Finite Group Databasebeta

← Group #102475

Character table — Group #102475

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444444444888888881616161616161616161616161616161632323232
order12222222224444444444444444444488888888888888882244
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
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
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1
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
χ1522222222-2-222-2-22-222-2-22-200000000000000000000000020-20
χ1622222222-2-222-2-22-222-2-22-2000000000000000000000000-2020
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
χ2122222222-2-2-2-222-2222-2-2-22000000000000000000000000020-2
χ2222222222-2-2-2-222-2222-2-2-220000000000000000000000000-202
χ232-22-2-22-222-20000220000-2-22i2i−2i−2i00002−22−2i2−i2i2−i2000000000000
χ242-22-2-22-222-20000220000-2-22i2i−2i−2i0000−22−22−i2i2−i2i2000000000000
χ252-22-2-22-222-20000220000-2-2−2i−2i2i2i00002−22−2−i2i2−i2i2000000000000
χ262-22-2-22-222-20000220000-2-2−2i−2i2i2i0000−22−22i2−i2i2−i2000000000000
χ272-22-2-22-222-20000-2-2000022000022-2-22−2−222−2−22000000000000
χ282-22-2-22-222-20000-2-2000022000022-2-2−222−2−222−2000000000000
χ292-22-2-22-222-20000-2-20000220000-2-2222−2−22−222−2000000000000
χ302-22-2-22-222-20000-2-20000220000-2-222−222−22−2−22000000000000
χ31444-4-4-44-400000000004i−4i002-22-22i−2i2i−2i00000000000000000000
χ32444-4-4-44-400000000004i−4i00-22-22−2i2i−2i2i00000000000000000000
χ33444-4-4-44-40000000000−4i4i002-22-2−2i2i−2i2i00000000000000000000
χ34444-4-4-44-40000000000−4i4i00-22-222i−2i2i−2i00000000000000000000
χ3544-44-44-4-400004-4000000000000000000000000002i2−2i200000000
χ3644-44-44-4-400004-400000000000000000000000000−2i22i200000000
χ3744-44-44-4-40000-440000000000000000000000002i2−2i20000000000
χ3844-44-44-4-40000-44000000000000000000000000−2i22i20000000000
χ394-4444-4-4-4000000004-400002i−2i−2i2i2i−2i−2i2i00000000000000000000
χ404-4444-4-4-4000000004-40000−2i2i2i−2i−2i2i2i−2i00000000000000000000
χ414-4444-4-4-400000000-4400002i−2i−2i2i−2i2i2i−2i00000000000000000000
χ424-4444-4-4-400000000-440000−2i2i2i−2i2i−2i−2i2i00000000000000000000
χ434-44-4-44-44-4400004-40000-440000000000000000000000000000
χ444-44-4-44-44-440000-4400004-40000000000000000000000000000
χ454-4-44-4-444004-40000000000000000000000000000000022−220000
χ464-4-44-4-444004-400000000000000000000000000000000−22220000
χ474-4-44-4-44400-4400000000000000000000000000000022−22000000
χ484-4-44-4-44400-44000000000000000000000000000000−2222000000
χ4988-8-88-8-88000000000000000000000000000000000000000000
χ508-8-8-8888-8000000000000000000000000000000000000000000

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