Finite Group Databasebeta

← Group #11864586

Character table — Group #11864586

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order12223344666666223666881212121224242424224412121212466661212121224242424242422244466668824242424661212122466668121212242422241248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-111-111-1-1111111111111-111-1-1-1-111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-11-1-111-1-1-1-1-1-111111-11-1-11111-1-111-1-1-1-11-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ511111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-111-1111-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-11-11111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111-1-11-1-11111111111-1-1-11-11111-11-1-1-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-11111-1-11-1-1-11111111-1-1
χ911111111111111-1-11111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-111-1-1111111-1-1-1-1-1-11-1-111-1-1-1-1-1-111-1-111-1
χ1011111111111111-1-11111111111111111111111-1-1-1-1-1-1-111111111-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11
χ1111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111-11
χ1211111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-11-111-1-111111111-1-1-11-1
χ1311111111111111-1-11111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-111111-1-1-11111-1-1-1-11
χ1411111111111111-1-11111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111111-1-1-11-1-1-1-1-1-11111-1
χ1511111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-111-1-1-1-1-1111111-1-1111-1-1-1-1111-11111-1-111-11-1
χ1611111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111111-1-1111-11-1-1-1-1-1111-1-111-1-11-11
χ17222222-2-222222200222200-2-2-2-2000022-2-2-2-2-2-20000000-2-200000000200-22222000000000000000000-2000000-22000
χ18222222-2-222222200222200-2-2-2-2000022-2-2-2-2-2-20000000-2-200000000-200222-2-200000000000000000020000002-2000
χ19222222-2-222222200222200-2-2-2-20000-2-22222220000000-2-200000000200-2-2-222000000000000000000-20000002-2000
χ20222222-2-222222200222200-2-2-2-20000-2-22222220000000-2-200000000-2002-2-2-2-20000000000000000002000000-22000
χ2122222-12222-1-1-1222-1-1-1-1222-1-12222200000000222-1-122-1-1-1-1-1-1-1-122200200-1-1000000-1-1-1-1-10200-1-12-100-1-10000-100
χ2222222-12222-1-1-1222-1-1-1-1222-1-12222200000000222-1-122-1-1-1-1-1-1-1-1-2-2-200-20011000000-1-1-1-1-10-20011-2100110000100
χ2322222-12222-1-1-1222-1-1-1-1-2-22-1-12-2-2-2-200000000-222-1-1-2-2-1-111111122200200-1-1000000-1-11110-200-1-1-2-100110000100
χ2422222-12222-1-1-1222-1-1-1-1-2-22-1-12-2-2-2-200000000-222-1-1-2-2-1-1111111-2-2-200-20011000000-1-11110200112100-1-10000-100
χ2522222-12222-1-1-12-2-2-1-1-1-1222-1-12222200000000-2-2-211-2-2-1-1-1-1-1-1-1-122-200-20011000000111110200-1-1-2100110000-100
χ2622222-12222-1-1-12-2-2-1-1-1-1222-1-12222200000000-2-2-211-2-2-1-1-1-1-1-1-1-1-2-2200200-1-1000000111110-200112-100-1-10000100
χ2722222-12222-1-1-12-2-2-1-1-1-1-2-22-1-12-2-2-2-2000000002-2-21122-1-111111122-200-2001100000011-1-1-10-200-1-12100-1-10000100
χ2822222-12222-1-1-12-2-2-1-1-1-1-2-22-1-12-2-2-2-2000000002-2-21122-1-1111111-2-2200200-1-100000011-1-1-1020011-2-100110000-100
χ292222-1222-1-1222-122-1-1-1-122-122-1-1-1-1-12222-1-1-1-12-1-122-1-1-1-122-1-1-1-1000220-1-10022-1-1-1-1-1-12-1-120-1-10000-1-1000000000
χ302222-1222-1-1222-122-1-1-1-122-122-1-1-1-1-1-2-2-2-211112-1-122-1-1-1-122-1-1-1-1000-2-201100-2-21111-1-12-1-1-2011000011000000000
χ312222-1222-1-1222-122-1-1-1-1-2-2-122-111112222-1-1-1-1-2-1-12211-1-1-2-21111000220-1-100-2-21111-1-1-211-20110000-1-1000000000
χ322222-1222-1-1222-122-1-1-1-1-2-2-122-11111-2-2-2-21111-2-1-12211-1-1-2-21111000-2-20110022-1-1-1-1-1-1-21120-1-1000011000000000
χ332222-1222-1-1222-1-2-2-1-1-1-122-122-1-1-1-1-12222-1-1-1-1-211-2-211-1-122-1-1-1-1000-2-20-1-10022-1-1-1-111-211-2011000011000000000
χ342222-1222-1-1222-1-2-2-1-1-1-122-122-1-1-1-1-1-2-2-2-21111-211-2-211-1-122-1-1-1-10002201100-2-2111111-21120-1-10000-1-1000000000
χ352222-1222-1-1222-1-2-2-1-1-1-1-2-2-122-111112222-1-1-1-1211-2-2-1-1-1-1-2-21111000-2-20-1-100-2-21111112-1-120-1-1000011000000000
χ362222-1222-1-1222-1-2-2-1-1-1-1-2-2-122-11111-2-2-2-21111211-2-2-1-1-1-1-2-21111000220110022-1-1-1-1112-1-1-20110000-1-1000000000
χ372-22-2222-2-2-2-22-222-22-2-2200-22-2200002-22-222-2-202-22-200-220000000002-202-2000000002-2000000000002-2000000000
χ382-22-2222-2-2-2-22-222-22-2-2200-22-220000-22-22-2-22202-22-200-22000000000-220-22000000002-200000000000-22000000000
χ392-22-2222-2-2-2-22-22-222-2-2200-22-2200002-22-222-2-20-22-2200-22000000000-2202-200000000-2200000000000-22000000000
χ402-22-2222-2-2-2-22-22-222-2-2200-22-220000-22-22-2-2220-22-2200-220000000002-20-2200000000-22000000000002-2000000000
χ412-22-222-22-2-2-22-22002-2-22002-22-200002-2-22-2-22200000002-20000002-200002-2000000000000000002-20000002-200000
χ422-22-222-22-2-2-22-22002-2-22002-22-200002-2-22-2-22200000002-2000000-2200002-200000000000000000-22000000-2200000
χ432-22-222-22-2-2-22-22002-2-22002-22-20000-222-222-2-200000002-20000002-20000-22000000000000000002-2000000-2200000
χ442-22-222-22-2-2-22-22002-2-22002-22-20000-222-222-2-200000002-2000000-220000-2200000000000000000-220000002-200000
χ452-22-2-122-211-22-2-12-2-111-10012-2-1−i3−i3i3i32-22-2-1-1110-112-2−i3i31-100−i3−i3i3i30002-20-110000−i3−i3i3i3-110−i3i300−i3i30000-11000000000
χ462-22-2-122-211-22-2-12-2-111-10012-2-1−i3−i3i3i3-22-2211-1-10-112-2−i3i31-100−i3−i3i3i3000-2201-10000i3i3−i3−i3-110−i3i300i3−i300001-1000000000
χ472-22-2-122-211-22-2-12-2-111-10012-2-1i3i3−i3−i32-22-2-1-1110-112-2i3−i31-100i3i3−i3−i30002-20-110000i3i3−i3−i3-110i3−i300i3−i30000-11000000000
χ482-22-2-122-211-22-2-12-2-111-10012-2-1i3i3−i3−i3-22-2211-1-10-112-2i3−i31-100i3i3−i3−i3000-2201-10000−i3−i3i3i3-110i3−i300−i3i300001-1000000000
χ492-22-2-122-211-22-2-1-22-111-10012-2-1−i3−i3i3i32-22-2-1-11101-1-22i3−i31-100−i3−i3i3i3000-220-110000−i3−i3i3i31-10i3−i300i3−i300001-1000000000
χ502-22-2-122-211-22-2-1-22-111-10012-2-1−i3−i3i3i3-22-2211-1-101-1-22i3−i31-100−i3−i3i3i30002-201-10000i3i3−i3−i31-10i3−i300−i3i30000-11000000000
χ512-22-2-122-211-22-2-1-22-111-10012-2-1i3i3−i3−i32-22-2-1-11101-1-22−i3i31-100i3i3−i3−i3000-220-110000i3i3−i3−i31-10−i3i300−i3i300001-1000000000
χ522-22-2-122-211-22-2-1-22-111-10012-2-1i3i3−i3−i3-22-2211-1-101-1-22−i3i31-100i3i3−i3−i30002-201-10000−i3−i3i3i31-10−i3i300i3−i30000-11000000000
χ5344444-2-4-444-2-2-2400-2-2-2-200-422-400000000000000000002200000000400-400-2-2000000000000000000200000000000
χ5444444-2-4-444-2-2-2400-2-2-2-200-422-400000000000000000002200000000-40040022000000000000000000-200000000000
χ554444-24-4-4-2-2444-200-2-2-2-2002-4-42000044-4-42222000000022000000000000-2-200000000000000000000000000000000
χ564444-24-4-4-2-2444-200-2-2-2-2002-4-420000-4-444-2-2-2-20000000220000000000002200000000000000000000000000000000
χ574444-2-244-2-2-2-2-2-244111144-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-211-2-21111000000000000000011-2110000000000000000000
χ584444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-2222200000000-4-2-2-2-2221122-1-1-1-10000000000000000112-1-10000000000000000000
χ594444-2-244-2-2-2-2-2-2-4-4111144-2-2-2-2-2-2-2-200000000-422222211-2-211110000000000000000-1-12-1-10000000000000000000
χ604444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-222220000000042222-2-21122-1-1-1-10000000000000000-1-1-2110000000000000000000
χ6144-4-444004-44-4-4-40044-4-4−2i22i20000−2i22i2−2i22i200000000000000000−2i22i2−2i22i2−2i22i20000000000000000000000000000000000000000
χ6244-4-444004-44-4-4-40044-4-42i2−2i200002i2−2i22i2−2i2000000000000000002i2−2i22i2−2i22i2−2i20000000000000000000000000000000000000000
χ6344-4-44-2004-4-222-400-2-222−2i22i20000−2i22i2−2i22i200000000000000000i2−i2i2−i2i2−i200000000−2i32i30000000000000000000006−60000000
χ6444-4-44-2004-4-222-400-2-222−2i22i20000−2i22i2−2i22i200000000000000000i2−i2i2−i2i2−i2000000002i3−2i3000000000000000000000−660000000
χ6544-4-44-2004-4-222-400-2-2222i2−2i200002i2−2i22i2−2i200000000000000000−i2i2−i2i2−i2i200000000−2i32i3000000000000000000000−660000000
χ6644-4-44-2004-4-222-400-2-2222i2−2i200002i2−2i22i2−2i200000000000000000−i2i2−i2i2−i2i2000000002i3−2i30000000000000000000006−60000000
χ6744-4-4-2400-224-4-4200-2-222−2i22i20000i2−i2i2−i2000023−2323−23000000000−2i22i2i2−i2i2−i2000000000000i6−i6i6−i6000000000000000000000000
χ6844-4-4-2400-224-4-4200-2-222−2i22i20000i2−i2i2−i20000−2323−2323000000000−2i22i2i2−i2i2−i2000000000000−i6i6−i6i6000000000000000000000000
χ6944-4-4-2400-224-4-4200-2-2222i2−2i20000−i2i2−i2i2000023−2323−230000000002i2−2i2−i2i2−i2i2000000000000−i6i6−i6i6000000000000000000000000
χ7044-4-4-2400-224-4-4200-2-2222i2−2i20000−i2i2−i2i20000−2323−23230000000002i2−2i2−i2i2−i2i2000000000000i6−i6i6−i6000000000000000000000000
χ714-44-44-24-4-4-42-2244-4-222-200-4-22400000000000004-4-22002-20000000000000000000000-220000000000000000000000
χ724-44-44-24-4-4-42-224-44-222-200-4-2240000000000000-442-2002-200000000000000000000002-20000000000000000000000
χ734-44-44-2-44-4-42-22400-222-20042-2-40000000000000000000-220000004-400000000000000000000000-220000000000000
χ744-44-44-2-44-4-42-22400-222-20042-2-40000000000000000000-22000000-44000000000000000000000002-20000000000000
χ754-44-4-24-4422-44-4-200-222-200-2-44200004-4-4422-2-20000000-22000000000000-2200000000000000000000000000000000
χ764-44-4-24-4422-44-4-200-222-200-2-4420000-444-4-2-2220000000-220000000000002-200000000000000000000000000000000
χ774-44-4-2-24-4222-22-24-41-1-11002-22-2−2i3−2i32i32i3000000000-22-22−2i32i3-1100i3i3−i3−i300000000000000001-10i3−i30000000000000000000
χ784-44-4-2-24-4222-22-24-41-1-11002-22-22i32i3−2i3−2i3000000000-22-222i3−2i3-1100−i3−i3i3i300000000000000001-10−i3i30000000000000000000
χ794-44-4-2-24-4222-22-2-441-1-11002-22-2−2i3−2i32i32i30000000002-22-22i3−2i3-1100i3i3−i3−i30000000000000000-110−i3i30000000000000000000
χ804-44-4-2-24-4222-22-2-441-1-11002-22-22i32i3−2i3−2i30000000002-22-2−2i32i3-1100−i3−i3i3i30000000000000000-110i3−i30000000000000000000
χ814-4-444400-44-4-44-4004-44-4000000000000000000000000000000000000000000022−2222−22−2222000000000000000000000000
χ824-4-444400-44-4-44-4004-44-40000000000000000000000000000000000000000000−2222−222222−22000000000000000000000000
χ834-4-44-24002-2-4-44200-22-220000006−6−66000023−23−2323000000000006−6−66000000000022−22−222−2000000000000000000000000
χ844-4-44-24002-2-4-44200-22-220000006−6−660000−232323−23000000000006−6−660000000000−22222−2−22000000000000000000000000
χ854-4-44-24002-2-4-44200-22-22000000−666−6000023−23−232300000000000−666−60000000000−22222−2−22000000000000000000000000
χ864-4-44-24002-2-4-44200-22-22000000−666−60000−232323−2300000000000−666−6000000000022−22−222−2000000000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-40022220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-8-4-400-44-44440022-2-2−4i24i200002i2−2i22i2−2i2000000000000000002i2−2i2−i2i2−i2i20000000000000000000000000000000000000000
χ8988-8-8-4-400-44-44440022-2-24i2−4i20000−2i22i2−2i22i200000000000000000−2i22i2i2−i2i2−i20000000000000000000000000000000000000000
χ908-88-8-4-4-88444-44-4002-2-2200-44-4400000000000000000002-20000000000000000000000000000000000000000000000
χ918-8-888-400-8844-4-800-44-440000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-4004-444-44002-22-200000026−26−26260000000000000000000−666−60000000000000000000000000000000000000000
χ938-8-88-4-4004-444-44002-22-2000000−262626−2600000000000000000006−6−660000000000000000000000000000000000000000

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