Finite Group Databasebeta

← Group #179463

Character table — Group #179463

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222224444444444488888888222222244444444488888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1-1-1111-1-1-1-11-1-11111-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11111
χ5111111111111111111111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-11-1-1-1-1-1-11111
χ6111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1111111-1-1-1-1
χ7111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-111111111
χ911111111-1-1-1-1-1-1111111-11111-1-1-1-111-1-11-111-1111-1-1-1-111-1-111-1-1
χ1011111111-1-1-1-1-1-1111111-11111-1-1-1-111-1-11-1-1-11-1-11-1111-1-111-1-111
χ1111111111-1-1-1-1-1-1111111-11111-1-1-1-1-1-111-1111-1-1-1-11-11111-1-1-1-111
χ1211111111-1-1-1-1-1-1111111-11111-1-1-1-1-1-111-11-1-1111-111-1-1-1-11111-1-1
χ1311111111-1-1-1-1-1-1111111-1-1-1-1-1111111-1-1-1111-1-1-1-11-111-1-11111-1-1
χ1411111111-1-1-1-1-1-1111111-1-1-1-1-1111111-1-1-11-1-1111-111-1-111-1-1-1-111
χ1511111111-1-1-1-1-1-1111111-1-1-1-1-11111-1-1111-111-1111-1-1-1-1-1-111-1-111
χ1611111111-1-1-1-1-1-1111111-1-1-1-1-11111-1-1111-1-1-11-1-11-111111-1-111-1-1
χ17222222222222-2-2-2-222-2-2-2000000000000000002-20002-200000000
χ18222222222222-2-2-2-222-2-2-200000000000000000-22000-2200000000
χ192222222222-2-222-2-2-2-222-2000000000000002-220000-20000000000
χ202222222222-2-222-2-2-2-222-200000000000000-22-2000020000000000
χ212222222222-2-2-2-222-2-2-2-220000000000002-200000-2200000000000
χ222222222222-2-2-2-222-2-2-2-22000000000000-22000002-200000000000
χ2322222222-2-2222222-2-2-2-2-20000000000002200000-2-200000000000
χ2422222222-2-2222222-2-2-2-2-2000000000000-2-2000002200000000000
χ2522222222-2-222-2-2-2-2-2-2222000000000000002-2-2000020000000000
χ2622222222-2-222-2-2-2-2-2-222200000000000000-2220000-20000000000
χ2722222222-2-2-2-222-2-222-2-22000000000000000002-2000-2200000000
χ2822222222-2-2-2-222-2-222-2-2200000000000000000-220002-200000000
χ294444-4-4-4-40000004-400000000000000000000000000000002i2−2i20000
χ304444-4-4-4-40000004-40000000000000000000000000000000−2i22i20000
χ314444-4-4-4-4000000-44000000000000000000000000000002i2−2i2000000
χ324444-4-4-4-4000000-4400000000000000000000000000000−2i22i2000000
χ3344-4-4-4-44400000000004-4000002222−22−22000000000000000000000000
χ3444-4-4-4-44400000000004-400000−22−222222000000000000000000000000
χ3544-4-4-4-4440000000000-4402222−22−220000000000000000000000000000
χ3644-4-4-4-4440000000000-440−22−2222220000000000000000000000000000
χ374-44-44-44-4000000004-4000000022−2222−22000000000000000000000000
χ384-44-44-44-4000000004-40000000−2222−2222000000000000000000000000
χ394-44-44-44-400000000-4400022−2222−220000000000000000000000000000
χ404-44-44-44-400000000-44000−2222−22220000000000000000000000000000
χ414-44-4-44-4400004-4000000000000000000000000000000000002-22-2
χ424-44-4-44-4400004-400000000000000000000000000000000000-22-22
χ434-44-4-44-440000-44000000000000000000000000000000000002-2-22
χ444-44-4-44-440000-4400000000000000000000000000000000000-222-2
χ454-4-444-4-44004-4000000000000000002-22-200000000000000000000
χ464-4-444-4-44004-400000000000000000-22-2200000000000000000000
χ474-4-444-4-4400-44000000000000000002-2-2200000000000000000000
χ484-4-444-4-4400-4400000000000000000-222-200000000000000000000
χ494-4-44-444-44-4000000000002-2-222-2-22000000000000000000000000
χ504-4-44-444-44-400000000000-222-2-222-2000000000000000000000000
χ514-4-44-444-4-44000000000002-2-22-222-2000000000000000000000000
χ524-4-44-444-4-4400000000000-222-22-2-22000000000000000000000000
χ5388-8-888-8-8000000000000000000000000000000000000000000000

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