Finite Group Databasebeta

← Group #11863890

Character table — Group #11863890

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444666688888888888888899991212121212121212121212121212161616161616181824242424242424242424242436363636484872
order1222334466666634466688121212122244412121212121224242424242424244444222444668888121212121212121222246661212122424242422886124
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
χ511111111111111111111-1-111111111-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-111-1-1-11-1-1-1111-1-111-1-111-111
χ711111111111111111111-1-11111-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-111-1-1-1-111-1-11-1111-1-1-111-1-1-1-1111-11
χ811111111111111111111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1
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
χ10111111111111111-1-111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-111-1-1-111
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
χ13111111111111111-1-1111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-11-1-111-1-1-1-1111111-1-111111-1-11-1-1-1-1-1-1-1-1-1-1111
χ14111111111111111-1-1111-1-1111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-11111-1-1-1-11-1-1111-1-1-1-11111111-1-1
χ15111111111111111-1-1111-1-11111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-111-1-1111111-1-1-1-1-111-1-1-11111-1-11111-11-1
χ16111111111111111-1-1111-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-111-111-1-11111-1-11111-1-111-1-1-111-1111111-1-1-1-1-1-11
χ17222222-2-222222220022200-2-2-2-2222200000-2-2000000002222-200-20022000022000000-2-200-200-20000000000000
χ18222222-2-222222220022200-2-2-2-222-2-200000-2-200000000-2-2-2-2200-200220000-2-20000002200200-20000000000000
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
χ2122222-1222-12-12-1-122-1-1-1222-12-10022222-1-1-1-122-1-1-1-1-1-10000222000000022-1-12-1-1-1-1-10002-1-1-100000-1-100000-10
χ2222222-1222-12-12-1-122-1-1-1222-12-100-2-2222-1-1-1-122-1-1-1-1-1-10000-2-2-20000000-2-2112-1-1-1-1-1000-211100000110000010
χ2322222-1222-12-12-1-122-1-1-1-2-22-12-10022-222-1-1-1-1-2-211111100002220000000-2-2-1-1-2111-1-1000-2-1-1-100000110000010
χ2422222-1222-12-12-1-122-1-1-1-2-22-12-100-2-2-222-1-1-1-1-2-21111110000-2-2-200000002211-2111-1-1000211100000-1-100000-10
χ2522222-1222-12-12-1-1-2-2-1-1-1222-12-10022-2-2-211-1-122-1-1-1-1-1-100002-2-2000000022-1-1-211111000-2-11100000-1-10000010
χ2622222-1222-12-12-1-1-2-2-1-1-1222-12-100-2-2-2-2-211-1-122-1-1-1-1-1-10000-2220000000-2-211-21111100021-1-1000001100000-10
χ2722222-1222-12-12-1-1-2-2-1-1-1-2-22-12-100222-2-211-1-1-2-211111100002-2-20000000-2-2-1-12-1-1-1110002-111000001100000-10
χ2822222-1222-12-12-1-1-2-2-1-1-1-2-22-12-100-2-22-2-211-1-1-2-21111110000-222000000022112-1-1-111000-21-1-100000-1-10000010
χ292222-1222-12-12-12-122-1-1-122-12-1222002-1-122-1-1-1-122-1-1-1-10000000222-1-1220000-12-1-1-1-10020000-1-1-1-1-1000000-100
χ302222-1222-12-12-12-122-1-1-122-12-12-2-2002-1-122-1-1-1-122-1-1-1-10000000-2-2-211-2-20000-12-1-1-1-100-2000011111000000100
χ312222-1222-12-12-12-122-1-1-1-2-2-12-122200-2-1-122-1-111-2-211110000000222-1-1-2-200001-211-1-100-20000-1-1-111000000100
χ322222-1222-12-12-12-122-1-1-1-2-2-12-12-2-200-2-1-122-1-111-2-211110000000-2-2-2112200001-211-1-10020000111-1-1000000-100
χ332222-1222-12-12-12-1-2-2-1-1-122-12-122200-211-2-2-1-1-1-122-1-1-1-100000002-2-2-1-12200001-2111100-20000-111-1-1000000100
χ342222-1222-12-12-12-1-2-2-1-1-122-12-12-2-200-211-2-2-1-1-1-122-1-1-1-10000000-22211-2-200001-2111100200001-1-111000000-100
χ352222-1222-12-12-12-1-2-2-1-1-1-2-2-12-122200211-2-2-1-111-2-2111100000002-2-2-1-1-2-20000-12-1-1110020000-11111000000-100
χ362222-1222-12-12-12-1-2-2-1-1-1-2-2-12-12-2-200211-2-2-1-111-2-211110000000-22211220000-12-1-11100-200001-1-1-1-1000000100
χ3722-2-22200-2-222-2-2200-22-2i2−i200002-22i−2i0000000i2−i2i2−i2i2i2−i2−i22i2i−2i−2i0000002-2i2−i22−22i−2i0000000000000000i2−i22−2002−2000
χ3822-2-22200-2-222-2-2200-22-2i2−i200002-2−2i2i0000000i2−i2i2−i2i2i2−i2−i2−2i−2i2i2i0000002-2i2−i2−22−2i2i0000000000000000i2−i2−2200−22000
χ3922-2-22200-2-222-2-2200-22-2i2−i20000-222i−2i0000000i2−i2i2−i2i2i2−i2−i2−2i−2i2i2i000000-22−i2i22−22i−2i0000000000000000−i2i22−200−22000
χ4022-2-22200-2-222-2-2200-22-2i2−i20000-22−2i2i0000000i2−i2i2−i2i2i2−i2−i22i2i−2i−2i000000-22−i2i2−22−2i2i0000000000000000−i2i2−22002−2000
χ4122-2-22200-2-222-2-2200-22-2−i2i200002-22i−2i0000000−i2i2−i2i2−i2−i2i2i22i2i−2i−2i0000002-2−i2i2−222i−2i0000000000000000−i2i2−2200−22000
χ4222-2-22200-2-222-2-2200-22-2−i2i200002-2−2i2i0000000−i2i2−i2i2−i2−i2i2i2−2i−2i2i2i0000002-2−i2i22−2−2i2i0000000000000000−i2i22−2002−2000
χ4322-2-22200-2-222-2-2200-22-2−i2i20000-222i−2i0000000−i2i2−i2i2−i2−i2i2i2−2i−2i2i2i000000-22i2−i2−222i−2i0000000000000000i2−i2−22002−2000
χ4422-2-22200-2-222-2-2200-22-2−i2i20000-22−2i2i0000000−i2i2−i2i2−i2−i2i2i22i2i−2i−2i000000-22i2−i22−2−2i2i0000000000000000i2−i22−200−22000
χ452-2-22222-2-2-2-2-22222-2-2-2200-2-222000002-22-22-2000000002-22-20000000000000000002-22-20000000000002-200000
χ462-2-22222-2-2-2-2-22222-2-2-2200-2-222000002-22-22-200000000-22-220000000000000000002-2-22000000000000-2200000
χ472-2-22222-2-2-2-2-2222-22-2-2200-2-22200000-22-222-2000000002-22-2000000000000000000-222-2000000000000-2200000
χ482-2-22222-2-2-2-2-2222-22-2-2200-2-22200000-22-222-200000000-22-22000000000000000000-22-220000000000002-200000
χ492-2-2222-22-2-2-2-222200-2-220022-2-2000000000-22000000002-22-202-202-200000000000000-220002-202-200000000000
χ502-2-2222-22-2-2-2-222200-2-220022-2-2000000000-22000000002-22-20-220-2200000000000000-22000-220-2200000000000
χ512-2-2222-22-2-2-2-222200-2-220022-2-2000000000-2200000000-22-2202-20-22000000000000002-20002-20-2200000000000
χ522-2-2222-22-2-2-2-222200-2-220022-2-2000000000-2200000000-22-220-2202-2000000000000002-2000-2202-200000000000
χ5344444-2-4-44-24-24-2-200-2-2-200-42-4200440000022000000000000-400000000000-2-2000000000020000000000000000
χ5444444-2-4-44-24-24-2-200-2-2-200-42-4200-4-40000022000000000000400000000000220000000000-20000000000000000
χ554444-24-4-4-24-24-24-200-2-2-2002-42-444000000022000000000000000-400-2-2000000000000000000020000000000000
χ564444-24-4-4-24-24-24-200-2-2-2002-42-4-4-4000000022000000000000000400220000000000000000000-20000000000000
χ574444-2-244-2-2-2-2-2-214411144-2-2-2-200004-2-2-2-211-2-2-2-21111000000000000000000-2-21111000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-20000-4-2-2-2-2112222-1-1-1-100000000000000000022-1-111000000000000000000000
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
χ6144-4-44-200-424-2-42-2002-222i2−2i20000004i−4i00000002i2−2i2−i2i2−i2−i2i2i20000000000000022−22−2i2i000000000000000000−220000000
χ6244-4-44-200-424-2-42-2002-222i2−2i2000000−4i4i00000002i2−2i2−i2i2−i2−i2i2i200000000000000−22222i−2i0000000000000000002−20000000
χ6344-4-44-200-424-2-42-2002-22−2i22i20000004i−4i0000000−2i22i2i2−i2i2i2−i2−i200000000000000−2222−2i2i0000000000000000002−20000000
χ6444-4-44-200-424-2-42-2002-22−2i22i2000000−4i4i0000000−2i22i2i2−i2i2i2−i2−i20000000000000022−222i−2i000000000000000000−220000000
χ6544-4-4-24002-4-242-4-2002-222i2−2i200004-4000000000−i2i22i2−2i2−i2−i2i2i20000000000-222i2−2i200000000000000000000−i2i2000000000
χ6644-4-4-24002-4-242-4-2002-222i2−2i20000-44000000000−i2i22i2−2i2−i2−i2i2i200000000002-2−2i22i200000000000000000000i2−i2000000000
χ6744-4-4-24002-4-242-4-2002-22−2i22i200004-4000000000i2−i2−2i22i2i2i2−i2−i20000000000-22−2i22i200000000000000000000i2−i2000000000
χ6844-4-4-24002-4-242-4-2002-22−2i22i20000-44000000000i2−i2−2i22i2i2i2−i2−i200000000002-22i2−2i200000000000000000000−i2i2000000000
χ694-44-4440044-4-4-4-44004-4-400000000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000
χ704-44-4440044-4-4-4-44004-4-40000000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000
χ714-4-444-24-4-42-424-2-24-422-200-424-2000004-4-22-22000000000000000000000000000000-22000000000000000000000
χ724-4-444-24-4-42-424-2-2-4422-200-424-200000-442-2-220000000000000000000000000000002-2000000000000000000000
χ734-4-444-2-44-42-424-2-20022-2004-2-420000000002-200000000000004-40000000000000000000000-2200000000000000
χ744-4-444-2-44-42-424-2-20022-2004-2-420000000002-20000000000000-4400000000000000000000002-200000000000000
χ754-4-44-244-42-42-4-24-24-422-2002-4-2400000-224-4-22000000000000000000000000000000-22000000000000000000000
χ764-4-44-244-42-42-4-24-2-4422-2002-4-24000002-2-44-220000000000000000000000000000002-2000000000000000000000
χ774-4-44-24-442-42-4-24-20022-200-242-40000000002-200000000000000004-40000000000000000000000-2200000000000
χ784-4-44-24-442-42-4-24-20022-200-242-40000000002-20000000000000000-4400000000000000000000002-200000000000
χ794-4-44-2-24-42222-2-214-4-1-110022-2-200000-22-221-100003i−3i3i−3i000000000000000000003i−3i1-1000000000000000000000
χ804-4-44-2-24-42222-2-214-4-1-110022-2-200000-22-221-10000−3i3i−3i3i00000000000000000000−3i3i1-1000000000000000000000
χ814-4-44-2-24-42222-2-21-44-1-110022-2-2000002-22-21-100003i−3i3i−3i00000000000000000000−3i3i-11000000000000000000000
χ824-4-44-2-24-42222-2-21-44-1-110022-2-2000002-22-21-10000−3i3i−3i3i000000000000000000003i−3i-11000000000000000000000
χ838888-4-4-8-8-4-4-4-4-4-4200222004444000000000-2-200000000000000000000000000000000000000000000000000000
χ8488-8-8-4-40044-4-444200-22-24i2−4i2000000000000000−2i22i2−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000000
χ8588-8-8-4-40044-4-444200-22-2−4i24i20000000000000002i2−2i22i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000000
χ868-88-88-4008-4-84-84-400-4440000000000000000000000000000000000000000000000000000000000000000000000
χ878-88-8-4800-484-84-8-400-4440000000000000000000000000000000000000000000000000000000000000000000000
χ888-88-8-4-400-4-444442002-2-200000000000000000000032−32−3232000000000000000000000000000000000000000000000
χ898-88-8-4-400-4-444442002-2-2000000000000000000000−323232−32000000000000000000000000000000000000000000000
χ908-8-88-4-4-884444-4-4200-2-2200-4-444000000000-2200000000000000000000000000000000000000000000000000000

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