Finite Group Databasebeta

← Group #10604344

Character table — Group #10604344

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size11111111444444444444445555555588888888888820202020202020202020202020202020202020202020
order12222222444444510101010101010222222222020202020202020202020204444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ41111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ51111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-1
χ61111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-111
χ71111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii
χ81111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i
χ911111111-1-111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1
χ1011111111-1-111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111
χ1111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii
χ1211111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i
χ1311111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111
χ1411111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-111-1-1
χ1511111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ1611111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1−i−iiiii−i−iii−i−i−i−iii
χ172222-2-2-2-20000002222-2-2-2-2222-2-22-2-2000000000000000000002-2002-200000000
χ182222-2-2-2-20000002222-2-2-2-2222-2-22-2-200000000000000000000-2200-2200000000
χ192222-2-2-2-20000002222-2-2-2-2-2-2-222-222000000000000000000002i−2i00−2i2i00000000
χ202222-2-2-2-20000002222-2-2-2-2-2-2-222-22200000000000000000000−2i2i002i−2i00000000
χ2122-2-222-2-200000022-2-222-2-222-22-2-22-20000000000000000002-2002-20000000000
χ2222-2-222-2-200000022-2-222-2-222-22-2-22-2000000000000000000-2200-220000000000
χ2322-2-222-2-200000022-2-222-2-2-2-22-222-220000000000000000002i−2i00−2i2i0000000000
χ2422-2-222-2-200000022-2-222-2-2-2-22-222-22000000000000000000−2i2i002i−2i0000000000
χ2522-2-2-2-222002-20022-2-2-2-22222-2-22-2-22000022-2-20000002-2000000000000000000
χ2622-2-2-2-222002-20022-2-2-2-222-2-222-222-2000022-2-2000000-22000000000000000000
χ2722-2-2-2-22200-220022-2-2-2-22222-2-22-2-220000-2-222000000-22000000000000000000
χ2822-2-2-2-22200-220022-2-2-2-222-2-222-222-20000-2-2220000002-2000000000000000000
χ292-22-22-22-200002i−2i2-22-22-22-22-222-2-2-22000000002i2i−2i−2i00002i−2i0000000000000000
χ302-22-22-22-200002i−2i2-22-22-22-2-22-2-2222-2000000002i2i−2i−2i0000−2i2i0000000000000000
χ312-22-22-22-20000−2i2i2-22-22-22-22-222-2-2-2200000000−2i−2i2i2i0000−2i2i0000000000000000
χ322-22-22-22-20000−2i2i2-22-22-22-2-22-2-2222-200000000−2i−2i2i2i00002i−2i0000000000000000
χ332-22-2-22-220000002-22-2-22-222-22-22-22-2000000000000000000000000002i−2i002i−2i00
χ342-22-2-22-220000002-22-2-22-222-22-22-22-200000000000000000000000000−2i2i00−2i2i00
χ352-22-2-22-220000002-22-2-22-22-22-22-22-22000000000000000000000000002-200-2200
χ362-22-2-22-220000002-22-2-22-22-22-22-22-2200000000000000000000000000-22002-200
χ372-2-222-2-220000002-2-222-2-222-2-2222-2-200000000000000000000000000002i−2i002i−2i
χ382-2-222-2-220000002-2-222-2-222-2-2222-2-20000000000000000000000000000−2i2i00−2i2i
χ392-2-222-2-220000002-2-222-2-22-222-2-2-22200000000000000000000000000002-200-22
χ402-2-222-2-220000002-2-222-2-22-222-2-2-2220000000000000000000000000000-22002-2
χ412-2-22-222-22-200002-2-22-222-22-2-2-2-222222-2-2000000002-200000000000000000000
χ422-2-22-222-22-200002-2-22-222-2-22222-2-2-222-2-200000000-2200000000000000000000
χ432-2-22-222-2-2200002-2-22-222-22-2-2-2-2222-2-22200000000-2200000000000000000000
χ442-2-22-222-2-2200002-2-22-222-2-22222-2-2-2-2-222000000002-200000000000000000000
χ4544444444444444-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000
χ464444444444-4-4-4-4-1-1-1-1-1-1-1-100000000-1-1-1-1111111110000000000000000000000
χ4744444444-4-444-4-4-1-1-1-1-1-1-1-1000000001111-1-1-1-111110000000000000000000000
χ4844444444-4-4-4-444-1-1-1-1-1-1-1-10000000011111111-1-1-1-10000000000000000000000
χ4944-4-4-4-444004-400-1-11111-1-1000000005−55−5-1-1115−55−50000000000000000000000
χ5044-4-4-4-444004-400-1-11111-1-100000000−55−55-1-111−55−550000000000000000000000
χ5144-4-4-4-44400-4400-1-11111-1-1000000005−55−511-1-1−55−550000000000000000000000
χ5244-4-4-4-44400-4400-1-11111-1-100000000−55−5511-1-15−55−50000000000000000000000
χ534-44-44-44-400004i−4i-11-11-11-11000000005−5−55i5−i5i5−i5−i−iii0000000000000000000000
χ544-44-44-44-400004i−4i-11-11-11-1100000000−555−5−i5i5−i5i5−i−iii0000000000000000000000
χ554-44-44-44-40000−4i4i-11-11-11-11000000005−5−55−i5i5−i5i5ii−i−i0000000000000000000000
χ564-44-44-44-40000−4i4i-11-11-11-1100000000−555−5i5−i5i5−i5ii−i−i0000000000000000000000
χ574-4-44-444-44-40000-111-11-1-1100000000-1-111i5−i5−i5i5i5−i5−i5i50000000000000000000000
χ584-4-44-444-44-40000-111-11-1-1100000000-1-111−i5i5i5−i5−i5i5i5−i50000000000000000000000
χ594-4-44-444-4-440000-111-11-1-110000000011-1-1i5−i5−i5i5−i5i5i5−i50000000000000000000000
χ604-4-44-444-4-440000-111-11-1-110000000011-1-1−i5i5i5−i5i5−i5−i5i50000000000000000000000
χ618888-8-8-8-8000000-2-2-2-22222000000000000000000000000000000000000000000
χ6288-8-888-8-8000000-2-222-2-222000000000000000000000000000000000000000000
χ638-88-8-88-88000000-22-222-22-2000000000000000000000000000000000000000000
χ648-8-888-8-88000000-222-2-222-2000000000000000000000000000000000000000000

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