Finite Group Databasebeta

← Group #10296

Character table — Group #10296

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size111122222222224444444444888888881616161616161616
order1222224444444444444444448888888844444488
χ11111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-111
χ4111111111111111111111111-1-1-1-1-1-1-1-1-111-111-1-1
χ51111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ71111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111-1-1
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-111
χ9222222222-2-2-2-22-2-22222-2-2-2-20000000000000000
χ10222222222-2-2-2-22-2-2-2-2-2-222220000000000000000
χ11222222-2-2-222-2-2-22-2000000000000000000002-200
χ12222222-2-2-222-2-2-22-200000000000000000000-2200
χ13222222-2-2-2-2-222-2-22000000000000000002-200000
χ14222222-2-2-2-2-222-2-2200000000000000000-2200000
χ152222-2-222-22222-2-2-20000000000000000200-20000
χ162222-2-222-22222-2-2-20000000000000000-20020000
χ172222-2-222-2-2-2-2-2-22200000000000000000000002i−2i
χ182222-2-222-2-2-2-2-2-2220000000000000000000000−2i2i
χ192222-2-2-2-2222-2-22-2200000000000022-2-200000000
χ202222-2-2-2-2222-2-22-22000000000000-2-22200000000
χ212222-2-2-2-22-2-22222-20000000022-2-2000000000000
χ222222-2-2-2-22-2-22222-200000000-2-222000000000000
χ232-22-22-22-2-2000020000002i2i−2i−2ii2−i2i2−i22−22−200000000
χ242-22-22-22-2-2000020000002i2i−2i−2i−i2i2−i2i2−22−2200000000
χ252-22-22-22-2-200002000000−2i−2i2i2ii2−i2i2−i2−22−2200000000
χ262-22-22-22-2-200002000000−2i−2i2i2i−i2i2−i2i22−22−200000000
χ272-22-2-22-22-200002002i2i−2i−2i0000i2−i2−i2i22−2−2200000000
χ282-22-2-22-22-200002002i2i−2i−2i0000−i2i2i2−i2−222−200000000
χ292-22-2-22-22-20000200−2i−2i2i2i0000i2−i2−i2i2−222−200000000
χ302-22-2-22-22-20000200−2i−2i2i2i0000−i2i2i2−i22−2−2200000000
χ3144-4-4000004-4000002-22-22-22-20000000000000000
χ3244-4-4000004-400000-22-22-22-220000000000000000
χ3344-4-400000-44000002-22-2-22-220000000000000000
χ3444-4-400000-4400000-22-222-22-20000000000000000
χ354-44-44-4-4440000-400000000000000000000000000
χ364-44-4-444-440000-400000000000000000000000000
χ374-4-4400000004-40002i−2i−2i2i2i−2i−2i2i0000000000000000
χ384-4-4400000004-4000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ394-4-440000000-440002i−2i−2i2i−2i2i2i−2i0000000000000000
χ404-4-440000000-44000−2i2i2i−2i2i−2i−2i2i0000000000000000

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