Finite Group Databasebeta

← Group #11868614

Character table — Group #11868614

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444666688888888888888899991212121212121212121212121212161616161616181824242424242424242424242436363636484872
order1222334466666634466688121212124444412121212121224242424242424244444444444888812121212121212121212224412121212121224242424228812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-111111-1-1-1-111111111-1-11-1111-1-1-111-1-1-1-1-1-1-11-1
χ311111111111111111111111111-1-111111111111111111-1-1-1-1111-1-1-1-1-11111-1-1111111-1-1-11-1-1-1111-1-111-1-1-1-11-1-1
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
χ511111111111111111111-1-111111111-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-1-1-111-1-1-11111-1-1-1-1-111-1-1111-11
χ711111111111111111111-1-11111-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-1-1-1-1-111-1-11-1-1-1-111111-1-1-1-111-111
χ811111111111111111111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1
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
χ10111111111111111-1-111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-11-11
χ11111111111111111-1-1111111111-1-111-1-1-1-1-11111111111-1-1-1-11-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111-1-1-111
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
χ13111111111111111-1-1111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-111111111-1-111111-1-11-1-1-1-1-1-1-1-1-1-1111
χ14111111111111111-1-1111-1-1111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1111111-1-1-1-11-11-1-1-111-1-1111111-11-1
χ15111111111111111-1-1111-1-11111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-111-1-11111-1-1-1-1-11-1111-1-111-1-111111-1-1
χ16111111111111111-1-1111-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-111-1111111-1-1-1-11111-1-111-1-1-111-1111111-1-1-1-1-1-11
χ17222222-2-222222220022200-2-2-2-2222200000-2-2000000002222-200-20000002222000000-2-200-200-20000000000000
χ18222222-2-222222220022200-2-2-2-222-2-200000-2-200000000-2-2-2-2200-2000000-2-2220000002200-20020000000000000
χ19222222-2-222222220022200-2-2-2-2-2-22200000-2-200000000-2-2-2-2-200200000022-2-20000002200200-20000000000000
χ20222222-2-222222220022200-2-2-2-2-2-2-2-200000-2-20000000022222002000000-2-2-2-2000000-2-20020020000000000000
χ2122222-1222-12-12-1-122-1-1-1222-12-10022222-1-1-1-122-1-1-1-1-1-100002220000022-1-1002-1-1-1-1-10002000-1-1-100-1-10000-100
χ2222222-1222-12-12-1-122-1-1-1222-12-100-2-2222-1-1-1-122-1-1-1-1-1-10000-2-2-200000-2-211002-1-1-1-1-1000-200011100110000100
χ2322222-1222-12-12-1-122-1-1-1-2-22-12-10022-222-1-1-1-1-2-2111111000022200000-2-2-1-100-2111-1-1000-2000-1-1-100110000100
χ2422222-1222-12-12-1-122-1-1-1-2-22-12-100-2-2-222-1-1-1-1-2-21111110000-2-2-200000221100-2111-1-1000200011100-1-10000-100
χ2522222-1222-12-12-1-1-2-2-1-1-1222-12-10022-2-2-211-1-122-1-1-1-1-1-100002-2-20000022-1-100-211111000-2000-11100-1-10000100
χ2622222-1222-12-12-1-1-2-2-1-1-1222-12-100-2-2-2-2-211-1-122-1-1-1-1-1-10000-22200000-2-21100-21111100020001-1-100110000-100
χ2722222-1222-12-12-1-1-2-2-1-1-1-2-22-12-100222-2-211-1-1-2-211111100002-2-200000-2-2-1-1002-1-1-1110002000-11100110000-100
χ2822222-1222-12-12-1-1-2-2-1-1-1-2-22-12-100-2-22-2-211-1-1-2-21111110000-222000002211002-1-1-111000-20001-1-100-1-10000100
χ292222-1222-12-12-12-122-1-1-122-12-1222002-1-122-1-1-1-122-1-1-1-10000000222220000-1-1-12-1-1-1-10020-1-1-1000-1-10000000-10
χ302222-1222-12-12-12-122-1-1-122-12-12-2-2002-1-122-1-1-1-122-1-1-1-10000000-2-2-2-2-2000011-12-1-1-1-100-2011100011000000010
χ312222-1222-12-12-12-122-1-1-1-2-2-12-122200-2-1-122-1-111-2-211110000000222-2-20000-1-11-211-1-100-20-1-1-100011000000010
χ322222-1222-12-12-12-122-1-1-1-2-2-12-12-2-200-2-1-122-1-111-2-211110000000-2-2-2220000111-211-1-10020111000-1-10000000-10
χ332222-1222-12-12-12-1-2-2-1-1-122-12-122200-211-2-2-1-1-1-122-1-1-1-100000002-2-2220000-1-11-2111100-20-111000-1-1000000010
χ342222-1222-12-12-12-1-2-2-1-1-122-12-12-2-200-211-2-2-1-1-1-122-1-1-1-10000000-222-2-20000111-2111100201-1-1000110000000-10
χ352222-1222-12-12-12-1-2-2-1-1-1-2-2-12-122200211-2-2-1-111-2-2111100000002-2-2-2-20000-1-1-12-1-1110020-111000110000000-10
χ362222-1222-12-12-12-1-2-2-1-1-1-2-2-12-12-2-200211-2-2-1-111-2-211110000000-22222000011-12-1-11100-201-1-1000-1-1000000010
χ3722-2-2222-222-2-2-2-222-2-2-220022-2-2000002-22-22-20000000022-2-20000000000000000002-22-20000000000002-200000
χ3822-2-2222-222-2-2-2-222-2-2-220022-2-2000002-22-22-200000000-2-2220000000000000000002-2-22000000000000-2200000
χ3922-2-2222-222-2-2-2-22-22-2-220022-2-200000-22-222-20000000022-2-2000000000000000000-222-2000000000000-2200000
χ4022-2-2222-222-2-2-2-22-22-2-220022-2-200000-22-222-200000000-2-222000000000000000000-22-220000000000002-200000
χ4122-2-222-2222-2-2-2-2200-2-2200-2-222000000000-220000000022-2-202i−2i02i−2i00000000000000-220002i−2i02i−2i00000000000
χ4222-2-222-2222-2-2-2-2200-2-2200-2-222000000000-220000000022-2-20−2i2i0−2i2i00000000000000-22000−2i2i0−2i2i00000000000
χ4322-2-222-2222-2-2-2-2200-2-2200-2-222000000000-2200000000-2-22202i−2i0−2i2i000000000000002-2000−2i2i02i−2i00000000000
χ4422-2-222-2222-2-2-2-2200-2-2200-2-222000000000-2200000000-2-2220−2i2i02i−2i000000000000002-20002i−2i0−2i2i00000000000
χ452-22-22200-2-2-2-222200-22-2i2−i200002-22i−2i0000000i2−i2i2−i2i2i2−i2−i22i−2i2i−2i000000i2−i22−22i−2i2-20000000000000000i2−i22−2002−2000
χ462-22-22200-2-2-2-222200-22-2i2−i200002-2−2i2i0000000i2−i2i2−i2i2i2−i2−i2−2i2i−2i2i000000i2−i2−22−2i2i2-20000000000000000i2−i2−2200−22000
χ472-22-22200-2-2-2-222200-22-2i2−i20000-222i−2i0000000i2−i2i2−i2i2i2−i2−i2−2i2i−2i2i000000−i2i22−22i−2i-220000000000000000−i2i22−200−22000
χ482-22-22200-2-2-2-222200-22-2i2−i20000-22−2i2i0000000i2−i2i2−i2i2i2−i2−i22i−2i2i−2i000000−i2i2−22−2i2i-220000000000000000−i2i2−22002−2000
χ492-22-22200-2-2-2-222200-22-2−i2i200002-22i−2i0000000−i2i2−i2i2−i2−i2i2i22i−2i2i−2i000000−i2i2−222i−2i2-20000000000000000−i2i2−2200−22000
χ502-22-22200-2-2-2-222200-22-2−i2i200002-2−2i2i0000000−i2i2−i2i2−i2−i2i2i2−2i2i−2i2i000000−i2i22−2−2i2i2-20000000000000000−i2i22−2002−2000
χ512-22-22200-2-2-2-222200-22-2−i2i20000-222i−2i0000000−i2i2−i2i2−i2−i2i2i2−2i2i−2i2i000000i2−i2−222i−2i-220000000000000000i2−i2−22002−2000
χ522-22-22200-2-2-2-222200-22-2−i2i20000-22−2i2i0000000−i2i2−i2i2−i2−i2i2i22i−2i2i−2i000000i2−i22−2−2i2i-220000000000000000i2−i22−200−22000
χ5344444-2-4-44-24-24-2-200-2-2-200-42-4200440000022000000000000-4000000000-2-200000000000000020000000000000
χ5444444-2-4-44-24-24-2-200-2-2-200-42-4200-4-40000022000000000000400000000022000000000000000-20000000000000
χ554444-24-4-4-24-24-24-200-2-2-2002-42-444000000022000000000000000-400000000-2-2000000000020000000000000000
χ564444-24-4-4-24-24-24-200-2-2-2002-42-4-4-4000000022000000000000000400000000220000000000-20000000000000000
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
χ6144-4-44-24-44-2-42-42-24-422-2004-2-42000004-4-22-22000000000000000000000000000000-22000000000000000000000
χ6244-4-44-24-44-2-42-42-2-4422-2004-2-4200000-442-2-220000000000000000000000000000002-2000000000000000000000
χ6344-4-44-2-444-2-42-42-20022-200-424-20000000002-200000000000004i−4i0000000000000000000000000−2i2i00000000000
χ6444-4-44-2-444-2-42-42-20022-200-424-20000000002-20000000000000−4i4i00000000000000000000000002i−2i00000000000
χ6544-4-4-244-4-242-42-4-24-422-200-242-400000-224-4-22000000000000000000000000000000-22000000000000000000000
χ6644-4-4-244-4-242-42-4-2-4422-200-242-4000002-2-44-220000000000000000000000000000002-2000000000000000000000
χ6744-4-4-24-44-242-42-4-20022-2002-4-240000000002-200000000000000004i−4i0000000000000000000−2i2i00000000000000
χ6844-4-4-24-44-242-42-4-20022-2002-4-240000000002-20000000000000000−4i4i00000000000000000002i−2i00000000000000
χ6944-4-4-2-24-4-2-2222214-4-1-1100-2-22200000-22-221-100003i−3i3i−3i000000000000000000003i−3i1-1000000000000000000000
χ7044-4-4-2-24-4-2-2222214-4-1-1100-2-22200000-22-221-10000−3i3i−3i3i00000000000000000000−3i3i1-1000000000000000000000
χ7144-4-4-2-24-4-2-222221-44-1-1100-2-222000002-22-21-100003i−3i3i−3i00000000000000000000−3i3i-11000000000000000000000
χ7244-4-4-2-24-4-2-222221-44-1-1100-2-222000002-22-21-10000−3i3i−3i3i000000000000000000003i−3i-11000000000000000000000
χ734-44-44-200-42-424-2-2002-222i2−2i20000004i−4i00000002i2−2i2−i2i2−i2−i2i2i200000000000022−22−2i2i00000000000000000000−220000000
χ744-44-44-200-42-424-2-2002-222i2−2i2000000−4i4i00000002i2−2i2−i2i2−i2−i2i2i2000000000000−22222i−2i000000000000000000002−20000000
χ754-44-44-200-42-424-2-2002-22−2i22i20000004i−4i0000000−2i22i2i2−i2i2i2−i2−i2000000000000−2222−2i2i000000000000000000002−20000000
χ764-44-44-200-42-424-2-2002-22−2i22i2000000−4i4i0000000−2i22i2i2−i2i2i2−i2−i200000000000022−222i−2i00000000000000000000−220000000
χ774-44-4-24002-42-4-24-2002-222i2−2i200004-4000000000−i2i22i2−2i2−i2−i2i2i200000000002i2−2i20000-220000000000000000−i2i2000000000
χ784-44-4-24002-42-4-24-2002-222i2−2i20000-44000000000−i2i22i2−2i2−i2−i2i2i20000000000−2i22i200002-20000000000000000i2−i2000000000
χ794-44-4-24002-42-4-24-2002-22−2i22i200004-4000000000i2−i2−2i22i2i2i2−i2−i20000000000−2i22i20000-220000000000000000i2−i2000000000
χ804-44-4-24002-42-4-24-2002-22−2i22i20000-44000000000i2−i2−2i22i2i2i2−i2−i200000000002i2−2i200002-20000000000000000−i2i2000000000
χ814-4-444400-4-444-4-44004-4-400000000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000
χ824-4-444400-4-444-4-44004-4-40000000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000
χ838888-4-4-8-8-4-4-4-4-4-4200222004444000000000-2-200000000000000000000000000000000000000000000000000000
χ8488-8-8-4-4-88-4-44444200-2-220044-4-4000000000-2200000000000000000000000000000000000000000000000000000
χ858-88-8-4-4004444-4-4200-22-24i2−4i2000000000000000−2i22i2−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000000
χ868-88-8-4-4004444-4-4200-22-2−4i24i20000000000000002i2−2i22i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000000
χ878-8-888-400-848-4-84-400-4440000000000000000000000000000000000000000000000000000000000000000000000
χ888-8-88-48004-8-484-8-400-4440000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-40044-4-4442002-2-200000000000000000000032−32−3232000000000000000000000000000000000000000000000
χ908-8-88-4-40044-4-4442002-2-2000000000000000000000−323232−32000000000000000000000000000000000000000000000

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