Finite Group Databasebeta

← Group #9957

Character table — Group #9957

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37
size1111222222224448888888888888888161616161616
order1222222222444444444444488888888444444
χ11111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-1-1-11-11-1-1-1
χ31111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ41111111111111111111-1-1-1-1-1-1-1-11111-11-11-1-1
χ5111111111111111-1-1-1-1111111111111-1-1-1-1-1-1
χ6111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111
χ7111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ8111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-111
χ92222222222-2-2-2-2-2000022-2-200000000000000
χ102222222222-2-2-2-2-20000-2-22200000000000000
χ11222222-2-2-2-222-2-220000000000000000020-200
χ12222222-2-2-2-222-2-2200000000000000000-20200
χ13222222-2-2-2-2-2-222-2000000000000000000002i−2i
χ14222222-2-2-2-2-2-222-200000000000000000000−2i2i
χ152222-2-22-2-22222-2-20000000022-2-20000000000
χ162222-2-22-2-22222-2-200000000-2-2220000000000
χ172222-2-22-2-22-2-2-22200000000000022-2-2000000
χ182222-2-22-2-22-2-2-222000000000000-2-222000000
χ192222-2-2-222-222-22-2000000000000000020-2000
χ202222-2-2-222-222-22-20000000000000000-202000
χ212222-2-2-222-2-2-22-2222-2-2000000000000000000
χ222222-2-2-222-2-2-22-22-2-222000000000000000000
χ2322-2-22-222-2-2000000000002-22−22−22−22−2000000
χ2422-2-22-222-2-2000000000002-2−22−22−22−22000000
χ2522-2-22-222-2-200000000000-222−22−2−22−22000000
χ2622-2-22-222-2-200000000000-22−22−222−22−2000000
χ2722-2-2-222-22-20000000002-2002−2−222−2−22000000
χ2822-2-2-222-22-20000000002-200−222−2−222−2000000
χ2922-2-2-222-22-2000000000-22002−2−22−222−2000000
χ3022-2-2-222-22-2000000000-2200−222−22−2−22000000
χ3144-4-44-4-4-444000000000000000000000000000
χ3244-4-4-44-44-44000000000000000000000000000
χ334-4-440000004-40002-22-2000000000000000000
χ344-4-440000004-4000-22-22000000000000000000
χ354-4-44000000-440002-2-22000000000000000000
χ364-4-44000000-44000-222-2000000000000000000
χ378-88-8000000000000000000000000000000000

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