Finite Group Databasebeta

← Group #10280

Character table — Group #10280

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size111122222222224444444444888888881616161616161616
order1222224444444444444444448888888822222488
χ11111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ61111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ71111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ9222222222-2-2-2-22-2-22222-2-2-2-20000000000000000
χ10222222222-2-2-2-22-2-2-2-2-2-222220000000000000000
χ11222222-2-2-222-2-2-22-200000000000000002-2000000
χ12222222-2-2-222-2-2-22-20000000000000000-22000000
χ13222222-2-2-2-2-222-2-220000000000000000002-20000
χ14222222-2-2-2-2-222-2-22000000000000000000-220000
χ152222-2-222-22222-2-2-2000000000000000000002-200
χ162222-2-222-22222-2-2-200000000000000000000-2200
χ172222-2-222-2-2-2-2-2-22200000000000000000000002i−2i
χ182222-2-222-2-2-2-2-2-2220000000000000000000000−2i2i
χ192222-2-2-2-2222-2-22-220000000022-2-2000000000000
χ202222-2-2-2-2222-2-22-2200000000-2-222000000000000
χ212222-2-2-2-22-2-22222-200000000000022-2-200000000
χ222222-2-2-2-22-2-22222-2000000000000-2-22200000000
χ232-2-222-22-2-20000200000022-2-22−22−22−22−200000000
χ242-2-222-22-2-20000200000022-2-2−22−22−22−2200000000
χ252-2-222-22-2-200002000000-2-2222−22−2−22−2200000000
χ262-2-222-22-2-200002000000-2-222−22−222−22−200000000
χ272-2-22-22-22-2000020022-2-200002−2−222−2−2200000000
χ282-2-22-22-22-2000020022-2-20000−222−2−222−200000000
χ292-2-22-22-22-20000200-2-22200002−2−22−222−200000000
χ302-2-22-22-22-20000200-2-2220000−222−22−2−2200000000
χ3144-4-400000004-40002-22-22-22-20000000000000000
χ3244-4-400000004-4000-22-22-22-220000000000000000
χ3344-4-40000000-440002-22-2-22-220000000000000000
χ3444-4-40000000-44000-22-222-22-20000000000000000
χ354-44-4000004-4000002-2-222-2-220000000000000000
χ364-44-4000004-400000-222-2-222-20000000000000000
χ374-44-400000-44000002-2-22-222-20000000000000000
χ384-44-400000-4400000-222-22-2-220000000000000000
χ394-4-444-4-4440000-400000000000000000000000000
χ404-4-44-444-440000-400000000000000000000000000

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