Finite Group Databasebeta

← Group #142929

Character table — Group #142929

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size11112222224444444488161616161616161616161616161616161616161632323232
order1222224444224488888844444444448816161616161616164444
χ111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ511111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1
χ611111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-11-11
χ811111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111-11-1
χ922222222222222-2-2-2-2-2-20000220000-2-2000000000000
χ1022222222222222-2-2-2-2-2-20000-2-2000022000000000000
χ112222222222-2-2-2-222-2-22-20000000000000000000020-20
χ122222222222-2-2-2-222-2-22-200000000000000000000-2020
χ132222222222-2-2-2-2-2-222-2200000000000000000000020-2
χ142222222222-2-2-2-2-2-222-22000000000000000000000-202
χ15222222-2-2-2-222-2-200000000002-200000022−2−222−2−20000
χ16222222-2-2-2-222-2-200000000002-2000000−2−222−2−2220000
χ17222222-2-2-2-222-2-20000000000-2200000022−2−2−2−2220000
χ18222222-2-2-2-222-2-20000000000-22000000−2−22222−2−20000
χ192222-2-22-22-22-22-22222-2-222-2-200000000000000000000
χ202222-2-22-22-22-22-22222-2-2-2-22200000000000000000000
χ212222-2-22-22-22-22-2-2-2-2-2220000002i2i−2i−2i00000000000000
χ222222-2-22-22-22-22-2-2-2-2-222000000−2i−2i2i2i00000000000000
χ232222-2-22-22-2-22-2222-2-2-220000000000002-22-200000000
χ242222-2-22-22-2-22-2222-2-2-22000000000000-22-2200000000
χ252222-2-22-22-2-22-22-2-2222-200000000000000002-22-20000
χ262222-2-22-22-2-22-22-2-2222-20000000000000000-22-220000
χ272222-2-2-22-22-222-200000000000000002-22−2−222−2−220000
χ282222-2-2-22-22-222-200000000000000002-2−222−2−222−20000
χ292222-2-2-22-22-222-20000000000000000-222−2−22−222−20000
χ302222-2-2-22-22-222-20000000000000000-22−222−22−2−220000
χ31444444-4-4-4-4-4-444000000000000000000000000000000
χ324444-4-4-44-444-4-44000000000000000000000000000000
χ334-4-444-444-4-400000000000000002-22-200000000000000
χ344-4-444-444-4-40000000000000000-22-2200000000000000
χ354-4-444-4-4-44400000000002i−2i2i−2i00000000000000000000
χ364-4-444-4-4-4440000000000−2i2i−2i2i00000000000000000000
χ374-4-44-444-4-4400000000000000002i−2i−2i2i00000000000000
χ384-4-44-444-4-440000000000000000−2i2i2i−2i00000000000000
χ394-4-44-44-444-400000000002i−2i−2i2i00000000000000000000
χ404-4-44-44-444-40000000000−2i2i2i−2i00000000000000000000
χ4188-8-800000000000042−4200000000000000000000000000
χ4288-8-8000000000000−424200000000000000000000000000
χ438-88-8000000000042−420000000000000000000000000000
χ448-88-80000000000−42420000000000000000000000000000

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