii5−i5ζ2+ζ11−ζ18−ζ19−ζ2−ζ11+ζ18+ζ19ζ3+ζ6−ζ7−ζ14−ζ3−ζ6+ζ7+ζ14−ζ2+ζ11+ζ18−ζ19ζ2−ζ11−ζ18+ζ19−ζ3+ζ6+ζ7−ζ14ζ3−ζ6−ζ7+ζ14000000000000000000000
χ954-4-444i−4i000-111-1−55−5500−ii−i5i5ζ2+ζ11−ζ18−ζ19−ζ2−ζ11+ζ18+ζ19ζ3+ζ6−ζ7−ζ14−ζ3−ζ6+ζ7+ζ14−ζ2+ζ11+ζ18−ζ19ζ2−ζ11−ζ18+ζ19−ζ3+ζ6+ζ7−ζ14ζ3−ζ6−ζ7+ζ14000000000000000000000-444-4−4i4i0001-1-115−55−500i−ii5−i5−ζ2−ζ11+ζ18+ζ19ζ2+ζ11−ζ18−ζ19−ζ3−ζ6+ζ7+ζ14ζ3+ζ6−ζ7−ζ14ζ2−ζ11−ζ18+ζ19−ζ2+ζ11+ζ18−ζ19ζ3−ζ6−ζ7+ζ14−ζ3+ζ6+ζ7−ζ14000000000000000000000
χ964-4-44−4i4i0004-4-44000000−4i4i0000000000000000000000000000000-444-44i−4i000-444-40000004i−4i0000000000000000000000000000000
χ974-4-44−4i4i000-111-15−55−500i−i−i5i5ζ3−ζ6−ζ7+ζ14−ζ3+ζ6+ζ7−ζ14ζ2−ζ11−ζ18+ζ19−ζ2+ζ11+ζ18−ζ19ζ3+ζ6−ζ7−ζ14−ζ3−ζ6+ζ7+ζ14ζ2+ζ11−ζ18−ζ19−ζ2−ζ11+ζ18+ζ19000000000000000000000-444-44i−4i0001-1-11−55−5500−iii5−i5−ζ3+ζ6+ζ7−ζ14ζ3−ζ6−ζ7+ζ14−ζ2+ζ11+ζ18−ζ19ζ2−ζ11−ζ18+ζ19−ζ3−ζ6+ζ7+ζ14ζ3+ζ6−ζ7−ζ14−ζ2−ζ11+ζ18+ζ19ζ2+ζ11−ζ18−ζ19000000000000000000000
χ984-4-44−4i4i000-111-15−55−500i−i−i5i5−ζ3+ζ6+ζ7−ζ14ζ3−ζ6−ζ7+ζ14−ζ2+ζ11+ζ18−ζ19ζ2−ζ11−ζ18+ζ19−ζ3−ζ6+ζ7+ζ14ζ3+ζ6−ζ7−ζ14−ζ2−ζ11+ζ18+ζ19ζ2+ζ11−ζ18−ζ19000000000000000000000-444-44i−4i0001-1-11−55−5500−iii5−i5ζ3−ζ6−ζ7+ζ14−ζ3+ζ6+ζ7−ζ14ζ2−ζ11−ζ18+ζ19−ζ2+ζ11+ζ18−ζ19ζ3+ζ6−ζ7−ζ14−ζ3−ζ6+ζ7+ζ14ζ2+ζ11−ζ18−ζ19−ζ2−ζ11+ζ18+ζ19000000000000000000000
χ994-4-44−4i4i000-111-1−55−5500i−ii5−i5−ζ2+ζ11+ζ18−ζ19ζ2−ζ11−ζ18+ζ19ζ3−ζ6−ζ7+ζ14−ζ3+ζ6+ζ7−ζ14ζ2+ζ11−ζ18−ζ19−ζ2−ζ11+ζ18+ζ19−ζ3−ζ6+ζ7+ζ14ζ3+ζ6−ζ7−ζ14000000000000000000000-444-44i−4i0001-1-115−55−500−ii−i5i5ζ2−ζ11−ζ18+ζ19−ζ2+ζ11+ζ18−ζ19−ζ3+ζ6+ζ7−ζ14ζ3−ζ6−ζ7+ζ14−ζ2−ζ11+ζ18+ζ19ζ2+ζ11−ζ18−ζ19ζ3+ζ6−ζ7−ζ14−ζ3−ζ6+ζ7+ζ14000000000000000000000
χ1004-4-44−4i4i000-111-1−55−5500i−ii5−i5ζ2−ζ11−ζ18+ζ19−ζ2+ζ11+ζ18−ζ19−ζ3+ζ6+ζ7−ζ14ζ3−ζ6−ζ7+ζ14−ζ2−ζ11+ζ18+ζ19ζ2+ζ11−ζ18−ζ19ζ3+ζ6−ζ7−ζ14−ζ3−ζ6+ζ7+ζ14000000000000000000000-444-44i−4i0001-1-115−55−500−ii−i5i5−ζ2+ζ11+ζ18−ζ19ζ2−ζ11−ζ18+ζ19ζ3−ζ6−ζ7+ζ14−ζ3+ζ6+ζ7−ζ14ζ2+ζ11−ζ18−ζ19−ζ2−ζ11+ζ18+ζ19−ζ3−ζ6+ζ7+ζ14ζ3+ζ6−ζ7−ζ14000000000000000000000
χ10188-8-8008i−8i0-2-222−2i−2i2i2i00000000000000000000000000000000000-8-88800−8i8i022-2-22i2i−2i−2i00000000000000000000000000000000000
χ10288-8-800−8i8i0-2-2222i2i−2i−2i00000000000000000000000000000000000-8-888008i−8i022-2-2−2i−2i2i2i00000000000000000000000000000000000
χ1038-88-800000-22-222i5−2i5−2i52i500000000000000000000000000000000000-88-88000002-22-2−2i52i52i5−2i500000000000000000000000000000000000
χ1048-88-800000-22-22−2i52i52i5−2i500000000000000000000000000000000000-88-88000002-22-22i5−2i5−2i52i500000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.