Finite Group Databasebeta

← Group #141159

Character table — Group #141159

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222444444444444888888881616161616161616161616161616161632323232
order12222244442244444488884488888844448888888888884444
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1
χ6111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11
χ7111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11
χ8111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1
χ91111111111-1-1-1-1-1-1-1-111111111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i11-1-1
χ101111111111-1-1-1-1-1-1-1-111111111-1-1-1-1ii−i−iii−i−i−i−iii−i−iii-1-111
χ111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1−i−iii−i−iiiii−i−iii−i−i-1-111
χ121111111111-1-1-1-1-1-1-1-111111111-1-1-1-1−i−iii−i−iii−i−iii−i−iii11-1-1
χ131111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111ii−i−i−i−iiiii−i−i−i−iii1-1-11
χ141111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111ii−i−i−i−iii−i−iiiii−i−i-111-1
χ151111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111−i−iiiii−i−iii−i−i−i−iii-111-1
χ161111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111−i−iiiii−i−i−i−iiiii−i−i1-1-11
χ172222222222222-2-22-2-22222-2-2-2-222-2-200000000000000000000
χ182222222222222-2-22-2-2-2-2-2-2-2-222-2-22200000000000000000000
χ192222222222-2-2-222-2222222-2-2-2-2-2-22200000000000000000000
χ202222222222-2-2-222-222-2-2-2-2-2-22222-2-200000000000000000000
χ21222222-2-2-2-222-222-2-2-200002-200000000002i−2i2i−2i000000000000
χ22222222-2-2-2-222-222-2-2-200002-20000000000−2i2i−2i2i000000000000
χ23222222-2-2-2-222-2-2-2-2220000-220000002-22-20000000000000000
χ24222222-2-2-2-222-2-2-2-2220000-22000000-22-220000000000000000
χ25222222-2-2-2-2-2-22222-2-20000-220000002i−2i−2i2i0000000000000000
χ26222222-2-2-2-2-2-22222-2-20000-22000000−2i2i2i−2i0000000000000000
χ27222222-2-2-2-2-2-22-2-222200002-200000000002-2-22000000000000
χ28222222-2-2-2-2-2-22-2-222200002-20000000000-222-2000000000000
χ2922-2-22-22-22-22-2200-2000000002-2002-2000000002−22−22−22−20000
χ3022-2-22-22-22-22-2200-2000000002-2002-200000000−22−22−22−220000
χ3122-2-22-22-22-22-2200-200000000-2200-22000000002−22−2−22−220000
χ3222-2-22-22-22-22-2200-200000000-2200-2200000000−22−222−22−20000
χ3322-2-22-22-22-2-22-2002000000002-200-2200000000i2−i2−i2i2i2−i2−i2i20000
χ3422-2-22-22-22-2-22-2002000000002-200-2200000000−i2i2i2−i2−i2i2i2−i20000
χ3522-2-22-22-22-2-22-200200000000-22002-200000000i2−i2−i2i2−i2i2i2−i20000
χ3622-2-22-22-22-2-22-200200000000-22002-200000000−i2i2i2−i2i2−i2−i2i20000
χ374444-4-444-4-400000000000000004i−4i0000000000000000000000
χ384444-4-444-4-40000000000000000−4i4i0000000000000000000000
χ394444-4-4-4-4440000000044-4-40000000000000000000000000000
χ404444-4-4-4-44400000000-4-4440000000000000000000000000000
χ4144-4-44-4-44-444-4-40040000000000000000000000000000000000
χ4244-4-44-4-44-44-44400-40000000000000000000000000000000000
χ4344-4-4-444-4-440004i−4i04i−4i00000000000000000000000000000000
χ4444-4-4-444-4-44000−4i4i0−4i4i00000000000000000000000000000000
χ4544-4-4-44-444-40004i−4i0−4i4i00000000000000000000000000000000
χ4644-4-4-44-444-4000−4i4i04i−4i00000000000000000000000000000000
χ478-88-800000000000000004i2−4i20000000000000000000000000000
χ488-88-80000000000000000−4i24i20000000000000000000000000000
χ498-8-88000000000000004i2−4i2000000000000000000000000000000
χ508-8-8800000000000000−4i24i2000000000000000000000000000000

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