Finite Group Databasebeta

← Group #10605003

Character table — Group #10605003

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size1111222244444444444445555888888888888101010102020202020202020202020202040404040
order12224444222445101010202020204444101010101010202020202020444444444888888888888
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ4111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ5111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-111111-1-1-1-111111111-1-1-1-1
χ6111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−iii
χ8111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiii−i−i
χ9111111-1-1-111-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-111-111-1-111-1-111-1-11-11-1
χ10111111-1-1-111-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-111-111-1-1-1-111-1-111-11-11
χ11111111-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11-1-111ii−i−i−i−iiii−i−ii
χ12111111-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11-1-111−i−iiiii−i−i−iii−i
χ13111111-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-11111-1-111-1-1-11-11
χ14111111-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-111-1-111-1-1111-11-1
χ15111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-1-1ii−i−i−i−iii−iii−i
χ16111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-1-1−i−iiiii−i−ii−i−ii
χ172222-2-222-20000222222222222-2-20000-2-2000022-2-2-20000000000000000
χ182222-2-222-2000022222222-2-2-2-2-2-20000-2-20000-2-22220000000000000000
χ192222-2-2-2-2200002222-2-2-2-22222220000-2-20000-2-2-2-220000000000000000
χ202222-2-2-2-2200002222-2-2-2-2-2-2-2-2220000-2-200002222-20000000000000000
χ2122-2-22-2000002-22-2-2200002i−2i2i−2i0000002-222-2-2002i−2i0002i−2i000000000000
χ2222-2-22-2000002-22-2-220000−2i2i−2i2i0000002-222-2-200−2i2i000−2i2i000000000000
χ2322-2-22-200000-222-2-2200002i−2i2i−2i0000002-2-2-222002i−2i000−2i2i000000000000
χ2422-2-22-200000-222-2-220000−2i2i−2i2i0000002-2-2-22200−2i2i0002i−2i000000000000
χ2522-2-2-220002-2002-2-2200002i−2i2i−2i0022-2-2-22000000−2i2i02i−2i00000000000000
χ2622-2-2-220002-2002-2-220000−2i2i−2i2i0022-2-2-220000002i−2i0−2i2i00000000000000
χ2722-2-2-22000-22002-2-2200002i−2i2i−2i00-2-222-22000000−2i2i0−2i2i00000000000000
χ2822-2-2-22000-22002-2-220000−2i2i−2i2i00-2-222-220000002i−2i02i−2i00000000000000
χ292-22-2002i−2i0000022-2-22i2i−2i−2i2i−2i−2i2i0000000000002-200000001+i−1−i1−i−1+i1−i−1+i1+i−1−i0000
χ302-22-2002i−2i0000022-2-22i2i−2i−2i2i−2i−2i2i0000000000002-20000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i0000
χ312-22-2002i−2i0000022-2-22i2i−2i−2i−2i2i2i−2i000000000000-2200000001−i−1+i−1−i1+i1+i−1−i−1+i1−i0000
χ322-22-2002i−2i0000022-2-22i2i−2i−2i−2i2i2i−2i000000000000-220000000−1+i1−i1+i−1−i−1−i1+i1−i−1+i0000
χ332-22-200−2i2i0000022-2-2−2i−2i2i2i2i−2i−2i2i000000000000-2200000001+i−1−i−1+i1−i1−i−1+i−1−i1+i0000
χ342-22-200−2i2i0000022-2-2−2i−2i2i2i2i−2i−2i2i000000000000-220000000−1−i1+i1−i−1+i−1+i1−i1+i−1−i0000
χ352-22-200−2i2i0000022-2-2−2i−2i2i2i−2i2i2i−2i0000000000002-200000001−i−1+i1+i−1−i1+i−1−i1−i−1+i0000
χ362-22-200−2i2i0000022-2-2−2i−2i2i2i−2i2i2i−2i0000000000002-20000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i0000
χ374444444444444-1-1-1-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000
χ38444444444-4-4-4-4-1-1-1-1-1-1-1-10000-1-11111-1-11111000000000000000000000
χ39444444-4-4-444-4-4-1-1-1-11111000011-1-1-1-1-1-11111000000000000000000000
χ40444444-4-4-4-4-444-1-1-1-111110000111111-1-1-1-1-1-1000000000000000000000
χ414444-4-444-40000-1-1-1-1-1-1-1-10000115−55−5115−55−5000000000000000000000
χ424444-4-444-40000-1-1-1-1-1-1-1-1000011−55−5511−55−55000000000000000000000
χ434444-4-4-4-440000-1-1-1-111110000-1-15−55−511−55−55000000000000000000000
χ444444-4-4-4-440000-1-1-1-111110000-1-1−55−55115−55−5000000000000000000000
χ4544-4-44-4000004-4-111-15−55−500005−55−5−55-11-1-111000000000000000000000
χ4644-4-44-4000004-4-111-1−55−550000−55−555−5-11-1-111000000000000000000000
χ4744-4-44-400000-44-111-15−55−500005−5−555−5-1111-1-1000000000000000000000
χ4844-4-44-400000-44-111-1−55−550000−555−5−55-1111-1-1000000000000000000000
χ4944-4-4-440004-400-111-15−55−50000−55-1-1111-15−5−55000000000000000000000
χ5044-4-4-440004-400-111-1−55−5500005−5-1-1111-1−555−5000000000000000000000
χ5144-4-4-44000-4400-111-15−55−50000−5511-1-11-1−555−5000000000000000000000
χ5244-4-4-44000-4400-111-1−55−5500005−511-1-11-15−5−55000000000000000000000
χ534-4-440000000004-44-4000044-4-4000000000000000000000000000000000
χ544-4-440000000004-44-40000-4-444000000000000000000000000000000000
χ558-88-8008i−8i00000-2-222−2i−2i2i2i0000000000000000000000000000000000000
χ568-88-800−8i8i00000-2-2222i2i−2i−2i0000000000000000000000000000000000000
χ578-8-88000000000-22-222i5−2i5−2i52i50000000000000000000000000000000000000
χ588-8-88000000000-22-22−2i52i52i5−2i50000000000000000000000000000000000000

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