Finite Group Databasebeta

← Group #104708

Character table — Group #104708

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size11111111444444444488161616161616161616161616161616161616161632323232
order12222222224444444444444444448888888888884444
χ111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ511111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11
χ611111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-11-1
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
χ112222222222-222-2-222-2-2-200000000000022-2-200000000
χ122222222222-222-2-222-2-2-2000000000000-2-22200000000
χ132222222222-2-2-222-2-2-2-220000000022-2-2000000000000
χ142222222222-2-2-222-2-2-2-2200000000-2-222000000000000
χ1522222222-2-222222-2-22-2-200000000000000000000020-2
χ1622222222-2-222222-2-22-2-2000000000000000000000-202
χ1722222222-2-22-2-2-2-2222-2222-2-200000000000000000000
χ1822222222-2-22-2-2-2-2222-22-2-22200000000000000000000
χ1922222222-2-2-222-2-2-2-2-22200002i2i−2i−2i0000000000000000
χ2022222222-2-2-222-2-2-2-2-2220000−2i−2i2i2i0000000000000000
χ2122222222-2-2-2-2-22222-22-20000000000000000000020-20
χ2222222222-2-2-2-2-22222-22-200000000000000000000-2020
χ232-2-2-2-2222-2202-2002-2000000000002−22−2002-22−22−20000
χ242-2-2-2-2222-2202-2002-2000000000002−22−200-22−22−220000
χ252-2-2-2-2222-2202-2002-200000000000−22−22002-2−22−220000
χ262-2-2-2-2222-2202-2002-200000000000−22−2200-222−22−20000
χ272-2-2-2-2222-220-2200-22000000000002−2−222-2002−2−220000
χ282-2-2-2-2222-220-2200-22000000000002−2−22-2200−222−20000
χ292-2-2-2-2222-220-2200-2200000000000−222−22-200−222−20000
χ302-2-2-2-2222-220-2200-2200000000000−222−2-22002−2−220000
χ3144-44-44-4-4004000000-40000002-22-20000000000000000
χ3244-44-44-4-4004000000-4000000-22-220000000000000000
χ3344-44-44-4-400-400000040000002i−2i−2i2i0000000000000000
χ3444-44-44-4-400-40000004000000−2i2i2i−2i0000000000000000
χ354-4-444-4-44000004-4000002i−2i2i−2i00000000000000000000
χ364-4-444-4-44000004-400000−2i2i−2i2i00000000000000000000
χ374-4-444-4-4400000-44000002i−2i−2i2i00000000000000000000
χ384-4-444-4-4400000-4400000−2i2i2i−2i00000000000000000000
χ394-4-4-4-44444-404-400-44000000000000000000000000000
χ404-4-4-4-44444-40-44004-4000000000000000000000000000
χ41888-8-8-8-88000000000000000000000000000000000000
χ4288-8-88-88-8000000000000000000000000000000000000
χ438-888-8-88-8000000000000000000000000000000000000
χ448-88-888-8-8000000000000000000000000000000000000

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