Finite Group Databasebeta

← Group #11868143

Character table — Group #11868143

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11222444444448888888881212121212121212121212121616181818182424242424242424242436364848484872727272
order12244336688121266121212242424242244888824242424242422442224661212242488666128888
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-111-1-1
χ6111111111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-111
χ7111111111-1-11111111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-111-1-111-1-1-1-111
χ8111111111-1-11111111-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-111-1-1-1-11111-1-1
χ911-1-1111111-111-1-1-1-1111-1-11-11-111-1-111111-11-1-111-11-11-11-1-1-11-11-11-11-11-1
χ1011-1-1111111-111-1-1-1-1111-1-11-11-111-1-111111-11-1-11-11-111-11-1-1-11-1-11-11-11-11
χ1111-1-1111111-111-1-1-1-1111-1-1-11-11-1-111-1-1-1-11-11-1-111-11-1-11-11111-11-11-1-11-11
χ1211-1-1111111-111-1-1-1-1111-1-1-11-11-1-111-1-1-1-11-11-1-11-11-11-11-11111-1-11-111-11-1
χ1311-1-111111-1111-1-1-1-11-1-1111-11-1-1-111-1-1-1-1-111-1-111-1-111-11-111-111-1-111-1-11
χ1411-1-111111-1111-1-1-1-11-1-1111-11-1-1-111-1-1-1-1-111-1-11-111-11-11-111-11-111-1-111-1
χ1511-1-111111-1111-1-1-1-11-1-111-11-1111-1-11111-111-1-111-1-11-11-11-1-1-111-1-11-111-1
χ1611-1-111111-1111-1-1-1-11-1-111-11-1111-1-11111-111-1-11-111-1-11-11-1-1-11-111-11-1-11
χ17222222222222222222222200000000000022-2-2-2-20000000000-2-200000000
χ18222222222-2-22222222-2-2-2-2000000000000-2-2-2-2-2-200000000002200000000
χ19222-2-2222200-2-222-2-2-2000000002i−2i2i−2i2i2i−2i−2i0022-2-2000000002i−2i0000000000
χ20222-2-2222200-2-222-2-2-200000000−2i2i−2i2i−2i−2i2i2i0022-2-200000000−2i2i0000000000
χ21222-2-2222200-2-222-2-2-200002-2-220000000000-2-22200002-2-22000000000000
χ22222-2-2222200-2-222-2-2-20000-222-20000000000-2-2220000-222-2000000000000
χ2322-22-2222200-2-2-2-222-2000000002i−2i−2i2i2i2i−2i−2i002-22-200000000−2i2i0000000000
χ2422-22-2222200-2-2-2-222-200000000−2i2i2i−2i−2i−2i2i2i002-22-2000000002i−2i0000000000
χ2522-22-2222200-2-2-2-222-2000022-2-20000000000-22-22000022-2-2000000000000
χ2622-22-2222200-2-2-2-222-20000-2-2220000000000-22-220000-2-222000000000000
χ2722-2-2222222-222-2-2-2-2222-2-20000000000002-2-222-20000000000-2200000000
χ2822-2-222222-2222-2-2-2-22-2-222000000000000-22-222-200000000002-200000000
χ29444441-21-244111-21-2-2111122222222-1-1-1-1-2-200000000-1-1-1-1-1-10000000000
χ30444441-21-244111-21-2-21111-2-2-2-2-2-2-2-21111-2-2000000001111110000000000
χ31444441-21-2-4-4111-21-2-2-1-1-1-12222-2-2-2-211112200000000-1-1-1-1110000000000
χ32444441-21-2-4-4111-21-2-2-1-1-1-1-2-2-2-22222-1-1-1-122000000001111-1-10000000000
χ3344444-21-2144-2-2-21-211-2-2-2-2000000000000110000222200000000-1-1-1-10000
χ3444444-21-2144-2-2-21-211-2-2-2-2000000000000110000-2-2-2-20000000011110000
χ3544444-21-21-4-4-2-2-21-2112222000000000000-1-1000022-2-200000000-1-1110000
χ3644444-21-21-4-4-2-2-21-2112222000000000000-1-10000-2-2220000000011-1-10000
χ37444-4-41-21-200-1-11-2-1223i−3i3i−3i2-2-222i−2i2i−2i−i−iii0000000000-111-1−ii0000000000
χ38444-4-41-21-200-1-11-2-1223i−3i3i−3i-222-2−2i2i−2i2iii−i−i00000000001-1-11i−i0000000000
χ39444-4-41-21-200-1-11-2-122−3i3i−3i3i2-2-22−2i2i−2i2iii−i−i0000000000-111-1i−i0000000000
χ40444-4-41-21-200-1-11-2-122−3i3i−3i3i-222-22i−2i2i−2i−i−iii00000000001-1-11−ii0000000000
χ4144-44-41-21-200-1-1-121-223i−3i−3i3i22-2-22i−2i−2i2i−i−iii0000000000-1-111i−i0000000000
χ4244-44-41-21-200-1-1-121-223i−3i−3i3i-2-222−2i2i2i−2iii−i−i000000000011-1-1−ii0000000000
χ4344-44-41-21-200-1-1-121-22−3i3i3i−3i22-2-2−2i2i2i−2iii−i−i0000000000-1-111−ii0000000000
χ4444-44-41-21-200-1-1-121-22−3i3i3i−3i-2-2222i−2i−2i2i−i−iii000000000011-1-1i−i0000000000
χ4544-4-441-21-24-411-12-12-211-1-12-22-222-2-2-1-1-1-1-2200000000-11-11110000000000
χ4644-4-441-21-24-411-12-12-211-1-1-22-22-2-2221111-22000000001-11-1-1-10000000000
χ4744-4-441-21-2-4411-12-12-2-1-1112-22-2-2-22211112-200000000-11-11-1-10000000000
χ4844-4-441-21-2-4411-12-12-2-1-111-22-2222-2-2-1-1-1-12-2000000001-11-1110000000000
χ4944-4-44-21-214-4-2-22-12-11-2-2220000000000001-100002-22-200000000-11-110000
χ5044-4-44-21-214-4-2-22-12-11-2-2220000000000001-10000-22-22000000001-11-10000
χ5144-4-44-21-21-44-2-22-12-1122-2-2000000000000-1100002-2-2200000000-111-10000
χ5244-4-44-21-21-44-2-22-12-1122-2-2000000000000-110000-222-2000000001-1-110000
χ53888-8-8-42-420044-424-2-2000000000000000000000000000000000000000000
χ5488-88-8-42-4200444-2-42-2000000000000000000000000000000000000000000
χ558-80002-4-24006i−6i00000000000000000−2ζ7+2ζ232ζ7−2ζ232ζ5−2ζ13−2ζ5+2ζ1300000000000000000000000000
χ568-80002-4-24006i−6i000000000000000002ζ7−2ζ23−2ζ7+2ζ23−2ζ5+2ζ132ζ5−2ζ1300000000000000000000000000
χ578-80002-4-2400−6i6i000000000000000002ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ2300000000000000000000000000
χ588-80002-4-2400−6i6i00000000000000000−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ2300000000000000000000000000
χ598-800088-8-8000000000000000000000000000000000000000000000000000
χ6016-16000-848-4000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.