Finite Group Databasebeta

← Group #11784629

Character table — Group #11784629

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11222444444446666888888888991212121212121212121216161818182424242424242424242436364848484872727272
order122222334666644446666666121222224444121212126122224444661212121224121212124444
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ31111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1
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
χ511111-111-111111111111-1-111-1-111-1-111-1-11111-1-111111-1-1-1-111-1-1-1-111-1-111-1-1
χ611111-111-111111111111-1-111-1-111-1-111-1-11111-1-1111-1-111-1-111-1-1-1-1-1-111-1-111
χ711111-111-11111-1-1-1-1111-1-111-1-11111-1-111-1-1-1-1-1-111111-1-111-1-111-1-111-1-1-1-111
χ811111-111-11111-1-1-1-1111-1-111-1-11111-1-111-1-1-1-1-1-1111-1-11111-1-111-1-1-1-11111-1-1
χ9111-1-1111-1111111111-1-111-1-1-1-111-1-1-1-11111111-11-1-1i−ii−i-1-1-1-1111-1i−ii−ii−ii−i
χ10111-1-1111-1111111111-1-111-1-1-1-111-1-1-1-11111111-11-1-1−ii−ii-1-1-1-1111-1−ii−ii−ii−ii
χ11111-1-1111-11111-1-1-1-11-1-111-1-1-1-1111111-1-1-1-1-1-11-11-1-1i−ii−i1111-1-11-1i−ii−i−ii−ii
χ12111-1-1111-11111-1-1-1-11-1-111-1-1-1-1111111-1-1-1-1-1-11-11-1-1−ii−ii1111-1-11-1−ii−iii−ii−i
χ13111-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-11111-111-1-1i−i−ii11-1-1-1-1-11i−i−iii−i−ii
χ14111-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-11111-111-1-1−iii−i11-1-1-1-1-11−iii−i−iii−i
χ15111-1-1-11111111-1-1-1-11-1-1-1-1-1-11111-1-11111-1-1-1-1-111-1-1i−i−ii-1-11111-11i−i−ii−iii−i
χ16111-1-1-11111111-1-1-1-11-1-1-1-1-1-11111-1-11111-1-1-1-1-111-1-1−iii−i-1-11111-11−iii−ii−i−ii
χ1722222222222220000222222222-2-2000000000022-2-2-20000000000-2-200000000
χ1822222-222-222220000222-2-222-2-2-2-20000000000-2-2-2-2-200000000002200000000
χ19222-2-2222-2222200002-2-222-2-2-2-2-2-200000000002-2-2220000000000-2200000000
χ20222-2-2-2222222200002-2-2-2-2-2-222-2-20000000000-22-22200000000002-200000000
χ2122-22-20220-2-2220000-22-2002-200-2-22-2002-200000022-200002-2002-20000000000
χ2222-22-20220-2-2220000-22-2002-200-2-2-2200-2200000022-20000-2200-220000000000
χ2322-22-20220-2-22222-2-2-22-2002-20022002-20022-2-200-2-220000002-2000000000000
χ2422-22-20220-2-222-2-222-22-2002-2002200-2200-2-22200-2-22000000-22000000000000
χ2522-2-220220-2-2220000-2-2200-2200-2-22-200-220000002-2200002-200-220000000000
χ2622-2-220220-2-2220000-2-2200-2200-2-2-22002-20000002-220000-22002-20000000000
χ2722-2-220220-2-22222-2-2-2-2200-22002200-220022-2-200-22-2000000-22000000000000
χ2822-2-220220-2-222-2-222-2-2200-220022002-200-2-22200-22-20000002-2000000000000
χ294444441-24-2-21-200001-2-2-2-211-2-200000000000011000222200000000-1-1-1-10000
χ304444441-24-2-21-200001-2-2-2-211-2-200000000000011000-2-2-2-20000000011110000
χ31444444-21411-212222-21111-2-21100222222-1-1-1-1-2-20000000-1-1-1-1-1-10000000000
χ32444444-21411-21-2-2-2-2-21111-2-21100-2-2-2-2-2-21111-2-200000001111110000000000
χ3344444-41-2-4-2-21-200001-2-2221122000000000000-1-100022-2-200000000-1-1110000
χ3444444-41-2-4-2-21-200001-2-2221122000000000000-1-1000-2-2220000000011-1-10000
χ3544444-4-21-411-212222-211-1-1-2-2-1-100-2-222-2-2-1-1-1-122000000011-1-1110000000000
χ3644444-4-21-411-21-2-2-2-2-211-1-1-2-2-1-10022-2-2221111220000000-1-111-1-10000000000
χ37444-4-441-2-4-2-21-20000122-2-2-1-1220000000000001-10002i−2i2i−2i00000000−ii−ii0000
χ38444-4-441-2-4-2-21-20000122-2-2-1-1220000000000001-1000−2i2i−2i2i00000000i−ii−i0000
χ39444-4-44-21-411-212222-2-1-11122-1-100-2-2-2-222-1-1-1-1-2200000001111-1-10000000000
χ40444-4-44-21-411-21-2-2-2-2-2-1-11122-1-1002222-2-21111-220000000-1-1-1-1110000000000
χ41444-4-4-41-24-2-21-2000012222-1-1-2-2000000000000-110002i−2i−2i2i00000000−iii−i0000
χ42444-4-4-41-24-2-21-2000012222-1-1-2-2000000000000-11000−2i2i2i−2i00000000i−i−ii0000
χ43444-4-4-4-21411-212222-2-1-1-1-122110022-2-2-2-2-1-1-1-12-20000000-1-111110000000000
χ44444-4-4-4-21411-21-2-2-2-2-2-1-1-1-1221100-2-2222211112-2000000011-1-1-1-10000000000
χ4544-44-40-210-1-1-2122-2-221-13-3-223-3002-22-22-2-1-111000000000-11-11-110000000000
χ4644-44-40-210-1-1-2122-2-221-1-33-22-3300-222-2-22-1-1110000000001-1-111-10000000000
χ4744-44-40-210-1-1-21-2-22221-13-3-223-300-22-22-2211-1-10000000001-11-11-10000000000
χ4844-44-40-210-1-1-21-2-22221-1-33-22-33002-2-222-211-1-1000000000-111-1-110000000000
χ4944-4-440-210-1-1-2122-2-22-113-32-2-3300-22-222-2-1-1110000000001-11-1-110000000000
χ5044-4-440-210-1-1-2122-2-22-11-332-23-3002-2-22-22-1-111000000000-111-11-10000000000
χ5144-4-440-210-1-1-21-2-2222-113-32-2-33002-22-2-2211-1-1000000000-11-111-10000000000
χ5244-4-440-210-1-1-21-2-2222-11-332-23-300-222-22-211-1-10000000001-1-11-110000000000
χ534-4000044000-4-4004i−4i0000000004-4000000004i−4i0000000000000000000000000
χ544-4000044000-4-400−4i4i0000000004-400000000−4i4i0000000000000000000000000
χ554-4000044000-4-44i−4i00000000000-440000004i−4i000000000000000000000000000
χ564-4000044000-4-4−4i4i00000000000-44000000−4i4i000000000000000000000000000
χ5788-88-802-40442-40000-2-44002-2000000000000000000000000000000000000000
χ5888-8-8802-40442-40000-24-400-22000000000000000000000000000000000000000
χ598-80000-4206-64-24i−4i4i−4i00000000000000000−2i2i−2i2i0000000000000000000000000
χ608-80000-4206-64-2−4i4i−4i4i000000000000000002i−2i2i−2i0000000000000000000000000
χ618-80000-420-664-24i−4i−4i4i00000000000000000−2i2i2i−2i0000000000000000000000000
χ628-80000-420-664-2−4i4i4i−4i000000000000000002i−2i−2i2i0000000000000000000000000
χ6316-1600004-8000-4800000000000000000000000000000000000000000000000000

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