Finite Group Databasebeta

← Group #9004

Character table — Group #9004

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size111111114444448888888888888888888888881616
order1222222244444444444444444488888888888844
χ11111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1
χ41111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ611111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ711111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111
χ811111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ91-1-1-111-1111-1-1-11i−ii−i11-1-1i−ii−i11-1-1ii−i−iii−i−i1-1
χ101-1-1-111-1111-1-1-11i−ii−i11-1-1i−ii−i-1-111−i−iii−i−iii-11
χ111-1-1-111-1111-1-1-11i−i−ii-1-111i−i−ii11-1-1ii−i−i−i−iii-11
χ121-1-1-111-1111-1-1-11i−i−ii-1-111i−i−ii-1-111−i−iiiii−i−i1-1
χ131-1-1-111-1111-1-1-11−iii−i-1-111−iii−i11-1-1−i−iiiii−i−i-11
χ141-1-1-111-1111-1-1-11−iii−i-1-111−iii−i-1-111ii−i−i−i−iii1-1
χ151-1-1-111-1111-1-1-11−ii−ii11-1-1−ii−ii11-1-1−i−iii−i−iii1-1
χ161-1-1-111-1111-1-1-11−ii−ii11-1-1−ii−ii-1-111ii−i−iii−i−i-11
χ17222222222-2-22-2-20022000000-2-200000000000000
χ18222222222-2-22-2-200-2-20000002200000000000000
χ1922222222-22-2-22-222000000-2-20000000000000000
χ2022222222-22-2-22-2-2-2000000220000000000000000
χ2122222222-2-22-2-2200002-22-2000000000000000000
χ2222222222-2-22-2-220000-22-22000000000000000000
χ232-2-2-222-222-22-22-2002i−2i000000−2i2i00000000000000
χ242-2-2-222-222-22-22-200−2i2i0000002i−2i00000000000000
χ252-2-2-222-22-2222-2-22i−2i000000−2i2i0000000000000000
χ262-2-2-222-22-2222-2-2−2i2i0000002i−2i0000000000000000
χ272-2-2-222-22-2-2-222200002-2-22000000000000000000
χ282-2-2-222-22-2-2-22220000-222-2000000000000000000
χ29444-44-4-4-400000000000000000000002-22-2000000
χ30444-44-4-4-40000000000000000000000-22-22000000
χ3144-44-44-4-4000000000000000000000000002-22-200
χ3244-44-44-4-400000000000000000000000000-22-2200
χ3344-4-4-4-4440000000000000000002i−2i2i−2i0000000000
χ3444-4-4-4-444000000000000000000−2i2i−2i2i0000000000
χ354-444-4-4-440000000000000000002i−2i−2i2i0000000000
χ364-444-4-4-44000000000000000000−2i2i2i−2i0000000000
χ374-44-4-444-4000000000000000000000000002i−2i−2i2i00
χ384-44-4-444-400000000000000000000000000−2i2i2i−2i00
χ394-4-444-44-400000000000000000000002i−2i−2i2i000000
χ404-4-444-44-40000000000000000000000−2i2i2i−2i000000

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