Finite Group Databasebeta

← Group #102734

Character table — Group #102734

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111122224444444488888888881616161616161616161616161616161632323232
order12222222444422444444444444444444448888888888884444
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ61111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ922222222222222-222-2-2-2-2-200000000000022-2-2000000000000
χ1022222222222222-222-2-2-2-2-2000000000000-2-222000000000000
χ11222222222222-2-22-2-2-22-2-22000000000000000000000000002-2
χ12222222222222-2-22-2-2-22-2-2200000000000000000000000000-22
χ13222222222222-2-2-2-2-22-222-20000000000000000000000002-200
χ14222222222222-2-2-2-2-22-222-2000000000000000000000000-2200
χ1522222222-2-2-2-2222-2-2-22-22-2000000000000000022-2-200000000
χ1622222222-2-2-2-2222-2-2-22-22-20000000000000000-2-22200000000
χ1722222222-2-2-2-222-2-2-22-22-220000000000000000000022-2-20000
χ1822222222-2-2-2-222-2-2-22-22-2200000000000000000000-2-2220000
χ1922222222-2-2-2-2-2-2222222-2-20000000022-2-20000000000000000
χ2022222222-2-2-2-2-2-2222222-2-200000000-2-2220000000000000000
χ2122222222-2-2-2-2-2-2-222-2-2-2222i2i2i2i−2i−2i−2i−2i00000000000000000000
χ2222222222-2-2-2-2-2-2-222-2-2-222−2i−2i−2i−2i2i2i2i2i00000000000000000000
χ2322-22-22-2-22-22-2-2202-200000000000000000002i−2i2−22−2i2−i2i2−i20000
χ2422-22-22-2-22-22-2-2202-200000000000000000002i−2i−22−22−i2i2−i2i20000
χ2522-22-22-2-22-22-2-2202-20000000000000000000−2i2i2−22−2−i2i2−i2i20000
χ2622-22-22-2-22-22-2-2202-20000000000000000000−2i2i−22−22i2−i2i2−i20000
χ2722-22-22-2-2-22-22-220-22000000000000000002i−2i002−2−22i2−i2−i2i20000
χ2822-22-22-2-2-22-22-220-22000000000000000002i−2i00−222−2−i2i2i2−i20000
χ2922-22-22-2-2-22-22-220-2200000000000000000−2i2i002−2−22−i2i2i2−i20000
χ3022-22-22-2-2-22-22-220-2200000000000000000−2i2i00−222−2i2−i2−i2i20000
χ31444-4-4-4-440000004000-400022-2-222-2-200000000000000000000
χ32444-4-4-4-440000004000-4000-2-222-2-22200000000000000000000
χ33444-4-4-4-44000000-400040002i2i−2i−2i−2i−2i2i2i00000000000000000000
χ34444-4-4-4-44000000-40004000−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ3544-44-44-4-44-44-44-40-44000000000000000000000000000000000
χ3644-44-44-4-4-44-444-404-4000000000000000000000000000000000
χ374-44-4-444-44-4-440000000000000000002i−2i2i−2i0000000000000000
χ384-44-4-444-44-4-44000000000000000000−2i2i−2i2i0000000000000000
χ394-44-4-444-4-444-40000000000000000002i−2i−2i2i0000000000000000
χ404-44-4-444-4-444-4000000000000000000−2i2i2i−2i0000000000000000
χ414-4-44-4-44400000000040-4002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ424-4-44-4-44400000000040-400−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ434-4-44-4-444000000000-404002-22-2-22-2200000000000000000000
χ444-4-44-4-444000000000-40400-22-222-22-200000000000000000000
χ454-4-4-444-4444-4-400000000002i−2i−2i2i2i−2i−2i2i00000000000000000000
χ464-4-4-444-4444-4-40000000000−2i2i2i−2i−2i2i2i−2i00000000000000000000
χ474-4-4-444-44-4-44400000000002-2-22-222-200000000000000000000
χ484-4-4-444-44-4-4440000000000-222-22-2-2200000000000000000000
χ4988-8-88-88-8000000000000000000000000000000000000000000
χ508-8888-8-8-8000000000000000000000000000000000000000000

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