Finite Group Databasebeta

← Group #4800

Character table — Group #4800

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36
size11112222222222444444666666668888882424
order1222344666888812122424242444448888441212121224
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
χ51111111111-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-1111-1
χ61111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1111-1-1-11
χ71111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-111-11
χ81111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1111-1-11-1
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
χ132222-122-1-1-1-2-2-2-2-1-11111000000002-211-1-100
χ142222-122-1-1-1-2-2-2-2-1-1111100000000-22-1-11100
χ1522-2-222-2-2-220000-22000000002i2i−2i−2i00000000
χ1622-2-222-2-2-220000-2200000000−2i−2i2i2i00000000
χ1722-2-22-22-2-222i2i−2i−2i2-22i2i−2i−2i0000000000000000
χ1822-2-22-22-2-22−2i−2i2i2i2-2−2i−2i2i2i0000000000000000
χ1922-2-2-1-2211-12i2i−2i−2i-11−i−iii00000000003−3−i3i300
χ2022-2-2-1-2211-12i2i−2i−2i-11−i−iii0000000000−33i3−i300
χ2122-2-2-1-2211-1−2i−2i2i2i-11ii−i−i00000000003−3i3−i300
χ2222-2-2-1-2211-1−2i−2i2i2i-11ii−i−i0000000000−33−i3i300
χ232-22-2200-22-2−i2i2−i2i200−i2i2−i2i2002i−2i2−22−200000000
χ242-22-2200-22-2−i2i2−i2i200−i2i2−i2i200−2i2i−22−2200000000
χ252-22-2200-22-2i2−i2i2−i200i2−i2i2−i2002i−2i−22−2200000000
χ262-22-2200-22-2i2−i2i2−i200i2−i2i2−i200−2i2i2−22−200000000
χ272-2-222002-2-22−2−22002−2−222i−2i00−i2i2i2−i200000000
χ282-2-222002-2-22−2−22002−2−22−2i2i00i2−i2−i2i200000000
χ292-2-222002-2-2−222−200−222−22i−2i00i2−i2−i2i200000000
χ302-2-222002-2-2−222−200−222−2−2i2i00−i2i2i2−i200000000
χ314444-2-4-4-2-2-200002200000000000000000000
χ3244-4-4-24-422-200002-200000000000000000000
χ334-44-4-2002-22−2i22i2−2i22i200i2−i2i2−i20000000000000000
χ344-44-4-2002-222i2−2i22i2−2i200−i2i2−i2i20000000000000000
χ354-4-44-200-22222−22−222200−222−20000000000000000
χ364-4-44-200-222−222222−22002−2−220000000000000000

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