Finite Group Databasebeta

← Group #11788357

Character table — Group #11788357

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11222444444446666888888888991212121212121212121216161818182424242424242424242436364848484872727272
order1224433668812122244661212122424242422246688881212242424444688122424242488121224244488
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-1
χ31111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111111-111-1-1-1-1-1111111-1-1-1-1
χ41111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111-1-111111111111-1-1-1-1111111-1-1-1-111-1-1111111-1-11-1-1-1-1-1-111-1-111-1-1
χ6111111111-1-111111111111-1-1-1-1111111-1-1-1-111-1-1111-1-11111-1-1-1-1-1-1-1-111-1-111
χ7111111111-1-111-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-111-1-1-1-111
χ8111111111-1-111-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1111-1-1-111-11111-1-1-1-11111-1-1
χ9111-1-11111i−i-1-111-1-111-1-1-1ii−i−i111-111ii−i−i-1-1i−i1-1-11-11i−i-1ii−i−ii−i1-1i−i1-1i−i
χ10111-1-11111i−i-1-111-1-111-1-1-1ii−i−i111-111ii−i−i-1-1i−i1-1-1-111−ii-1ii−i−ii−i-11−ii-11−ii
χ11111-1-11111i−i-1-1-1-11111-1-1-1ii−i−i11-11-1-1−i−iii11i−i1-1-11-1-1i−i1−i−iiii−i1-1i−i-11−ii
χ12111-1-11111i−i-1-1-1-11111-1-1-1ii−i−i11-11-1-1−i−iii11i−i1-1-1-11-1−ii1−i−iiii−i-11−ii1-1i−i
χ13111-1-11111−ii-1-111-1-111-1-1-1−i−iii111-111−i−iii-1-1−ii1-1-11-11−ii-1−i−iii−ii1-1−ii1-1−ii
χ14111-1-11111−ii-1-111-1-111-1-1-1−i−iii111-111−i−iii-1-1−ii1-1-1-111i−i-1−i−iii−ii-11i−i-11i−i
χ15111-1-11111−ii-1-1-1-11111-1-1-1−i−iii11-11-1-1ii−i−i11−ii1-1-11-1-1−ii1ii−i−i−ii1-1−ii-11i−i
χ16111-1-11111−ii-1-1-1-11111-1-1-1−i−iii11-11-1-1ii−i−i11−ii1-1-1-11-1i−i1ii−i−i−ii-11i−i1-1−ii
χ1722222222222220000222222222-2-2000000000022-2-2-20000000000-2-200000000
χ18222222222-2-222000022222-2-2-2-2-2-20000000000-2-2-2-2-200000000002200000000
χ19222-2-222222i−2i-2-2000022-2-2-22i2i−2i−2i-2-200000000002i−2i-2220000000000−2i2i00000000
χ20222-2-22222−2i2i-2-2000022-2-2-2−2i−2i2i2i-2-20000000000−2i2i-22200000000002i−2i00000000
χ2122-22-2222200-2-20000-2-22-220000-2-200002i−2i2i−2i000022-20000002i−2i2i−2i0000000000
χ2222-22-2222200-2-20000-2-22-220000-2-20000−2i2i−2i2i000022-2000000−2i2i−2i2i0000000000
χ2322-22-2222200-2-222-2-2-2-22-22000022-22220000-2-200-2-2200-200200000000000000
χ2422-22-2222200-2-2-2-222-2-22-220000222-2-2-200002200-2-2200200-200000000000000
χ2522-2-22222200220000-2-2-22-20000-2-200002-2-2200002-220000002-2-220000000000
χ2622-2-22222200220000-2-2-22-20000-2-20000-222-200002-22000000-222-20000000000
χ2722-2-22222200222222-2-2-22-2000022-2-22200002200-22-200-200-200000000000000
χ2822-2-2222220022-2-2-2-2-2-2-22-200002222-2-20000-2-200-22-200200200000000000000
χ29444441-2-2144-2-200001-2-211-2-2-2-200000000000011000220220000000-1-1-1-10000
χ30444441-2-2144-2-200001-2-211-2-2-2-200000000000011000-2-20-2-2000000011110000
χ31444441-2-21-4-4-2-200001-2-2112222000000000000-1-1000220-2-20000000-1-1110000
χ32444441-2-21-4-4-2-200001-2-2112222000000000000-1-1000-2-2022000000011-1-10000
χ3344444-211-244112222-211-2-211110022-1-12222-1-1-2-200000-100-1-1-1-1-10000000000
χ3444444-211-24411-2-2-2-2-211-2-2111100-2-211-2-2-2-211-2-200000100111110000000000
χ3544444-211-2-4-4112222-211-2-2-1-1-1-10022-1-1-2-2-2-2-1-12200000-100-111110000000000
χ3644444-211-2-4-411-2-2-2-2-211-2-2-1-1-1-100-2-21122221122000001001-1-1-1-10000000000
χ37444-4-41-2-214i−4i2200001-22-1-1−2i−2i2i2i000000000000i−i0002-202i−2i0000000-11−ii0000
χ38444-4-41-2-214i−4i2200001-22-1-1−2i−2i2i2i000000000000i−i000-220−2i2i00000001-1i−i0000
χ39444-4-41-2-21−4i4i2200001-22-1-12i2i−2i−2i000000000000−ii0002-20−2i2i0000000-11i−i0000
χ40444-4-41-2-21−4i4i2200001-22-1-12i2i−2i−2i000000000000−ii000-2202i−2i00000001-1−ii0000
χ41444-4-4-211-24i−4i-1-122-2-2-21-122ii−i−i002-2-1-12i2i−2i−2i11−2i2i00000-1001−i−iii0000000000
χ42444-4-4-211-24i−4i-1-1-2-222-21-122ii−i−i00-2211−2i−2i2i2i-1-1−2i2i00000100-1ii−i−i0000000000
χ43444-4-4-211-2−4i4i-1-122-2-2-21-122−i−iii002-2-1-1−2i−2i2i2i112i−2i00000-1001ii−i−i0000000000
χ44444-4-4-211-2−4i4i-1-1-2-222-21-122−i−iii00-22112i2i−2i−2i-1-12i−2i00000100-1−i−iii0000000000
χ4544-44-4-211-200-1-122-2-22-112-23i−3i3i−3i00-22-1-12i−2i2i−2i110000000100-1−ii−ii0000000000
χ4644-44-4-211-200-1-122-2-22-112-2−3i3i−3i3i00-22-1-1−2i2i−2i2i110000000100-1i−ii−i0000000000
χ4744-44-4-211-200-1-1-2-2222-112-23i−3i3i−3i002-211−2i2i−2i2i-1-10000000-1001i−ii−i0000000000
χ4844-44-4-211-200-1-1-2-2222-112-2−3i3i−3i3i002-2112i−2i2i−2i-1-10000000-1001−ii−ii0000000000
χ4944-4-44-211-2001122222-1-1-223-3-3300-2-2-1-12-2-22-1-100000001001-111-10000000000
χ5044-4-44-211-2001122222-1-1-22-333-300-2-2-1-1-222-2-1-1000000010011-1-110000000000
χ5144-4-44-211-20011-2-2-2-22-1-1-223-3-33002211-222-2110000000-100-11-1-110000000000
χ5244-4-44-211-20011-2-2-2-22-1-1-22-333-30022112-2-22110000000-100-1-111-10000000000
χ534-400044-4-40000004i−4i000000000-44000000004i−4i0000000000000000000000000
χ544-400044-4-4000000−4i4i000000000-4400000000−4i4i0000000000000000000000000
χ554-400044-4-400004-4000000000004-4004-40000000000000000000000000000000
χ564-400044-4-40000-44000000000004-400-440000000000000000000000000000000
χ5788-88-82-4-4200440000-24-4-2200000000000000000000000000000000000000000
χ5888-8-882-4-4200-4-40000-2442-200000000000000000000000000000000000000000
χ598-8000-42-24006i−6i4-44i−4i0000000000000-220000−2i2i0000000000000000000000000
χ608-8000-42-24006i−6i-44−4i4i00000000000002-200002i−2i0000000000000000000000000
χ618-8000-42-2400−6i6i4-4−4i4i0000000000000-2200002i−2i0000000000000000000000000
χ628-8000-42-2400−6i6i-444i−4i00000000000002-20000−2i2i0000000000000000000000000
χ6316-160004-88-4000000000000000000000000000000000000000000000000000000

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