Finite Group Databasebeta

← Group #500508

Character table — Group #500508

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222244444444488888888888888881616161616161616161616161632323232
order12222244222244444222244444444444444444444444444488
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1
χ31111111111111111111-1-111111111-1-1-1-111-1-1-111-1-1-1-1-1-1-1-111
χ41111111111111111111-1-111111111-1-1-1-1-1-111-1-1-111-1-1-1-111-1-1
χ511111111111111111-1-1111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1
χ611111111111111111-1-1111-1-1-1-11-1-11111-1-1-1-11-1-1-1-1-1-1-1-11111
χ711111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-111-1-1-111-1-1111111-1-1
χ811111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1111111-1-111
χ9111111-1-111111-1-1-111111-1-1-111-1-1-1-1-1-1-11-11-111-11-111-1-11-11-1
χ10111111-1-111111-1-1-111111-1-1-111-1-1-1-1-1-1-1-11-111-11-1111-1-1-11-11
χ11111111-1-111111-1-1-1111-1-1-1-1-111-1-1-111111-1-11-11-1-11-1-111-111-1
χ12111111-1-111111-1-1-1111-1-1-1-1-111-1-1-11111-111-1-1-111-1-1-1111-1-11
χ13111111-1-111111-1-1-11-1-111-111-1-1-111-1-1-1-11-11-111-11-1-1-111-11-11
χ14111111-1-111111-1-1-11-1-111-111-1-1-111-1-1-1-1-11-111-11-11-1-1111-11-1
χ15111111-1-111111-1-1-11-1-1-1-1-111-1-1-11111111-1-11-11-1-1111-1-11-1-11
χ16111111-1-111111-1-1-11-1-1-1-1-111-1-1-1111111-111-1-1-111-111-1-1-111-1
χ17222222222-2-22-22-2-2-20000-2000020000000022000-2-200000000
χ18222222222-2-22-22-2-2-20000-20000200000000-2-20002200000000
χ1922222222-222-2-2222-20022-20000-20022-2-20000-2000000000000
χ2022222222-222-2-2222-200-2-2-20000-200-2-22200002000000000000
χ2122222222-2-2-2-222-2-22000020000-200000022000-2-20000000000
χ2222222222-2-2-2-222-2-22000020000-2000000-2-2000220000000000
χ23222222-2-22-2-22-2-222-2000020000-2000000002-2000-2200000000
χ24222222-2-22-2-22-2-222-2000020000-200000000-220002-200000000
χ25222222-2-2-222-2-2-2-2-2-2002220000200-2-2220000-2000000000000
χ26222222-2-2-222-2-2-2-2-2-200-2-22000020022-2-200002000000000000
χ27222222-2-2-2-2-2-22-22220000-2000020000002-2000-220000000000
χ28222222-2-2-2-2-2-22-22220000-200002000000-220002-20000000000
χ292-22-22-20022-2-2-200022-2000002-20002i−2i2i−2i000000000002i−2i0000
χ302-22-22-20022-2-2-200022-2000002-2000−2i2i−2i2i00000000000−2i2i0000
χ312-22-22-20022-2-2-20002-2200000-220002i−2i2i−2i00000000000−2i2i0000
χ322-22-22-20022-2-2-20002-2200000-22000−2i2i−2i2i000000000002i−2i0000
χ332-22-22-200-22-222000-2000002i−2i0002i−2i2i−2i−2i2i0000000002-2000000
χ342-22-22-200-22-222000-2000002i−2i0002i−2i−2i2i2i−2i000000000-22000000
χ352-22-22-200-22-222000-200000−2i2i000−2i2i2i−2i−2i2i000000000-22000000
χ362-22-22-200-22-222000-200000−2i2i000−2i2i−2i2i2i−2i0000000002-2000000
χ374444-4-44400000-400022000-2-2-2-2022000000000000000000000
χ384444-4-44400000-4000-2-200022220-2-2000000000000000000000
χ394444-4-4-4-40000040002200022-2-20-2-2000000000000000000000
χ404444-4-4-4-4000004000-2-2000-2-222022000000000000000000000
χ414-44-44-4004-44-44000-4000000000000000000000000000000000
χ424-44-44-400-4-444-40004000000000000000000000000000000000
χ434-44-4-44000000004i−4i02-20002i−2i-220−2i2i000000000000000000000
χ444-44-4-44000000004i−4i0-22000−2i2i2-202i−2i000000000000000000000
χ454-44-4-4400000000−4i4i02-2000−2i2i-2202i−2i000000000000000000000
χ464-44-4-4400000000−4i4i0-220002i−2i2-20−2i2i000000000000000000000
χ4788-8-80000000000000004-400000000000000000000000000000
χ4888-8-8000000000000000-4400000000000000000000000000000
χ498-8-88008-8000000000000000000000000000000000000000000
χ508-8-8800-88000000000000000000000000000000000000000000

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