Finite Group Databasebeta

← Group #10604673

Character table — Group #10604673

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11112244444455558888888810101616161620202020202020202020404040404040
order12224444510101022224420202020202044202020204488888888444444
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111-1-111111111-1-1-1-11111111111-1-1-1-1-1-1
χ41111111111111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-111111111-1-11111-1-1iiii−i−i−i−i-1-1ii−i−i
χ6111111111111-1-1-1-111111111-1-11111-1-1−i−i−i−iiiii-1-1−i−iii
χ7111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii
χ8111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i
χ9111111-1-1111111111-1-1-1-1-1111111-1-1-1-111-1-111-1-11-11-11-1
χ10111111-1-1111111111-1-1-1-1-1111111-1-1-1-1-1-111-1-1111-1-11-11
χ11111111-1-111111111-11-1-1-1-11111-1-111-1-111-1-111-1-1-11-11-11
χ12111111-1-111111111-11-1-1-1-11111-1-111-1-1-1-111-1-111-111-11-1
χ13111111-1-11111-1-1-1-11-1-1-1-1-111-1-111-1-111ii−i−i−i−iii-11i−i−ii
χ14111111-1-11111-1-1-1-11-1-1-1-1-111-1-111-1-111−i−iiiii−i−i-11−iii−i
χ15111111-1-11111-1-1-1-1-11-1-1-1-111-1-1-1-11111ii−i−i−i−iii1-1−iii−i
χ16111111-1-11111-1-1-1-1-11-1-1-1-111-1-1-1-11111−i−iiiii−i−i1-1i−i−ii
χ172222-2-22-2222222220022-2-2-2-2-2-200002-200000000000000
χ182222-2-22-22222-2-2-2-20022-2-2-2-2220000-2200000000000000
χ192222-2-2-222222222200-2-222-2-2-2-20000-2200000000000000
χ202222-2-2-222222-2-2-2-200-2-222-2-22200002-200000000000000
χ212-2-222-2002-2-2222-2-20000002-22-2000000002i−2i002i−2i000000
χ222-2-222-2002-2-2222-2-20000002-22-200000000−2i2i00−2i2i000000
χ232-2-222-2002-2-22-2-2220000002-2-22000000002-200-22000000
χ242-2-222-2002-2-22-2-2220000002-2-2200000000-22002-2000000
χ252-2-22-22002-2-2222-2-2000000-22-220000002i−2i002i−2i00000000
χ262-2-22-22002-2-2222-2-2000000-22-22000000−2i2i00−2i2i00000000
χ272-2-22-22002-2-22-2-222000000-222-20000002-200-2200000000
χ282-2-22-22002-2-22-2-222000000-222-2000000-22002-200000000
χ2944444444-1-1-1-1000044-1-1-1-1-1-100-1-1-1-10000000000000000
χ3044444444-1-1-1-10000-4-4-1-1-1-1-1-10011110000000000000000
χ31444444-4-4-1-1-1-100004-41111-1-100-1-1110000000000000000
χ32444444-4-4-1-1-1-10000-441111-1-10011-1-10000000000000000
χ334444-4-44-4-1-1-1-1000000-1-11111005−55−50000000000000000
χ344444-4-44-4-1-1-1-1000000-1-1111100−55−550000000000000000
χ354444-4-4-44-1-1-1-100000011-1-111005−5−550000000000000000
χ364444-4-4-44-1-1-1-100000011-1-11100−555−50000000000000000
χ3744-4-4000044-4-44-44-4000000000000000000000000000000
χ3844-4-4000044-4-4-44-44000000000000000000000000000000
χ394-44-400004-44-44-4-44000000000000000000000000000000
χ404-44-400004-44-4-444-4000000000000000000000000000000
χ4188-8-80000-2-22200000025−2500000000000000000000000000
χ4288-8-80000-2-222000000−252500000000000000000000000000
χ438-88-80000-22-220000000025−25000000000000000000000000
χ448-88-80000-22-2200000000−2525000000000000000000000000
χ458-8-888-800-222-20000000000-220000000000000000000000
χ468-8-88-8800-222-200000000002-20000000000000000000000

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