Finite Group Databasebeta

← Group #476305

Character table — Group #476305

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222222222222888816161616161616161616161616161616161616161616161616161616
order12222222224444444488882222224444444444448888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1111-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-11-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ51111111111111111111111-1-1-1-111-1-111-1-111-1-1-1-1111111-1-1-1-1
χ61111111111111111111111-1-1-1-11-1-1-11-1-1-1-1-1111111-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1111-111111-1-111-1-1-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1111111-1-1
χ9111111111111111111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-111-1-1-1-111
χ10111111111111111111-1-1-1-111-1-11-1111-1-1-111-1-111-1-1-1-11111-1-1
χ11111111111111111111-1-1-1-111-1-1-11-1-1-1111-1-1111111-1-111-1-1-1-1
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111
χ13111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-111-1-1
χ14111111111111111111-1-1-1-1-1-1111-1-1-11-1111111-1-1-1-1-1-111-1-111
χ15111111111111111111-1-1-1-1-1-111-1111-11-1-1-1-1-1-1-1-111-1-1111111
χ16111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1
χ1722222-22-2-2-22222-2-2-2-2000000002000-20002i−2i000000002i−2i0000
χ1822222-22-2-2-22222-2-2-2-2000000002000-2000−2i2i00000000−2i2i0000
χ1922222-22-2-2-22222-2-2-2-200000000-200020002i−2i00000000−2i2i0000
χ2022222-22-2-2-22222-2-2-2-200000000-20002000−2i2i000000002i−2i0000
χ2122222-22-2-2-2-2-2-2-222220000002-2002-200000000002-200000000
χ2222222-22-2-2-2-2-2-2-222220000002-200-220000000000-2200000000
χ2322222-22-2-2-2-2-2-2-22222000000-22002-20000000000-2200000000
χ2422222-22-2-2-2-2-2-2-22222000000-2200-2200000000002-200000000
χ252222-2-2-222-22-2-222-2-2200002-20002000-200002-2000000000000
χ262222-2-2-222-22-2-222-2-2200002-2000-200020000-22000000000000
χ272222-2-2-222-22-2-222-2-220000-220002000-20000-22000000000000
χ282222-2-2-222-22-2-222-2-220000-22000-2000200002-2000000000000
χ292-2-2222-22-2-222-2-222-2-222-2-200000000000000002i−2i000000002i−2i
χ302-2-2222-22-2-222-2-222-2-222-2-20000000000000000−2i2i00000000−2i2i
χ312-2-2222-22-2-222-2-222-2-2-2-22200000000000000002i−2i00000000−2i2i
χ322-2-2222-22-2-222-2-222-2-2-2-2220000000000000000−2i2i000000002i−2i
χ332-2-22-2-222-22-22-22-22-22000000000000002-2000000002-2002-200
χ342-2-22-2-222-22-22-22-22-22000000000000002-200000000-2200-2200
χ352-2-22-2-222-22-22-22-22-2200000000000000-22000000002-200-2200
χ362-2-22-2-222-22-22-22-22-2200000000000000-2200000000-22002-200
χ374444444444-4-4-4-4-4-4-4-400000000000000000000000000000000
χ384444-44-4-4-444-4-44-444-400000000000000000000000000000000
χ394444-44-4-4-44-444-44-4-4400000000000000000000000000000000
χ404444-4-4-444-4-444-4-444-400000000000000000000000000000000
χ414-4-4444-44-4-4-4-444-4-44400000000000000000000000000000000
χ424-4-444-4-4-44444-4-4-4-44400000000000000000000000000000000
χ434-4-444-4-4-444-4-44444-4-400000000000000000000000000000000
χ444-4-44-444-44-44-44-4-44-4400000000000000000000000000000000
χ454-4-44-444-44-4-44-444-44-400000000000000000000000000000000
χ464-4-44-4-444-444-44-44-44-400000000000000000000000000000000
χ4788-8-80000000000000022−2222−220000000000000000000000000000
χ4888-8-800000000000000−2222−22220000000000000000000000000000
χ498-88-80000000000000022−22−22220000000000000000000000000000
χ508-88-800000000000000−222222−220000000000000000000000000000

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