Finite Group Databasebeta

← Group #143683

Character table — Group #143683

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size1111224444444444881616161616161616161616163232323232323232
order1222442444448888888888161616161616161644444444
χ111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-11111-1-1-1-111-1-111-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ7111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ9222222222222-2-2-2-2-2-222-2-20000000000000000
χ10222222222222-2-2-2-2-2-2-2-2220000000000000000
χ1122222222-2-2-2-222-2-22-20000000022-2-200000000
χ1222222222-2-2-2-222-2-22-200000000-2-22200000000
χ1322222222-2-2-2-2-2-222-22000022-2-2000000000000
χ1422222222-2-2-2-2-2-222-220000-2-222000000000000
χ15222222-2-222-2-22222-2-200000000000000002-200
χ16222222-2-222-2-22222-2-20000000000000000-2200
χ17222222-2-222-2-2-2-2-2-2220000000000000000002i−2i
χ18222222-2-222-2-2-2-2-2-222000000000000000000−2i2i
χ19222222-2-2-2-22222-2-2-22000000000000002-20000
χ20222222-2-2-2-22222-2-2-2200000000000000-220000
χ21222222-2-2-2-222-2-2222-20000000000002-2000000
χ22222222-2-2-2-222-2-2222-2000000000000-22000000
χ232222-2-22-22-22-2000000002-22−22−22−22−200000000
χ242222-2-22-22-22-2000000002-2−22−22−22−2200000000
χ252222-2-22-22-22-200000000-222−22−2−22−2200000000
χ262222-2-22-22-22-200000000-22−22−222−22−200000000
χ272222-2-22-2-22-220000002-2002−2−222−2−2200000000
χ282222-2-22-2-22-220000002-200−222−2−222−200000000
χ292222-2-22-2-22-22000000-22002−2−22−222−200000000
χ302222-2-22-2-22-22000000-2200−222−22−2−2200000000
χ314444-4-4-444-4-4400000000000000000000000000
χ324444-4-4-44-444-400000000000000000000000000
χ3388-8-8000000000042−420000000000000000000000
χ3488-8-80000000000−42420000000000000000000000
χ358-88-80000000042−42000000000000000000000000
χ368-88-800000000−4242000000000000000000000000
χ378-8-888-800000000000000000000000000000000
χ388-8-88-8800000000000000000000000000000000

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