Finite Group Databasebeta

← Group #478916

Character table — Group #478916

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222222222222888816161616161616161616161616161616161616161616161616161616
order12222222224444444488882224444444888888888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-111-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1
χ4111111111111111111111111-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-11-1-11111111-1-111-1-1-1-1-1-111-1-1-1-1
χ61111111111111111111111-1-11-1-11-1-1-1-1-1-11111-1-1-1-111-1-11111
χ71111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1
χ9111111111111111111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-111-1-1111111-1-1
χ10111111111111111111-1-1-1-1111-1-11-1-1111111-1-111-1-1-1-1-1-1-1-111
χ11111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1
χ13111111111111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111-1-111
χ14111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-111-1-1
χ15111111111111111111-1-1-1-1-1-1-111-11111-1-1111111-1-1-1-1-1-111-1-1
χ16111111111111111111-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-11111-1-111
χ17222222-2-2-2-222-2-222-2-2000000200-20000002i−2i0000000000002i−2i
χ18222222-2-2-2-222-2-222-2-2000000200-2000000−2i2i000000000000−2i2i
χ19222222-2-2-2-222-2-222-2-2000000-20020000002i−2i000000000000−2i2i
χ20222222-2-2-2-222-2-222-2-2000000-2002000000−2i2i0000000000002i−2i
χ212-22-22-22-22-22-2222-2-2-200002-20000000000002i−2i002i−2i00000000
χ222-22-22-22-22-22-2222-2-2-200002-2000000000000−2i2i00−2i2i00000000
χ232-22-22-22-22-22-2222-2-2-20000-220000000000002i−2i00−2i2i00000000
χ242-22-22-22-22-22-2222-2-2-20000-22000000000000−2i2i002i−2i00000000
χ252-22-22-2-22-22-2222-22-2-22i2i−2i−2i0000002i−2i002-20000000000000000
χ262-22-22-2-22-22-2222-22-2-22i2i−2i−2i000000−2i2i00-220000000000000000
χ272-22-22-2-22-22-2222-22-2-2−2i−2i2i2i0000002i−2i00-220000000000000000
χ282-22-22-2-22-22-2222-22-2-2−2i−2i2i2i000000−2i2i002-20000000000000000
χ292-22-2-22-2-222222-2-2-22-200000002i−2i0002-2000000000000002i−2i00
χ302-22-2-22-2-222222-2-2-22-200000002i−2i000-2200000000000000−2i2i00
χ312-22-2-22-2-222222-2-2-22-20000000−2i2i0002-200000000000000−2i2i00
χ322-22-2-22-2-222222-2-2-22-20000000−2i2i000-22000000000000002i−2i00
χ332-22-2-22-2-222-2-2-2222-22000000000000000000002-2002-22-20000
χ342-22-2-22-2-222-2-2-2222-22000000000000000000002-200-22-220000
χ352-22-2-22-2-222-2-2-2222-2200000000000000000000-22002-2-220000
χ362-22-2-22-2-222-2-2-2222-2200000000000000000000-2200-222-20000
χ374444444444-4-4-4-4-4-4-4-400000000000000000000000000000000
χ38444444-4-4-4-4-4-444-4-44400000000000000000000000000000000
χ394444-4-44-4-444-4-44-444-400000000000000000000000000000000
χ404444-4-44-4-44-444-44-4-4400000000000000000000000000000000
χ414444-4-4-444-44-44-4-44-4400000000000000000000000000000000
χ424444-4-4-444-4-44-444-44-400000000000000000000000000000000
χ434-44-44-44-44-4-44-4-4-444400000000000000000000000000000000
χ444-44-44-4-44-444-4-4-44-44400000000000000000000000000000000
χ454-44-4-4444-4-444-44-4-4-4400000000000000000000000000000000
χ464-44-4-4444-4-4-4-44-4444-400000000000000000000000000000000
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).