Finite Group Databasebeta

← Group #11870725

Character table — Group #11870725

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444666688888888888888899991212121212121212121212121212161616161616181824242424242424242424242436363636484872
order122233446666663446668812121212224421212121212122424242424242424444444444466888812126666121244241212121212122424242444886124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111111111111-1-1-1-1111-1-1-111-1-111-1-1111111-1-1-11-1-1-111111-1-1-1-1-1-1-11-1
χ311111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1111-1-111-1-111111111-1-11-1111-1-1-1-1-111-1-1-1-11-1-1
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
χ511111111111111111111-1-111111111-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1-1-111-1-11-1-1-1-1111-1-111-1-1111-11
χ711111111111111111111-1-11111-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1-11111-1-1-111-1-1-1-111-111
χ811111111111111111111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1
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
χ10111111111111111-1-111111111111-1-1-1-1-1-1-11111111111-1-1-1-11-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-111-1-11-11
χ11111111111111111-1-1111111111-1-111-1-1-1-1-11111111111-1-1-1-1-1111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1-111
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
χ13111111111111111-1-1111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-11-1-111-1-1-1-1111111-1-111111-1-11-1-1-1-1-1-1-1-1-1-1111
χ14111111111111111-1-1111-1-1111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-11111-1-1-1-1-11-1111-1-1-1-1111111-11-1
χ15111111111111111-1-1111-1-11111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-11-11-1-1-11111-1-111111-1-1
χ16111111111111111-1-1111-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-111-111-1-11111-1-11111-1-111-1-1-111-1111111-1-1-1-1-1-11
χ17222222-2-222222220022200-2-2-2-2222200000-2-2000000002222-200-20022000022000000-2-200-200-20000000000000
χ18222222-2-222222220022200-2-2-2-222-2-200000-2-200000000-2-2-2-2-200200220000-2-20000002200200-20000000000000
χ19222222-2-222222220022200-2-2-2-2-2-22200000-2-200000000-2-2-2-2200-200-2-20000220000002200-20020000000000000
χ20222222-2-222222220022200-2-2-2-2-2-2-2-200000-2-2000000002222200200-2-20000-2-2000000-2-20020020000000000000
χ2122222-1222-1-12-12-122-1-1-122-122-100222-1-122-1-122-1-1-1-1-1-10000000222002200-1-12-1-1-1-1-10020-1-1-100000-1-10000-100
χ2222222-1222-1-12-12-122-1-1-122-122-100-2-22-1-122-1-122-1-1-1-1-1-10000000-2-2-200-2-200112-1-1-1-1-100-2011100000110000100
χ2322222-1222-1-12-12-122-1-1-1-2-2-122-10022-2-1-122-1-1-2-2111111000000022200-2-200-1-1-2111-1-100-20-1-1-100000110000100
χ2422222-1222-1-12-12-122-1-1-1-2-2-122-100-2-2-2-1-122-1-1-2-21111110000000-2-2-200220011-2111-1-1002011100000-1-10000-100
χ2522222-1222-1-12-12-1-2-2-1-1-122-122-10022-211-2-2-1-122-1-1-1-1-1-100000002-2-2002200-1-1-21111100-20-11100000-1-10000100
χ2622222-1222-1-12-12-1-2-2-1-1-122-122-100-2-2-211-2-2-1-122-1-1-1-1-1-10000000-22200-2-20011-21111100201-1-100000110000-100
χ2722222-1222-1-12-12-1-2-2-1-1-1-2-2-122-10022211-2-2-1-1-2-211111100000002-2-200-2-200-1-12-1-1-1110020-11100000110000-100
χ2822222-1222-1-12-12-1-2-2-1-1-1-2-2-122-100-2-2211-2-2-1-1-2-21111110000000-222002200112-1-1-11100-201-1-100000-1-10000100
χ292222-1222-122-12-1-122-1-1-1222-1-122200222-1-1-1-1-1-122-1-1-1-10000222000-1-1002200-12-1-1-1-10002000-1-1-1-1-10000000-10
χ302222-1222-122-12-1-122-1-1-1222-1-12-2-200222-1-1-1-1-1-122-1-1-1-10000-2-2-20001100-2-200-12-1-1-1-1000-200011111000000010
χ312222-1222-122-12-1-122-1-1-1-2-22-1-122200-222-1-1-1-111-2-211110000222000-1-100-2-2001-211-1-1000-2000-1-1-111000000010
χ322222-1222-122-12-1-122-1-1-1-2-22-1-12-2-200-222-1-1-1-111-2-211110000-2-2-2000110022001-211-1-10002000111-1-10000000-10
χ332222-1222-122-12-1-1-2-2-1-1-1222-1-122200-2-2-211-1-1-1-122-1-1-1-100002-2-2000-1-10022001-21111000-2000-111-1-1000000010
χ342222-1222-122-12-1-1-2-2-1-1-1222-1-12-2-200-2-2-211-1-1-1-122-1-1-1-10000-2220001100-2-2001-2111100020001-1-1110000000-10
χ352222-1222-122-12-1-1-2-2-1-1-1-2-22-1-1222002-2-211-1-111-2-2111100002-2-2000-1-100-2-200-12-1-1110002000-111110000000-10
χ362222-1222-122-12-1-1-2-2-1-1-1-2-22-1-12-2-2002-2-211-1-111-2-211110000-22200011002200-12-1-111000-20001-1-1-1-1000000010
χ3722-2-2222-2-22-2-2-2222-2-2-2200-22-22000002-22-2-22000000002i2i−2i−2i0000000000000000002-22i−2i0000000000002i−2i00000
χ3822-2-2222-2-22-2-2-2222-2-2-2200-22-22000002-22-2-2200000000−2i−2i2i2i0000000000000000002-2−2i2i000000000000−2i2i00000
χ3922-2-2222-2-22-2-2-222-22-2-2200-22-2200000-22-22-22000000002i2i−2i−2i000000000000000000-222i−2i000000000000−2i2i00000
χ4022-2-2222-2-22-2-2-222-22-2-2200-22-2200000-22-22-2200000000−2i−2i2i2i000000000000000000-22−2i2i0000000000002i−2i00000
χ4122-2-222-22-22-2-2-22200-2-22002-22-20000000002-2000000002i2i−2i−2i02-202i−2i00000000000000−2i2i0002i−2i02-200000000000
χ4222-2-222-22-22-2-2-22200-2-22002-22-20000000002-2000000002i2i−2i−2i0-220−2i2i00000000000000−2i2i000−2i2i0-2200000000000
χ4322-2-222-22-22-2-2-22200-2-22002-22-20000000002-200000000−2i−2i2i2i02-20−2i2i000000000000002i−2i000−2i2i02-200000000000
χ4422-2-222-22-22-2-2-22200-2-22002-22-20000000002-200000000−2i−2i2i2i0-2202i−2i000000000000002i−2i0002i−2i0-2200000000000
χ452-22-22200-2-222-2-22002-2-2i2−i200002-22-20000000i2−i2i2−i2i2i2−i2−i22-22-20000002-2i2−i2i2−i22-20000000000000000i2−i2i2−i200i2−i2000
χ462-22-22200-2-222-2-22002-2-2i2−i200002-2-220000000i2−i2i2−i2i2i2−i2−i2-22-220000002-2−i2i2i2−i2-220000000000000000i2−i2−i2i200−i2i2000
χ472-22-22200-2-222-2-22002-2-2i2−i20000-222-20000000i2−i2i2−i2i2i2−i2−i2-22-22000000-22i2−i2−i2i22-20000000000000000−i2i2i2−i200−i2i2000
χ482-22-22200-2-222-2-22002-2-2i2−i20000-22-220000000i2−i2i2−i2i2i2−i2−i22-22-2000000-22−i2i2−i2i2-220000000000000000−i2i2−i2i200i2−i2000
χ492-22-22200-2-222-2-22002-2-2−i2i200002-22-20000000−i2i2−i2i2−i2−i2i2i22-22-20000002-2−i2i2−i2i22-20000000000000000−i2i2−i2i200−i2i2000
χ502-22-22200-2-222-2-22002-2-2−i2i200002-2-220000000−i2i2−i2i2−i2−i2i2i2-22-220000002-2i2−i2−i2i2-220000000000000000−i2i2i2−i200i2−i2000
χ512-22-22200-2-222-2-22002-2-2−i2i20000-222-20000000−i2i2−i2i2−i2−i2i2i2-22-22000000-22−i2i2i2−i22-20000000000000000i2−i2−i2i200i2−i2000
χ522-22-22200-2-222-2-22002-2-2−i2i20000-22-220000000−i2i2−i2i2−i2−i2i2i22-22-2000000-22i2−i2i2−i2-220000000000000000i2−i2i2−i200−i2i2000
χ5344444-2-4-44-2-24-24-200-2-2-2002-4-4200440000022000000000000000-400000000-2-2000000000020000000000000000
χ5444444-2-4-44-2-24-24-200-2-2-2002-4-4200-4-40000022000000000000000400000000220000000000-20000000000000000
χ554444-24-4-4-244-24-2-200-2-2-200-422-444000000022000000000000-400000-2-2000000000000000000020000000000000
χ564444-24-4-4-244-24-2-200-2-2-200-422-4-4-4000000022000000000000400000220000000000000000000-20000000000000
χ574444-2-244-2-2-2-2-2-214411144-2-2-2-200004-2-2-2-211-2-2-2-21111000000000000000000-2-21111000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-20000-4-2-2-2-2112222-1-1-1-100000000000000000022-1-111000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-411144-2-2-2-20000-4222211-2-2-2-2111100000000000000000022-1-1-1-1000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-2000042222112222-1-1-1-1000000000000000000-2-211-1-1000000000000000000000
χ6144-4-44-24-4-4-22-424-24-422-20024-4-200000-224-42-2000000000000000000000000000000-22000000000000000000000
χ6244-4-44-24-4-4-22-424-2-4422-20024-4-2000002-2-442-20000000000000000000000000000002-2000000000000000000000
χ6344-4-44-2-44-4-22-424-20022-200-2-442000000000-2200000000000000004i−4i0000000000000000000−2i2i00000000000000
χ6444-4-44-2-44-4-22-424-20022-200-2-442000000000-220000000000000000−4i4i00000000000000000002i−2i00000000000000
χ6544-4-4-244-424-42-4-2-24-422-200-4-224000004-4-222-2000000000000000000000000000000-22000000000000000000000
χ6644-4-4-244-424-42-4-2-2-4422-200-4-22400000-442-22-20000000000000000000000000000002-2000000000000000000000
χ6744-4-4-24-4424-42-4-2-20022-20042-2-4000000000-2200000000000004-40000000000000000000000000-2200000000000
χ6844-4-4-24-4424-42-4-2-20022-20042-2-4000000000-220000000000000-4400000000000000000000000002-200000000000
χ6944-4-4-2-24-42-2222-214-4-1-11002-22-200000-22-22-1100003-33-3000000000000000000003-31-1000000000000000000000
χ7044-4-4-2-24-42-2222-214-4-1-11002-22-200000-22-22-110000-33-3300000000000000000000-331-1000000000000000000000
χ7144-4-4-2-24-42-2222-21-44-1-11002-22-2000002-22-2-1100003-33-300000000000000000000-33-11000000000000000000000
χ7244-4-4-2-24-42-2222-21-44-1-11002-22-2000002-22-2-110000-33-33000000000000000000003-3-11000000000000000000000
χ734-44-44-200-42-242-4-200-2222i2−2i20000004-400000002i2−2i2−i2i2−i2−i2i2i20000000000002i2−2i200-22000000000000000000−i2i20000000
χ744-44-44-200-42-242-4-200-2222i2−2i2000000-4400000002i2−2i2−i2i2−i2−i2i2i2000000000000−2i22i2002-2000000000000000000i2−i20000000
χ754-44-44-200-42-242-4-200-222−2i22i20000004-40000000−2i22i2i2−i2i2i2−i2−i2000000000000−2i22i200-22000000000000000000i2−i20000000
χ764-44-44-200-42-242-4-200-222−2i22i2000000-440000000−2i22i2i2−i2i2i2−i2−i20000000000002i2−2i2002-2000000000000000000−i2i20000000
χ774-44-4-24002-44-2-42-200-2222i2−2i200004-4000000000−i2i22i2−2i2−i2−i2i2i20000000000-22002i2−2i2000000000000000000−i2i2000000000
χ784-44-4-24002-44-2-42-200-2222i2−2i20000-44000000000−i2i22i2−2i2−i2−i2i2i200000000002-200−2i22i2000000000000000000i2−i2000000000
χ794-44-4-24002-44-2-42-200-222−2i22i200004-4000000000i2−i2−2i22i2i2i2−i2−i20000000000-2200−2i22i2000000000000000000i2−i2000000000
χ804-44-4-24002-44-2-42-200-222−2i22i20000-44000000000i2−i2−2i22i2i2i2−i2−i200000000002-2002i2−2i2000000000000000000−i2i2000000000
χ814-4-4444004-4-4-44-4400-44-400000000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000
χ824-4-4444004-4-4-44-4400-44-40000000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000
χ838888-4-4-8-8-4-4-4-4-4-4200222004444000000000-2-200000000000000000000000000000000000000000000000000000
χ8488-8-8-4-4-884-4444-4200-2-2200-44-440000000002-200000000000000000000000000000000000000000000000000000
χ858-88-8-4-40044-4-4442002-2-24i2−4i2000000000000000−2i22i2−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000000
χ868-88-8-4-40044-4-4442002-2-2−4i24i20000000000000002i2−2i22i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000000
χ878-8-888-400844-8-4-8-4004-440000000000000000000000000000000000000000000000000000000000000000000000
χ888-8-88-4800-4-8-8484-4004-440000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-400-4444-44200-22-20000000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000000000
χ908-8-88-4-400-4444-44200-22-2000000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000000000

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