Finite Group Databasebeta

← Group #4871

Character table — Group #4871

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33
size111122222244444444446688888121212121224
order1222344666448812122424242444412121212224884
χ1111111111111111111111111111111111
χ211111111111111111111-1-111111-1-1-1-1-1-1
χ3111111111111-1-111-1-1-1-111-111-1-1111-1-1-1
χ4111111111111-1-111-1-1-1-1-1-1-111-1-1-1-1-1111
χ51111111111-1-11111111111-1-1-1-1-1-1-1111-1
χ61111111111-1-111111111-1-1-1-1-1-1-111-1-1-11
χ71111111111-1-1-1-111-1-1-1-1111-1-111-1-11-1-11
χ81111111111-1-1-1-111-1-1-1-1-1-11-1-11111-111-1
χ922222-2-22220000-2-20000220000000-2000
χ1022222-2-22220000-2-20000-2-200000002000
χ112222-122-1-1-12222-1-1-1-1-1-1002-1-1-1-1000000
χ122222-122-1-1-122-2-2-1-1111100-2-1-111000000
χ132222-122-1-1-1-2-222-1-1-1-1-1-100-21111000000
χ142222-122-1-1-1-2-2-2-2-1-1111100211-1-1000000
χ1522-2-222-22-2-200002-2000000000002-20000
χ1622-2-222-22-2-200002-200000000000-220000
χ1722-2-22-222-2-22i−2i00-2200000002i−2i00000000
χ1822-2-22-222-2-2−2i2i00-220000000−2i2i00000000
χ1922-2-2-1-22-1112i−2i001-1−i3−i3i3i3000−ii3−3000000
χ2022-2-2-1-22-1112i−2i001-1i3i3−i3−i3000−ii−33000000
χ2122-2-2-1-22-111−2i2i001-1−i3−i3i3i3000i−i−33000000
χ2222-2-2-1-22-111−2i2i001-1i3i3−i3−i3000i−i3−3000000
χ232-22-2200-22-200−i2i200−i2i2−i2i22i−2i000000002−20
χ242-22-2200-22-200−i2i200−i2i2−i2i2−2i2i00000000−220
χ252-22-2200-22-200i2−i200i2−i2i2−i22i−2i00000000−220
χ262-22-2200-22-200i2−i200i2−i2i2−i2−2i2i000000002−20
χ274444-2-4-4-2-2-200002200000000000000000
χ2844-4-4-24-4-2220000-2200000000000000000
χ294-44-4-2002-2200−2i22i200i2−i2i2−i20000000000000
χ304-44-4-2002-22002i2−2i200−i2i2−i2i20000000000000
χ314-4-44400-4-4400000000000000000000000
χ324-4-44-20022-20000006−6−660000000000000
χ334-4-44-20022-2000000−666−60000000000000

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