Finite Group Databasebeta

← Group #10187

Character table — Group #10187

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37
size1111222222224448888888888888888161616161616
order1222224444444444444888888888888444488
χ11111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ31111111111111111111-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1
χ6111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ7111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ8111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ922222222-2-2-2-22-2-2000000002i2i−2i−2i0000000000
χ1022222222-2-2-2-22-2-200000000−2i−2i2i2i0000000000
χ11222222-2-22222-2-2-222-2-2000000000000000000
χ12222222-2-22222-2-2-2-2-222000000000000000000
χ13222222-2-2-2-2-2-2-22200000000000022-2-2000000
χ14222222-2-2-2-2-2-2-222000000000000-2-222000000
χ152222-2-2222-22-2-22-200000000000000002-20000
χ162222-2-2222-22-2-22-20000000000000000-220000
χ172222-2-222-22-22-2-22000022-2-200000000000000
χ182222-2-222-22-22-2-220000-2-22200000000000000
χ192222-2-2-2-22-22-22-22000000000000000000002-2
χ202222-2-2-2-22-22-22-2200000000000000000000-22
χ212222-2-2-2-2-22-2222-20000000000000000002-200
χ222222-2-2-2-2-22-2222-2000000000000000000-2200
χ232-2-222-2002-2-22000002-20000i2−i2i2−i2i2−i2i2−i2000000
χ242-2-222-2002-2-22000002-20000−i2i2−i2i2−i2i2−i2i2000000
χ252-2-222-2002-2-2200000-220000i2−i2i2−i2−i2i2−i2i2000000
χ262-2-222-2002-2-2200000-220000−i2i2−i2i2i2−i2i2−i2000000
χ272-2-222-200-222-20002i−2i0000002−2−22i2−i2−i2i2000000
χ282-2-222-200-222-20002i−2i000000−222−2−i2i2i2−i2000000
χ292-2-222-200-222-2000−2i2i0000002−2−22−i2i2i2−i2000000
χ302-2-222-200-222-2000−2i2i000000−222−2i2−i2−i2i2000000
χ3144-4-4004-4000000000000022−2200000000000000
χ3244-4-4004-40000000000000−222200000000000000
χ3344-4-400-440000000000022−220000000000000000
χ3444-4-400-4400000000000−22220000000000000000
χ354-4-44-440044-4-40000000000000000000000000
χ364-4-44-4400-4-4440000000000000000000000000
χ378-88-8000000000000000000000000000000000

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