Finite Group Databasebeta

← Group #478601

Character table — Group #478601

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222222222222888816161616161616161616161616161616161616161616161616161616
order12222222224444444488882444444444888888888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1
χ311111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111
χ411111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ51111111111111111111111-111-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1
χ61111111111111111111111-111-111-1-111-1-1-1-1-1-1-1-111-1-111-1-111
χ71111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ9111111111111111111-1-1-1-11111-1-111-1-111-1-111-1-1-1-1-1-111-1-111
χ10111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ11111111111111111111-1-1-1-11-1-111111-1-1-1-111-1-11111-1-1-1-1-1-111
χ12111111111111111111-1-1-1-11-1-1111-1-111-1-11111-1-1-1-1-1-11111-1-1
χ13111111111111111111-1-1-1-1-111-1-1-11111-1-11111-1-11111-1-1-1-1-1-1
χ14111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-111-1-111111111
χ15111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1
χ16111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-11111-1-11111
χ17222222-2-2-2-2-22222-2-2-20000200-200000000002i−2i0000002i−2i0000
χ18222222-2-2-2-2-22222-2-2-20000200-20000000000−2i2i000000−2i2i0000
χ19222222-2-2-2-2-22222-2-2-20000-200200000000002i−2i000000−2i2i0000
χ20222222-2-2-2-2-22222-2-2-20000-20020000000000−2i2i0000002i−2i0000
χ212-2-222-22-22-2222-2-2-22-2000000002-20000000000002i−2i0000002i−2i
χ222-2-222-22-22-2222-2-2-22-2000000002-2000000000000−2i2i000000−2i2i
χ232-2-222-22-22-2222-2-2-22-200000000-220000000000002i−2i000000−2i2i
χ242-2-222-22-22-2222-2-2-22-200000000-22000000000000−2i2i0000002i−2i
χ252-2-222-2-22-222-2-222-22-2000002i−2i00000000000002-20000002i−2i00
χ262-2-222-2-22-222-2-222-22-2000002i−2i0000000000000-22000000−2i2i00
χ272-2-222-2-22-222-2-222-22-200000−2i2i00000000000002-2000000−2i2i00
χ282-2-222-2-22-222-2-222-22-200000−2i2i0000000000000-220000002i−2i00
χ292-2-22-22-2-22222-22-22-2-22i2i−2i−2i00000000002i−2i2-200000000000000
χ302-2-22-22-2-22222-22-22-2-22i2i−2i−2i0000000000−2i2i-2200000000000000
χ312-2-22-22-2-22222-22-22-2-2−2i−2i2i2i00000000002i−2i-2200000000000000
χ322-2-22-22-2-22222-22-22-2-2−2i−2i2i2i0000000000−2i2i2-200000000000000
χ332-2-22-22-2-222-2-22-22-22200000000002-22-200000000002-2000000
χ342-2-22-22-2-222-2-22-22-22200000000002-2-220000000000-22000000
χ352-2-22-22-2-222-2-22-22-2220000000000-222-20000000000-22000000
χ362-2-22-22-2-222-2-22-22-2220000000000-22-2200000000002-2000000
χ374444444444-4-4-4-4-4-4-4-400000000000000000000000000000000
χ38444444-4-4-4-44-4-4-4-444400000000000000000000000000000000
χ394444-4-44-4-444-444-4-4-4400000000000000000000000000000000
χ404444-4-44-4-44-44-4-4444-400000000000000000000000000000000
χ414444-4-4-444-444-4-44-4-4400000000000000000000000000000000
χ424444-4-4-444-4-4-444-444-400000000000000000000000000000000
χ434-4-444-44-44-4-4-4-4444-4400000000000000000000000000000000
χ444-4-444-4-44-44-444-4-44-4400000000000000000000000000000000
χ454-4-44-4444-4-44-44-444-4-400000000000000000000000000000000
χ464-4-44-4444-4-4-44-44-4-44400000000000000000000000000000000
χ4788-8-80000000000000022−2222−220000000000000000000000000000
χ4888-8-800000000000000−2222−22220000000000000000000000000000
χ498-88-8000000000000002i2−2i2−2i22i20000000000000000000000000000
χ508-88-800000000000000−2i22i22i2−2i20000000000000000000000000000

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