Finite Group Databasebeta

← Group #8913

Character table — Group #8913

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
χ91-11-1-111-11-1-1-111i−ii−i11-1-1i−ii−iii−i−i11-1-111-1-1i−i
χ101-11-1-111-11-1-1-111i−ii−i11-1-1i−ii−i−i−iii-1-111-1-111−ii
χ111-11-1-111-11-1-1-111i−i−ii-1-111i−i−iiii−i−i11-1-1-1-111−ii
χ121-11-1-111-11-1-1-111i−i−ii-1-111i−i−ii−i−iii-1-11111-1-1i−i
χ131-11-1-111-11-1-1-111−iii−i-1-111−iii−iii−i−i-1-11111-1-1−ii
χ141-11-1-111-11-1-1-111−iii−i-1-111−iii−i−i−iii11-1-1-1-111i−i
χ151-11-1-111-11-1-1-111−ii−ii11-1-1−ii−iiii−i−i-1-111-1-111i−i
χ161-11-1-111-11-1-1-111−ii−ii11-1-1−ii−ii−i−iii11-1-111-1-1−ii
χ17222222222-2-22-2-200002-22-2000000000000000000
χ18222222222-2-22-2-20000-22-22000000000000000000
χ1922222222-22-2-22-20022000000-2-200000000000000
χ2022222222-22-2-22-200-2-20000002200000000000000
χ2122222222-2-22-2-2222000000-2-20000000000000000
χ2222222222-2-22-2-22-2-2000000220000000000000000
χ232-22-2-222-2222-2-2-200002-2-22000000000000000000
χ242-22-2-222-2222-2-2-20000-222-2000000000000000000
χ252-22-2-222-2-22-22-222i−2i000000−2i2i0000000000000000
χ262-22-2-222-2-22-22-22−2i2i0000002i−2i0000000000000000
χ272-22-2-222-2-2-2222-2002i−2i000000−2i2i00000000000000
χ282-22-2-222-2-2-2222-200−2i2i0000002i−2i00000000000000
χ29444-4-4-4-440000000000000000002i−2i2i−2i0000000000
χ30444-4-4-4-44000000000000000000−2i2i−2i2i0000000000
χ3144-44-44-4-400000000000000000000002-22-2000000
χ3244-44-44-4-40000000000000000000000-22-22000000
χ3344-4-44-44-4000000000000000000000000002-22-200
χ3444-4-44-44-400000000000000000000000000-22-2200
χ354-4444-4-4-40000000000000000002-2-220000000000
χ364-4444-4-4-4000000000000000000-222-20000000000
χ374-4-44-4-444000000000000000000000000002-2-2200
χ384-4-44-4-44400000000000000000000000000-222-200
χ394-4-4-444-4400000000000000000000002-2-22000000
χ404-4-4-444-440000000000000000000000-222-2000000

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