Finite Group Databasebeta

← Group #10604537

Character table — Group #10604537

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1111222244444555588888888101010101616161620202020202020202020202020202020204040
order12224444451010104444242020202020202244101020204444444448888888844
χ11111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ311111111111111111-1-11111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111-1-11111111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111-1-1-1-111111111-1-1-1-11111-1iiii−i−i−i−iiiii−i−i−i−i-1-1
χ61111111111111-1-1-1-111111111-1-1-1-11111-1−i−i−i−iiiii−i−i−i−iiiii-1-1
χ71111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11
χ81111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11
χ91111-1-1-1-11111111111-1-1-1-1-111-1-1-1-111-1-11ii−i−iii−i−iii−i−iii−i−i1-1
χ101111-1-1-1-11111111111-1-1-1-1-111-1-1-1-111-1-11−i−iii−i−iii−i−iii−i−iii1-1
χ111111-1-1-1-1111111111-11-1-1-1-111-1-1-1-1-1-1111ii−i−iii−i−i−i−iii−i−iii-11
χ121111-1-1-1-1111111111-11-1-1-1-111-1-1-1-1-1-1111−i−iii−i−iiiii−i−iii−i−i-11
χ131111-1-1-1-111111-1-1-1-11-1-1-1-1-111111111-1-1-111-1-1-1-11111-1-1-1-111-11
χ141111-1-1-1-111111-1-1-1-11-1-1-1-1-111111111-1-1-1-1-11111-1-1-1-11111-1-1-11
χ151111-1-1-1-111111-1-1-1-1-11-1-1-1-1111111-1-111-111-1-1-1-111-1-11111-1-11-1
χ161111-1-1-1-111111-1-1-1-1-11-1-1-1-1111111-1-111-1-1-11111-1-111-1-1-1-1111-1
χ17222222-2-2-2222222220022-2-2-2-222-2-20000-2000000000000000000
χ18222222-2-2-22222-2-2-2-20022-2-2-2-2-2-22200002000000000000000000
χ192222-2-222-22222222200-2-222-2-2-2-2220000-2000000000000000000
χ202222-2-222-22222-2-2-2-200-2-222-2-222-2-200002000000000000000000
χ212-22-2002i−2i022-2-222-2-200002i−2i00002i−2i000001+i−1−i1−i−1+i1+i−1−i1−i−1+i0000000000
χ222-22-2002i−2i022-2-222-2-200002i−2i00002i−2i00000−1−i1+i−1+i1−i−1−i1+i−1+i1−i0000000000
χ232-22-2002i−2i022-2-2-2-22200002i−2i0000−2i2i000001−i−1+i−1−i1+i−1+i1−i1+i−1−i0000000000
χ242-22-2002i−2i022-2-2-2-22200002i−2i0000−2i2i00000−1+i1−i1+i−1−i1−i−1+i−1−i1+i0000000000
χ252-22-200−2i2i022-2-222-2-20000−2i2i0000−2i2i000001−i−1+i1+i−1−i1−i−1+i1+i−1−i0000000000
χ262-22-200−2i2i022-2-222-2-20000−2i2i0000−2i2i00000−1+i1−i−1−i1+i−1+i1−i−1−i1+i0000000000
χ272-22-200−2i2i022-2-2-2-2220000−2i2i00002i−2i000001+i−1−i−1+i1−i−1−i1+i1−i−1+i0000000000
χ282-22-200−2i2i022-2-2-2-2220000−2i2i00002i−2i00000−1−i1+i1−i−1+i1+i−1−i−1+i1−i0000000000
χ292-2-222i−2i0002-22-22i−2i2i−2i002i−2i00002-20000000000000002−2i2−i2i2−i22−200
χ302-2-222i−2i0002-22-22i−2i2i−2i002i−2i00002-2000000000000000−22−i2i2−i2i2−2200
χ312-2-222i−2i0002-22-2−2i2i−2i2i002i−2i0000-22000000000000000i2−i2−222−2−i2i200
χ322-2-222i−2i0002-22-2−2i2i−2i2i002i−2i0000-22000000000000000−i2i22−2−22i2−i200
χ332-2-22−2i2i0002-22-22i−2i2i−2i00−2i2i0000-22000000000000000i2−i22−2−22−i2i200
χ342-2-22−2i2i0002-22-22i−2i2i−2i00−2i2i0000-22000000000000000−i2i2−222−2i2−i200
χ352-2-22−2i2i0002-22-2−2i2i−2i2i00−2i2i00002-20000000000000002−2−i2i2−i2i22−200
χ362-2-22−2i2i0002-22-2−2i2i−2i2i00−2i2i00002-2000000000000000−22i2−i2i2−i2−2200
χ37444444444-1-1-1-1000044-1-1-1-1-1-10000-1-1-1-10000000000000000000
χ38444444444-1-1-1-10000-4-4-1-1-1-1-1-1000011110000000000000000000
χ39444444-4-4-4-1-1-1-1000000-1-1111100005−55−50000000000000000000
χ40444444-4-4-4-1-1-1-1000000-1-111110000−55−550000000000000000000
χ414444-4-444-4-1-1-1-100000011-1-11100005−5−550000000000000000000
χ424444-4-444-4-1-1-1-100000011-1-1110000−555−50000000000000000000
χ434444-4-4-4-44-1-1-1-100004-41111-1-10000-1-1110000000000000000000
χ444444-4-4-4-44-1-1-1-10000-441111-1-1000011-1-10000000000000000000
χ4544-4-4000004-4-444i−4i−4i4i00000000000000000000000000000000000
χ4644-4-4000004-4-44−4i4i4i−4i00000000000000000000000000000000000
χ4788-8-800000-222-2000000000025−25000000000000000000000000000
χ4888-8-800000-222-20000000000−2525000000000000000000000000000
χ498-88-8008i−8i0-2-22200000000−2i2i00000000000000000000000000000
χ508-88-800−8i8i0-2-222000000002i−2i00000000000000000000000000000
χ518-8-888i−8i000-22-22000000−2i2i0000000000000000000000000000000
χ528-8-88−8i8i000-22-220000002i−2i0000000000000000000000000000000

Here i is the imaginary unit (i² = −1).