Finite Group Databasebeta

← Group #14513596

Character table — Group #14513596

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size1124668812121216161624242422481212161624242432323248484822481212161624242432323248484855102030304040606060808080120120120
order124224364446612488510201010201530202020303060204040510201010201530202020303060204040224224664446612488
χ111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111-1-1111-1-1-1111111111-1-1111-1-1-1111111111-1-1111-1-1-1111111111-1-1111-1-1-1
χ3111-11111-111-1-11-11-1111-11111-111-1-11-11-1111-11111-111-1-11-11-1111-11111-111-1-11-11-1
χ4111-11111-1-1-1-1-111-11111-11111-1-1-1-1-111-11111-11111-1-1-1-1-111-11111-11111-1-1-1-1-111-11
χ5222222-1-1200-1-1-1000222222-1-1200-1-1-1000222222-1-1200-1-1-1000222222-1-1200-1-1-1000
χ6222-222-1-1-20011-1000222-222-1-1-20011-1000222-222-1-1-20011-1000222-222-1-1-20011-1000
χ722-20-222200000-200022-20-222200000-200022-20-222200000-200022-20-222200000-2000
χ822-20-22-1-1000i3−i3100022-20-22-1-1000i3−i3100022-20-22-1-1000i3−i3100022-20-22-1-1000i3−i31000
χ922-20-22-1-1000−i3i3100022-20-22-1-1000−i3i3100022-20-22-1-1000−i3i3100022-20-22-1-1000−i3i31000
χ103333-1-100-111000-1-113333-1-100-111000-1-113333-1-100-111000-1-113333-1-100-111000-1-11
χ113333-1-100-1-1-100011-13333-1-100-1-1-100011-13333-1-100-1-1-100011-13333-1-100-1-1-100011-1
χ12333-3-1-1001110001-1-1333-3-1-1001110001-1-1333-3-1-1001110001-1-1333-3-1-1001110001-1-1
χ13333-3-1-1001-1-1000-111333-3-1-1001-1-1000-111333-3-1-1001-1-1000-111333-3-1-1001-1-1000-111
χ144-40000-2202-20000004-40000-2202-20000004-40000-2202-20000004-40000-2202-2000000
χ154-40000-220-220000004-40000-220-220000004-40000-220-220000004-40000-220-22000000
χ1666-602-20000000000066-602-20000000000066-602-20000000000066-602-200000000000
χ178-800002-20000000008-800002-20000000008-800002-20000000008-800002-2000000000
χ18111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ19111111111-1-1111-1-1-1111111111-1-1111-1-1-1111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111
χ20111-11111-111-1-11-11-1111-11111-111-1-11-11-1111-11111-111-1-11-11-1-1-1-11-1-1-1-11-1-111-11-11
χ21111-11111-1-1-1-1-111-11111-11111-1-1-1-1-111-11111-11111-1-1-1-1-111-11-1-1-11-1-1-1-111111-1-11-1
χ22222222-1-1200-1-1-1000222222-1-1200-1-1-1000222222-1-1200-1-1-1000-2-2-2-2-2-211-200111000
χ23222-222-1-1-20011-1000222-222-1-1-20011-1000222-222-1-1-20011-1000-2-2-22-2-211200-1-11000
χ2422-20-222200000-200022-20-222200000-200022-20-222200000-2000-2-2202-2-2-2000002000
χ2522-20-22-1-1000i3−i3100022-20-22-1-1000i3−i3100022-20-22-1-1000i3−i31000-2-2202-211000−i3i3-1000
χ2622-20-22-1-1000−i3i3100022-20-22-1-1000−i3i3100022-20-22-1-1000−i3i31000-2-2202-211000i3−i3-1000
χ273333-1-100-111000-1-113333-1-100-111000-1-113333-1-100-111000-1-11-3-3-3-311001-1-100011-1
χ283333-1-100-1-1-100011-13333-1-100-1-1-100011-13333-1-100-1-1-100011-1-3-3-3-31100111000-1-11
χ29333-3-1-1001110001-1-1333-3-1-1001110001-1-1333-3-1-1001110001-1-1-3-3-331100-1-1-1000-111
χ30333-3-1-1001-1-1000-111333-3-1-1001-1-1000-111333-3-1-1001-1-1000-111-3-3-331100-1110001-1-1
χ314-40000-2202-20000004-40000-2202-20000004-40000-2202-2000000-4400002-20-22000000
χ324-40000-220-220000004-40000-220-220000004-40000-220-22000000-4400002-202-2000000
χ3366-602-20000000000066-602-20000000000066-602-200000000000-6-660-2200000000000
χ348-800002-20000000008-800002-20000000008-800002-2000000000-880000-22000000000
χ3522222222222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200000000000000000
χ36222222222-2-2222-2-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+52−1+521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−52−1−521+521+521+5200000000000000000
χ37222-22222-222-2-22-22-2−1+52−1+52−1+521−52−1+52−1+52−1+52−1+521−52−1+52−1+521−521−52−1+521−52−1+521−52−1−52−1−52−1−521+52−1−52−1−52−1−52−1−521+52−1−52−1−521+521+52−1−521+52−1−521+5200000000000000000
χ38222-22222-2-2-2-2-222-22−1+52−1+52−1+521−52−1+52−1+52−1+52−1+521−521−521−521−521−52−1+52−1+521−52−1+52−1−52−1−52−1−521+52−1−52−1−52−1−52−1−521+521+521+521+521+52−1−52−1−521+52−1−5200000000000000000
χ39444444-2-2400-2-2-2000−1+5−1+5−1+5−1+5−1+5−1+51−521−52−1+5001−521−521−52000−1−5−1−5−1−5−1−5−1−5−1−51+521+52−1−5001+521+521+5200000000000000000000
χ40444-444-2-2-40022-2000−1+5−1+5−1+51−5−1+5−1+51−521−521−500−1+52−1+521−52000−1−5−1−5−1−51+5−1−5−1−51+521+521+500−1−52−1−521+5200000000000000000000
χ4144-40-444400000-4000−1+5−1+51−501−5−1+5−1+5−1+5000001−5000−1−5−1−51+501+5−1−5−1−5−1−5000001+500000000000000000000
χ4244-40-44-2-20002i3−2i32000−1+5−1+51−501−5−1+51−521−52000ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13−1+52000−1−5−1−51+501+5−1−51+521+52000−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14−1−5200000000000000000000
χ4344-40-44-2-2000−2i32i32000−1+5−1+51−501−5−1+51−521−52000−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13−1+52000−1−5−1−51+501+5−1−51+521+52000ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14−1−5200000000000000000000
χ446666-2-200-222000-2-22−3+352−3+352−3+352−3+3521−521−52001−52−1+52−1+520001−521−52−1+52−3−352−3−352−3−352−3−3521+521+52001+52−1−52−1−520001+521+52−1−5200000000000000000
χ456666-2-200-2-2-200022-2−3+352−3+352−3+352−3+3521−521−52001−521−521−52000−1+52−1+521−52−3−352−3−352−3−352−3−3521+521+52001+521+521+52000−1−52−1−521+5200000000000000000
χ46666-6-2-2002220002-2-2−3+352−3+352−3+3523−3521−521−5200−1+52−1+52−1+52000−1+521−521−52−3−352−3−352−3−3523+3521+521+5200−1−52−1−52−1−52000−1−521+521+5200000000000000000
χ47666-6-2-2002-2-2000-222−3+352−3+352−3+3523−3521−521−5200−1+521−521−520001−52−1+52−1+52−3−352−3−352−3−3523+3521+521+5200−1−521+521+520001+52−1−52−1−5200000000000000000
χ488-80000-4404-4000000−2+252−2500001−5−1+50−1+51−5000000−2−252+2500001+5−1−50−1−51+500000000000000000000000
χ498-80000-440-44000000−2+252−2500001−5−1+501−5−1+5000000−2−252+2500001+5−1−501+5−1−500000000000000000000000
χ501212-1204-400000000000−3+35−3+353−350−1+51−500000000000−3−35−3−353+350−1−51+50000000000000000000000000000
χ5116-1600004-4000000000−4+454−450000−1+51−5000000000−4−454+450000−1−51+500000000000000000000000000
χ5222222222222222222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5200000000000000000
χ53222222222-2-2222-2-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−52−1−521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+52−1+521−521−521−5200000000000000000
χ54222-22222-222-2-22-22-2−1−52−1−52−1−521+52−1−52−1−52−1−52−1−521+52−1−52−1−521+521+52−1−521+52−1−521+52−1+52−1+52−1+521−52−1+52−1+52−1+52−1+521−52−1+52−1+521−521−52−1+521−52−1+521−5200000000000000000
χ55222-22222-2-2-2-2-222-22−1−52−1−52−1−521+52−1−52−1−52−1−52−1−521+521+521+521+521+52−1−52−1−521+52−1−52−1+52−1+52−1+521−52−1+52−1+52−1+52−1+521−521−521−521−521−52−1+52−1+521−52−1+5200000000000000000
χ56444444-2-2400-2-2-2000−1−5−1−5−1−5−1−5−1−5−1−51+521+52−1−5001+521+521+52000−1+5−1+5−1+5−1+5−1+5−1+51−521−52−1+5001−521−521−5200000000000000000000
χ57444-444-2-2-40022-2000−1−5−1−5−1−51+5−1−5−1−51+521+521+500−1−52−1−521+52000−1+5−1+5−1+51−5−1+5−1+51−521−521−500−1+52−1+521−5200000000000000000000
χ5844-40-444400000-4000−1−5−1−51+501+5−1−5−1−5−1−5000001+5000−1+5−1+51−501−5−1+5−1+5−1+5000001−500000000000000000000
χ5944-40-44-2-20002i3−2i32000−1−5−1−51+501+5−1−51+521+52000−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14−1−52000−1+5−1+51−501−5−1+51−521−52000ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13−1+5200000000000000000000
χ6044-40-44-2-2000−2i32i32000−1−5−1−51+501+5−1−51+521+52000ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14−1−52000−1+5−1+51−501−5−1+51−521−52000−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13−1+5200000000000000000000
χ616666-2-200-222000-2-22−3−352−3−352−3−352−3−3521+521+52001+52−1−52−1−520001+521+52−1−52−3+352−3+352−3+352−3+3521−521−52001−52−1+52−1+520001−521−52−1+5200000000000000000
χ626666-2-200-2-2-200022-2−3−352−3−352−3−352−3−3521+521+52001+521+521+52000−1−52−1−521+52−3+352−3+352−3+352−3+3521−521−52001−521−521−52000−1+52−1+521−5200000000000000000
χ63666-6-2-2002220002-2-2−3−352−3−352−3−3523+3521+521+5200−1−52−1−52−1−52000−1−521+521+52−3+352−3+352−3+3523−3521−521−5200−1+52−1+52−1+52000−1+521−521−5200000000000000000
χ64666-6-2-2002-2-2000-222−3−352−3−352−3−3523+3521+521+5200−1−521+521+520001+52−1−52−1−52−3+352−3+352−3+3523−3521−521−5200−1+521−521−520001−52−1+52−1+5200000000000000000
χ658-80000-4404-4000000−2−252+2500001+5−1−50−1−51+5000000−2+252−2500001−5−1+50−1+51−500000000000000000000000
χ668-80000-440-44000000−2−252+2500001+5−1−501+5−1−5000000−2+252−2500001−5−1+501−5−1+500000000000000000000000
χ671212-1204-400000000000−3−35−3−353+350−1−51+500000000000−3+35−3+353−350−1+51−50000000000000000000000000000
χ6816-1600004-4000000000−4−454+450000−1−51+5000000000−4+454−450000−1+51−500000000000000000000000000

Here ζ is a primitive root of unity of order 15 (ζ15 = 1); i = ζ3.