Finite Group Databasebeta

← Group #11870459

Character table — Group #11870459

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444666688888888888888899991212121212121212121212121212161616161616181824242424242424242424242436363636484872
order1222334466666634466688121212122244212121212121224242424242424244444224444668888121266661212442466121212122424242422886124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111111111111-1-1-1-1-1-11-11111-1-111-1-1111111-1-1-11-1-1-111111-1-1-1-1-1-1-11-1
χ311111111111111111111111111-1-111111111111111111-1-1-1-111-11-1-1-1-111-1-111111111-1-11-1111-1-1-1-1-111-1-1-1-11-1-1
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
χ611111111111111111111-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-1-1-1-1-111-1-11-1-1-1-1111-1-111-1-1111-11
χ711111111111111111111-1-11111-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-11111-1-1-1-111-1-1-11111-1-1-111-1-1-1-111-111
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
χ9111111111111111-1-11111111111111-1-1-1-1-111111111111111-1-111-1-111111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1
χ10111111111111111-1-111111111111-1-1-1-1-1-1-11111111111-1-1-1-1111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-111-11-1-111-1-111-1-11-11
χ11111111111111111-1-1111111111-1-111-1-1-1-1-11111111111-1-1-1-1-1-1-1111-1-111-1-111-1-1-1-1-1-1-1-1-11-1-11-111-1-11111-1-1-111
χ12111111111111111-1-1111111111-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1
χ13111111111111111-1-1111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111
χ14111111111111111-1-1111-1-1111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-11111-1-1-1-11111-1-1-1-1-1111-11-1-1-1-1111111-11-1
χ15111111111111111-1-1111-1-11111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-11-1-1-11-11111-1-111111-1-1
χ16111111111111111-1-1111-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-11111-1-111-1-111-1-1111111-1-1-1-1-1-11
χ17222222-2-222222220022200-2-2-2-2222200000-2-200000000222200-2-20022000022000000-2-20000-2-20000000000000
χ18222222-2-222222220022200-2-2-2-222-2-200000-2-200000000-2-2-2-200-2200220000-2-20000002200002-20000000000000
χ19222222-2-222222220022200-2-2-2-2-2-22200000-2-200000000-2-2-2-2002-200-2-2000022000000220000-220000000000000
χ20222222-2-222222220022200-2-2-2-2-2-2-2-200000-2-2000000002222002200-2-20000-2-2000000-2-20000220000000000000
χ2122222-1222-1-12-12-122-1-1-122-122-100222-1-122-1-122-1-1-1-1-1-10000220200002200-1-12-1-1-1-1-10020-1-1-100000-1-10000-100
χ2222222-1222-1-12-12-122-1-1-122-122-100-2-22-1-122-1-122-1-1-1-1-1-10000-2-20-20000-2-200112-1-1-1-1-100-2011100000110000100
χ2322222-1222-1-12-12-122-1-1-1-2-2-122-10022-2-1-122-1-1-2-2111111000022020000-2-200-1-1-2111-1-100-20-1-1-100000110000100
χ2422222-1222-1-12-12-122-1-1-1-2-2-122-100-2-2-2-1-122-1-1-2-21111110000-2-20-20000220011-2111-1-1002011100000-1-10000-100
χ2522222-1222-1-12-12-1-2-2-1-1-122-122-10022-211-2-2-1-122-1-1-1-1-1-10000-2-20200002200-1-1-21111100-2011-100000-1-10000100
χ2622222-1222-1-12-12-1-2-2-1-1-122-122-100-2-2-211-2-2-1-122-1-1-1-1-1-10000220-20000-2-20011-2111110020-1-1100000110000-100
χ2722222-1222-1-12-12-1-2-2-1-1-1-2-2-122-10022211-2-2-1-1-2-21111110000-2-2020000-2-200-1-12-1-1-111002011-100000110000-100
χ2822222-1222-1-12-12-1-2-2-1-1-1-2-2-122-100-2-2211-2-2-1-1-2-21111110000220-200002200112-1-1-11100-20-1-1100000-1-10000100
χ292222-1222-122-12-1-122-1-1-1222-1-122200222-1-1-1-1-1-122-1-1-1-10000002022-1-1002200-12-1-1-1-10002000-1-1-1-1-10000000-10
χ302222-1222-122-12-1-122-1-1-1222-1-12-2-200222-1-1-1-1-1-122-1-1-1-1000000-20-2-21100-2-200-12-1-1-1-1000-200011111000000010
χ312222-1222-122-12-1-122-1-1-1-2-22-1-122200-222-1-1-1-111-2-211110000002022-1-100-2-2001-211-1-1000-2000-1-1-111000000010
χ322222-1222-122-12-1-122-1-1-1-2-22-1-12-2-200-222-1-1-1-111-2-21111000000-20-2-2110022001-211-1-10002000111-1-10000000-10
χ332222-1222-122-12-1-1-2-2-1-1-1222-1-122200-2-2-211-1-1-1-122-1-1-1-100000020-2-2-1-10022001-21111000-2000-111-1-1000000010
χ342222-1222-122-12-1-1-2-2-1-1-1222-1-12-2-200-2-2-211-1-1-1-122-1-1-1-1000000-20221100-2-2001-2111100020001-1-1110000000-10
χ352222-1222-122-12-1-1-2-2-1-1-1-2-22-1-1222002-2-211-1-111-2-2111100000020-2-2-1-100-2-200-12-1-1110002000-111110000000-10
χ362222-1222-122-12-1-1-2-2-1-1-1-2-22-1-12-2-2002-2-211-1-111-2-21111000000-202211002200-12-1-111000-20001-1-1-1-1000000010
χ3722-2-2222-2-22-22-2-2200-22-200-22-22000000000-22000000002i2i−2i−2i2-2002i−2i000000000000002i−2i002-2002i−2i00000000000
χ3822-2-2222-2-22-22-2-2200-22-200-22-22000000000-22000000002i2i−2i−2i-2200−2i2i000000000000002i−2i00-2200−2i2i00000000000
χ3922-2-2222-2-22-22-2-2200-22-200-22-22000000000-2200000000−2i−2i2i2i2-200−2i2i00000000000000−2i2i002-200−2i2i00000000000
χ4022-2-2222-2-22-22-2-2200-22-200-22-22000000000-2200000000−2i−2i2i2i-22002i−2i00000000000000−2i2i00-22002i−2i00000000000
χ4122-2-222-22-22-22-2-222i−2i-22-2002-22-2000002i−2i2i−2i2-2000000002i2i−2i−2i0000000000000000002i−2i−2i2i0000000000002-200000
χ4222-2-222-22-22-22-2-222i−2i-22-2002-22-2000002i−2i2i−2i2-200000000−2i−2i2i2i0000000000000000002i−2i2i−2i000000000000-2200000
χ4322-2-222-22-22-22-2-22−2i2i-22-2002-22-200000−2i2i−2i2i2-2000000002i2i−2i−2i000000000000000000−2i2i−2i2i000000000000-2200000
χ4422-2-222-22-22-22-2-22−2i2i-22-2002-22-200000−2i2i−2i2i2-200000000−2i−2i2i2i000000000000000000−2i2i2i−2i0000000000002-200000
χ452-2-222200-2-2-2-222200-2-222−200002-22-200000002−22−222−2−22-22-20000002-22−22−22-200000000000000002−22−2002−2000
χ462-2-222200-2-2-2-222200-2-222−200002-2-2200000002−22−222−2−2-22-220000002-2−222−2-2200000000000000002−2−2200−22000
χ472-2-222200-2-2-2-222200-2-222−20000-222-200000002−22−222−2−2-22-22000000-222−2−222-20000000000000000−222−200−22000
χ482-2-222200-2-2-2-222200-2-222−20000-22-2200000002−22−222−2−22-22-2000000-22−22−22-220000000000000000−22−22002−2000
χ492-2-222200-2-2-2-222200-2-22−2200002-22-20000000−22−22−2−2222-22-20000002-2−22−222-20000000000000000−22−2200−22000
χ502-2-222200-2-2-2-222200-2-22−2200002-2-220000000−22−22−2−222-22-220000002-22−2−22-220000000000000000−222−2002−2000
χ512-2-222200-2-2-2-222200-2-22−220000-222-20000000−22−22−2−222-22-22000000-22−222−22-200000000000000002−2−22002−2000
χ522-2-222200-2-2-2-222200-2-22−220000-22-220000000−22−22−2−2222-22-2000000-222−22−2-2200000000000000002−22−200−22000
χ5344444-2-4-44-2-24-24-200-2-2-2002-4-4200440000022000000000000000-400000000-2-2000000000000200000000000000
χ5444444-2-4-44-2-24-24-200-2-2-2002-4-4200-4-4000002200000000000000040000000022000000000000-200000000000000
χ554444-24-4-4-244-24-2-200-2-2-200-422-44400000002200000000000000-4000-2-2000000000000000000020000000000000
χ564444-24-4-4-244-24-2-200-2-2-200-422-4-4-4000000022000000000000004000220000000000000000000-20000000000000
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
χ6144-4-44-24-4-4-2242-4-2002-220024-4-20000000002-20000000000004-40000000000000000000000-22000000000000000
χ6244-4-44-24-4-4-2242-4-2002-220024-4-20000000002-2000000000000-4400000000000000000000002-2000000000000000
χ6344-4-44-2-44-4-2242-4-24i−4i2-2200-2-44200000−2i2i4i−4i-22000000000000000000000000000000−2i2i000000000000000000000
χ6444-4-44-2-44-4-2242-4-2−4i4i2-2200-2-442000002i−2i−4i4i-220000000000000000000000000000002i−2i000000000000000000000
χ6544-4-4-244-424-4-2-42-2002-2200-4-2240000000002-200000000000000004i−4i0000000000000000000000−2i2i00000000000
χ6644-4-4-244-424-4-2-42-2002-2200-4-2240000000002-20000000000000000−4i4i00000000000000000000002i−2i00000000000
χ6744-4-4-24-4424-4-2-42-24i−4i2-220042-2-4000004i−4i−2i2i-22000000000000000000000000000000−2i2i000000000000000000000
χ6844-4-4-24-4424-4-2-42-2−4i4i2-220042-2-400000−4i4i2i−2i-220000000000000000000000000000002i−2i000000000000000000000
χ6944-4-4-2-2-442-22-22214i−4i-11-100-22-2200000−2i2i−2i2i1-100003i−3i3i−3i000000000000000000003-3i−i000000000000000000000
χ7044-4-4-2-2-442-22-22214i−4i-11-100-22-2200000−2i2i−2i2i1-10000−3i3i−3i3i00000000000000000000-33i−i000000000000000000000
χ7144-4-4-2-2-442-22-2221−4i4i-11-100-22-22000002i−2i2i−2i1-100003i−3i3i−3i00000000000000000000-33−ii000000000000000000000
χ7244-4-4-2-2-442-22-2221−4i4i-11-100-22-22000002i−2i2i−2i1-10000−3i3i−3i3i000000000000000000003-3−ii000000000000000000000
χ734-44-444004-44-4-4-44004-4-400000000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000
χ744-44-444004-44-4-4-44004-4-40000000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000
χ754-4-444-200-422-4-24-20022-222−220000004-4000000022−22−22−2−22200000000000022−2200-22000000000000000000−220000000
χ764-4-444-200-422-4-24-20022-222−22000000-44000000022−22−22−2−222000000000000−2222002-20000000000000000002−20000000
χ774-4-444-200-422-4-24-20022-2−22220000004-40000000−22222−222−2−2000000000000−222200-220000000000000000002−20000000
χ784-4-444-200-422-4-24-20022-2−2222000000-440000000−22222−222−2−200000000000022−22002-2000000000000000000−220000000
χ794-4-44-24002-4-424-2-20022-222−2200004-4000000000−2222−22−2−2220000000000-220022−22000000000000000000−22000000000
χ804-4-44-24002-4-424-2-20022-222−220000-44000000000−2222−22−2−22200000000002-200−22220000000000000000002−2000000000
χ814-4-44-24002-4-424-2-20022-2−222200004-40000000002−2−222222−2−20000000000-2200−22220000000000000000002−2000000000
χ824-4-44-24002-4-424-2-20022-2−22220000-440000000002−2−222222−2−200000000002-20022−22000000000000000000−22000000000
χ838888-4-4-8-8-4-4-4-4-4-4200222004444000000000-2-200000000000000000000000000000000000000000000000000000
χ8488-8-8-4-48-84-44-444200-22-2004-44-4000000000-2200000000000000000000000000000000000000000000000000000
χ858-88-88-40084-4-84-8-400-4440000000000000000000000000000000000000000000000000000000000000000000000
χ868-88-8-4800-4-884-84-400-4440000000000000000000000000000000000000000000000000000000000000000000000
χ878-88-8-4-400-44-44442002-2-20000000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000000000
χ888-88-8-4-400-44-44442002-2-2000000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000000000
χ898-8-88-4-4004444-4-4200-2-2242−42000000000000000−2222−222222−2−2000000000000000000000000000000000000000000000
χ908-8-88-4-4004444-4-4200-2-22−424200000000000000022−2222−22−2−222000000000000000000000000000000000000000000000

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