Finite Group Databasebeta

← Group #478476

Character table — Group #478476

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222222222222888816161616161616161616161616161616161616161616161616161616
order12222222224444444488882222444444888888888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111
χ71111111111111111111111-1-1-1-1-1-111-1-1111111-1-111-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1
χ9111111111111111111-1-1-1-111-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1
χ10111111111111111111-1-1-1-111-1-111-1-11111-1-111-1-1-1-1-1-1-1-11111
χ11111111111111111111-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-111-1-111
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1
χ13111111111111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-11111
χ14111111111111111111-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-1
χ15111111111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-11111-1-1
χ16111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-11111-1-111
χ17222222-2-2-2-2-22222-2-2-2000000002-20000000000000000002i−2i2i−2i
χ18222222-2-2-2-2-22222-2-2-2000000002-2000000000000000000−2i2i−2i2i
χ19222222-2-2-2-2-22222-2-2-200000000-220000000000000000002i−2i−2i2i
χ20222222-2-2-2-2-22222-2-2-200000000-22000000000000000000−2i2i2i−2i
χ2122-2-22-22-22-2222-2-2-22-200002-200000000002i−2i000000002i−2i0000
χ2222-2-22-22-22-2222-2-2-22-200002-20000000000−2i2i00000000−2i2i0000
χ2322-2-22-22-22-2222-2-2-22-20000-2200000000002i−2i00000000−2i2i0000
χ2422-2-22-22-22-2222-2-2-22-20000-220000000000−2i2i000000002i−2i0000
χ2522-2-22-2-22-222-2-222-22-222-2-20000002i−2i0000002i−2i000000000000
χ2622-2-22-2-22-222-2-222-22-222-2-2000000−2i2i000000−2i2i000000000000
χ2722-2-22-2-22-222-2-222-22-2-2-2220000002i−2i000000−2i2i000000000000
χ2822-2-22-2-22-222-2-222-22-2-2-222000000−2i2i0000002i−2i000000000000
χ2922-2-2-22-2-22222-22-22-2-2000000000000002i−2i00002-2002i−2i000000
χ3022-2-2-22-2-22222-22-22-2-2000000000000002i−2i0000-2200−2i2i000000
χ3122-2-2-22-2-22222-22-22-2-200000000000000−2i2i00002-200−2i2i000000
χ3222-2-2-22-2-22222-22-22-2-200000000000000−2i2i0000-22002i−2i000000
χ3322-2-2-22-2-222-2-22-22-2220000002-200002-2000000002-200000000
χ3422-2-2-22-2-222-2-22-22-2220000002-20000-2200000000-2200000000
χ3522-2-2-22-2-222-2-22-22-222000000-2200002-200000000-2200000000
χ3622-2-2-22-2-222-2-22-22-222000000-220000-22000000002-200000000
χ374444444444-4-4-4-4-4-4-4-400000000000000000000000000000000
χ38444444-4-4-4-44-4-4-4-444400000000000000000000000000000000
χ394444-4-44-4-444-444-4-4-4400000000000000000000000000000000
χ404444-4-44-4-44-44-4-4444-400000000000000000000000000000000
χ414444-4-4-444-444-4-44-4-4400000000000000000000000000000000
χ424444-4-4-444-4-4-444-444-400000000000000000000000000000000
χ4344-4-44-44-44-4-4-4-4444-4400000000000000000000000000000000
χ4444-4-44-4-44-44-444-4-44-4400000000000000000000000000000000
χ4544-4-4-4444-4-44-44-444-4-400000000000000000000000000000000
χ4644-4-4-4444-4-4-44-44-4-44400000000000000000000000000000000
χ478-88-80000000000000022−2222−220000000000000000000000000000
χ488-88-800000000000000−2222−22220000000000000000000000000000
χ498-8-880000000000000022−22−22220000000000000000000000000000
χ508-8-8800000000000000−222222−220000000000000000000000000000

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