Finite Group Databasebeta

← Group #11788455

Character table — Group #11788455

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11222444444448888888881212121212121212121212121616181818182424242424242424242436364848484872727272
order12244336688121266121212242424242244668888121224242244226881224242424886624244488
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1111111-1-1-1-1
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
χ5111111111-1-11111111-1-1-1-1111111-1-1-1-111-1-11111111-1-11-1-1-1-1-1-111-1-1-1-111
χ6111111111-1-11111111-1-1-1-1111111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1
χ7111111111-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-1
χ8111111111-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-111-11111-1-1-1-111-1-111
χ9111-1-11111i−i-1-111-1-1-1ii−i−i11-1-111ii−i−i-1-1i−i-1-1111-11i−i-1ii−i−ii−i1-1i−ii−i1-1
χ10111-1-11111i−i-1-111-1-1-1ii−i−i11-1-111ii−i−i-1-1i−i-1-111-111−ii-1ii−i−ii−i-11−ii−ii-11
χ11111-1-11111i−i-1-111-1-1-1ii−i−i-1-111-1-1−i−iii11i−i-1-1111-1-1i−i1−i−iiii−i1-1i−i−ii-11
χ12111-1-11111i−i-1-111-1-1-1ii−i−i-1-111-1-1−i−iii11i−i-1-111-11-1−ii1−i−iiii−i-11−iii−i1-1
χ13111-1-11111−ii-1-111-1-1-1−i−iii11-1-111−i−iii-1-1−ii-1-1111-11−ii-1−i−iii−ii1-1−ii−ii1-1
χ14111-1-11111−ii-1-111-1-1-1−i−iii11-1-111−i−iii-1-1−ii-1-111-111i−i-1−i−iii−ii-11i−ii−i-11
χ15111-1-11111−ii-1-111-1-1-1−i−iii-1-111-1-1ii−i−i11−ii-1-1111-1-1−ii1ii−i−i−ii1-1−iii−i-11
χ16111-1-11111−ii-1-111-1-1-1−i−iii-1-111-1-1ii−i−i11−ii-1-111-11-1i−i1ii−i−i−ii-11i−i−ii1-1
χ17222222222222222222222200000000000022-2-2-2-20000000000-2-200000000
χ18222222222-2-22222222-2-2-2-2000000000000-2-2-2-2-2-200000000002200000000
χ19222-2-222222i−2i-2-222-2-2-22i2i−2i−2i0000000000002i−2i22-2-20000000000−2i2i00000000
χ20222-2-22222−2i2i-2-222-2-2-2−2i−2i2i2i000000000000−2i2i22-2-200000000002i−2i00000000
χ2122-22-2222200-2-2-2-22-2200000000002i−2i2i−2i00002-22-20000002i−2i2i−2i0000000000
χ2222-22-2222200-2-2-2-22-220000000000−2i2i−2i2i00002-22-2000000−2i2i−2i2i0000000000
χ2322-22-2222200-2-2-2-22-2200002-22-2220000-2-200-22-2200-200200000000000000
χ2422-22-2222200-2-2-2-22-220000-22-22-2-200002200-22-2200200-200000000000000
χ2522-2-2222220022-2-2-22-200000000002-2-220000-222-20000002-2-220000000000
χ2622-2-2222220022-2-2-22-20000000000-222-20000-222-2000000-222-20000000000
χ2722-2-2222220022-2-2-22-200002-2-2222000022002-2-2200-200-200000000000000
χ2822-2-2222220022-2-2-22-20000-222-2-2-20000-2-2002-2-2200200200000000000000
χ29444441-2-2144111-21-2-211112222-1-12222-1-1-2-2000000-100-1-1-1-1-10000000000
χ30444441-2-2144111-21-2-21111-2-2-2-211-2-2-2-211-2-2000000100111110000000000
χ31444441-2-21-4-4111-21-2-2-1-1-1-12222-1-1-2-2-2-2-1-122000000-100-111110000000000
χ32444441-2-21-4-4111-21-2-2-1-1-1-1-2-2-2-211222211220000001001-1-1-1-10000000000
χ3344444-211-244-2-2-21-211-2-2-2-2000000000000110000220220000000-1-1-1-10000
χ3444444-211-244-2-2-21-211-2-2-2-2000000000000110000-2-20-2-2000000011110000
χ3544444-211-2-4-4-2-2-21-2112222000000000000-1-10000220-2-20000000-1-1110000
χ3644444-211-2-4-4-2-2-21-2112222000000000000-1-10000-2-2022000000011-1-10000
χ37444-4-41-2-214i−4i-1-11-2-122ii−i−i22-2-2-1-12i2i−2i−2i11−2i2i000000-1001−i−iii0000000000
χ38444-4-41-2-214i−4i-1-11-2-122ii−i−i-2-22211−2i−2i2i2i-1-1−2i2i000000100-1ii−i−i0000000000
χ39444-4-41-2-21−4i4i-1-11-2-122−i−iii22-2-2-1-1−2i−2i2i2i112i−2i000000-1001ii−i−i0000000000
χ40444-4-41-2-21−4i4i-1-11-2-122−i−iii-2-222112i2i−2i−2i-1-12i−2i000000100-1−i−iii0000000000
χ41444-4-4-211-24i−4i22-212-1-1−2i−2i2i2i000000000000i−i00002-202i−2i0000000-11−ii0000
χ42444-4-4-211-24i−4i22-212-1-1−2i−2i2i2i000000000000i−i0000-220−2i2i00000001-1i−i0000
χ43444-4-4-211-2−4i4i22-212-1-12i2i−2i−2i000000000000−ii00002-20−2i2i0000000-11i−i0000
χ44444-4-4-211-2−4i4i22-212-1-12i2i−2i−2i000000000000−ii0000-2202i−2i00000001-1−ii0000
χ4544-44-41-2-2100-1-1-1212-23i−3i3i−3i2-22-2-1-12i−2i2i−2i1100000000100-1−ii−ii0000000000
χ4644-44-41-2-2100-1-1-1212-23i−3i3i−3i-22-2211−2i2i−2i2i-1-100000000-1001i−ii−i0000000000
χ4744-44-41-2-2100-1-1-1212-2−3i3i−3i3i2-22-2-1-1−2i2i−2i2i1100000000100-1i−ii−i0000000000
χ4844-44-41-2-2100-1-1-1212-2−3i3i−3i3i-22-22112i−2i2i−2i-1-100000000-1001−ii−ii0000000000
χ4944-4-441-2-210011-12-1-223-3-332-2-22-1-12-2-22-1-1000000001001-111-10000000000
χ5044-4-441-2-210011-12-1-223-3-33-222-211-222-21100000000-100-11-1-110000000000
χ5144-4-441-2-210011-12-1-22-333-32-2-22-1-1-222-2-1-10000000010011-1-110000000000
χ5244-4-441-2-210011-12-1-22-333-3-222-2112-2-221100000000-100-1-111-10000000000
χ5388-88-8-422-400444-2-4-22000000000000000000000000000000000000000000
χ5488-8-88-422-400-4-44-242-2000000000000000000000000000000000000000000
χ558-80002-44-2006i−6i0000000000000−2i32i3000023−2300000000000000000000000000
χ568-80002-44-2006i−6i00000000000002i3−2i30000−232300000000000000000000000000
χ578-80002-44-200−6i6i0000000000000−2i32i30000−232300000000000000000000000000
χ588-80002-44-200−6i6i00000000000002i3−2i3000023−2300000000000000000000000000
χ598-800088-8-8000000000000000000000000000000000000000000000000000
χ6016-16000-84-48000000000000000000000000000000000000000000000000000

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