Finite Group Databasebeta

← Group #478822

Character table — Group #478822

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222222222222888816161616161616161616161616161616161616161616161616161616
order12222222224444444488882244444444444488888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1111-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1111-11-1-1-1-1-1-111-1-11111-1-1-1-1-1-1
χ4111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1
χ61111111111111111111111-1-11-1-1-11-111-1-11111-1-1-1-111-1-1-1-111
χ71111111111111111111111-1-1-11-1-1-11-1-11111-1-11111-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1
χ9111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-11111-1-111
χ10111111111111111111-1-1-1-1111-1-1-11-1-1-1-1-111111111-1-1-1-111-1-1
χ11111111111111111111-1-1-1-111-11-1-1-11111111-1-1-1-1-1-111-1-111-1-1
χ12111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-1-111-1-111
χ13111111111111111111-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-111-1-1-1-1
χ14111111111111111111-1-1-1-1-1-11-1111-1-1-111-1-1-1-1-1-11111-1-11111
χ15111111111111111111-1-1-1-1-1-1-1111-1111-1-1-1-11111-1-1-1-1-1-11111
χ16111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111111111-1-1-1-1
χ172222222222-2-2-2-2-2-2-2-2000000000000002-20000002i−2i0000002i−2i
χ182222222222-2-2-2-2-2-2-2-2000000000000002-2000000−2i2i000000−2i2i
χ192222222222-2-2-2-2-2-2-2-200000000000000-220000002i−2i000000−2i2i
χ202222222222-2-2-2-2-2-2-2-200000000000000-22000000−2i2i0000002i−2i
χ21222222-2-2-2-222-22-22-2-200000002000-22i−2i000000000000002i−2i00
χ22222222-2-2-2-222-22-22-2-200000002000-2−2i2i00000000000000−2i2i00
χ23222222-2-2-2-222-22-22-2-20000000-200022i−2i00000000000000−2i2i00
χ24222222-2-2-2-222-22-22-2-20000000-20002−2i2i000000000000002i−2i00
χ252222-2-2-222-22-2-2-2222-200002-22000-20000000002-20000000000
χ262222-2-2-222-22-2-2-2222-200002-2-20002000000000-220000000000
χ272222-2-2-222-22-2-2-2222-20000-222000-2000000000-220000000000
χ282222-2-2-222-22-2-2-2222-20000-22-200020000000002-20000000000
χ2922-2-22-222-2-22-2-22-2-2222i2i−2i−2i000000000000002-200002i−2i000000
χ3022-2-22-222-2-22-2-22-2-2222i2i−2i−2i00000000000000-220000−2i2i000000
χ3122-2-22-222-2-22-2-22-2-222−2i−2i2i2i000000000000002-20000−2i2i000000
χ3222-2-22-222-2-22-2-22-2-222−2i−2i2i2i00000000000000-2200002i−2i000000
χ3322-2-2-222-22-2-2-222-222-2000000002i−2i0000002i−2i000000002-20000
χ3422-2-2-222-22-2-2-222-222-2000000002i−2i000000−2i2i00000000-220000
χ3522-2-2-222-22-2-2-222-222-200000000−2i2i0000002i−2i00000000-220000
χ3622-2-2-222-22-2-2-222-222-200000000−2i2i000000−2i2i000000002-20000
χ37444444-4-4-4-4-4-44-44-44400000000000000000000000000000000
χ384444-4-44-4-444-44-4-44-4400000000000000000000000000000000
χ394444-4-44-4-44-44-444-44-400000000000000000000000000000000
χ404444-4-4-444-4-4444-4-4-4400000000000000000000000000000000
χ4144-4-44-444-4-4-444-444-4-400000000000000000000000000000000
χ4244-4-44-4-4-4444-4444-4-4-400000000000000000000000000000000
χ4344-4-44-4-4-444-44-4-4-444400000000000000000000000000000000
χ4444-4-4-444-44-444-4-44-4-4400000000000000000000000000000000
χ4544-4-4-44-44-44444-4-4-44-400000000000000000000000000000000
χ4644-4-4-44-44-44-4-4-4444-4400000000000000000000000000000000
χ478-88-8000000000000002i2−2i22i2−2i20000000000000000000000000000
χ488-88-800000000000000−2i22i2−2i22i20000000000000000000000000000
χ498-8-880000000000000022−22−22220000000000000000000000000000
χ508-8-8800000000000000−222222−220000000000000000000000000000

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