Finite Group Databasebeta

← Group #10604432

Character table — Group #10604432

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1111222244444444488888888888888101010101010202020202020202020404040404040
order12224444451010102020202044202020202020202020202020444444288888888248888
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111111-1-1-1-1-1-1-1iiii−i−i−i−i-1-1ii−i−i
χ41111111111111111111111111111111-1-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−iii
χ511111111111111111-1-11111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1
χ611111111111111111-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii
χ811111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i
χ91111-1-1-1-111111-1-1-1-11-111-1-11111-1-1-1-111-1-1-1-11ii−i−iii−i−i1-1i−ii−i
χ101111-1-1-1-111111-1-1-1-11-111-1-11111-1-1-1-111-1-1-1-11−i−iii−i−iii1-1−ii−ii
χ111111-1-1-1-111111-1-1-1-11-111-1-11111-1-1-1-1-1-11111-111-1-1-1-111-111-1-11
χ121111-1-1-1-111111-1-1-1-11-111-1-11111-1-1-1-1-1-11111-1-1-11111-1-1-11-111-1
χ131111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-11ii−i−iii−i−i-11−ii−ii
χ141111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-11−i−iii−i−iii-11i−ii−i
χ151111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-1-11111-1-11111-111-1-1-1-1111-1-111-1
χ161111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-1-11111-1-11111-1-1-11111-1-11-11-1-11
χ17222222-2-2-22222-2-2-2-200-2-2220000000022-2-222-200000000000000
χ18222222-2-2-22222-2-2-2-200-2-22200000000-2-222-2-2200000000000000
χ192222-2-222-22222222200-2-2-2-2000000002222-2-2-200000000000000
χ202222-2-222-22222222200-2-2-2-200000000-2-2-2-222200000000000000
χ212-2-22002-2022-2-222-2-2000000000000002i−2i2i−2i0001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000
χ222-2-22002-2022-2-222-2-2000000000000002i−2i2i−2i000−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000
χ232-2-22002-2022-2-222-2-200000000000000−2i2i−2i2i0001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000
χ242-2-22002-2022-2-222-2-200000000000000−2i2i−2i2i000−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000
χ252-2-2200-22022-2-2-2-222000000000000002i−2i−2i2i0001−i−1+i−1+i1−i−1−i1+i1+i−1−i000000
χ262-2-2200-22022-2-2-2-222000000000000002i−2i−2i2i000−1+i1−i1−i−1+i1+i−1−i−1−i1+i000000
χ272-2-2200-22022-2-2-2-22200000000000000−2i2i2i−2i0001+i−1−i−1−i1+i−1+i1−i1−i−1+i000000
χ282-2-2200-22022-2-2-2-22200000000000000−2i2i2i−2i000−1−i1+i1+i−1−i1−i−1+i−1+i1−i000000
χ29444444444-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000
χ30444444444-1-1-1-1-1-1-1-1-4-4-1-1-1-111111111000000000000000000000
χ31444444-4-4-4-1-1-1-111110011-1-155−5−555−5−5000000000000000000000
χ32444444-4-4-4-1-1-1-111110011-1-1−5−555−5−555000000000000000000000
χ334444-4-444-4-1-1-1-1-1-1-1-100111155−5−5−5−555000000000000000000000
χ344444-4-444-4-1-1-1-1-1-1-1-1001111−5−55555−5−5000000000000000000000
χ354444-4-4-4-44-1-1-1-111114-4-1-111-1-1-1-11111000000000000000000000
χ364444-4-4-4-44-1-1-1-11111-44-1-1111111-1-1-1-1000000000000000000000
χ3744-4-4000004-44-400000000000000000000004i−4i000000000000000
χ3844-4-4000004-44-40000000000000000000000−4i4i000000000000000
χ394-44-44i−4i0004-4-44000000004i−4i00000000000000000000000000000
χ404-44-44i−4i000-111-1i5−i5i5−i5005−5−ii−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18000000000000000000000
χ414-44-44i−4i000-111-1i5−i5i5−i5005−5−iiζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18000000000000000000000
χ424-44-44i−4i000-111-1−i5i5−i5i500−55−iiζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18000000000000000000000
χ434-44-44i−4i000-111-1−i5i5−i5i500−55−ii−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18000000000000000000000
χ444-44-4−4i4i0004-4-4400000000−4i4i00000000000000000000000000000
χ454-44-4−4i4i000-111-1i5−i5i5−i500−55i−iζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18000000000000000000000
χ464-44-4−4i4i000-111-1i5−i5i5−i500−55i−i−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18000000000000000000000
χ474-44-4−4i4i000-111-1−i5i5−i5i5005−5i−i−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ2−ζ6+ζ14−ζ18−ζ2+ζ6−ζ14+ζ18ζ2+ζ6−ζ14−ζ18−ζ2−ζ6+ζ14+ζ18000000000000000000000
χ484-44-4−4i4i000-111-1−i5i5−i5i5005−5i−iζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ2+ζ6−ζ14+ζ18ζ2−ζ6+ζ14−ζ18−ζ2−ζ6+ζ14+ζ18ζ2+ζ6−ζ14−ζ18000000000000000000000
χ4988-8-800000-22-222i5−2i5−2i52i500000000000000000000000000000000000
χ5088-8-800000-22-22−2i52i52i5−2i500000000000000000000000000000000000
χ518-8-88008-80-2-222-2-22200000000000000000000000000000000000
χ528-8-8800-880-2-22222-2-200000000000000000000000000000000000

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