Finite Group Databasebeta

← Group #104688

Character table — Group #104688

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size11111111444444444488161616161616161616161616161616161616161632323232
order12222222224444444444444444448888888888884444
χ111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ511111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ611111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ711111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ922222222222-2-2-2-2-2-222-2000000000000000022-2-20000
χ1022222222222-2-2-2-2-2-222-20000000000000000-2-2220000
χ112222222222-22222-2-2-2-2-200000000000022-2-200000000
χ122222222222-22222-2-2-2-2-2000000000000-2-22200000000
χ132222222222-2-2-2-2-222-2-220000000022-2-2000000000000
χ142222222222-2-2-2-2-222-2-2200000000-2-222000000000000
χ1522222222-2-2222-2-2222-2-200000000000000000000002-2
χ1622222222-2-2222-2-2222-2-20000000000000000000000-22
χ1722222222-2-22-2-222-2-22-2222-2-200000000000000000000
χ1822222222-2-22-2-222-2-22-22-2-22200000000000000000000
χ1922222222-2-2-222-2-2-2-2-22200002i2i−2i−2i0000000000000000
χ2022222222-2-2-222-2-2-2-2-2220000−2i−2i2i2i0000000000000000
χ2122222222-2-2-2-2-22222-22-2000000000000000000002-200
χ2222222222-2-2-2-2-22222-22-200000000000000000000-2200
χ2322-22-22-2-2-2202-22-20000000000000i2−i2i2−i2002i−2i2−22−20000
χ2422-22-22-2-2-2202-22-20000000000000i2−i2i2−i200−2i2i−22−220000
χ2522-22-22-2-2-2202-22-20000000000000−i2i2−i2i2002i−2i−22−220000
χ2622-22-22-2-2-2202-22-20000000000000−i2i2−i2i200−2i2i2−22−20000
χ2722-22-22-2-2-220-22-220000000000000i2−i2−i2i22i−2i002−2−220000
χ2822-22-22-2-2-220-22-220000000000000i2−i2−i2i2−2i2i00−222−20000
χ2922-22-22-2-2-220-22-220000000000000−i2i2i2−i22i−2i00−222−20000
χ3022-22-22-2-2-220-22-220000000000000−i2i2i2−i2−2i2i002−2−220000
χ31444-4-4-4-44004000000-40000002-22-20000000000000000
χ32444-4-4-4-44004000000-4000000-22-220000000000000000
χ33444-4-4-4-4400-400000040000002i−2i−2i2i0000000000000000
χ34444-4-4-4-4400-40000004000000−2i2i2i−2i0000000000000000
χ3544-44-44-4-44-404-4-4400000000000000000000000000000
χ3644-44-44-4-44-40-444-400000000000000000000000000000
χ374-44-4-444-400000004-40002i−2i2i−2i00000000000000000000
χ384-44-4-444-400000004-4000−2i2i−2i2i00000000000000000000
χ394-44-4-444-40000000-440002i−2i−2i2i00000000000000000000
χ404-44-4-444-40000000-44000−2i2i2i−2i00000000000000000000
χ4188-8-88-88-8000000000000000000000000000000000000
χ428-8888-8-8-8000000000000000000000000000000000000
χ438-8-88-8-888000000000000000000000000000000000000
χ448-8-8-888-88000000000000000000000000000000000000

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