Finite Group Databasebeta

← Group #477532

Character table — Group #477532

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222222222222888816161616161616161616161616161616161616161616161616161616
order12222222224444444488882222444444444444448888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1
χ3111111111111111111111111-11-111-11-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111-1-1111-1-111111-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111111-1-1111-1-111111-1-111-1-111-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-11-1-1-1-11-1-1-1-11111-1-1-1-11111-1-111
χ71111111111111111111111-1-1-11-1-1-1-11-1-1-111-1-11111-1-1-1-11111
χ81111111111111111111111-1-1-1-11-1-1-1-1111-1-1-1-111-1-1111111-1-1
χ9111111111111111111-1-1-1-111111-1-1111-1-1-1-1-1-111-1-111-1-1-1-111
χ10111111111111111111-1-1-1-1111-1-1-1-11-1-11111-1-11111-1-111-1-1-1-1
χ11111111111111111111-1-1-1-111-11-1-1-1-11-1111111-1-1-1-111-1-111-1-1
χ12111111111111111111-1-1-1-111-1-11-1-1-1-11-1-1-1-111-1-111-1-1111111
χ13111111111111111111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1
χ14111111111111111111-1-1-1-1-1-11-1-1111-1-111-1-1-1-1-1-11111-1-11111
χ15111111111111111111-1-1-1-1-1-1-11-111-11-111-1-11111-1-1-1-111-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1111-1-11-1-11111111111-1-1-1-1-1-1
χ17222222-2-2-2-222-222-2-2-2000000020000-202i−2i002i−2i000000000000
χ18222222-2-2-2-222-222-2-2-2000000020000-20−2i2i00−2i2i000000000000
χ19222222-2-2-2-222-222-2-2-20000000-20000202i−2i00−2i2i000000000000
χ20222222-2-2-2-222-222-2-2-20000000-2000020−2i2i002i−2i000000000000
χ212222-2-22-2-222-2-22-22-2200002-220000-2000000002-20000000000
χ222222-2-22-2-222-2-22-22-2200002-2-20000200000000-220000000000
χ232222-2-22-2-222-2-22-22-220000-2220000-200000000-220000000000
χ242222-2-22-2-222-2-22-22-220000-22-200002000000002-20000000000
χ252222-2-2-222-2-22-2-222-220000000022-200-2002-200000000000000
χ262222-2-2-222-2-22-2-222-22000000002-2200-200-2200000000000000
χ272222-2-2-222-2-22-2-222-2200000000-22-200200-2200000000000000
χ282222-2-2-222-2-22-2-222-2200000000-2-22002002-200000000000000
χ292-22-22-222-2-22-2-2-2222-200000000000000000000002-200002i−2i2i−2i
χ302-22-22-222-2-22-2-2-2222-200000000000000000000002-20000−2i2i−2i2i
χ312-22-22-222-2-22-2-2-2222-20000000000000000000000-2200002i−2i−2i2i
χ322-22-22-222-2-22-2-2-2222-20000000000000000000000-220000−2i2i2i−2i
χ332-22-22-222-2-2-2222-2-2-222i2i−2i−2i000000000000000000002-22i−2i0000
χ342-22-22-222-2-2-2222-2-2-222i2i−2i−2i00000000000000000000-22−2i2i0000
χ352-22-22-222-2-2-2222-2-2-22−2i−2i2i2i000000000000000000002-2−2i2i0000
χ362-22-22-222-2-2-2222-2-2-22−2i−2i2i2i00000000000000000000-222i−2i0000
χ374444444444-4-4-4-4-4-4-4-400000000000000000000000000000000
χ38444444-4-4-4-4-4-44-4-444400000000000000000000000000000000
χ394444-4-44-4-44-444-44-44-400000000000000000000000000000000
χ404444-4-4-444-44-444-4-44-400000000000000000000000000000000
χ414-44-44-4-4-4444-44-44-4-4400000000000000000000000000000000
χ424-44-44-4-4-444-44-44-444-400000000000000000000000000000000
χ434-44-4-444-44-4444-4-44-4-400000000000000000000000000000000
χ444-44-4-444-44-4-4-4-444-44400000000000000000000000000000000
χ454-44-4-44-44-4444-4-4-4-44400000000000000000000000000000000
χ464-44-4-44-44-44-4-44444-4-400000000000000000000000000000000
χ4788-8-8000000000000002i2−2i22i2−2i20000000000000000000000000000
χ4888-8-800000000000000−2i22i2−2i22i20000000000000000000000000000
χ498-8-880000000000000022−22−22220000000000000000000000000000
χ508-8-8800000000000000−222222−220000000000000000000000000000

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