Finite Group Databasebeta

← Group #102487

Character table — Group #102487

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444444444888888881616161616161616161616161616161632323232
order12222222224444444444444444444488888888888888882444
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ922222222222222-2-2-2-2-2-2-2-20000000000002i2i−2i−2i000000000000
χ1022222222222222-2-2-2-2-2-2-2-2000000000000−2i−2i2i2i000000000000
χ112222222222-2-2-2-222-2-2-2-2222222-2-2-2-200000000000000000000
χ122222222222-2-2-2-222-2-2-2-222-2-2-2-2222200000000000000000000
χ132222222222-2-2-2-2-2-22222-2-20000000022-2-20000000000000000
χ142222222222-2-2-2-2-2-22222-2-200000000-2-2220000000000000000
χ1522222222-2-222-2-22-222-2-22-20000000000000000000000002-200
χ1622222222-2-222-2-22-222-2-22-2000000000000000000000000-2200
χ1722222222-2-222-2-2-22-2-222-220000000000000000000022-2-20000
χ1822222222-2-222-2-2-22-2-222-2200000000000000000000-2-2220000
χ1922222222-2-2-2-2222-2-2-2222-2000000000000000022-2-200000000
χ2022222222-2-2-2-2222-2-2-2222-20000000000000000-2-22200000000
χ2122222222-2-2-2-222-2222-2-2-22000000000000000000000000002-2
χ2222222222-2-2-2-222-2222-2-2-2200000000000000000000000000-22
χ2322-222-2-2-22-200002-20000-2200002i2i−2i−2ii2−i2i2−i22−22−2000000000000
χ2422-222-2-2-22-200002-20000-2200002i2i−2i−2i−i2i2−i2i2−22−22000000000000
χ2522-222-2-2-22-200002-20000-220000−2i−2i2i2ii2−i2i2−i2−22−22000000000000
χ2622-222-2-2-22-200002-20000-220000−2i−2i2i2i−i2i2−i2i22−22−2000000000000
χ2722-222-2-2-22-20000-2200002-222-2-20000i2−i2−i2i2i2−i2−i2i2000000000000
χ2822-222-2-2-22-20000-2200002-222-2-20000−i2i2i2−i2−i2i2i2−i2000000000000
χ2922-222-2-2-22-20000-2200002-2-2-2220000i2−i2−i2i2−i2i2i2−i2000000000000
χ3022-222-2-2-22-20000-2200002-2-2-2220000−i2i2i2−i2i2−i2−i2i2000000000000
χ31444-4-4-4-44000000004-400002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ32444-4-4-4-44000000004-40000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ33444-4-4-4-4400000000-4400002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ34444-4-4-4-4400000000-440000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ3544-444-4-4-4-440000440000-4-40000000000000000000000000000
χ3644-444-4-4-4-440000-4-40000440000000000000000000000000000
χ3744-4-4-444-400000000004i−4i002i−2i−2i2i2-2-2200000000000000000000
χ3844-4-4-444-400000000004i−4i00−2i2i2i−2i-222-200000000000000000000
χ3944-4-4-444-40000000000−4i4i002i−2i−2i2i-222-200000000000000000000
χ4044-4-4-444-40000000000−4i4i00−2i2i2i−2i2-2-2200000000000000000000
χ414-444-44-4-400004-4000000000000000000000000002i2−2i200000000
χ424-444-44-4-400004-400000000000000000000000000−2i22i200000000
χ434-444-44-4-40000-440000000000000000000000002i2−2i20000000000
χ444-444-44-4-40000-44000000000000000000000000−2i22i20000000000
χ454-44-44-44-4004-4000000000000000000000000000000002i2−2i20000
χ464-44-44-44-4004-400000000000000000000000000000000−2i22i20000
χ474-44-44-44-400-440000000000000000000000000000002i2−2i2000000
χ484-44-44-44-400-44000000000000000000000000000000−2i22i2000000
χ498-8-88-8-888000000000000000000000000000000000000000000
χ508-8-8-888-88000000000000000000000000000000000000000000

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