Finite Group Databasebeta

← Group #103409

Character table — Group #103409

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111112222444444448816161616161616161616161616161616161616161616161616161616
order12222222222244444444442222444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ51111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ9222222222222222-2-2-2-22-2-20000002200-2-20000000000000000
χ10222222222222222-2-2-2-22-2-2000000-2-200220000000000000000
χ11222222222222-2-2-222-2-2-22-200000000000022-2-2000000000000
χ12222222222222-2-2-222-2-2-22-2000000000000-2-222000000000000
χ13222222222222-2-2-2-2-222-2-2200220000-2-2000000000000000000
χ14222222222222-2-2-2-2-222-2-2200-2-2000022000000000000000000
χ1522222222-2-2-2-222-22222-2-2-2000000000000000022-2-200000000
χ1622222222-2-2-2-222-22222-2-2-20000000000000000-2-22200000000
χ1722222222-2-2-2-222-2-2-2-2-2-222000000000000000000002i2i−2i−2i0000
χ1822222222-2-2-2-222-2-2-2-2-2-22200000000000000000000−2i−2i2i2i0000
χ1922222222-2-2-2-2-2-2222-2-22-2200000000000000000000000022-2-2
χ2022222222-2-2-2-2-2-2222-2-22-22000000000000000000000000-2-222
χ2122222222-2-2-2-2-2-22-2-22222-22200-2-20000000000000000000000
χ2222222222-2-2-2-2-2-22-2-22222-2-2-200220000000000000000000000
χ2322-2-2-22-2222-2-22-220000-2000000002i−2i000000002−22−2i2−i2i2−i20000
χ2422-2-2-22-2222-2-22-220000-2000000002i−2i00000000−22−22−i2i2−i2i20000
χ2522-2-2-22-2222-2-22-220000-200000000−2i2i000000002−22−2−i2i2−i2i20000
χ2622-2-2-22-2222-2-22-220000-200000000−2i2i00000000−22−22i2−i2i2−i20000
χ2722-2-2-22-22-2-2222-2-2000020000000000002-200002−2−222−2−220000
χ2822-2-2-22-22-2-2222-2-2000020000000000002-20000−222−2−222−20000
χ2922-2-2-22-22-2-2222-2-200002000000000000-2200002−2−22−222−20000
χ3022-2-2-22-22-2-2222-2-200002000000000000-220000−222−22−2−220000
χ31444-4-4-44-400000004i−4i00000002-200002i−2i000000000000000000
χ32444-4-4-44-400000004i−4i0000000-220000−2i2i000000000000000000
χ33444-4-4-44-40000000−4i4i00000002-20000−2i2i000000000000000000
χ34444-4-4-44-40000000−4i4i0000000-2200002i−2i000000000000000000
χ3544-4-4-44-4444-4-4-44-400004000000000000000000000000000000
χ3644-4-4-44-44-4-444-4440000-4000000000000000000000000000000
χ374-444-44-4-44-44-400000000000000000000000000000000002i−2i2i−2i
χ384-444-44-4-44-44-40000000000000000000000000000000000−2i2i−2i2i
χ394-444-44-4-4-44-4400000000000000000000000000000000002i−2i−2i2i
χ404-444-44-4-4-44-440000000000000000000000000000000000−2i2i2i−2i
χ414-4-44-4-4440000000004-40000000000000002-22-2000000000000
χ424-4-44-4-4440000000004-4000000000000000-22-22000000000000
χ434-4-44-4-444000000000-440000000000000002-2-22000000000000
χ444-4-44-4-444000000000-44000000000000000-222-2000000000000
χ454-4-4-4444-44-4-4400000000002-2002-20000000000000000000000
χ464-4-4-4444-44-4-440000000000-2200-220000000000000000000000
χ474-4-4-4444-4-444-400000000002-200-220000000000000000000000
χ484-4-4-4444-4-444-40000000000-22002-20000000000000000000000
χ4988-888-8-8-8000000000000000000000000000000000000000000
χ508-88-88-8-88000000000000000000000000000000000000000000

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