Finite Group Databasebeta

← Group #10191

Character table — Group #10191

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37
size1111222222224448888888888888888161616161616
order1222224444444444444888888888888444488
χ11111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1
χ31111111111111111111-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111
χ5111111111111111-1-1-1-111111111-1-1-1-11-1-11-1-1
χ6111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ7111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-111-111
χ8111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ922222222-2-222-2-2-222-2-2000000000000000000
χ1022222222-2-222-2-2-2-2-222000000000000000000
χ11222222-2-222-2-22-2-2000000002i2i−2i−2i0000000000
χ12222222-2-222-2-22-2-200000000−2i−2i2i2i0000000000
χ13222222-2-2-2-2-2-2-22200000000000022-2-2000000
χ14222222-2-2-2-2-2-2-222000000000000-2-222000000
χ152222-2-22-2222-2-22-20000000000000000200-200
χ162222-2-22-2222-2-22-20000000000000000-200200
χ172222-2-22-2-2-22-22-22000000000000000000002-2
χ182222-2-22-2-2-22-22-2200000000000000000000-22
χ192222-2-2-2222-22-2-22000022-2-200000000000000
χ202222-2-2-2222-22-2-220000-2-22200000000000000
χ212222-2-2-22-2-2-2222-2000000000000000002-2000
χ222222-2-2-22-2-2-2222-200000000000000000-22000
χ2322-2-22-22200-2-20002-20000002−22−22−22−2000000
χ2422-2-22-22200-2-20002-2000000−22−22−22−22000000
χ2522-2-22-22200-2-2000-220000002−22−2−22−22000000
χ2622-2-22-22200-2-2000-22000000−22−222−22−2000000
χ2722-2-22-2-2-20022000002i−2i0000i2−i2−i2i22−2−22000000
χ2822-2-22-2-2-20022000002i−2i0000−i2i2i2−i2−222−2000000
χ2922-2-22-2-2-2002200000−2i2i0000i2−i2−i2i2−222−2000000
χ3022-2-22-2-2-2002200000−2i2i0000−i2i2i2−i22−2−22000000
χ3144-4-4-444-400-440000000000000000000000000
χ3244-4-4-44-44004-40000000000000000000000000
χ334-4-4400004-4000000000002i2−2i200000000000000
χ344-4-4400004-400000000000−2i22i200000000000000
χ354-4-440000-440000000002i2−2i20000000000000000
χ364-4-440000-44000000000−2i22i20000000000000000
χ378-88-8000000000000000000000000000000000

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