Finite Group Databasebeta

← Group #180428

Character table — Group #180428

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444444888888882224444444448888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111-1-1111-1-1-1-1-11-1-1-1-1-11111-1-1
χ41111111111111111111111111111-1-1-1-1-11-1-111-11-1-1-1-1-1-1-1-111
χ511111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-11-11111-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1111111111-1-1
χ911111111-1-1-1-1111111-1-11111-1-1-1-11-11-1111-1-1-1-1111-1-111-1-11-1
χ1011111111-1-1-1-1111111-1-11111-1-1-1-11-1-11-1-11-1111-111-1-1-1-111-11
χ1111111111-1-1-1-1111111-1-11111-1-1-1-1-111-11-1-1111-1-1-1-11111-1-1-11
χ1211111111-1-1-1-1111111-1-11111-1-1-1-1-11-11-11-11-1-111-1-111-1-1111-1
χ1311111111-1-1-1-1111111-1-1-1-1-1-111111-11-1111-1-1-1-11-1-111-1-111-11
χ1411111111-1-1-1-1111111-1-1-1-1-1-111111-1-11-1-11-1111-1-1-11111-1-11-1
χ1511111111-1-1-1-1111111-1-1-1-1-1-11111-111-11-1-1111-1-111-1-1-1-1111-1
χ1611111111-1-1-1-1111111-1-1-1-1-1-11111-11-11-11-11-1-11111-1-111-1-1-11
χ17222222222222-2-222-2-2-2-200000000000002002-20-20000000000
χ18222222222222-2-222-2-2-2-20000000000000-200-22020000000000
χ192222222222-2-22-2-2-22-22-2000000000022-200000-200000000000
χ202222222222-2-22-2-2-22-22-20000000000-2-2200000200000000000
χ212222222222-2-2-22-2-2-22-2200000000220000-2-200000000000000
χ222222222222-2-2-22-2-2-22-2200000000-2-200002200000000000000
χ2322222222-2-2222-2-2-22-2-2200000000002-2-200000200000000000
χ2422222222-2-2222-2-2-22-2-220000000000-22200000-200000000000
χ2522222222-2-222-22-2-2-222-2000000002-20000-2200000000000000
χ2622222222-2-222-22-2-2-222-200000000-2200002-200000000000000
χ2722222222-2-2-2-2-2-222-2-2220000000000000200-220-20000000000
χ2822222222-2-2-2-2-2-222-2-2220000000000000-2002-2020000000000
χ294444-4-4-4-44-4000000000022-2-222-2-20000000000000000000000
χ304444-4-4-4-44-40000000000-2-222-2-2220000000000000000000000
χ314444-4-4-4-4-44000000000022-2-2-2-2220000000000000000000000
χ324444-4-4-4-4-440000000000-2-22222-2-20000000000000000000000
χ3344-4-444-4-4004i−4i00000000000000000000000000002-22i−2i000000
χ3444-4-444-4-4004i−4i0000000000000000000000000000-22−2i2i000000
χ3544-4-444-4-400−4i4i00000000000000000000000000002-2−2i2i000000
χ3644-4-444-4-400−4i4i0000000000000000000000000000-222i−2i000000
χ374-44-44-44-40000004-40000000000000000000000000000002i2−2i200
χ384-44-44-44-40000004-4000000000000000000000000000000−2i22i200
χ394-44-44-44-4000000-4400000000000000000000000000002i2−2i20000
χ404-44-44-44-4000000-440000000000000000000000000000−2i22i20000
χ414-4-444-4-44000004000-4002i2−2i22i2−2i200000000000000000000000000
χ424-4-444-4-44000004000-400−2i22i2−2i22i200000000000000000000000000
χ434-4-444-4-4400000-4000400000022−2222−220000000000000000000000
χ444-4-444-4-4400000-40004000000−2222−22220000000000000000000000
χ454-4-44-444-400004000-40002i2−2i2−2i22i200000000000000000000000000
χ464-4-44-444-400004000-4000−2i22i22i2−2i200000000000000000000000000
χ474-4-44-444-40000-40004000000022−22−22220000000000000000000000
χ484-4-44-444-40000-400040000000−222222−220000000000000000000000
χ4988-8-8-8-888000000000000000000000000000000000000000000
χ508-88-8-88-88000000000000000000000000000000000000000000

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