Finite Group Databasebeta

← Group #180266

Character table — Group #180266

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444424888888882444444444448888888844
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1
χ31111111111111111111111111111-1-1-111-1-11-1-11-11111-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-111-11-1-11-1-1-1-1-1-1-1-111
χ511111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-1-11111-1-1-1-111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11-1-1-1-1-1111111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1111111111-1-1
χ911111111-1-11-1-111111-1-11111-1-1-1-111-1111-1-1-1-1-1111-1-111-1-11-1
χ1011111111-1-11-1-111111-1-11111-1-1-1-111-1-1-1-1111-11-1-1-11111-1-1-11
χ1111111111-1-11-1-111111-1-11111-1-1-1-1-1-1111-11-111-1-111-1-1-1-111-11
χ1211111111-1-11-1-111111-1-11111-1-1-1-1-1-11-1-11-11-1111-1-111-1-1111-1
χ1311111111-1-11-1-111111-1-1-1-1-1-1111111-1111-1-1-1-1-11-1-111-1-111-11
χ1411111111-1-11-1-111111-1-1-1-1-1-1111111-1-1-1-1111-11-111-1-1-1-1111-1
χ1511111111-1-11-1-111111-1-1-1-1-1-11111-1-1111-11-111-1-1-1-11111-1-11-1
χ1611111111-1-11-1-111111-1-1-1-1-1-11111-1-11-1-11-11-111111-1-111-1-1-11
χ1722222222222-2-2-2-2-2-22-22000000000002-200200-200000000000
χ1822222222222-2-2-2-2-2-22-2200000000000-2200-200200000000000
χ192222222222-22222-2-2-2-2-20000000000000220-200-20000000000
χ202222222222-22222-2-2-2-2-20000000000000-2-2020020000000000
χ212222222222-2-2-2-2-222-22-2000000002-2-20000002000000000000
χ222222222222-2-2-2-2-222-22-200000000-222000000-2000000000000
χ2322222222-2-2222-2-2-2-222-2000000000002-200-200200000000000
χ2422222222-2-2222-2-2-2-222-200000000000-2200200-200000000000
χ2522222222-2-2-222-2-222-2-22000000002-22000000-2000000000000
χ2622222222-2-2-222-2-222-2-2200000000-22-20000002000000000000
χ2722222222-2-2-2-2-222-2-2-22200000000000002-20200-20000000000
χ2822222222-2-2-2-2-222-2-2-2220000000000000-220-20020000000000
χ294444-4-4-4-400000004-400000002222−22−220000000000000000000000
χ304444-4-4-4-400000004-40000000−22−2222220000000000000000000000
χ314444-4-4-4-40000000-440002222−22−2200000000000000000000000000
χ324444-4-4-4-40000000-44000−22−22222200000000000000000000000000
χ3344-4-444-4-4000004-40000000000000000000000000000022−220000
χ3444-4-444-4-4000004-400000000000000000000000000000−22220000
χ3544-4-444-4-400000-44000000000000000000000000000000022−2200
χ3644-4-444-4-400000-440000000000000000000000000000000−222200
χ374-44-44-44-40004i−4i0000000000000000000000000002-22i−2i000000
χ384-44-44-44-40004i−4i000000000000000000000000000-22−2i2i000000
χ394-44-44-44-4000−4i4i0000000000000000000000000002-2−2i2i000000
χ404-44-44-44-4000−4i4i000000000000000000000000000-222i−2i000000
χ414-4-444-4-44004000000-4002i2−2i22i2−2i200000000000000000000000000
χ424-4-444-4-44004000000-400−2i22i2−2i22i200000000000000000000000000
χ434-4-444-4-4400-4000000400000022−2222−220000000000000000000000
χ444-4-444-4-4400-40000004000000−2222−22220000000000000000000000
χ454-4-44-444-44i−4i00000000002i−2i−2i2i2-2-220000000000000000000000
χ464-4-44-444-44i−4i0000000000−2i2i2i−2i-222-20000000000000000000000
χ474-4-44-444-4−4i4i00000000002i−2i−2i2i-222-20000000000000000000000
χ484-4-44-444-4−4i4i0000000000−2i2i2i−2i2-2-220000000000000000000000
χ4988-8-8-8-888000000000000000000000000000000000000000000
χ508-88-8-88-88000000000000000000000000000000000000000000

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