Finite Group Databasebeta

← Group #11889319

Character table — Group #11889319

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size111122444444444488888888121212121212121216161818242424242424242424242424242424243636363636363648487272
order12224433446666661212121212121212224412121212121244244444661212121212121212224888861288
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-111111-1-111-11111-1-1-1-1-1-1111-1-1-1-111-1-1
χ3111111111111111111111111-1-11111111111-111-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111
χ511111111-1-11111111111-1-1-1-111111111-1-111-11-1-11-11111-1-111-1-11-1-11111-1-1-1-1
χ611111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11-111111111-1-1111-1-1-1-1-1-1-1-111
χ711111111-1-11111111111-1-1-1-1-1-1111111-1-11111-11-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-11111
χ811111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-11-1-1-1-111-1-1111-1-1111111-1-1
χ91111-1-1111-1111111-1-1-1-1-1-111111111111-111-1-1-11-1111-1-111-1-1-1-1-1-1111-1-1-111-1
χ101111-1-1111-1111111-1-1-1-1-1-11111-1-1-1-1-1-11-111-1111-1-111-1-1-1-11111-1-11-1-111-11-11
χ111111-1-1111-1111111-1-1-1-1-1-111-1-11111111-1111-1-1-111-1-11111-1-1-1-1-1-11-1-1111-1-11
χ121111-1-1111-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11-111111-11-1-1-111-1-11111-1-1111-1-11-11-1
χ131111-1-111-11111111-1-1-1-111-1-111111111-11111-11-1-1-111-1-1-1-1-1-111-11-111-1-11-1-11
χ141111-1-111-11111111-1-1-1-111-1-111-1-1-1-1-1-1-111111-1-1-1111-1-11111-1-1-11-1-1-1111-11-1
χ151111-1-111-11111111-1-1-1-111-1-1-1-1111111-1111-1-1111-1-1-111-1-1-1-111-11-1-1-111-111-1
χ161111-1-111-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111-11-1111-1-1111111-1-1-11-111-1-1-11-11
χ172222222222222222222222220000000022-2-20000000000000000-2-2-200000000
χ1822222222-2-22222222222-2-2-2-200000000-2-2-2-20000000000000000-22200000000
χ192222-2-2222-2222222-2-2-2-2-2-222000000002-2-2-2000000000000000022-200000000
χ202222-2-222-22222222-2-2-2-222-2-200000000-22-2-200000000000000002-2200000000
χ212-2-22002200-2-2-222-2000000002-22i−2i2i2i−2i−2i002-20000002-2000000000002i−2i000000
χ222-2-22002200-2-2-222-2000000002-2−2i2i−2i−2i2i2i002-20000002-200000000000−2i2i000000
χ232-2-22002200-2-2-222-200000000-222i−2i2i2i−2i−2i002-2000000-2200000000000−2i2i000000
χ242-2-22002200-2-2-222-200000000-22−2i2i−2i−2i2i2i002-2000000-22000000000002i−2i000000
χ254444441-244-21-21-2111-2-211110022-1-1-1-1-2-2000220020000-1-1-1-1-1-100000000000
χ264444441-244-21-21-2111-2-2111100-2-21111-2-2000-2-200-2000011111100000000000
χ274444441-2-4-4-21-21-2111-2-2-1-1-1-10022-1-1-1-1220002-200-2000011-1-11100000000000
χ284444441-2-4-4-21-21-2111-2-2-1-1-1-100-2-2111122000-220020000-1-111-1-100000000000
χ29444444-21441-21-21-2-2-211-2-2-2-2220000001100200220-1-1-1-10000000000000-1-100
χ30444444-21441-21-21-2-2-211-2-2-2-2-2-20000001100-200-2-20111100000000000001100
χ31444444-21-4-41-21-21-2-2-211222222000000-1-100-200-220-1-1-1-100000000000001100
χ32444444-21-4-41-21-21-2-2-2112222-2-2000000-1-1002002-2011110000000000000-1-100
χ334444-4-41-24-4-21-21-21-1-122-1-1110022-1-1-1-1-22000-2-20020000-1-1111100000000000
χ344444-4-41-24-4-21-21-21-1-122-1-11100-2-21111-220002200-2000011-1-1-1-100000000000
χ354444-4-41-2-44-21-21-21-1-12211-1-10022-1-1-1-12-2000-2200-200001111-1-100000000000
χ364444-4-41-2-44-21-21-21-1-12211-1-100-2-211112-20002-20020000-1-1-1-11100000000000
χ374444-4-4-214-41-21-21-222-1-122-2-2220000001-100-2002-20-1-11100000000000001-100
χ384444-4-4-214-41-21-21-222-1-122-2-2-2-20000001-100200-22011-1-10000000000000-1100
χ394444-4-4-21-441-21-21-222-1-1-2-22222000000-1100200-2-20-1-1110000000000000-1100
χ404444-4-4-21-441-21-21-222-1-1-2-222-2-2000000-1100-20022011-1-100000000000001-100
χ4144-4-44i−4i1-200-2-12-121i−i2i−2i3i−3i3-300003−33−3000000000000003−3−i3i3−i3i300000000000
χ4244-4-44i−4i1-200-2-12-121i−i2i−2i3i−3i3-30000−33−3300000000000000−33i3−i3i3−i300000000000
χ4344-4-44i−4i1-200-2-12-121i−i2i−2i−3i3i-3300003−33−300000000000000−33−i3i3i3−i300000000000
χ4444-4-44i−4i1-200-2-12-121i−i2i−2i−3i3i-330000−33−33000000000000003−3i3−i3−i3i300000000000
χ4544-4-44i−4i44004-4-4-4-444i−4i−4i4i0000000000000000000000000000000000000000000
χ4644-4-4−4i4i1-200-2-12-121−ii−2i2i3i−3i-3300003−33−300000000000000−33i3−i3−i3i300000000000
χ4744-4-4−4i4i1-200-2-12-121−ii−2i2i3i−3i-330000−33−33000000000000003−3−i3i3i3−i300000000000
χ4844-4-4−4i4i1-200-2-12-121−ii−2i2i−3i3i3-300003−33−3000000000000003−3i3−i3i3−i300000000000
χ4944-4-4−4i4i1-200-2-12-121−ii−2i2i−3i3i3-30000−33−3300000000000000−33−i3i3−i3i300000000000
χ5044-4-4−4i4i44004-4-4-4-44−4i4i4i−4i0000000000000000000000000000000000000000000
χ514-44-4004400-444-4-4-400000000000000000000000000000000000000000−2i22i20000
χ524-44-4004400-444-4-4-4000000000000000000000000000000000000000002i2−2i20000
χ534-4-44004400-4-4-444-4000000000000000000-44000000000000000000000000000
χ5488-8-88i−8i-420024-24-2-4−4i4i−2i2i0000000000000000000000000000000000000000000
χ5588-8-8−8i8i-420024-24-2-44i−4i2i−2i0000000000000000000000000000000000000000000
χ568-88-8002-40042-4-24-2000000000000−2i32i32i3−2i30000000000000000000000000000000
χ578-88-8002-40042-4-24-20000000000002i3−2i3−2i32i30000000000000000000000000000000
χ588-88-800-4200-2-424-24000000000000000000000000000023−2300000000000000000
χ598-88-800-4200-2-424-240000000000000000000000000000−232300000000000000000
χ608-8-88002-4004-242-4-200000000004i−4i−2i−2i2i2i0000000000000000000000000000000
χ618-8-88002-4004-242-4-20000000000−4i4i2i2i−2i−2i0000000000000000000000000000000
χ628-8-8800-4200-24-2-424000000004-40000000000000000-220000000000000000000
χ638-8-8800-4200-24-2-42400000000-4400000000000000002-20000000000000000000

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