Finite Group Databasebeta

← Group #10604495

Character table — Group #10604495

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1111222244444555588888888101010101616161620202020202020202020202020202020204040
order12222244451010104444241010202020202244101020202444444448888888844
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
χ91111-1-111-1111111111-1-1-111-1-111-1-111-1-1-111-1-111-1-111-1-111-1-1-11
χ101111-1-111-1111111111-1-1-111-1-111-1-111-1-1-1-1-111-1-111-1-111-1-111-11
χ111111-1-111-111111111-11-1-111-1-111-1-1-1-111-111-1-111-1-1-1-111-1-1111-1
χ121111-1-111-111111111-11-1-111-1-111-1-1-1-111-1-1-111-1-11111-1-111-1-11-1
χ131111-1-111-11111-1-1-1-11-1-1-111-1-1-1-11111-1-11ii−i−i−i−iiiii−i−i−i−iii1-1
χ141111-1-111-11111-1-1-1-11-1-1-111-1-1-1-11111-1-11−i−iiiii−i−i−i−iiiii−i−i1-1
χ151111-1-111-11111-1-1-1-1-11-1-111-1-1-1-111-1-1111ii−i−i−i−iii−i−iiiii−i−i-11
χ161111-1-111-11111-1-1-1-1-11-1-111-1-1-1-111-1-1111−i−iiiii−i−iii−i−i−i−iii-11
χ17222222-2-2-2222222220022-2-2-2-2-2-2220000-2000000000000000000
χ18222222-2-2-22222-2-2-2-20022-2-2-2-222-2-200002000000000000000000
χ192222-2-2-2-222222222200-2-2-2-222-2-2-2-200002000000000000000000
χ202222-2-2-2-222222-2-2-2-200-2-2-2-22222220000-2000000000000000000
χ2122-2-22-20002-22-22i−2i2i−2i002-20000002i−2i000001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000
χ2222-2-22-20002-22-22i−2i2i−2i002-20000002i−2i00000−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000
χ2322-2-22-20002-22-2−2i2i−2i2i002-2000000−2i2i000001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000
χ2422-2-22-20002-22-2−2i2i−2i2i002-2000000−2i2i00000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000
χ2522-2-2-220002-22-22i−2i2i−2i00-22000000−2i2i000001+i−1−i−1−i1+i1−i−1+i−1+i1−i0000000000
χ2622-2-2-220002-22-22i−2i2i−2i00-22000000−2i2i00000−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000000000
χ2722-2-2-220002-22-2−2i2i−2i2i00-220000002i−2i000001−i−1+i−1+i1−i1+i−1−i−1−i1+i0000000000
χ2822-2-2-220002-22-2−2i2i−2i2i00-220000002i−2i00000−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000000000
χ292-2-22002-202-2-2222-2-200002-2002-2000000000000000002i−2i002i−2i00
χ302-2-22002-202-2-2222-2-200002-2002-200000000000000000−2i2i00−2i2i00
χ312-2-22002-202-2-22-2-22200002-200-22000000000000000002-200-2200
χ322-2-22002-202-2-22-2-22200002-200-2200000000000000000-22002-200
χ332-2-2200-2202-2-2222-2-20000-2200-220000000000000002i−2i002i−2i0000
χ342-2-2200-2202-2-2222-2-20000-2200-22000000000000000−2i2i00−2i2i0000
χ352-2-2200-2202-2-22-2-2220000-22002-20000000000000002-200-220000
χ362-2-2200-2202-2-22-2-2220000-22002-2000000000000000-22002-20000
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
χ414444-4-444-4-1-1-1-100004-411-1-1110000-1-1110000000000000000000
χ424444-4-444-4-1-1-1-10000-4411-1-111000011-1-10000000000000000000
χ434444-4-4-4-44-1-1-1-10000001111-1-100005−5−550000000000000000000
χ444444-4-4-4-44-1-1-1-10000001111-1-10000−555−50000000000000000000
χ454-44-40000044-4-44i−4i−4i4i00000000000000000000000000000000000
χ464-44-40000044-4-4−4i4i4i−4i00000000000000000000000000000000000
χ4788-8-88-8000-22-22000000-220000000000000000000000000000000
χ4888-8-8-88000-22-220000002-20000000000000000000000000000000
χ498-88-800000-2-22200000000002i5−2i5000000000000000000000000000
χ508-88-800000-2-2220000000000−2i52i5000000000000000000000000000
χ518-8-88008-80-222-200000000-2200000000000000000000000000000
χ528-8-8800-880-222-2000000002-200000000000000000000000000000

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