Finite Group Databasebeta

← Group #329054

Character table — Group #329054

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111112222444444448816161616161616161616161616161616161616161616161616161616
order12222222222244444444442244444444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-11-1-1-1-11111-1-1-111-1-1-1-11111-1-1-1-1
χ411111111111111111111111-11-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111111-11-11-1-1111-1-11-1-1111111-1-1-1-1-1-1-1-1
χ61111111111111111111111-11-11-1-11-1-1-1-11-1-1-1-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-111-111-1-1-11111-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-111111111-1-1-1-1
χ9111111111111-1-111-1-111-1-11111-1-1-111-1-1-111-1-111-1-111-1-111-1-1
χ10111111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111
χ11111111111111-1-111-1-111-1-11-11-111111-1-11-1-1-1-1-1-11111-1-1-1-111
χ12111111111111-1-111-1-111-1-11-11-1111-1-1-1-11-1-11111-1-1-1-11111-1-1
χ13111111111111-1-111-1-111-1-1-11-1111-11111-1-1-1-1-111-1-1-1-111-1-111
χ14111111111111-1-111-1-111-1-1-11-1111-1-1-111-1-1-111-1-11111-1-111-1-1
χ15111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1
χ16111111111111-1-111-1-111-1-1-1-1-1-1-1-11-1-1111111111-1-111-1-1-1-111
χ1722222222222222-2-2-2-2-2-22-2020-200-2000020000000000000000
χ1822222222222222-2-2-2-2-2-22-20-2020020000-20000000000000000
χ19222222222222-2-2-2-222-2-2-22020-20020000-20000000000000000
χ20222222222222-2-2-2-222-2-2-220-20200-2000020000000000000000
χ2122222222-2-2-2-2222-2222-2-2-220-20000002-200000000000000000
χ2222222222-2-2-2-2222-2222-2-2-2-202000000-2200000000000000000
χ2322222222-2-2-2-222-22-2-2-22-2200002-20000002-200000000000000
χ2422222222-2-2-2-222-22-2-2-22-220000-22000000-2200000000000000
χ2522222222-2-2-2-2-2-22-2-2-22-22220-2000000-2200000000000000000
χ2622222222-2-2-2-2-2-22-2-2-22-222-2020000002-200000000000000000
χ2722222222-2-2-2-2-2-2-2222-222-200002-2000000-2200000000000000
χ2822222222-2-2-2-2-2-2-2222-222-20000-220000002-200000000000000
χ29444-4-44-4-444-4-400000000000000000000000000000022−22000000
χ30444-4-44-4-444-4-4000000000000000000000000000000−2222000000
χ31444-4-44-4-4-4-444000000000000000000000000000000002i2−2i20000
χ32444-4-44-4-4-4-44400000000000000000000000000000000−2i22i20000
χ3344-444-4-4-44-44-4004-400-44000000000000000000000000000000
χ3444-444-4-4-44-44-400-44004-4000000000000000000000000000000
χ3544-444-4-4-4-44-44004400-4-4000000000000000000000000000000
χ3644-444-4-4-4-44-4400-4-40044000000000000000000000000000000
χ3744-4-4-4-4444-4-4400000000000000000000000000000000000022−22
χ3844-4-4-4-4444-4-44000000000000000000000000000000000000−2222
χ3944-4-4-4-444-444-400000000000000000000000000000000002i2−2i200
χ4044-4-4-4-444-444-40000000000000000000000000000000000−2i22i200
χ414-444-4-44-4000000004i−4i000000000000000000002i−2i2-200000000
χ424-444-4-44-4000000004i−4i00000000000000000000−2i2i-2200000000
χ434-444-4-44-400000000−4i4i000000000000000000002i−2i-2200000000
χ444-444-4-44-400000000−4i4i00000000000000000000−2i2i2-200000000
χ454-44-44-4-4400004-40000000000000002i−2i000002i−2i000000000000
χ464-44-44-4-4400004-4000000000000000−2i2i00000−2i2i000000000000
χ474-44-44-4-440000-440000000000000002i−2i00000−2i2i000000000000
χ484-44-44-4-440000-44000000000000000−2i2i000002i−2i000000000000
χ498-8-88-88-88000000000000000000000000000000000000000000
χ508-8-8-8888-8000000000000000000000000000000000000000000

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