Finite Group Databasebeta

← Group #9999

Character table — Group #9999

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37
size1111222222224448888888888888888161616161616
order1222224444444444444444488888888244488
χ11111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ31111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ41111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ5111111111111111-1-1-1-1111111111111-1-1-1-1-1-1
χ6111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111
χ7111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ8111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ9222222222-2-22-2-2-2000022-2-200000000000000
χ10222222222-2-22-2-2-20000-2-22200000000000000
χ11222222-2-2-222-22-2-20000000000000000002-200
χ12222222-2-2-222-22-2-2000000000000000000-2200
χ13222222-2-2-2-2-2-2-22222-2-2000000000000000000
χ14222222-2-2-2-2-2-2-222-2-222000000000000000000
χ152222-2-222-222-2-2-2200000000000022-2-2000000
χ162222-2-222-222-2-2-22000000000000-2-222000000
χ172222-2-222-2-2-2-222-2000000002i2i−2i−2i0000000000
χ182222-2-222-2-2-2-222-200000000−2i−2i2i2i0000000000
χ192222-2-2-2-22222-22-2000000000000000000002-2
χ202222-2-2-2-22222-22-200000000000000000000-22
χ212222-2-2-2-22-2-222-2200000000000000002-20000
χ222222-2-2-2-22-2-222-220000000000000000-220000
χ232-22-22-22-2-20020000000002-2i2−i2i2−i2i2−i2i2−i2000000
χ242-22-22-22-2-20020000000002-2−i2i2−i2i2−i2i2−i2i2000000
χ252-22-22-22-2-2002000000000-22i2−i2i2−i2−i2i2−i2i2000000
χ262-22-22-22-2-2002000000000-22−i2i2−i2i2i2−i2i2−i2000000
χ272-22-2-222-2200-200000002i−2i002−2−22i2−i2−i2i2000000
χ282-22-2-222-2200-200000002i−2i00−222−2−i2i2i2−i2000000
χ292-22-2-222-2200-20000000−2i2i002−2−22−i2i2i2−i2000000
χ302-22-2-222-2200-20000000−2i2i00−222−2i2−i2−i2i2000000
χ314-44-44-4-44400-40000000000000000000000000
χ324-44-4-44-44-40040000000000000000000000000
χ334-4-44000004i−4i00002i−2i2-2000000000000000000
χ344-4-44000004i−4i0000−2i2i-22000000000000000000
χ354-4-4400000−4i4i00002i−2i-22000000000000000000
χ364-4-4400000−4i4i0000−2i2i2-2000000000000000000
χ3788-8-8000000000000000000000000000000000

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