Finite Group Databasebeta

← Group #4791

Character table — Group #4791

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33
size111122222244444444446688888121212121224
order1222344666448812122424242444412121212444884
χ1111111111111111111111111111111111
χ211111111111111111111-1-111111-1-1-1-1-1-1
χ3111111111111-1-111-1-1-1-111-1-1-111111-1-1-1
χ4111111111111-1-111-1-1-1-1-1-1-1-1-111-1-1-1111
χ51111111111-1-11111111111-1-1-1-1-11-1-111-1
χ61111111111-1-111111111-1-1-1-1-1-1-1-111-1-11
χ71111111111-1-1-1-111-1-1-1-111111-1-11-1-1-1-11
χ81111111111-1-1-1-111-1-1-1-1-1-1111-1-1-11111-1
χ922222-2-22220000-2-200002200000-200000
χ1022222-2-22220000-2-20000-2-200000200000
χ112222-122-1-1-12222-1-1-1-1-1-1002-1-1-1-1000000
χ122222-122-1-1-122-2-2-1-1111100-211-1-1000000
χ132222-122-1-1-1-2-222-1-1-1-1-1-100-21111000000
χ142222-122-1-1-1-2-2-2-2-1-11111002-1-111000000
χ1522-2-222-2-2-222-2002-20000000002-2000000
χ1622-2-222-2-2-22-22002-2000000000-22000000
χ1722-2-22-22-2-220000-220000000000002i−2i000
χ1822-2-22-22-2-220000-22000000000000−2i2i000
χ1922-2-2-12-211-12-200-1133−3−30003−3-11000000
χ2022-2-2-12-211-12-200-11−3−333000−33-11000000
χ2122-2-2-12-211-1-2200-1133−3−3000−331-1000000
χ2222-2-2-12-211-1-2200-11−3−3330003−31-1000000
χ232-2-22200-22-200−i2i200−i2i2−i2i22-200000000−i2i20
χ242-2-22200-22-200−i2i200−i2i2−i2i2-2200000000i2−i20
χ252-2-22200-22-200i2−i200i2−i2i2−i22-200000000i2−i20
χ262-2-22200-22-200i2−i200i2−i2i2−i2-2200000000−i2i20
χ274444-2-4-4-2-2-200002200000000000000000
χ2844-4-4-2-4422-200002-200000000000000000
χ294-44-44004-4-400000000000000000000000
χ304-44-4-200-222000000i6−i6−i6i60000000000000
χ314-44-4-200-222000000−i6i6i6−i60000000000000
χ324-4-44-2002-2200−2i22i200i2−i2i2−i20000000000000
χ334-4-44-2002-22002i2−2i200−i2i2−i2i20000000000000

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