Finite Group Databasebeta

← Group #10604844

Character table — Group #10604844

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11112244444455558888888810101616161620202020202020202020404040404040
order12224458810101044444420204040404022202020204444888888228888
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1
χ31111111111111111-1-111111111-1-1-1-11111111111-1-1-1-1-1-1
χ41111111111111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ5111111111111-1-1-1-111111111-1-11111ii−i−i-1-1ii−i−i-1-1ii−i−i
χ6111111111111-1-1-1-111111111-1-11111−i−iii-1-1−i−iii-1-1−i−iii
χ7111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−i-1-1ii−i−i11−i−iii
χ8111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iii-1-1−i−iii11ii−i−i
χ91111111-1-111111111-111-1-1-1-11111-1-11111-1-1-1-1-1-11-11-11-1
χ101111111-1-111111111-111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11-11
χ111111111-1-11111111-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-11-11-11
χ121111111-1-11111111-1111-1-1-1-111-1-111-1-1-1-1-1-11111-111-11-1
χ131111111-1-1111-1-1-1-11-111-1-1-1-1-1-111-1-1ii−i−i11−i−iii-11i−i−ii
χ141111111-1-1111-1-1-1-11-111-1-1-1-1-1-111-1-1−i−iii11ii−i−i-11−iii−i
χ151111111-1-1111-1-1-1-1-1111-1-1-1-1-1-1-1-111ii−i−i11−i−iii1-1−iii−i
χ161111111-1-1111-1-1-1-1-1111-1-1-1-1-1-1-1-111−i−iii11ii−i−i1-1i−i−ii
χ172222-2-2200222222200-2-20000-2-200000000002-22-2000000
χ182222-2-2200222222200-2-20000-2-20000000000-22-22000000
χ192222-2-2200222-2-2-2-200-2-200002200000000002i−2i−2i2i000000
χ202222-2-2200222-2-2-2-200-2-20000220000000000−2i2i2i−2i000000
χ212-2-222-2200-2-2222-2-2002-200002-200002i−2i2i−2i000000000000
χ222-2-222-2200-2-2222-2-2002-200002-20000−2i2i−2i2i000000000000
χ232-2-222-2200-2-22-2-222002-20000-2200002-2-22000000000000
χ242-2-222-2200-2-22-2-222002-20000-220000-222-2000000000000
χ252-2-22-2222-2-2-2222-2-200-2222-2-2-22000000002-20000000000
χ262-2-22-2222-2-2-22-2-22200-2222-2-22-200000000-220000000000
χ272-2-22-222-22-2-2222-2-200-22-2-222-2200000000-220000000000
χ282-2-22-222-22-2-22-2-22200-22-2-2222-2000000002-20000000000
χ29444444-144-1-1-1000044-1-1-1-1-1-100-1-1-1-10000000000000000
χ30444444-144-1-1-10000-4-4-1-1-1-1-1-10011110000000000000000
χ31444444-1-4-4-1-1-100004-4-1-1111100-1-1110000000000000000
χ32444444-1-4-4-1-1-10000-44-1-111110011-1-10000000000000000
χ3344-4-4004004-4-44i−4i4i−4i000000000000000000000000000000
χ3444-4-4004004-4-4−4i4i−4i4i000000000000000000000000000000
χ354-44-400400-44-44i−4i−4i4i000000000000000000000000000000
χ364-44-400400-44-4−4i4i4i−4i000000000000000000000000000000
χ374-4-44-44-14-411-10000001-1-1-111005−55−50000000000000000
χ384-4-44-44-14-411-10000001-1-1-11100−55−550000000000000000
χ394-4-44-44-1-4411-10000001-111-1-1005−5−550000000000000000
χ404-4-44-44-1-4411-10000001-111-1-100−555−50000000000000000
χ418888-8-8-200-2-2-20000002200000000000000000000000000
χ4288-8-800-200-2220000000010−1010−100000000000000000000000
χ4388-8-800-200-22200000000−1010−10100000000000000000000000
χ448-88-800-2002-220000000010−10−10100000000000000000000000
χ458-88-800-2002-2200000000−101010−100000000000000000000000
χ468-8-888-8-20022-2000000-2200000000000000000000000000

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