Finite Group Databasebeta

← Group #476702

Character table — Group #476702

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222222222222888816161616161616161616161616161616161616161616161616161616
order12222222224444444488882222244444444488888888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-11-1-1-1-1-1-111-1-11111-1-1-1-1-1-1
χ311111111111111111111111111-111-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111
χ61111111111111111111111-1-1-1-11-1-11-1-11111-1-11111-1-111-1-1-1-1
χ71111111111111111111111-1-1-1-1-111-111-1-1111111-1-111-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111
χ9111111111111111111-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-1
χ10111111111111111111-1-1-1-111-1-11-1-1111-1-1-1-11111-1-1-1-111-1-111
χ11111111111111111111-1-1-1-111-1-1-111-1-1-111-1-1-1-1111111-1-1-1-111
χ12111111111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1
χ13111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1111111-1-1
χ14111111111111111111-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-111-1-1-1-111
χ15111111111111111111-1-1-1-1-1-111-111-1-1-1-1-11111-1-111-1-111-1-111
χ16111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-111-1-1
χ172222222222-2-2-2-2-2-2-2-2000000000000002-200002i−2i2i−2i00000000
χ182222222222-2-2-2-2-2-2-2-2000000000000002-20000−2i2i−2i2i00000000
χ192222222222-2-2-2-2-2-2-2-200000000000000-2200002i−2i−2i2i00000000
χ202222222222-2-2-2-2-2-2-2-200000000000000-220000−2i2i2i−2i00000000
χ21222222-2-2-2-222-22-22-2-200000000200-22i−2i00000000000000002i−2i
χ22222222-2-2-2-222-22-22-2-200000000200-2−2i2i0000000000000000−2i2i
χ23222222-2-2-2-222-22-22-2-200000000-20022i−2i0000000000000000−2i2i
χ24222222-2-2-2-222-22-22-2-200000000-2002−2i2i00000000000000002i−2i
χ252222-2-2-222-22-2-2-2222-20000002-202-20000000000000002-20000
χ262222-2-2-222-22-2-2-2222-20000002-20-22000000000000000-220000
χ272222-2-2-222-22-2-2-2222-2000000-2202-2000000000000000-220000
χ282222-2-2-222-22-2-2-2222-2000000-220-220000000000000002-20000
χ292-2-222-222-2-22-222-2-22-200002-200000000002i−2i00000000002i−2i00
χ302-2-222-222-2-22-222-2-22-200002-20000000000−2i2i0000000000−2i2i00
χ312-2-222-222-2-22-222-2-22-20000-2200000000002i−2i0000000000−2i2i00
χ322-2-222-222-2-22-222-2-22-20000-220000000000−2i2i00000000002i−2i00
χ332-2-22-222-22-2-2-2-22-222222-2-2000000000000002-200002-2000000
χ342-2-22-222-22-2-2-2-22-222222-2-200000000000000-220000-22000000
χ352-2-22-222-22-2-2-2-22-2222-2-222000000000000002-20000-22000000
χ362-2-22-222-22-2-2-2-22-2222-2-22200000000000000-2200002-2000000
χ37444444-4-4-4-4-4-44-44-44400000000000000000000000000000000
χ384444-4-44-4-444-44-4-44-4400000000000000000000000000000000
χ394444-4-44-4-44-44-444-44-400000000000000000000000000000000
χ404444-4-4-444-4-4444-4-4-4400000000000000000000000000000000
χ414-4-444-444-4-4-44-4-444-4400000000000000000000000000000000
χ424-4-444-4-4-4444-4-444-4-4400000000000000000000000000000000
χ434-4-444-4-4-444-444-4-444-400000000000000000000000000000000
χ444-4-44-444-44-4444-44-4-4-400000000000000000000000000000000
χ454-4-44-44-44-4444-4-4-4-44400000000000000000000000000000000
χ464-4-44-44-44-44-4-44444-4-400000000000000000000000000000000
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).