Finite Group Databasebeta

← Group #85532

Character table — Group #85532

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34
size1124668812121216161624242411246688121212161616242424
order124224364446612288224224664446612288
χ11111111111111111111111111111111111
χ2111111111-1-1111-1-1-1111111111-1-1111-1-1-1
χ3111-11111-111-1-11-11-1111-11111-111-1-11-11-1
χ4111-11111-1-1-1-1-111-11111-11111-1-1-1-1-111-11
χ5222222-1-1200-1-1-1000222222-1-1200-1-1-1000
χ6222-222-1-1-20011-1000222-222-1-1-20011-1000
χ722-20-222200000-200022-20-222200000-2000
χ822-20-22-1-1000−i3i3100022-20-22-1-1000−i3i31000
χ922-20-22-1-1000i3−i3100022-20-22-1-1000i3−i31000
χ103333-1-100-111000-1-113333-1-100-111000-1-11
χ113333-1-100-1-1-100011-13333-1-100-1-1-100011-1
χ12333-3-1-1001110001-1-1333-3-1-1001110001-1-1
χ13333-3-1-1001-1-1000-111333-3-1-1001-1-1000-111
χ144-40000-2202i−2i0000004-40000-2202i−2i000000
χ154-40000-220−2i2i0000004-40000-220−2i2i000000
χ1666-602-20000000000066-602-200000000000
χ178-800002-20000000008-800002-2000000000
χ1811111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ19111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111
χ20111-11111-111-1-11-11-1-1-1-11-1-1-1-11-1-111-11-11
χ21111-11111-1-1-1-1-111-11-1-1-11-1-1-1-111111-1-11-1
χ22222222-1-1200-1-1-1000-2-2-2-2-2-211-200111000
χ23222-222-1-1-20011-1000-2-2-22-2-211200-1-11000
χ2422-20-222200000-2000-2-2202-2-2-2000002000
χ2522-20-22-1-1000−i3i31000-2-2202-211000i3−i3-1000
χ2622-20-22-1-1000i3−i31000-2-2202-211000−i3i3-1000
χ273333-1-100-111000-1-11-3-3-3-311001-1-100011-1
χ283333-1-100-1-1-100011-1-3-3-3-31100111000-1-11
χ29333-3-1-1001110001-1-1-3-3-331100-1-1-1000-111
χ30333-3-1-1001-1-1000-111-3-3-331100-1110001-1-1
χ314-40000-2202i−2i000000-4400002-20−2i2i000000
χ324-40000-220−2i2i000000-4400002-202i−2i000000
χ3366-602-200000000000-6-660-2200000000000
χ348-800002-2000000000-880000-22000000000

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