Finite Group Databasebeta

← Group #476488

Character table — Group #476488

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222222222222888816161616161616161616161616161616161616161616161616161616
order12442222222444444444442224444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-111-111-1-111-1-1-1-111-1-1-1-1-1-111-1-1
χ311111111111111111111111-111-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111-1-11-1-1-1-11111-1-111-1-1-1-1-1-111-1-111
χ51111111111111111111111-111-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ61111111111111111111111-11-1-11-1-1-111-1-1111111-1-111-1-1-1-1-1-1
χ71111111111111111111111-1-11-1-111111-1-1-1-111-1-111-1-1-1-111-1-1
χ81111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111
χ9111111111111111111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1
χ10111111111111111111-1-1-1-111-111-1-1-1-1-1-1-1-1-111-1-11111-1-11111
χ11111111111111111111-1-1-1-11-111-1111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ12111111111111111111-1-1-1-11-1-11-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ13111111111111111111-1-1-1-1-111-11111-1-111-1-111-1-1-1-11111-1-1-1-1
χ14111111111111111111-1-1-1-1-11-1-11-111111111-1-1-1-111-1-1-1-1-1-111
χ15111111111111111111-1-1-1-1-1-11-1-11-1-11111-1-1-1-111-1-111-1-11111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1
χ1722222-2-22-22-2222-2-2-2-200000000000000002-22i−2i2i−2i0000000000
χ1822222-2-22-22-2222-2-2-2-200000000000000002-2−2i2i−2i2i0000000000
χ1922222-2-22-22-2222-2-2-2-20000000000000000-222i−2i−2i2i0000000000
χ2022222-2-22-22-2222-2-2-2-20000000000000000-22−2i2i2i−2i0000000000
χ2122-2-2222-2-2-2-22-222-2-2200000200-202i−2i002i−2i0000000000000000
χ2222-2-2222-2-2-2-22-222-2-2200000200-20−2i2i00−2i2i0000000000000000
χ2322-2-2222-2-2-2-22-222-2-2200000-200202i−2i00−2i2i0000000000000000
χ2422-2-2222-2-2-2-22-222-2-2200000-20020−2i2i002i−2i0000000000000000
χ2522-2-22-2-22-22-2-2-2-22222000000200-2002-2000000000000002-200
χ2622-2-22-2-22-22-2-2-2-22222000000200-200-2200000000000000-2200
χ2722-2-22-2-22-22-2-2-2-22222000000-2002002-200000000000000-2200
χ2822-2-22-2-22-22-2-2-2-22222000000-200200-22000000000000002-200
χ2922-2-2-22-222-2-222-222-2-22i2i−2i−2i00000000000000000000002-2002i−2i
χ3022-2-2-22-222-2-222-222-2-22i2i−2i−2i0000000000000000000000-2200−2i2i
χ3122-2-2-22-222-2-222-222-2-2−2i−2i2i2i00000000000000000000002-200−2i2i
χ3222-2-2-22-222-2-222-222-2-2−2i−2i2i2i0000000000000000000000-22002i−2i
χ3322-2-2-22-2-2-222-222-22-220000200-2000000000000002-22-2000000
χ3422-2-2-22-2-2-222-222-22-220000200-200000000000000-22-22000000
χ3522-2-2-22-2-2-222-222-22-220000-2002000000000000002-2-22000000
χ3622-2-2-22-2-2-222-222-22-220000-200200000000000000-222-2000000
χ374444444-4-4-4-4-44-4-444-400000000000000000000000000000000
χ3844444-4-4-44-44-44-44-4-4400000000000000000000000000000000
χ394444-44-444-4-4-4-44-4-44400000000000000000000000000000000
χ404444-44-4-4-4444-4-44-44-400000000000000000000000000000000
χ414444-4-444-4-44-4-4444-4-400000000000000000000000000000000
χ424444-4-44-444-44-4-4-44-4400000000000000000000000000000000
χ4344-4-44444444-4-4-4-4-4-4-400000000000000000000000000000000
χ4444-4-44-4-4-44-444-44-444-400000000000000000000000000000000
χ4544-4-4-4-444-4-4444-4-4-44400000000000000000000000000000000
χ4644-4-4-4-44-444-4-4444-44-400000000000000000000000000000000
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).