Finite Group Databasebeta

← Group #11863893

Character table — Group #11863893

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444666688888888888888899991212121212121212121212121212161616161616181824242424242424242424242436363636484872
order12223344666666344666881212121222444121212121212242424242424242444442224446688881212121212121212224466612121224242424228812122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-11111111-1-1-1-1111111-1-11-1-1-1-111111-1-1-1-1-1-11-1-1
χ311111111111111111111111111-1-111111111111111111-1-1-1-1111-1-1-1-1-1-1-11111111111-1-1-11111-1-1-1-1-111-1-1-1-1-11-1
χ411111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ511111111111111111111-1-111111111-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-111-1-1111111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-111-1-1-1-1-11-1-1-1111-1-111-1-111-111
χ711111111111111111111-1-11111-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-111-1-111-1-1-1-11-1111-1-1-111-1-1-1-1111-11
χ811111111111111111111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-111-1
χ9111111111111111-1-11111111111111-1-1-1-1-1111111111111111-1-11-1-111111111-1-1-1-1-1-111-1-11-1-11-1-11111-1-111-1-1-1
χ10111111111111111-1-111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-111-1-1-111
χ11111111111111111-1-1111111111-1-111-1-1-1-1-11111111111-1-1-1-11-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-111-1-11111-1-11-11
χ12111111111111111-1-1111111111-1-1-1-1-1-1-1-1-111111111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-1-1-1-1-11111-1
χ13111111111111111-1-1111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-11-1-111-1-1-1-11111-1-11111111-1-11-1-1-1-1-1-1-1-1-1-1111
χ14111111111111111-1-1111-1-1111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-111-1-111-1-11-1-1111-1-1-1-11111111-1-1
χ15111111111111111-1-1111-1-11111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-111-1-11111-1-111-1-1-111-1-1-11111-1-11111-11-1
χ16111111111111111-1-1111-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-111-111-1-11111-1-111-1-11111-1-1-111-1111111-1-1-1-1-1-11
χ17222222-2-222222220022200-2-2-2-2222200000-2-2000000002222-200-20022000022000000-2-200-200-20000000000000
χ18222222-2-222222220022200-2-2-2-222-2-200000-2-200000000-2-2-2-2200-200220000-2-20000002200200-20000000000000
χ19222222-2-222222220022200-2-2-2-2-2-22200000-2-200000000-2-2-2-2-200200-2-20000220000002200-20020000000000000
χ20222222-2-222222220022200-2-2-2-2-2-2-2-200000-2-2000000002222200200-2-20000-2-2000000-2-20020020000000000000
χ2122222-1222-12-1-12-122-1-1-122-12-1200222-1-122-1-122-1-1-1-1-1-10000222000000022-1-1-12-1-1-1-10002-1-1-100000-1-100000-10
χ2222222-1222-12-1-12-122-1-1-122-12-1200-2-22-1-122-1-122-1-1-1-1-1-10000-2-2-20000000-2-211-12-1-1-1-1000-211100000110000010
χ2322222-1222-12-1-12-122-1-1-1-2-2-12-120022-2-1-122-1-1-2-211111100002220000000-2-2-1-11-2-1-111000-2-1-1-100000110000010
χ2422222-1222-12-1-12-122-1-1-1-2-2-12-1200-2-2-2-1-122-1-1-2-21111110000-2-2-2000000022111-2-1-111000211100000-1-100000-10
χ2522222-1222-12-1-12-1-2-2-1-1-122-12-120022-211-2-2-1-122-1-1-1-1-1-100002-2-2000000022-1-11-21111000-2-11100000-1-10000010
χ2622222-1222-12-1-12-1-2-2-1-1-122-12-1200-2-2-211-2-2-1-122-1-1-1-1-1-10000-2220000000-2-2111-2111100021-1-1000001100000-10
χ2722222-1222-12-1-12-1-2-2-1-1-1-2-2-12-120022211-2-2-1-1-2-211111100002-2-20000000-2-2-1-1-1211-1-10002-111000001100000-10
χ2822222-1222-12-1-12-1-2-2-1-1-1-2-2-12-1200-2-2211-2-2-1-1-2-21111110000-22200000002211-1211-1-1000-21-1-100000-1-10000010
χ292222-1222-12-122-1-122-1-1-1222-12-12200222-1-1-1-1-1-122-1-1-1-10000000222-1-12200002-1-1-1-1-10020000-1-1-1-1-1000000-100
χ302222-1222-12-122-1-122-1-1-1222-12-1-2-200222-1-1-1-1-1-122-1-1-1-10000000-2-2-211-2-200002-1-1-1-1-100-2000011111000000100
χ312222-1222-12-122-1-122-1-1-1-2-22-12-12200-222-1-1-1-111-2-211110000000222-1-1-2-20000-21-1-11100-20000-1-1-111000000100
χ322222-1222-12-122-1-122-1-1-1-2-22-12-1-2-200-222-1-1-1-111-2-211110000000-2-2-211220000-21-1-1110020000111-1-1000000-100
χ332222-1222-12-122-1-1-2-2-1-1-1222-12-12200-2-2-211-1-1-1-122-1-1-1-100000002-2-2-1-1220000-21111100-20000-111-1-1000000100
χ342222-1222-12-122-1-1-2-2-1-1-1222-12-1-2-200-2-2-211-1-1-1-122-1-1-1-10000000-22211-2-20000-21111100200001-1-111000000-100
χ352222-1222-12-122-1-1-2-2-1-1-1-2-22-12-122002-2-211-1-111-2-2111100000002-2-2-1-1-2-200002-111-1-10020000-11111000000-100
χ362222-1222-12-122-1-1-2-2-1-1-1-2-22-12-1-2-2002-2-211-1-111-2-211110000000-222112200002-111-1-100-200001-1-1-1-1000000100
χ3722-2-222002-2-22-2-22002-2-22−200002-22i−2i00000002−22−222−2−22i2i−2i−2i0000002-22−2i2−i22i−2i00000000000000002−2i2−i200i2−i2000
χ3822-2-222002-2-22-2-22002-2-22−200002-2−2i2i00000002−22−222−2−2−2i−2i2i2i0000002-22−2−i2i2−2i2i00000000000000002−2−i2i200−i2i2000
χ3922-2-222002-2-22-2-22002-2-22−20000-222i−2i00000002−22−222−2−2−2i−2i2i2i000000-22−22i2−i22i−2i0000000000000000−22i2−i200−i2i2000
χ4022-2-222002-2-22-2-22002-2-22−20000-22−2i2i00000002−22−222−2−22i2i−2i−2i000000-22−22−i2i2−2i2i0000000000000000−22−i2i200i2−i2000
χ4122-2-222002-2-22-2-22002-2-2−2200002-22i−2i0000000−22−22−2−2222i2i−2i−2i0000002-2−22−i2i22i−2i0000000000000000−22−i2i200−i2i2000
χ4222-2-222002-2-22-2-22002-2-2−2200002-2−2i2i0000000−22−22−2−222−2i−2i2i2i0000002-2−22i2−i2−2i2i0000000000000000−22i2−i200i2−i2000
χ4322-2-222002-2-22-2-22002-2-2−220000-222i−2i0000000−22−22−2−222−2i−2i2i2i000000-222−2−i2i22i−2i00000000000000002−2−i2i200i2−i2000
χ4422-2-222002-2-22-2-22002-2-2−220000-22−2i2i0000000−22−22−2−2222i2i−2i−2i000000-222−2i2−i2−2i2i00000000000000002−2i2−i200−i2i2000
χ452-2-22222-2-2-2-2-222200-2-2200-2-2220000000002-2000000002-22-202-202-2000000000000002-20002-202-200000000000
χ462-2-22222-2-2-2-2-222200-2-2200-2-2220000000002-2000000002-22-20-220-22000000000000002-2000-220-2200000000000
χ472-2-22222-2-2-2-2-222200-2-2200-2-2220000000002-200000000-22-2202-20-2200000000000000-220002-20-2200000000000
χ482-2-22222-2-2-2-2-222200-2-2200-2-2220000000002-200000000-22-220-2202-200000000000000-22000-2202-200000000000
χ492-2-2222-22-2-2-2-22222-2-2-220022-2-2000002-22-2-22000000002-22-200000000000000002-200-220000000000002-200000
χ502-2-2222-22-2-2-2-22222-2-2-220022-2-2000002-22-2-2200000000-22-2200000000000000002-2002-2000000000000-2200000
χ512-2-2222-22-2-2-2-2222-22-2-220022-2-200000-22-22-22000000002-22-20000000000000000-2200-22000000000000-2200000
χ522-2-2222-22-2-2-2-2222-22-2-220022-2-200000-22-22-2200000000-22-220000000000000000-22002-20000000000002-200000
χ5344444-2-4-44-24-2-24-200-2-2-2002-42-400440000022000000000000-400000000000-2-2000000000020000000000000000
χ5444444-2-4-44-24-2-24-200-2-2-2002-42-400-4-40000022000000000000400000000000220000000000-20000000000000000
χ554444-24-4-4-24-244-2-200-2-2-200-42-4244000000022000000000000000-400-2-2000000000000000000020000000000000
χ564444-24-4-4-24-244-2-200-2-2-200-42-42-4-4000000022000000000000000400220000000000000000000-20000000000000
χ574444-2-244-2-2-2-2-2-214411144-2-2-2-200004-2-2-2-211-2-2-2-21111000000000000000000-2-21111000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-20000-4-2-2-2-2112222-1-1-1-10000000000000000002211-1-1000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-411144-2-2-2-20000-4222211-2-2-2-2111100000000000000000022-1-1-1-1000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-2000042222112222-1-1-1-1000000000000000000-2-2-1-111000000000000000000000
χ6144-4-44-20042-4-22-4-200-22222−220000004i−4i000000022−22−22−2−222000000000000002i2−2i2−2i2i000000000000000000−i2i20000000
χ6244-4-44-20042-4-22-4-200-22222−22000000−4i4i000000022−22−22−2−22200000000000000−2i22i22i−2i000000000000000000i2−i20000000
χ6344-4-44-20042-4-22-4-200-222−22220000004i−4i0000000−22222−222−2−200000000000000−2i22i2−2i2i000000000000000000i2−i20000000
χ6444-4-44-20042-4-22-4-200-222−2222000000−4i4i0000000−22222−222−2−2000000000000002i2−2i22i−2i000000000000000000−i2i20000000
χ6544-4-4-2400-2-424-42-200-22222−2200004-4000000000−2222−22−2−2220000000000-2222−2200000000000000000000−22000000000
χ6644-4-4-2400-2-424-42-200-22222−220000-44000000000−2222−22−2−22200000000002-2−2222000000000000000000002−2000000000
χ6744-4-4-2400-2-424-42-200-222−222200004-40000000002−2−222222−2−20000000000-22−2222000000000000000000002−2000000000
χ6844-4-4-2400-2-424-42-200-222−22220000-440000000002−2−222222−2−200000000002-222−2200000000000000000000−22000000000
χ694-44-44400-444-4-4-4400-44-400000000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000
χ704-44-44400-444-4-4-4400-44-40000000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000
χ714-4-444-24-4-42-42-24-20022-2002-4-24000000000-2200000000000004-40000000000000000000000-2200000000000000
χ724-4-444-24-4-42-42-24-20022-2002-4-24000000000-220000000000000-4400000000000000000000002-200000000000000
χ734-4-444-2-44-42-42-24-24-422-200-242-400000-224-42-20000000000000000000000000000-2200000000000000000000000
χ744-4-444-2-44-42-42-24-2-4422-200-242-4000002-2-442-200000000000000000000000000002-200000000000000000000000
χ754-4-44-244-42-42-44-2-20022-200-424-2000000000-2200000000000000004-40000000000000000000000-2200000000000
χ764-4-44-244-42-42-44-2-20022-200-424-2000000000-220000000000000000-4400000000000000000000002-200000000000
χ774-4-44-24-442-42-44-2-24-422-2004-2-42000004-4-222-20000000000000000000000000000-2200000000000000000000000
χ784-4-44-24-442-42-44-2-2-4422-2004-2-4200000-442-22-200000000000000000000000000002-200000000000000000000000
χ794-4-44-2-2-442222-2-214-4-1-1100-2-22200000-22-22-1100003-33-3000000000000000000001-13-3000000000000000000000
χ804-4-44-2-2-442222-2-214-4-1-1100-2-22200000-22-22-110000-33-33000000000000000000001-1-33000000000000000000000
χ814-4-44-2-2-442222-2-21-44-1-1100-2-222000002-22-2-1100003-33-300000000000000000000-11-33000000000000000000000
χ824-4-44-2-2-442222-2-21-44-1-1100-2-222000002-22-2-110000-33-3300000000000000000000-113-3000000000000000000000
χ838888-4-4-8-8-4-4-4-4-4-4200222004444000000000-2-200000000000000000000000000000000000000000000000000000
χ8488-8-8-4-400-444-4442002-2-242−42000000000000000−2222−222222−2−2000000000000000000000000000000000000000000000
χ8588-8-8-4-400-444-4442002-2-2−424200000000000000022−2222−22−2−222000000000000000000000000000000000000000000000
χ868-88-88-400-8-4844-8-4004-440000000000000000000000000000000000000000000000000000000000000000000000
χ878-88-8-480048-4-8-84-4004-440000000000000000000000000000000000000000000000000000000000000000000000
χ888-88-8-4-4004-4-4444200-22-200000000000000000000032−32−3232000000000000000000000000000000000000000000000
χ898-88-8-4-4004-4-4444200-22-2000000000000000000000−323232−32000000000000000000000000000000000000000000000
χ908-8-88-4-48-84444-4-4200-2-220044-4-40000000002-200000000000000000000000000000000000000000000000000000

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