Finite Group Databasebeta

← Group #143954

Character table — Group #143954

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222222244444488888888881616161616161616161616161616161632323232
order1244222444888888888844161616161616161624881616161616161616161616162244
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1
χ61111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11
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
χ922222222222222-2-222-2-2-2-22222-2-2-2-200000000000000000000
χ1022222222222222-2-222-2-2-2-2-2-2-2-2222200000000000000000000
χ112222222222-2-2-2-222-2-222-2-20000000022-2-20000000000000000
χ122222222222-2-2-2-222-2-222-2-200000000-2-2220000000000000000
χ132222222222-2-2-2-2-2-2-2-2-2-2220000000000002i2i−2i−2i000000000000
χ142222222222-2-2-2-2-2-2-2-2-2-222000000000000−2i−2i2i2i000000000000
χ1522222-2-2-2-22222200-2-2000022-2-200000000000022−2−222−2−20000
χ1622222-2-2-2-22222200-2-2000022-2-2000000000000−2−222−2−2220000
χ1722222-2-2-2-22222200-2-20000-2-22200000000000022−2−2−2−2220000
χ1822222-2-2-2-22222200-2-20000-2-222000000000000−2−22222−2−20000
χ1922-2-22-2-222-200002200-2-2002−22−222−2−2002i−2ii2−i2i2−i2000000000000
χ2022-2-22-2-222-200002200-2-2002−22−222−2−200−2i2i−i2i2−i2i2000000000000
χ2122-2-22-2-222-200002200-2-200−22−22−2−222002i−2i−i2i2−i2i2000000000000
χ2222-2-22-2-222-200002200-2-200−22−22−2−22200−2i2ii2−i2i2−i2000000000000
χ2322-2-22-2-222-20000-2-20022002−22−2−2−2222-2002−2−22000000000000
χ2422-2-22-2-222-20000-2-20022002−22−2−2−222-2200−222−2000000000000
χ2522-2-22-2-222-20000-2-2002200−22−2222−2−22-200−222−2000000000000
χ2622-2-22-2-222-20000-2-2002200−22−2222−2−2-22002−2−22000000000000
χ2722-2-2-22-22-22-2-22200-22000000002-22-2000000002−22−22−22−20000
χ2822-2-2-22-22-22-2-22200-22000000002-22-200000000−22−22−22−220000
χ2922-2-2-22-22-22-2-22200-2200000000-22-22000000002−22−2−22−220000
χ3022-2-2-22-22-22-2-22200-2200000000-22-2200000000−22−222−22−20000
χ3122-2-2-2-22-22222-2-22-2-222-22-200000000000000000000000020-20
χ3222-2-2-2-22-22222-2-22-2-222-22-2000000000000000000000000-2020
χ3322-2-2-2-22-22222-2-2-22-22-22-22000000000000000000000000020-2
χ3422-2-2-2-22-22222-2-2-22-22-22-220000000000000000000000000-202
χ3522-2-2-2-22-222-2-2222-22-22-2-2200000000000000002-2-2200000000
χ3622-2-2-2-22-222-2-2222-22-22-2-220000000000000000-222-200000000
χ3722-2-2-2-22-222-2-222-222-2-222-2000000000000000000002-2-220000
χ3822-2-2-2-22-222-2-222-222-2-222-200000000000000000000-222-20000
χ3944444-4-4-4-44-4-4-4-4004400000000000000000000000000000000
χ404444-44-4-44-400004-400-44000000000000000000000000000000
χ414444-44-4-44-40000-44004-4000000000000000000000000000000
χ424444-4-444-4-4000000000000000022−22−222200000000000000000000
χ434444-4-444-4-40000000000000000−222222−2200000000000000000000
χ4444-4-4444-4-4-400000000000022−22−2222000000000000000000000000
χ4544-4-4444-4-4-4000000000000−222222−22000000000000000000000000
χ4644-4-4-44-44-4444-4-4004-400000000000000000000000000000000
χ478-88i−8i00000042−424i2−4i2000000000000000000000000000000000000
χ488-88i−8i000000−4242−4i24i2000000000000000000000000000000000000
χ498-8−8i8i00000042−42−4i24i2000000000000000000000000000000000000
χ508-8−8i8i000000−42424i2−4i2000000000000000000000000000000000000

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