Finite Group Databasebeta

← Group #10604589

Character table — Group #10604589

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1111222244444555588888888101010101616161620202020202020202020202020202020204040
order12224444451010102222442020202020204444202020204444444448888888844
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
χ9111111-1-1-1111111111-111-1-1-1-11-1-1111-1-1-111-1-111-1-111-1-111-1-11-1
χ10111111-1-1-1111111111-111-1-1-1-11-1-1111-1-1-1-1-111-1-111-1-111-1-1111-1
χ11111111-1-1-111111111-1111-1-1-1-11-1-11-1-111-111-1-111-1-1-1-111-1-111-11
χ12111111-1-1-111111111-1111-1-1-1-11-1-11-1-111-1-1-111-1-11111-1-111-1-1-11
χ13111111-1-1-11111-1-1-1-11-111-1-1-1-1-111-111-1-11ii−i−i−i−iiiii−i−i−i−iii-11
χ14111111-1-1-11111-1-1-1-11-111-1-1-1-1-111-111-1-11−i−iiiii−i−i−i−iiiii−i−i-11
χ15111111-1-1-11111-1-1-1-1-1111-1-1-1-1-111-1-1-1111ii−i−i−i−iii−i−iiiii−i−i1-1
χ16111111-1-1-11111-1-1-1-1-1111-1-1-1-1-111-1-1-1111−i−iiiii−i−iii−i−i−i−iii1-1
χ172222-2-222-22222222200-2-222-2-2-222-20000-2000000000000000000
χ182222-2-222-22222-2-2-2-200-2-222-2-22-2-2200002000000000000000000
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
χ2122-2-22-200022-2-22-22-2002-20000200-200000002-2002-20000000000
χ2222-2-22-200022-2-22-22-2002-20000200-20000000-2200-220000000000
χ2322-2-22-200022-2-2-22-22002-20000-200200000002i−2i00−2i2i0000000000
χ2422-2-22-200022-2-2-22-22002-20000-20020000000−2i2i002i−2i0000000000
χ2522-2-2-2200022-2-22-22-200-220000-2002000002i−2i002i−2i000000000000
χ2622-2-2-2200022-2-22-22-200-220000-200200000−2i2i00−2i2i000000000000
χ2722-2-2-2200022-2-2-22-2200-220000200-2000002-200-22000000000000
χ2822-2-2-2200022-2-2-22-2200-220000200-200000-22002-2000000000000
χ292-22-2002i−2i02-22-22-2-2200002i−2i0002i−2i000000000000002−2i2−i22−2i2−i200
χ302-22-2002i−2i02-22-22-2-2200002i−2i0002i−2i00000000000000−22−i2i2−22−i2i200
χ312-22-2002i−2i02-22-2-222-200002i−2i000−2i2i00000000000000i2−i2−22−i2i22−200
χ322-22-2002i−2i02-22-2-222-200002i−2i000−2i2i00000000000000−i2i22−2i2−i2−2200
χ332-22-200−2i2i02-22-22-2-220000−2i2i000−2i2i000000000000002−2−i2i22−2−i2i200
χ342-22-200−2i2i02-22-22-2-220000−2i2i000−2i2i00000000000000−22i2−i2−22i2−i200
χ352-22-200−2i2i02-22-2-222-20000−2i2i0002i−2i00000000000000i2−i22−2−i2i2−2200
χ362-22-200−2i2i02-22-2-222-20000−2i2i0002i−2i00000000000000−i2i2−22i2−i22−200
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
χ39444444-4-4-4-1-1-1-100004-4-1-111110000-1-1110000000000000000000
χ40444444-4-4-4-1-1-1-10000-44-1-11111000011-1-10000000000000000000
χ414444-4-444-4-1-1-1-100000011-1-11100005−55−50000000000000000000
χ424444-4-444-4-1-1-1-100000011-1-1110000−55−550000000000000000000
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
χ454-4-44000004-4-4444-4-400000000000000000000000000000000000
χ464-4-44000004-4-44-4-44400000000000000000000000000000000000
χ4788-8-88-8000-2-222000000-220000000000000000000000000000000
χ4888-8-8-88000-2-2220000002-20000000000000000000000000000000
χ498-88-8008i−8i0-22-2200000000−2i2i00000000000000000000000000000
χ508-88-800−8i8i0-22-22000000002i−2i00000000000000000000000000000
χ518-8-8800000-222-200000000002i5−2i5000000000000000000000000000
χ528-8-8800000-222-20000000000−2i52i5000000000000000000000000000

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