Finite Group Databasebeta

← Group #11864383

Character table — Group #11864383

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order1222334466666622366688121212122424242422441212121246666121212122424242424242224446666882424242466121212446681212121212242422241248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-111-111-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-11-1-111-1-1-1-1-1-111111-11111-1-1-1-1111-1-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-111-1-1-1111-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-111-1-1-1-11-1-11-1-111-111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111-1-11-1-11111111111-1-1-11-111-111-1-11-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1111-1-1-11111111-1-1
χ911111111111111-1-11111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-111-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-111-1
χ1011111111111111-1-11111111111111111111111-1-1-1-1-1-1-111111111-1-11-1-111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-111-1-11
χ1111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1111-11
χ1211111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-11111111111-1-1-11-1
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
χ1411111111111111-1-11111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-111111-1-1-111-1-11-1-1-1-11111-1
χ1511111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-111-1-1-1-1-1111111-1-1111-1-1111-1-111-111-1-111-11-1
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
χ17222222-2-222222200222200-2-2-2-2000022-2-2-2-2-2-20000000-2-200000000200-2222200000000000000000000-20000-22000
χ18222222-2-222222200222200-2-2-2-2000022-2-2-2-2-2-20000000-2-200000000-200222-2-200000000000000000000200002-2000
χ19222222-2-222222200222200-2-2-2-20000-2-22222220000000-2-200000000200-2-2-22200000000000000000000-200002-2000
χ20222222-2-222222200222200-2-2-2-20000-2-22222220000000-2-200000000-2002-2-2-2-20000000000000000000020000-22000
χ2122222-122-12-122-122-1-1-1-1222-1-12222200000000222-1-122-1-1-1-1-1-1-1-122200200-1-1000000-1-1-1-1-102-1-120000-1-1-10000-100
χ2222222-122-12-122-122-1-1-1-1222-1-12222200000000222-1-122-1-1-1-1-1-1-1-1-2-2-200-20011000000-1-1-1-1-10-211-200001110000100
χ2322222-122-12-122-122-1-1-1-1-2-22-1-12-2-2-2-200000000-222-1-1-2-2-1-111111122200200-1-1000000-1-11110-2-1-1-20000-1110000100
χ2422222-122-12-122-122-1-1-1-1-2-22-1-12-2-2-2-200000000-222-1-1-2-2-1-1111111-2-2-200-20011000000-1-11110211200001-1-10000-100
χ2522222-122-12-122-1-2-2-1-1-1-1222-1-12222200000000-2-2-211-2-2-1-1-1-1-1-1-1-122-200-200110000001111102-1-1-200001110000-100
χ2622222-122-12-122-1-2-2-1-1-1-1222-1-12222200000000-2-2-211-2-2-1-1-1-1-1-1-1-1-2-2200200-1-1000000111110-21120000-1-1-10000100
χ2722222-122-12-122-1-2-2-1-1-1-1-2-22-1-12-2-2-2-2000000002-2-21122-1-111111122-200-2001100000011-1-1-10-2-1-1200001-1-10000100
χ2822222-122-12-122-1-2-2-1-1-1-1-2-22-1-12-2-2-2-2000000002-2-21122-1-1111111-2-2200200-1-100000011-1-1-10211-20000-1110000-100
χ292222-12222-12-1-1222-1-1-1-122-122-1-1-1-1-12222-1-1-1-12-1-122-1-1-1-122-1-1-1-1000220-1-10022-1-1-1-1-1-12-1-120000-1-1-1-10000000000
χ302222-12222-12-1-1222-1-1-1-122-122-1-1-1-1-1-2-2-2-211112-1-122-1-1-1-122-1-1-1-1000-2-201100-2-21111-1-12-1-1-2000011110000000000
χ312222-12222-12-1-1222-1-1-1-1-2-2-122-111112222-1-1-1-1-2-1-12211-1-1-2-21111000220-1-100-2-21111-1-1-211-2000011-1-10000000000
χ322222-12222-12-1-1222-1-1-1-1-2-2-122-11111-2-2-2-21111-2-1-12211-1-1-2-21111000-2-20110022-1-1-1-1-1-1-21120000-1-1110000000000
χ332222-12222-12-1-12-2-2-1-1-1-122-122-1-1-1-1-12222-1-1-1-1-211-2-211-1-122-1-1-1-1000-2-20-1-10022-1-1-1-111-211-2000011110000000000
χ342222-12222-12-1-12-2-2-1-1-1-122-122-1-1-1-1-1-2-2-2-21111-211-2-211-1-122-1-1-1-10002201100-2-2111111-21120000-1-1-1-10000000000
χ352222-12222-12-1-12-2-2-1-1-1-1-2-2-122-111112222-1-1-1-1211-2-2-1-1-1-1-2-21111000-2-20-1-100-2-21111112-1-120000-1-1110000000000
χ362222-12222-12-1-12-2-2-1-1-1-1-2-2-122-11111-2-2-2-21111211-2-2-1-1-1-1-2-21111000220110022-1-1-1-1112-1-1-2000011-1-10000000000
χ372-2-22222-2-2-2-2-222002-22-200-22-2200002-22-222-2-20000000-220000002-200002-20000000000000002-2000000002-200000
χ382-2-22222-2-2-2-2-222002-22-200-22-2200002-22-222-2-20000000-22000000-2200002-2000000000000000-2200000000-2200000
χ392-2-22222-2-2-2-2-222002-22-200-22-220000-22-22-2-2220000000-220000002-20000-220000000000000002-200000000-2200000
χ402-2-22222-2-2-2-2-222002-22-200-22-220000-22-22-2-2220000000-22000000-220000-22000000000000000-22000000002-200000
χ412-2-2222-22-2-2-2-2222-22-22-2002-22-200002-2-22-2-22202-22-2002-20000000002-202-2000000002-200000000002-20000000000
χ422-2-2222-22-2-2-2-2222-22-22-2002-22-20000-222-222-2-202-22-2002-2000000000-220-22000000002-20000000000-220000000000
χ432-2-2222-22-2-2-2-222-222-22-2002-22-200002-2-22-2-2220-22-22002-2000000000-2202-200000000-220000000000-220000000000
χ442-2-2222-22-2-2-2-222-222-22-2002-22-20000-222-222-2-20-22-22002-20000000002-20-2200000000-2200000000002-20000000000
χ452-2-22-12-22-21-21-122-2-11-1100-1-22133−3−32-2-2211-1-10-112-23−3-110033−3−30002-20-11000033−3−3-1103−3000003−3-110000000000
χ462-2-22-12-22-21-21-122-2-11-1100-1-22133−3−3-222-2-1-1110-112-23−3-110033−3−3000-2201-10000−3−333-1103−300000−331-10000000000
χ472-2-22-12-22-21-21-122-2-11-1100-1-221−3−3332-2-2211-1-10-112-2−33-1100−3−3330002-20-110000−3−333-110−3300000−33-110000000000
χ482-2-22-12-22-21-21-122-2-11-1100-1-221−3−333-222-2-1-1110-112-2−33-1100−3−333000-2201-1000033−3−3-110−33000003−31-10000000000
χ492-2-22-12-22-21-21-12-22-11-1100-1-22133−3−32-2-2211-1-101-1-22−33-110033−3−3000-220-11000033−3−31-10−3300000−331-10000000000
χ502-2-22-12-22-21-21-12-22-11-1100-1-22133−3−3-222-2-1-11101-1-22−33-110033−3−30002-201-10000−3−3331-10−33000003−3-110000000000
χ512-2-22-12-22-21-21-12-22-11-1100-1-221−3−3332-2-2211-1-101-1-223−3-1100−3−333000-220-110000−3−3331-103−3000003−31-10000000000
χ522-2-22-12-22-21-21-12-22-11-1100-1-221−3−333-222-2-1-11101-1-223−3-1100−3−3330002-201-1000033−3−31-103−300000−33-110000000000
χ5344444-2-4-4-24-244-200-2-2-2-200-422-400000000000000000002200000000400-400-2-2000000000000000000002000000000
χ5444444-2-4-4-24-244-200-2-2-2-200-422-400000000000000000002200000000-4004002200000000000000000000-2000000000
χ554444-24-4-44-24-2-2400-2-2-2-2002-4-42000044-4-42222000000022000000000000-2-200000000000000000000000000000000
χ564444-24-4-44-24-2-2400-2-2-2-2002-4-420000-4-444-2-2-2-20000000220000000000002200000000000000000000000000000000
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
χ6144-4-44400-444-4-4-4004-4-440000000000000000000000000000000000000000000−2i22i2−2i22i2−2i22i2000000000000000000000000
χ6244-4-44400-444-4-4-4004-4-4400000000000000000000000000000000000000000002i2−2i22i2−2i22i2−2i2000000000000000000000000
χ6344-4-4-2400-4-2422-400-222-2000000i6−i6i6−i6000023−2323−2300000000000i6−i6i6−i60000000000−2i22i2i2−i2i2−i2000000000000000000000000
χ6444-4-4-2400-4-2422-400-222-2000000i6−i6i6−i60000−2323−232300000000000i6−i6i6−i600000000002i2−2i2−i2i2−i2i2000000000000000000000000
χ6544-4-4-2400-4-2422-400-222-2000000−i6i6−i6i6000023−2323−2300000000000−i6i6−i6i600000000002i2−2i2−i2i2−i2i2000000000000000000000000
χ6644-4-4-2400-4-2422-400-222-2000000−i6i6−i6i60000−2323−232300000000000−i6i6−i6i60000000000−2i22i2i2−i2i2−i2000000000000000000000000
χ674-44-444004-4-44-4-40044-4-4−2i22i20000−2i22i22i2−2i200000000000000000−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000000
χ684-44-444004-4-44-4-40044-4-42i2−2i200002i2−2i2−2i22i2000000000000000002i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000000
χ694-44-44-200-2-424-4200-2-222−2i22i20000−2i22i22i2−2i200000000000000000i2−i2i2−i2−i2i200000000−2i32i30000000000000000000006−60000000
χ704-44-44-200-2-424-4200-2-222−2i22i20000−2i22i22i2−2i200000000000000000i2−i2i2−i2−i2i2000000002i3−2i3000000000000000000000−660000000
χ714-44-44-200-2-424-4200-2-2222i2−2i200002i2−2i2−2i22i200000000000000000−i2i2−i2i2i2−i200000000−2i32i3000000000000000000000−660000000
χ724-44-44-200-2-424-4200-2-2222i2−2i200002i2−2i2−2i22i200000000000000000−i2i2−i2i2i2−i2000000002i3−2i30000000000000000000006−60000000
χ734-44-4-240042-4-22-400-2-222−2i22i20000i2−i2−i2i2000023−23−2323000000000−2i22i2i2−i2−i2i2000000000000i6−i6−i6i6000000000000000000000000
χ744-44-4-240042-4-22-400-2-222−2i22i20000i2−i2−i2i20000−232323−23000000000−2i22i2i2−i2−i2i2000000000000−i6i6i6−i6000000000000000000000000
χ754-44-4-240042-4-22-400-2-2222i2−2i20000−i2i2i2−i2000023−23−23230000000002i2−2i2−i2i2i2−i2000000000000−i6i6i6−i6000000000000000000000000
χ764-44-4-240042-4-22-400-2-2222i2−2i20000−i2i2i2−i20000−232323−230000000002i2−2i2−i2i2i2−i2000000000000i6−i6−i6i6000000000000000000000000
χ774-4-444-24-42-42-44-200-22-2200-4-22400000000000000000002-20000004-4000000000000000000000-22000000000000000
χ784-4-444-24-42-42-44-200-22-2200-4-22400000000000000000002-2000000-440000000000000000000002-2000000000000000
χ794-4-444-2-442-42-44-24-4-22-220042-2-400000000000004-4-2200-220000000000000000000000-220000000000000000000000
χ804-4-444-2-442-42-44-2-44-22-220042-2-40000000000000-442-200-2200000000000000000000002-20000000000000000000000
χ814-4-44-244-4-42-42-2400-22-220024-4-200004-44-4-2-22200000002-2000000000000-2200000000000000000000000000000000
χ824-4-44-244-4-42-42-2400-22-220024-4-20000-44-4422-2-200000002-20000000000002-200000000000000000000000000000000
χ834-4-44-2-2-442222-2-24-41-11-100-22-222323−23−23000000000-22-2223−231-100−3−33300000000000000001-10−330000000000000000000
χ844-4-44-2-2-442222-2-24-41-11-100-22-22−23−232323000000000-22-22−23231-10033−3−300000000000000001-103−30000000000000000000
χ854-4-44-2-2-442222-2-2-441-11-100-22-222323−23−230000000002-22-2−23231-100−3−3330000000000000000-1103−30000000000000000000
χ864-4-44-2-2-442222-2-2-441-11-100-22-22−23−2323230000000002-22-223−231-10033−3−30000000000000000-110−330000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-40022220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-88-40048-4-8-8400-444-40000000000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-4004-4-4444002-2-220000002i6−2i62i6−2i60000000000000000000−i6i6−i6i60000000000000000000000000000000000000000
χ9088-8-8-4-4004-4-4444002-2-22000000−2i62i6−2i62i60000000000000000000i6−i6i6−i60000000000000000000000000000000000000000
χ918-88-8-4-400-444-4440022-2-2−4i24i200002i2−2i2−2i22i2000000000000000002i2−2i2−i2i2i2−i20000000000000000000000000000000000000000
χ928-88-8-4-400-444-4440022-2-24i2−4i20000−2i22i22i2−2i200000000000000000−2i22i2i2−i2−i2i20000000000000000000000000000000000000000
χ938-8-88-4-48-84444-4-4002-22-2004-44-40000000000000000000-220000000000000000000000000000000000000000000000

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