Finite Group Databasebeta

← Group #10604828

Character table — Group #10604828

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size1122222444445588888888101010101016161616202020202020202020404040404040
order12244885810101022242020404040402448810102020444488888248888
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-11-1-1-1-111-1-1-1-1
χ311111111111111-1-111111111111-1-1-1-1111111111-1-1-1-1-1-1
χ411111111111111-1-111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111
χ5111111111111-1-111111111-1-1-1-1-11111ii−i−i-1ii−i−i-1-1ii−i−i
χ6111111111111-1-111111111-1-1-1-1-11111−i−iii-1−i−iii-1-1−i−iii
χ7111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1ii−i−i-1ii−i−i11−i−iii
χ8111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1−i−iii-1−i−iii11ii−i−i
χ911111-1-11-1111111-111-1-1-1-1111-1-111-1-11111-1-1-1-1-11-11-11-1
χ1011111-1-11-1111111-111-1-1-1-1111-1-111-1-1-1-1-1-1-111111-1-11-11
χ1111111-1-11-111111-1111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11-11-11
χ1211111-1-11-111111-1111-1-1-1-1111-1-1-1-111-1-1-1-1-11111-111-11-1
χ1311111-1-11-1111-1-11-111-1-1-1-1-1-1-11111-1-1ii−i−i1−i−iii-11i−i−ii
χ1411111-1-11-1111-1-11-111-1-1-1-1-1-1-11111-1-1−i−iii1ii−i−i-11−iii−i
χ1511111-1-11-1111-1-1-1111-1-1-1-1-1-1-111-1-111ii−i−i1−i−iii1-1−iii−i
χ1611111-1-11-1111-1-1-1111-1-1-1-1-1-1-111-1-111−i−iii1ii−i−i1-1i−i−ii
χ17222-2-200202222200-2-200002-2-2000000000002i−2i2i−2i000000
χ18222-2-200202222200-2-200002-2-200000000000−2i2i−2i2i000000
χ19222-2-20020222-2-200-2-20000-222000000000002-2-22000000
χ20222-2-20020222-2-200-2-20000-22200000000000-222-2000000
χ2122-22-20020-2-2222002-20000-2-220000002-22-200000000000
χ2222-22-20020-2-2222002-20000-2-22000000-22-2200000000000
χ2322-22-20020-2-22-2-2002-2000022-20000002i−2i−2i2i00000000000
χ2422-22-20020-2-22-2-2002-2000022-2000000−2i2i2i−2i00000000000
χ2522-2-22222-2-2-222200-2222-2-2-22-22200000000-20000000000
χ2622-2-22222-2-2-22-2-200-2222-2-22-22-2-20000000020000000000
χ2722-2-22-2-222-2-222200-22-2-222-22-2-2-20000000020000000000
χ2822-2-22-2-222-2-22-2-200-22-2-2222-222200000000-20000000000
χ294444444-14-1-1-10044-1-1-1-1-1-100000-1-1-1-1000000000000000
χ304444444-14-1-1-100-4-4-1-1-1-1-1-1000001111000000000000000
χ3144444-4-4-1-4-1-1-1004-4-1-1111100000-1-111000000000000000
χ3244444-4-4-1-4-1-1-100-44-1-111110000011-1-1000000000000000
χ3344-4-4444-1-411-100001-1-1-111000005−55−5000000000000000
χ3444-4-4444-1-411-100001-1-1-11100000−55−55000000000000000
χ3544-4-44-4-4-1411-100001-111-1-1000005−5−55000000000000000
χ3644-4-44-4-4-1411-100001-111-1-100000−555−5000000000000000
χ374-40002i2−2i24000-44-400002i2−2i2000002i2−2i20000000000000000000
χ384-40002i2−2i24000-4-4400002i2−2i200000−2i22i20000000000000000000
χ394-4000−2i22i24000-44-40000−2i22i200000−2i22i20000000000000000000
χ404-4000−2i22i24000-4-440000−2i22i2000002i2−2i20000000000000000000
χ41888-8-800-20-2-2-20000220000000000000000000000000000
χ4288-88-800-2022-20000-220000000000000000000000000000
χ438-80004i2−4i2-2025−252000000−i2i2i10−i10000000000000000000000000
χ448-80004i2−4i2-20−25252000000−i2i2−i10i10000000000000000000000000
χ458-8000−4i24i2-2025−252000000i2−i2−i10i10000000000000000000000000
χ468-8000−4i24i2-20−25252000000i2−i2i10−i10000000000000000000000000

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