Finite Group Databasebeta

← Group #104646

Character table — Group #104646

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size11111111444444444488161616161616161616161616161616161616161632323232
order12222222224444444444224444448888888888882444
χ111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1
χ511111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1
χ611111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11
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
χ9222222222222-2-2-222-2-2-200000000000022-2-200000000
χ10222222222222-2-2-222-2-2-2000000000000-2-22200000000
χ112222222222-2-22-2-2-2-22-22000000000000000022-2-20000
χ122222222222-2-22-2-2-2-22-220000000000000000-2-2220000
χ132222222222-2-2-222-2-2-22-20000000022-2-2000000000000
χ142222222222-2-2-222-2-2-22-200000000-2-222000000000000
χ1522222222-2-222222-2-22-2-20000000000000000000020-20
χ1622222222-2-222222-2-22-2-200000000000000000000-2020
χ1722222222-2-222-2-2-2-2-2-22200002i2i−2i−2i0000000000000000
χ1822222222-2-222-2-2-2-2-2-2220000−2i−2i2i2i0000000000000000
χ1922222222-2-2-2-22-2-22222-222-2-200000000000000000000
χ2022222222-2-2-2-22-2-22222-2-2-22200000000000000000000
χ2122222222-2-2-2-2-22222-2-2200000000000000000000020-2
χ2222222222-2-2-2-2-22222-2-22000000000000000000000-202
χ2322-2-22-22-22-22-20002-200000000000i2−i2i2−i2002i−2i2−22−20000
χ2422-2-22-22-22-22-20002-200000000000i2−i2i2−i200−2i2i−22−220000
χ2522-2-22-22-22-22-20002-200000000000−i2i2−i2i2002i−2i−22−220000
χ2622-2-22-22-22-22-20002-200000000000−i2i2−i2i200−2i2i2−22−20000
χ2722-2-22-22-22-2-22000-2200000000000i2−i2−i2i22i−2i002−2−220000
χ2822-2-22-22-22-2-22000-2200000000000i2−i2−i2i2−2i2i00−222−20000
χ2922-2-22-22-22-2-22000-2200000000000−i2i2i2−i22i−2i00−222−20000
χ3022-2-22-22-22-2-22000-2200000000000−i2i2i2−i2−2i2i002−2−220000
χ3144-4-44-44-4-444-4000-44000000000000000000000000000
χ3244-4-44-44-4-44-440004-4000000000000000000000000000
χ3344-4-4-44-44000040000-40000002i−2i2i−2i0000000000000000
χ3444-4-4-44-44000040000-4000000−2i2i−2i2i0000000000000000
χ3544-4-4-44-440000-4000040000002-2-220000000000000000
χ3644-4-4-44-440000-400004000000-222-20000000000000000
χ374-4-44-4-444000004-4000002-22-200000000000000000000
χ384-4-44-4-444000004-400000-22-2200000000000000000000
χ394-4-44-4-44400000-44000002-2-2200000000000000000000
χ404-4-44-4-44400000-4400000-222-200000000000000000000
χ418888-8-8-8-8000000000000000000000000000000000000
χ428-88-88-8-88000000000000000000000000000000000000
χ438-88-8-888-8000000000000000000000000000000000000
χ448-8-8888-8-8000000000000000000000000000000000000

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