Finite Group Databasebeta

← Group #5151

Character table — Group #5151

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36
size11112222222222444444666666668888882424
order122234466688881212242424244444888822666622
χ1111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1111111-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-11-1
χ61111111111-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-111-11
χ71111111111-1-1-1-111-1-1-1-1-1-1-1-111111-111-1-1-11
χ81111111111-1-1-1-111-1-1-1-1-1-1-1-11111-11-1-1111-1
χ922222-2-22220000-2-2000022-2-2000000000000
χ1022222-2-22220000-2-20000-2-222000000000000
χ112222-122-1-1-12222-1-1-1-1-1-10000000022-1-1-1-100
χ122222-122-1-1-12222-1-1-1-1-1-100000000-2-2111100
χ132222-122-1-1-1-2-2-2-2-1-11111000000002-2-1-11100
χ142222-122-1-1-1-2-2-2-2-1-1111100000000-2211-1-100
χ1522-2-222-2-2-2222-2-2-2222-2-20000000000000000
χ1622-2-222-2-2-22-2-222-22-2-2220000000000000000
χ1722-2-22-22-2-2200002-20000000022-2-200000000
χ1822-2-22-22-2-2200002-200000000-2-22200000000
χ1922-2-2-12-211-122-2-21-1-1-1110000000000−i3i3−i3i300
χ2022-2-2-12-211-122-2-21-1-1-1110000000000i3−i3i3−i300
χ2122-2-2-12-211-1-2-2221-111-1-10000000000−i3i3i3−i300
χ2222-2-2-12-211-1-2-2221-111-1-10000000000i3−i3−i3i300
χ232-22-22002-2-22−22−2002−22−2002-22−22−200000000
χ242-22-22002-2-22−22−2002−22−200-22−22−2200000000
χ252-22-22002-2-2−22−2200−22−22002-2−22−2200000000
χ262-22-22002-2-2−22−2200−22−2200-222−22−200000000
χ272-2-22200-22-22−2−22002−2−222-2002−2−2200000000
χ282-2-22200-22-22−2−22002−2−22-2200−222−200000000
χ292-2-22200-22-2−222−200−222−22-200−222−200000000
χ302-2-22200-22-2−222−200−222−2-22002−2−2200000000
χ314444-2-4-4-2-2-200002200000000000000000000
χ3244-4-4-2-4422-20000-2200000000000000000000
χ334-44-4-200-22222−2222−2200−22−220000000000000000
χ344-44-4-200-222−2222−2222002−22−20000000000000000
χ354-4-44-2002-2222−22−222200−222−20000000000000000
χ364-4-44-2002-22−222222−22002−2−220000000000000000

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