Finite Group Databasebeta

← Group #11922477

Character table — Group #11922477

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size112466881212121616162424242248121216162424243232324848483361218182424363636484848727272
order1242243644466122883612661236121212661262424224224664446612288
χ1111111111111111111111111111111111111111111111111111
χ2111111111-1-1111-1-1-1111111111-1-1111-1-1-1111111111-1-1111-1-1-1
χ3111-11111-111-1-11-11-1111-11111-111-1-11-11-1111-11111-111-1-11-11-1
χ4111-11111-1-1-1-1-111-11111-11111-1-1-1-1-111-11111-11111-1-1-1-1-111-11
χ5222222-1-1200-1-1-1000222222-1-1200-1-1-1000222222-1-1200-1-1-1000
χ6222-222-1-1-20011-1000222-222-1-1-20011-1000222-222-1-1-20011-1000
χ722-20-222200000-200022-20-222200000-200022-20-222200000-2000
χ822-20-22-1-1000−i3i3100022-20-22-1-1000−i3i3100022-20-22-1-1000−i3i31000
χ922-20-22-1-1000i3−i3100022-20-22-1-1000i3−i3100022-20-22-1-1000i3−i31000
χ103333-1-100-111000-1-113333-1-100-111000-1-113333-1-100-111000-1-11
χ113333-1-100-1-1-100011-13333-1-100-1-1-100011-13333-1-100-1-1-100011-1
χ12333-3-1-1001110001-1-1333-3-1-1001110001-1-1333-3-1-1001110001-1-1
χ13333-3-1-1001-1-1000-111333-3-1-1001-1-1000-111333-3-1-1001-1-1000-111
χ144-40000-2202i−2i0000004-40000-2202i−2i0000004-40000-2202i−2i000000
χ154-40000-220−2i2i0000004-40000-220−2i2i0000004-40000-220−2i2i000000
χ1666-602-20000000000066-602-20000000000066-602-200000000000
χ178-800002-20000000008-800002-20000000008-800002-2000000000
χ181111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ19111111111-1-1111-1-1-1111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111
χ20111-11111-111-1-11-11-1111-11111-111-1-11-11-1-1-1-11-1-1-1-11-1-111-11-11
χ21111-11111-1-1-1-1-111-11111-11111-1-1-1-1-111-11-1-1-11-1-1-1-111111-1-11-1
χ22222222-1-1200-1-1-1000222222-1-1200-1-1-1000-2-2-2-2-2-211-200111000
χ23222-222-1-1-20011-1000222-222-1-1-20011-1000-2-2-22-2-211200-1-11000
χ2422-20-222200000-200022-20-222200000-2000-2-2202-2-2-2000002000
χ2522-20-22-1-1000−i3i3100022-20-22-1-1000−i3i31000-2-2202-211000i3−i3-1000
χ2622-20-22-1-1000i3−i3100022-20-22-1-1000i3−i31000-2-2202-211000−i3i3-1000
χ273333-1-100-111000-1-113333-1-100-111000-1-11-3-3-3-311001-1-100011-1
χ283333-1-100-1-1-100011-13333-1-100-1-1-100011-1-3-3-3-31100111000-1-11
χ29333-3-1-1001110001-1-1333-3-1-1001110001-1-1-3-3-331100-1-1-1000-111
χ30333-3-1-1001-1-1000-111333-3-1-1001-1-1000-111-3-3-331100-1110001-1-1
χ314-40000-2202i−2i0000004-40000-2202i−2i000000-4400002-20−2i2i000000
χ324-40000-220−2i2i0000004-40000-220−2i2i000000-4400002-202i−2i000000
χ3366-602-20000000000066-602-200000000000-6-660-2200000000000
χ348-800002-20000000008-800002-2000000000-880000-22000000000
χ3522222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000
χ36222222222-2-2222-2-2-2-1-1-1-1-1-1-1-1-111-1-1-111100000000000000000
χ37222-22222-222-2-22-22-2-1-1-11-1-1-1-11-1-111-11-1100000000000000000
χ38222-22222-2-2-2-2-222-22-1-1-11-1-1-1-111111-1-11-100000000000000000
χ39444444-2-2400-2-2-2000-2-2-2-2-2-211-20011100000000000000000000
χ40444-444-2-2-40022-2000-2-2-22-2-211200-1-1100000000000000000000
χ4144-40-444400000-4000-2-2202-2-2-200000200000000000000000000
χ4244-40-44-2-2000−2i32i32000-2-2202-211000i3−i3-100000000000000000000
χ4344-40-44-2-20002i3−2i32000-2-2202-211000−i3i3-100000000000000000000
χ446666-2-200-222000-2-22-3-3-3-311001-1-100011-100000000000000000
χ456666-2-200-2-2-200022-2-3-3-3-31100111000-1-1100000000000000000
χ46666-6-2-2002220002-2-2-3-3-331100-1-1-1000-11100000000000000000
χ47666-6-2-2002-2-2000-222-3-3-331100-1110001-1-100000000000000000
χ488-80000-4404i−4i000000-4400002-20−2i2i00000000000000000000000
χ498-80000-440−4i4i000000-4400002-202i−2i00000000000000000000000
χ501212-1204-400000000000-6-660-220000000000000000000000000000
χ5116-1600004-4000000000-880000-2200000000000000000000000000

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