Finite Group Databasebeta

← Group #10604573

Character table — Group #10604573

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1111222244444555588888888101010101616161620202020202020202020202020202020204040
order12224444451010104444442020202020202244202020204444444448888888824
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
χ91111-1-1-1-11111111111-111-1-1-1-1-1-1-1-111-1-11ii−i−iii−i−iii−i−iii−i−i1-1
χ101111-1-1-1-11111111111-111-1-1-1-1-1-1-1-111-1-11−i−iii−i−iii−i−iii−i−iii1-1
χ111111-1-1-1-1111111111-1111-1-1-1-1-1-1-1-1-1-1111ii−i−iii−i−i−i−iii−i−iii-11
χ121111-1-1-1-1111111111-1111-1-1-1-1-1-1-1-1-1-1111−i−iii−i−iiiii−i−iii−i−i-11
χ131111-1-1-1-111111-1-1-1-11-111-1-1-1-1111111-1-1-111-1-1-1-11111-1-1-1-111-11
χ141111-1-1-1-111111-1-1-1-11-111-1-1-1-1111111-1-1-1-1-11111-1-1-1-11111-1-1-11
χ151111-1-1-1-111111-1-1-1-1-1111-1-1-1-11111-1-111-111-1-1-1-111-1-11111-1-11-1
χ161111-1-1-1-111111-1-1-1-1-1111-1-1-1-11111-1-111-1-1-11111-1-111-1-1-1-1111-1
χ17222222-2-2-22222222200-2-222-2-222-2-20000-2000000000000000000
χ18222222-2-2-22222-2-2-2-200-2-222-2-2-2-22200002000000000000000000
χ192222-2-222-22222222200-2-2-2-222-2-2220000-2000000000000000000
χ202222-2-222-22222-2-2-2-200-2-2-2-22222-2-200002000000000000000000
χ2122-2-2002i−2i02-22-222-2-20000002i−2i002i−2i000001+i−1−i1−i−1+i1+i−1−i1−i−1+i0000000000
χ2222-2-2002i−2i02-22-222-2-20000002i−2i002i−2i00000−1−i1+i−1+i1−i−1−i1+i−1+i1−i0000000000
χ2322-2-2002i−2i02-22-2-2-2220000002i−2i00−2i2i000001−i−1+i−1−i1+i−1+i1−i1+i−1−i0000000000
χ2422-2-2002i−2i02-22-2-2-2220000002i−2i00−2i2i00000−1+i1−i1+i−1−i1−i−1+i−1−i1+i0000000000
χ2522-2-200−2i2i02-22-222-2-2000000−2i2i00−2i2i000001−i−1+i1+i−1−i1−i−1+i1+i−1−i0000000000
χ2622-2-200−2i2i02-22-222-2-2000000−2i2i00−2i2i00000−1+i1−i−1−i1+i−1+i1−i−1−i1+i0000000000
χ2722-2-200−2i2i02-22-2-2-222000000−2i2i002i−2i000001+i−1−i−1+i1−i−1−i1+i1−i−1+i0000000000
χ2822-2-200−2i2i02-22-2-2-222000000−2i2i002i−2i00000−1−i1+i1−i−1+i1+i−1−i−1+i1−i0000000000
χ292-22-22i−2i0002-2-222i−2i2i−2i00002i−2i002-2000000000000000i2−i22−22−2i2−i200
χ302-22-22i−2i0002-2-222i−2i2i−2i00002i−2i002-2000000000000000−i2i2−22−22−i2i200
χ312-22-22i−2i0002-2-22−2i2i−2i2i00002i−2i00-220000000000000002−2−i2i2i2−i2−2200
χ322-22-22i−2i0002-2-22−2i2i−2i2i00002i−2i00-22000000000000000−22i2−i2−i2i22−200
χ332-22-2−2i2i0002-2-222i−2i2i−2i0000−2i2i00-220000000000000002−2i2−i2−i2i2−2200
χ342-22-2−2i2i0002-2-222i−2i2i−2i0000−2i2i00-22000000000000000−22−i2i2i2−i22−200
χ352-22-2−2i2i0002-2-22−2i2i−2i2i0000−2i2i002-2000000000000000i2−i2−22−22i2−i200
χ362-22-2−2i2i0002-2-22−2i2i−2i2i0000−2i2i002-2000000000000000−i2i22−22−2−i2i200
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
χ39444444-4-4-4-1-1-1-100000011-1-11100005−55−50000000000000000000
χ40444444-4-4-4-1-1-1-100000011-1-1110000−55−550000000000000000000
χ414444-4-444-4-1-1-1-10000001111-1-100005−5−550000000000000000000
χ424444-4-444-4-1-1-1-10000001111-1-10000−555−50000000000000000000
χ434444-4-4-4-44-1-1-1-100004-4-1-111110000-1-1110000000000000000000
χ444444-4-4-4-44-1-1-1-10000-44-1-11111000011-1-10000000000000000000
χ454-4-440000044-4-44i−4i−4i4i00000000000000000000000000000000000
χ464-4-440000044-4-4−4i4i4i−4i00000000000000000000000000000000000
χ4788-8-8008i−8i0-22-220000000000−2i2i000000000000000000000000000
χ4888-8-800−8i8i0-22-2200000000002i−2i000000000000000000000000000
χ498-88-88i−8i000-222-200000000−2i2i00000000000000000000000000000
χ508-88-8−8i8i000-222-2000000002i−2i00000000000000000000000000000
χ518-8-8800000-2-22200000025−250000000000000000000000000000000
χ528-8-8800000-2-222000000−25250000000000000000000000000000000

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