Finite Group Databasebeta

← Group #11867772

Character table — Group #11867772

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222244444444444444666666668888888888888812121212121212121212121212121212161616161616242424242424242424243636363648487272
order1222334466666636668812121212242424242244888824661212121224242424242424666688121212122424242466612121244441212121224242488121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111111111111111-1-111-1-111-1-111-1-1-1-1111111-111-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111-1-1-1-11111
χ51111111111111111111111111111-1-1-1-111111111111111111111-1-111-1-111-1-111111111111-1-11-1-1-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111-1-1-1-11111-1-1-1-1-1-11111111111-1-111-1-111-1-11111-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1
χ9111111111111111111-1-11111-1-1-1-1111111111-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1-111-1-111-1-1-1-1-1-1111-11-1
χ10111111111111111111-1-11111-1-1-1-111111111-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1111-1-111-1-111-1-1-1-111-11-11
χ11111111111111111111-1-11111-1-1-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-1111-1-1-1-11-1111-1-1-1-111-1-1-11-11
χ12111111111111111111-1-11111-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-11111-11-1-1-111-1-111-1-11-11-1
χ13111111111111111111-1-11111-1-1-1-1-1-1-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-11-11-1-1-1111111-1-11-1-11
χ14111111111111111111-1-11111-1-1-1-1-1-1-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1111-11-1111-1-11111-1-1-111-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1111-1-1-1-1-111-1-11111-1-111-111-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-111111-1-111-1-111-1-1111-1-11
χ17222222-2-2222222222200-2-2-2-2000022-2-20000000000-2-20000002-2222200-2-2-2-200000000000000000000-22000000
χ18222222-2-2222222222200-2-2-2-2000022-2-20000000000-2-2000000-2222-2-20022-2-2000000000000000000002-2000000
χ19222222-2-2222222222200-2-2-2-20000-2-2220000000000-2-20000002-2-2-22200-2-222000000000000000000002-2000000
χ20222222-2-2222222222200-2-2-2-20000-2-2220000000000-2-2000000-22-2-2-2-200222200000000000000000000-22000000
χ2122222-12222-1-1-12-1-1-1-122-12-12-1-1-1-100002222222222-1-122-1-1-1-12200-1-100-1-100-1-1-1-1-1-1-1-1-1-120020000000000-1-100
χ2222222-12222-1-1-12-1-1-1-122-12-12-1-1-1-100002222-2-2-2-2-2-2-1-122-1-1-1-12200-1-100-1-100-1-1-1-1111111-200-200000000001100
χ2322222-12222-1-1-12-1-1-1-122-12-12-1-1-1-10000-2-2-2-2222222-1-122-1-1-1-1-2-200110011001111-1-1-1-1-1-1-200-200000000001100
χ2422222-12222-1-1-12-1-1-1-122-12-12-1-1-1-10000-2-2-2-2-2-2-2-2-2-2-1-122-1-1-1-1-2-20011001100111111111120020000000000-1-100
χ2522222-12222-1-1-12-1-1-1-1-2-2-12-121111000022222-222-2-2-1-1-2-21111-2-20011001100-1-1-1-1-1-1-1111200-20000000000-1100
χ2622222-12222-1-1-12-1-1-1-1-2-2-12-12111100002222-22-2-222-1-1-2-21111-2-20011001100-1-1-1-1111-1-1-1-200200000000001-100
χ2722222-12222-1-1-12-1-1-1-1-2-2-12-1211110000-2-2-2-22-222-2-2-1-1-2-211112200-1-100-1-1001111-1-1-1111-200200000000001-100
χ2822222-12222-1-1-12-1-1-1-1-2-2-12-1211110000-2-2-2-2-22-2-222-1-1-2-211112200-1-100-1-1001111111-1-1-1200-20000000000-1100
χ292222-1222-1-1222-1-1-1-1-1222-12-122222222000022-1-1-1-1-1-1-1-1-1-1-1-100-1-1002200-1-100002-1-12-1-10220-1-1-1-1-1-100000000
χ302222-1222-1-1222-1-1-1-1-1222-12-1222222220000-2-21111-1-1-1-1-1-1-1-100-1-1002200-1-10000-211-2110-2-201111-1-100000000
χ312222-1222-1-1222-1-1-1-1-1222-12-12222-2-2-2-2000022-1-1-1-1-1-1-1-1-1-1-1-1001100-2-2001100002-1-12-1-10-2-2011111100000000
χ322222-1222-1-1222-1-1-1-1-1222-12-12222-2-2-2-20000-2-21111-1-1-1-1-1-1-1-1001100-2-200110000-211-2110220-1-1-1-11100000000
χ332222-1222-1-1222-1-1-1-1-1-2-22-12-1-2-2-2-2222200002-2-1-111-1-111111100-1-100-2-200-1-100002-1-1-21102-20-1-1111100000000
χ342222-1222-1-1222-1-1-1-1-1-2-22-12-1-2-2-2-222220000-2211-1-1-1-111111100-1-100-2-200-1-10000-2112-1-10-22011-1-11100000000
χ352222-1222-1-1222-1-1-1-1-1-2-22-12-1-2-2-2-2-2-2-2-200002-2-1-111-1-111111100110022001100002-1-1-2110-22011-1-1-1-100000000
χ362222-1222-1-1222-1-1-1-1-1-2-22-12-1-2-2-2-2-2-2-2-20000-2211-1-1-1-11111110011002200110000-2112-1-102-20-1-111-1-100000000
χ372-22-2222-2-2-22-2-222-2-220022-2-200002-22-22i2i−2i−2i0000002-2000000002-20000002-22i2i−2i−2i0000000000000000002i−2i0000
χ382-22-2222-2-2-22-2-222-2-220022-2-200002-22-2−2i−2i2i2i0000002-2000000002-20000002-2−2i−2i2i2i000000000000000000−2i2i0000
χ392-22-2222-2-2-22-2-222-2-220022-2-20000-22-222i2i−2i−2i0000002-200000000-22000000-222i2i−2i−2i000000000000000000−2i2i0000
χ402-22-2222-2-2-22-2-222-2-220022-2-20000-22-22−2i−2i2i2i0000002-200000000-22000000-22−2i−2i2i2i0000000000000000002i−2i0000
χ412-22-222-22-2-22-2-222-2-222-2-2-22222-2-22-2-220000000000-222-222-2-2002-2002-200-220000000000000000002-200000000
χ422-22-222-22-2-22-2-222-2-222-2-2-22222-2-2-222-20000000000-222-222-2-200-2200-22002-2000000000000000000-2200000000
χ432-22-222-22-2-22-2-222-2-22-22-2-222-2-2222-2-220000000000-22-22-2-222002-200-2200-22000000000000000000-2200000000
χ442-22-222-22-2-22-2-222-2-22-22-2-222-2-222-222-20000000000-22-22-2-22200-22002-2002-20000000000000000002-200000000
χ452-22-2-12-22112-2-2-1-111-12-2-212-122-2-22-2-22000000−i3i3−i3i31-1-11-1-11100-11002-2001-100000−i3i30−i3i30000−i3i3−i3i3-1100000000
χ462-22-2-12-22112-2-2-1-111-12-2-212-122-2-22-2-22000000i3−i3i3−i31-1-11-1-11100-11002-2001-100000i3−i30i3−i30000i3−i3i3−i3-1100000000
χ472-22-2-12-22112-2-2-1-111-12-2-212-122-2-2-222-2000000−i3i3−i3i31-1-11-1-111001-100-2200-1100000−i3i30−i3i30000i3−i3i3−i31-100000000
χ482-22-2-12-22112-2-2-1-111-12-2-212-122-2-2-222-2000000i3−i3i3−i31-1-11-1-111001-100-2200-1100000i3−i30i3−i30000−i3i3−i3i31-100000000
χ492-22-2-12-22112-2-2-1-111-1-22-212-1-2-2222-2-22000000−i3i3i3−i31-11-111-1-100-1100-22001-100000−i3i30i3−i30000−i3i3i3−i31-100000000
χ502-22-2-12-22112-2-2-1-111-1-22-212-1-2-2222-2-22000000i3−i3−i3i31-11-111-1-100-1100-22001-100000i3−i30−i3i30000i3−i3−i3i31-100000000
χ512-22-2-12-22112-2-2-1-111-1-22-212-1-2-222-222-2000000−i3i3i3−i31-11-111-1-1001-1002-200-1100000−i3i30i3−i30000i3−i3−i3i3-1100000000
χ522-22-2-12-22112-2-2-1-111-1-22-212-1-2-222-222-2000000i3−i3−i3i31-11-111-1-1001-1002-200-1100000i3−i30−i3i30000−i3i3i3−i3-1100000000
χ5344444-2-4-444-2-2-24-2-2-2-2002-42-4000000000000000000220000004-400-2-20022000000000000000000000000000000
χ5444444-2-4-444-2-2-24-2-2-2-2002-42-400000000000000000022000000-44002200-2-2000000000000000000000000000000
χ554444-24-4-4-2-2444-2-2-2-2-200-42-42000044-4-400000000002200000000-2-2000000220000000000000000000000000000
χ564444-24-4-4-2-2444-2-2-2-2-200-42-420000-4-4440000000000220000000022000000-2-20000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20000000044-2-2-2-211-2-211110000000000000000-211-211000000000000000000
χ584444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000000-4-4222211-2-2111100000000000000002-1-12-1-1000000000000000000
χ594444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000004-4-2-2221122-1-1-1-10000000000000000-2112-1-1000000000000000000
χ604444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200000000-4422-2-21122-1-1-1-100000000000000002-1-1-211000000000000000000
χ6144-4-444004-4-44-4-444-4-40000000000000022−2222−220000000000000000000000000022−2222−22000000000000000000000000
χ6244-4-444004-4-44-4-444-4-400000000000000−2222−222200000000000000000000000000−2222−2222000000000000000000000000
χ6344-4-44-2004-42-22-4-2-2220000006−66−6000022−2222−2200000000006−66−60000000023−2300−22−22000000000000000000000000
χ6444-4-44-2004-42-22-4-2-2220000006−66−60000−2222−222200000000006−66−600000000−2323002−22−2000000000000000000000000
χ6544-4-44-2004-42-22-4-2-222000000−66−66000022−2222−220000000000−66−6600000000−232300−22−22000000000000000000000000
χ6644-4-44-2004-42-22-4-2-222000000−66−660000−2222−22220000000000−66−660000000023−23002−22−2000000000000000000000000
χ674-44-44-24-4-4-4-2224-222-200-242-4000000004i4i−4i−4i000000-22000000000000000000−2i−2i2i2i000000000000000000000000
χ684-44-44-24-4-4-4-2224-222-200-242-400000000−4i−4i4i4i000000-220000000000000000002i2i−2i−2i000000000000000000000000
χ694-44-44-2-44-4-4-2224-222-24-42-4-24-2-222000000000000002-24-4-2-2220000000000000000000000000000000000000000
χ704-44-44-2-44-4-4-2224-222-2-442-4-2422-2-2000000000000002-2-4422-2-20000000000000000000000000000000000000000
χ714-44-4-244-4224-4-4-2-222-2004-2-4200004-44-40000000000-2200000000-22000000-220000000000000000000000000000
χ724-44-4-244-4224-4-4-2-222-2004-2-420000-44-440000000000-22000000002-20000002-20000000000000000000000000000
χ734-44-4-2-2-4422-222-21-1-114-422-2-2-2-2220000000000−2i32i3−2i32i3-11-2211-1-100000000000000000i3−i30i3−i3000000000000000000
χ744-44-4-2-2-4422-222-21-1-114-422-2-2-2-22200000000002i3−2i32i3−2i3-11-2211-1-100000000000000000−i3i30−i3i3000000000000000000
χ754-44-4-2-2-4422-222-21-1-11-4422-2-222-2-20000000000−2i32i32i3−2i3-112-2-1-11100000000000000000i3−i30−i3i3000000000000000000
χ764-44-4-2-2-4422-222-21-1-11-4422-2-222-2-200000000002i3−2i3−2i32i3-112-2-1-11100000000000000000−i3i30i3−i3000000000000000000
χ774-4-444400-44-4-44-44-44-400000000000000−2i22i22i2−2i200000000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ784-4-444400-44-4-44-44-44-4000000000000002i2−2i2−2i22i2000000000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ794-4-444-200-4422-2-4-22-220000006−6−660000−2i22i22i2−2i200000000006−6−660000−2i32i3000000i2−i2−i2i2000000000000000000000000
χ804-4-444-200-4422-2-4-22-220000006−6−6600002i2−2i2−2i22i200000000006−6−6600002i3−2i3000000−i2i2i2−i2000000000000000000000000
χ814-4-444-200-4422-2-4-22-22000000−666−60000−2i22i22i2−2i20000000000−666−600002i3−2i3000000i2−i2−i2i2000000000000000000000000
χ824-4-444-200-4422-2-4-22-22000000−666−600002i2−2i2−2i22i20000000000−666−60000−2i32i3000000−i2i2i2−i2000000000000000000000000
χ838888-4-4-8-8-4-4-4-4-4-42222004444000000000000000000-2-20000000000000000000000000000000000000000000000
χ8488-8-8-4800-44-88-84-4-444000000000000000000000000000000000000000000000000000000000000000000000000
χ8588-8-8-4-400-444-44422-2-200000026−2626−26000000000000000000−66−660000000000000000000000000000000000000000
χ8688-8-8-4-400-444-44422-2-2000000−2626−26260000000000000000006−66−60000000000000000000000000000000000000000
χ878-88-8-4-48-844-444-42-2-2200-4-4440000000000000000002-20000000000000000000000000000000000000000000000
χ888-8-88-48004-4-8-884-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-4004-444-442-22-200000026−26−2626000000000000000000−666−60000000000000000000000000000000000000000
χ908-8-88-4-4004-444-442-22-2000000−262626−260000000000000000006−6−660000000000000000000000000000000000000000

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