Finite Group Databasebeta

← Group #478638

Character table — Group #478638

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222222222222888816161616161616161616161616161616161616161616161616161616
order12442222222444444444442444444444448888888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-11111
χ51111111111111111111111-1-111-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1
χ61111111111111111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111
χ71111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-1111111-1-1
χ9111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-111-1-11111
χ10111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1
χ11111111111111111111-1-1-1-111-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1
χ12111111111111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-111-1-1111111
χ13111111111111111111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-1
χ14111111111111111111-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1-1-1-1-111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1
χ172222-2-2222-2-22-2-2-2-2220000002-2002-200000000000000002-200
χ182222-2-2222-2-22-2-2-2-2220000002-200-220000000000000000-2200
χ192222-2-2222-2-22-2-2-2-222000000-22002-20000000000000000-2200
χ202222-2-2222-2-22-2-2-2-222000000-2200-2200000000000000002-200
χ2122-2-22222222-2-2-2-2-2-2-2000000000000002-200000000002i−2i002i−2i
χ2222-2-22222222-2-2-2-2-2-2-2000000000000002-20000000000−2i2i00−2i2i
χ2322-2-22222222-2-2-2-2-2-2-200000000000000-2200000000002i−2i00−2i2i
χ2422-2-22222222-2-2-2-2-2-2-200000000000000-220000000000−2i2i002i−2i
χ2522-2-2222-2-2-2-2-22-2-22222i2i−2i−2i2-200000000002i−2i00000000000000
χ2622-2-2222-2-2-2-2-22-2-22222i2i−2i−2i-220000000000−2i2i00000000000000
χ2722-2-2222-2-2-2-2-22-2-2222−2i−2i2i2i2-20000000000−2i2i00000000000000
χ2822-2-2222-2-2-2-2-22-2-2222−2i−2i2i2i-2200000000002i−2i00000000000000
χ2922-2-22-2-22-2-222-22-222-2000000000000000000002i−2i2-22i−2i000000
χ3022-2-22-2-22-2-222-22-222-2000000000000000000002i−2i-22−2i2i000000
χ3122-2-22-2-22-2-222-22-222-200000000000000000000−2i2i2-2−2i2i000000
χ3222-2-22-2-22-2-222-22-222-200000000000000000000−2i2i-222i−2i000000
χ3322-2-2-22-2-22-222-2-222-22000000002-2002i−2i00002i−2i000000000000
χ3422-2-2-22-2-22-222-2-222-22000000002-200−2i2i0000−2i2i000000000000
χ3522-2-2-22-2-22-222-2-222-2200000000-22002i−2i0000−2i2i000000000000
χ3622-2-2-22-2-22-222-2-222-2200000000-2200−2i2i00002i−2i000000000000
χ374444444-4-4-4-44-444-4-4-400000000000000000000000000000000
χ3844444-4-44-4-44-44-44-4-4400000000000000000000000000000000
χ3944444-4-4-444-4-4-4-4444-400000000000000000000000000000000
χ404444-44-44-44-4-4-44-44-4400000000000000000000000000000000
χ414444-44-4-44-44-444-4-44-400000000000000000000000000000000
χ424444-4-44-4-44444-4-44-4-400000000000000000000000000000000
χ4344-4-44-4-4-444-4444-4-4-4400000000000000000000000000000000
χ4444-4-4-44-44-44-444-44-44-400000000000000000000000000000000
χ4544-4-4-4-4444-4-4-44444-4-400000000000000000000000000000000
χ4644-4-4-4-44-4-444-4-444-44400000000000000000000000000000000
χ478-88i−8i000000000000002+2i−2−2i2−2i−2+2i0000000000000000000000000000
χ488-88i−8i00000000000000−2−2i2+2i−2+2i2−2i0000000000000000000000000000
χ498-8−8i8i000000000000002−2i−2+2i2+2i−2−2i0000000000000000000000000000
χ508-8−8i8i00000000000000−2+2i2−2i−2−2i2+2i0000000000000000000000000000

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