Finite Group Databasebeta

← Group #476443

Character table — Group #476443

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222222222222888816161616161616161616161616161616161616161616161616161616
order12442222222444444488882244444444888888888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ311111111111111111111111-11-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-111
χ411111111111111111111111-11-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1
χ51111111111111111111111-11-11-1-11111-1-1-1-111-1-111-1-1-1-1-1-111
χ61111111111111111111111-11-11-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ9111111111111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1
χ10111111111111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-111-1-111
χ11111111111111111111-1-1-1-11-11-1-1-11111111111-1-1-1-1-1-1-1-111-1-1
χ12111111111111111111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-111111111-1-11111
χ13111111111111111111-1-1-1-1-11-111111-1-1-1-111-1-11111-1-1-1-111-1-1
χ14111111111111111111-1-1-1-1-11-1111-1-11111-1-1-1-1-1-1-1-111-1-11111
χ15111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1
χ16111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-111-1-111
χ172222222-2-2-2-22-2-2-222-2000000002i−2i002i−2i00000000002-2000000
χ182222222-2-2-2-22-2-2-222-2000000002i−2i00−2i2i0000000000-22000000
χ192222222-2-2-2-22-2-2-222-200000000−2i2i002i−2i0000000000-22000000
χ202222222-2-2-2-22-2-2-222-200000000−2i2i00−2i2i00000000002-2000000
χ2122-2-2222-2-2-2-2-2222-2-22000000000000002i−2i0000002i−2i002-20000
χ2222-2-2222-2-2-2-2-2222-2-22000000000000002i−2i000000−2i2i00-220000
χ2322-2-2222-2-2-2-2-2222-2-2200000000000000−2i2i0000002i−2i00-220000
χ2422-2-2222-2-2-2-2-2222-2-2200000000000000−2i2i000000−2i2i002-20000
χ2522-2-22-2-22-22-22-2222-2-222-2-20000002i−2i0000000000000000002i−2i
χ2622-2-22-2-22-22-22-2222-2-222-2-2000000−2i2i000000000000000000−2i2i
χ2722-2-22-2-22-22-22-2222-2-2-2-2220000002i−2i000000000000000000−2i2i
χ2822-2-22-2-22-22-22-2222-2-2-2-222000000−2i2i0000000000000000002i−2i
χ2922-2-2-22-2-222-2-2-22-2222000020-2000000000002-2000000002-200
χ3022-2-2-22-2-222-2-2-22-2222000020-200000000000-2200000000-2200
χ3122-2-2-22-2-222-2-2-22-22220000-202000000000002-200000000-2200
χ3222-2-2-22-2-222-2-2-22-22220000-20200000000000-22000000002-200
χ3322-2-2-2-22-2-2222-2-22-2220000020-2000000002-2002-20000000000
χ3422-2-2-2-22-2-2222-2-22-2220000020-200000000-2200-220000000000
χ3522-2-2-2-22-2-2222-2-22-22200000-202000000002-200-220000000000
χ3622-2-2-2-22-2-2222-2-22-22200000-20200000000-22002-20000000000
χ3744444-4-44-44-4-44-4-4-44400000000000000000000000000000000
χ3844444-4-4-44-44-4-444-44-400000000000000000000000000000000
χ394444-44-44-4-444-44-4-4-4400000000000000000000000000000000
χ404444-44-4-444-444-44-4-4-400000000000000000000000000000000
χ414444-4-4444-4-4-4-4-444-4400000000000000000000000000000000
χ424444-4-44-4-444-444-44-4-400000000000000000000000000000000
χ4344-4-44444444-4-4-4-4-4-4-400000000000000000000000000000000
χ4444-4-44-4-4-44-4444-4-44-4400000000000000000000000000000000
χ4544-4-4-44-44-4-44-44-4444-400000000000000000000000000000000
χ4644-4-4-4-4444-4-4444-4-44-400000000000000000000000000000000
χ478-88i−8i000000000000002i2−2i222−220000000000000000000000000000
χ488-88i−8i00000000000000−2i22i2−22220000000000000000000000000000
χ498-8−8i8i000000000000002i2−2i2−22220000000000000000000000000000
χ508-8−8i8i00000000000000−2i22i222−220000000000000000000000000000

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