Finite Group Databasebeta

← Group #102491

Character table — Group #102491

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444444444888888881616161616161616161616161616161632323232
order12222222224444444444444444444488888888888888884444
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
χ2322-2-2-22-222-200002-20000-22000022-2-2i2−i2i2−i2i2−i2i2−i2000000000000
χ2422-2-2-22-222-200002-20000-22000022-2-2−i2i2−i2i2−i2i2−i2i2000000000000
χ2522-2-2-22-222-200002-20000-220000-2-222i2−i2i2−i2−i2i2−i2i2000000000000
χ2622-2-2-22-222-200002-20000-220000-2-222−i2i2−i2i2i2−i2i2−i2000000000000
χ2722-2-2-22-222-20000-2200002-22i2i−2i−2i0000i2−i2−i2i22−2−22000000000000
χ2822-2-2-22-222-20000-2200002-22i2i−2i−2i0000−i2i2i2−i2−222−2000000000000
χ2922-2-2-22-222-20000-2200002-2−2i−2i2i2i0000i2−i2−i2i2−222−2000000000000
χ3022-2-2-22-222-20000-2200002-2−2i−2i2i2i0000−i2i2i2−i22−2−22000000000000
χ314444-4-4-4-4004-40000000000000000000000000000000022−220000
χ324444-4-4-4-4004-400000000000000000000000000000000−22220000
χ334444-4-4-4-400-4400000000000000000000000000000022−22000000
χ344444-4-4-4-400-44000000000000000000000000000000−2222000000
χ3544-4-4-44-44-440000440000-4-40000000000000000000000000000
χ3644-4-4-44-44-440000-4-40000440000000000000000000000000000
χ374-44-44-4-4400004-4000000000000000000000000002i2−2i200000000
χ384-44-44-4-4400004-400000000000000000000000000−2i22i200000000
χ394-44-44-4-440000-440000000000000000000000002i2−2i20000000000
χ404-44-44-4-440000-44000000000000000000000000−2i22i20000000000
χ414-44-4-444-4000000004-400002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ424-44-4-444-4000000004-40000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ434-44-4-444-400000000-4400002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ444-44-4-444-400000000-440000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ454-4-4444-4-400000000004i−4i002-2-222i−2i−2i2i00000000000000000000
χ464-4-4444-4-400000000004i−4i00-222-2−2i2i2i−2i00000000000000000000
χ474-4-4444-4-40000000000−4i4i002-2-22−2i2i2i−2i00000000000000000000
χ484-4-4444-4-40000000000−4i4i00-222-22i−2i−2i2i00000000000000000000
χ4988-8-88-88-8000000000000000000000000000000000000000000
χ508-8-88-8-888000000000000000000000000000000000000000000

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