Finite Group Databasebeta

← Group #479739

Character table — Group #479739

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222222222222888816161616161616161616161616161616161616161616161616161616
order12222222224444444444442244444444448888888888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-11111-1-111-1-1-1-1-1-111-1-1-1-1
χ4111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111111-1-111-1-1-1-111-1-1-1-11111-1-111-1-111-1-1
χ61111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111
χ71111111111111111111111-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1
χ9111111111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111
χ10111111111111111111-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ11111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ12111111111111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-11111
χ13111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-1
χ14111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-111
χ15111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-111-1-111-1-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111111111-1-1
χ172222222222-2-2-2-2-2-2-2-2000000002-200000000002i−2i000000002i−2i
χ182222222222-2-2-2-2-2-2-2-2000000002-20000000000−2i2i00000000−2i2i
χ192222222222-2-2-2-2-2-2-2-200000000-2200000000002i−2i00000000−2i2i
χ202222222222-2-2-2-2-2-2-2-200000000-220000000000−2i2i000000002i−2i
χ2122222-22-2-2-2222-2-2-22-222-2-200000000002i−2i00000000002i−2i0000
χ2222222-22-2-2-2222-2-2-22-222-2-20000000000−2i2i0000000000−2i2i0000
χ2322222-22-2-2-2222-2-2-22-2-2-22200000000002i−2i0000000000−2i2i0000
χ2422222-22-2-2-2222-2-2-22-2-2-2220000000000−2i2i00000000002i−2i0000
χ252222-22-22-2-22-2222-2-2-20000002-200002i−2i000000000000002i−2i00
χ262222-22-22-2-22-2222-2-2-20000002-20000−2i2i00000000000000−2i2i00
χ272222-22-22-2-22-2222-2-2-2000000-2200002i−2i00000000000000−2i2i00
χ282222-22-22-2-22-2222-2-2-2000000-220000−2i2i000000000000002i−2i00
χ292-2-222-2-222-222-22-2-2-2200000000000000002i−2i2-2002i−2i00000000
χ302-2-222-2-222-222-22-2-2-2200000000000000002i−2i-2200−2i2i00000000
χ312-2-222-2-222-222-22-2-2-220000000000000000−2i2i2-200−2i2i00000000
χ322-2-222-2-222-222-22-2-2-220000000000000000−2i2i-22002i−2i00000000
χ332-2-22-222-22-2-2222-22-2-200002-200002i−2i0000000000002i−2i000000
χ342-2-22-222-22-2-2222-22-2-200002-20000−2i2i000000000000−2i2i000000
χ352-2-22-222-22-2-2222-22-2-20000-2200002i−2i000000000000−2i2i000000
χ362-2-22-222-22-2-2222-22-2-20000-220000−2i2i0000000000002i−2i000000
χ3744444-44-4-4-4-4-4-4444-4400000000000000000000000000000000
χ384444-44-44-4-4-44-4-4-444400000000000000000000000000000000
χ394444-4-4-4-4444-44-4-44-4400000000000000000000000000000000
χ404444-4-4-4-444-44-444-44-400000000000000000000000000000000
χ414-4-4444-4-4-4444-4-444-4-400000000000000000000000000000000
χ424-4-4444-4-4-44-4-444-4-44400000000000000000000000000000000
χ434-4-444-4-444-4-4-44-4444-400000000000000000000000000000000
χ444-4-44-444-44-44-4-4-44-44400000000000000000000000000000000
χ454-4-44-4-444-444-4-44-444-400000000000000000000000000000000
χ464-4-44-4-444-44-444-44-4-4400000000000000000000000000000000
χ4788-8-800000000000000004i−4i0000000000000000000000000000
χ4888-8-80000000000000000−4i4i0000000000000000000000000000
χ498-88-8000000000000004i−4i000000000000000000000000000000
χ508-88-800000000000000−4i4i000000000000000000000000000000

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