Finite Group Databasebeta

← Group #11863566

Character table — Group #11863566

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444666688888888888888899991212121212121212121212121212161616161616181824242424242424242424242436363636484872
order12223344666666223666881212121222224666612122424242424242424222222224466668888661212121244446666121224242424228812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111111111111-1-1-1-111-1-11-111-1-111-1-1111111-1-11-111-1-11-111-1-1-1-1-1-11-1-1
χ311111111111111111111111111-1-111111111111111111-1-1-1-1-1-111-11-1-111-1-111111111-1-1-11-1-111-11-1-111-1-1-1-1-11-1
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
χ511111111111111111111-1-111111111-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-1-1-1-11111-1-1-1-1-1-1-1111-1-11-1-1-111-1-111-111
χ711111111111111111111-1-11111-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-11111-1-111-1-1-1-1-1-11-1-1-111-1111-1-1-1-1111-11
χ811111111111111111111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1
χ911111111111111-1-111111111111111-1-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1
χ1011111111111111-1-1111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111-111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1111-111-1-111-1-1-111
χ1111111111111111-1-11111111111-1-111-1-1-1-1-11111111111-1-1-1-111-1-1-11-1-111-1-111-1-1-1-1-1-1-1-11-111-1-1-11-1-11111-1-11-11
χ1211111111111111-1-11111111111-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1
χ1311111111111111-1-11111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111
χ1411111111111111-1-11111-1-1111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-111-1-11111-1-11-1-1-1111-1-1-11111111-1-1
χ1511111111111111-1-11111-1-11111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-11111-1-1-1-11111-1-1-1111-1-1-1111-1-11111-11-1
χ1611111111111111-1-11111-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1111111-1-11111-1-11111-1-1-1-1-1-11
χ17222222-2-222222200222200-2-2-2-2222200000-2-20000000022220000-2-222220000000000-2-2000000-2-200000000000
χ18222222-2-222222200222200-2-2-2-222-2-200000-2-200000000-2-2-2-20000-2222-2-2000000000022000000-2200000000000
χ19222222-2-222222200222200-2-2-2-2-2-22200000-2-200000000-2-2-2-200002-2-2-2220000000000220000002-200000000000
χ20222222-2-222222200222200-2-2-2-2-2-2-2-200000-2-2000000002222000022-2-2-2-20000000000-2-20000002200000000000
χ2122222-1222-12-12-122-1-1-1-1222-12-10022222-1-1-1-122-1-1-1-1-1-1000000220200-1-10022-1-12-1-1-1000200-1-10-100-1-100000-10
χ2222222-1222-12-12-122-1-1-1-1222-12-100-2-2222-1-1-1-122-1-1-1-1-1-1000000-2-20-2001100-2-2-1-12-1-1-1000-200110100110000010
χ2322222-1222-12-12-122-1-1-1-1-2-22-12-10022-222-1-1-1-1-2-2111111000000220200-1-100-2-2-1-1-2111000-200-1-10-100110000010
χ2422222-1222-12-12-122-1-1-1-1-2-22-12-100-2-2-222-1-1-1-1-2-2111111000000-2-20-200110022-1-1-2111000200110100-1-100000-10
χ2522222-1222-12-12-1-2-2-1-1-1-1222-12-10022-2-2-211-1-122-1-1-1-1-1-1000000-2-20200-1-1002211-2111000-200110-100-1-10000010
χ2622222-1222-12-12-1-2-2-1-1-1-1222-12-100-2-2-2-2-211-1-122-1-1-1-1-1-1000000220-2001100-2-211-2111000200-1-101001100000-10
χ2722222-1222-12-12-1-2-2-1-1-1-1-2-22-12-100222-2-211-1-1-2-2111111000000-2-20200-1-100-2-2112-1-1-1000200110-1001100000-10
χ2822222-1222-12-12-1-2-2-1-1-1-1-2-22-12-100-2-22-2-211-1-1-2-2111111000000220-200110022112-1-1-1000-200-1-10100-1-10000010
χ292222-1222-12-12-1222-1-1-1-122-12-1222002-1-122-1-1-1-122-1-1-1-10000220020-1-1002200-1-1-12-1-10020-1-100-10-1-1000000-100
χ302222-1222-12-12-1222-1-1-1-122-12-12-2-2002-1-122-1-1-1-122-1-1-1-10000-2-200-201100-2-200-1-1-12-1-100-2011001011000000100
χ312222-1222-12-12-1222-1-1-1-1-2-2-12-122200-2-1-122-1-111-2-211110000220020-1-100-2-200-1-11-21100-20-1-100-1011000000100
χ322222-1222-12-12-1222-1-1-1-1-2-2-12-12-2-200-2-1-122-1-111-2-211110000-2-200-2011002200-1-11-2110020110010-1-1000000-100
χ332222-1222-12-12-12-2-2-1-1-1-122-12-122200-211-2-2-1-1-1-122-1-1-1-10000-2-20020-1-1002200111-21100-201100-10-1-1000000100
χ342222-1222-12-12-12-2-2-1-1-1-122-12-12-2-200-211-2-2-1-1-1-122-1-1-1-100002200-201100-2-200111-2110020-1-1001011000000-100
χ352222-1222-12-12-12-2-2-1-1-1-1-2-2-12-122200211-2-2-1-111-2-211110000-2-20020-1-100-2-20011-12-1-100201100-1011000000-100
χ362222-1222-12-12-12-2-2-1-1-1-1-2-2-12-12-2-200211-2-2-1-111-2-2111100002200-201100220011-12-1-100-20-1-10010-1-1000000100
χ3722-2-2220022-2-2-2-20022-2-2i2−i200002-22-20000000i2−i2i2−i2i2i2−i2−i222-2-20000002-22-2i2−i2i2−i20000000000000000i2−i2i2−i200i2−i2000
χ3822-2-2220022-2-2-2-20022-2-2i2−i200002-2-220000000i2−i2i2−i2i2i2−i2−i2-2-2220000002-2-22i2−i2−i2i20000000000000000i2−i2−i2i200−i2i2000
χ3922-2-2220022-2-2-2-20022-2-2i2−i20000-222-20000000i2−i2i2−i2i2i2−i2−i2-2-222000000-222-2−i2i2i2−i20000000000000000−i2i2i2−i200−i2i2000
χ4022-2-2220022-2-2-2-20022-2-2i2−i20000-22-220000000i2−i2i2−i2i2i2−i2−i222-2-2000000-22-22−i2i2−i2i20000000000000000−i2i2−i2i200i2−i2000
χ4122-2-2220022-2-2-2-20022-2-2−i2i200002-22-20000000−i2i2−i2i2−i2−i2i2i222-2-20000002-22-2−i2i2−i2i20000000000000000−i2i2−i2i200−i2i2000
χ4222-2-2220022-2-2-2-20022-2-2−i2i200002-2-220000000−i2i2−i2i2−i2−i2i2i2-2-2220000002-2-22−i2i2i2−i20000000000000000−i2i2i2−i200i2−i2000
χ4322-2-2220022-2-2-2-20022-2-2−i2i20000-222-20000000−i2i2−i2i2−i2−i2i2i2-2-222000000-222-2i2−i2−i2i20000000000000000i2−i2−i2i200i2−i2000
χ4422-2-2220022-2-2-2-20022-2-2−i2i20000-22-220000000−i2i2−i2i2−i2−i2i2i222-2-2000000-22-22i2−i2i2−i20000000000000000i2−i2i2−i200−i2i2000
χ452-2-22222-2-2-2-2-2222-22-22-200-2-222000002-22-22-2000000002-22-2000000000000002-200002-20000000000002-200000
χ462-2-22222-2-2-2-2-2222-22-22-200-2-222000002-22-22-200000000-22-22000000000000002-20000-22000000000000-2200000
χ472-2-22222-2-2-2-2-222-222-22-200-2-22200000-22-222-2000000002-22-200000000000000-2200002-2000000000000-2200000
χ482-2-22222-2-2-2-2-222-222-22-200-2-22200000-22-222-200000000-22-2200000000000000-220000-220000000000002-200000
χ492-2-2222-22-2-2-2-222002-22-20022-2-2000000000-22000000002-22-22-22-20000000000000000-22002-22-20000000000000
χ502-2-2222-22-2-2-2-222002-22-20022-2-2000000000-22000000002-22-2-22-220000000000000000-2200-22-220000000000000
χ512-2-2222-22-2-2-2-222002-22-20022-2-2000000000-2200000000-22-222-2-2200000000000000002-2002-2-220000000000000
χ522-2-2222-22-2-2-2-222002-22-20022-2-2000000000-2200000000-22-22-222-200000000000000002-200-222-20000000000000
χ5344444-2-4-44-24-24-200-2-2-2-200-42-420044000002200000000000000000-400-2-20000000000000000000200000000000
χ5444444-2-4-44-24-24-200-2-2-2-200-42-4200-4-4000002200000000000000000400220000000000000000000-200000000000
χ554444-24-4-4-24-24-2400-2-2-2-2002-42-4440000000220000000000000000-40-2-2000000000000000000002000000000000
χ564444-24-4-4-24-24-2400-2-2-2-2002-42-4-4-40000000220000000000000000402200000000000000000000-2000000000000
χ574444-2-244-2-2-2-2-2-244111144-2-2-2-200004-2-2-2-211-2-2-2-2111100000000000000000011-2-211000000000000000000000
χ584444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-20000-4-2-2-2-2112222-1-1-1-10000000000000000001122-1-1000000000000000000000
χ594444-2-244-2-2-2-2-2-2-4-4111144-2-2-2-20000-4222211-2-2-2-21111000000000000000000-1-122-1-1000000000000000000000
χ604444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-2000042222112222-1-1-1-1000000000000000000-1-1-2-211000000000000000000000
χ6144-4-44-2004-2-42-4200-2-2222i2−2i20000004-400000002i2−2i2−i2i2−i2−i2i2i2000000000000-22002i2−2i2000000000000000000−i2i20000000
χ6244-4-44-2004-2-42-4200-2-2222i2−2i2000000-4400000002i2−2i2−i2i2−i2−i2i2i20000000000002-200−2i22i2000000000000000000i2−i20000000
χ6344-4-44-2004-2-42-4200-2-222−2i22i20000004-40000000−2i22i2i2−i2i2i2−i2−i2000000000000-2200−2i22i2000000000000000000i2−i20000000
χ6444-4-44-2004-2-42-4200-2-222−2i22i2000000-440000000−2i22i2i2−i2i2i2−i2−i20000000000002-2002i2−2i2000000000000000000−i2i20000000
χ6544-4-4-2400-242-42-400-2-2222i2−2i200004-4000000000−i2i22i2−2i2−i2−i2i2i20000000000-22002i2−2i2000000000000000000−i2i2000000000
χ6644-4-4-2400-242-42-400-2-2222i2−2i20000-44000000000−i2i22i2−2i2−i2−i2i2i200000000002-200−2i22i2000000000000000000i2−i2000000000
χ6744-4-4-2400-242-42-400-2-222−2i22i200004-4000000000i2−i2−2i22i2i2i2−i2−i20000000000-2200−2i22i2000000000000000000i2−i2000000000
χ6844-4-4-2400-242-42-400-2-222−2i22i20000-44000000000i2−i2−2i22i2i2i2−i2−i200000000002-2002i2−2i2000000000000000000−i2i2000000000
χ694-44-44400-4-444-4-4004-4-4400000000000000000000000004-4-4400000000000000000000000000000000000000000
χ704-44-44400-4-444-4-4004-4-440000000000000000000000000-444-400000000000000000000000000000000000000000
χ714-4-444-24-4-42-424-24-4-22-2200-424-2000004-4-22-2200000000000000000000000000-220000000000000000000000000
χ724-4-444-24-4-42-424-2-44-22-2200-424-200000-442-2-22000000000000000000000000002-20000000000000000000000000
χ734-4-444-2-44-42-424-200-22-22004-2-420000000002-2000000000000004-40000000000000000000000-220000000000000
χ744-4-444-2-44-42-424-200-22-22004-2-420000000002-200000000000000-4400000000000000000000002-20000000000000
χ754-4-44-244-42-42-4-244-4-22-22002-4-2400000-224-4-2200000000000000000000000000-220000000000000000000000000
χ764-4-44-244-42-42-4-24-44-22-22002-4-24000002-2-44-22000000000000000000000000002-20000000000000000000000000
χ774-4-44-24-442-42-4-2400-22-2200-242-40000000002-20000000000004-40000000000000000000000-22000000000000000
χ784-4-44-24-442-42-4-2400-22-2200-242-40000000002-2000000000000-4400000000000000000000002-2000000000000000
χ794-4-44-2-24-42222-2-24-41-11-10022-2-200000-22-221-100003i−3i3i−3i0000000000000000001-1003i−3i000000000000000000000
χ804-4-44-2-24-42222-2-24-41-11-10022-2-200000-22-221-10000−3i3i−3i3i0000000000000000001-100−3i3i000000000000000000000
χ814-4-44-2-24-42222-2-2-441-11-10022-2-2000002-22-21-100003i−3i3i−3i000000000000000000-1100−3i3i000000000000000000000
χ824-4-44-2-24-42222-2-2-441-11-10022-2-2000002-22-21-10000−3i3i−3i3i000000000000000000-11003i−3i000000000000000000000
χ838888-4-4-8-8-4-4-4-4-4-4002222004444000000000-2-200000000000000000000000000000000000000000000000000000
χ8488-8-8-4-400-4-444440022-2-24i2−4i2000000000000000−2i22i2−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000000
χ8588-8-8-4-400-4-444440022-2-2−4i24i20000000000000002i2−2i22i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000000
χ868-88-88-400-848-4-8400-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ878-88-8-48004-8-484-800-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ888-88-8-4-40044-4-444002-2-2200000000000000000000032−32−3232000000000000000000000000000000000000000000000
χ898-88-8-4-40044-4-444002-2-22000000000000000000000−323232−32000000000000000000000000000000000000000000000
χ908-8-88-4-4-884444-4-4002-22-200-4-444000000000-2200000000000000000000000000000000000000000000000000000

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