Finite Group Databasebeta

← Group #11824492

Character table — Group #11824492

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order122222223366666666666666223446666666121212124444466666666121212121212121212121212121222444444441212121212121212444444661212121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-11-111-1-1-1-111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-11111-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111111111111-1-11111111-1-1-1-11111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111-1
χ6111111111111111111111111111-1-11111111-1-1-1-11111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-11111-1-11
χ7111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11-1-1-111-1-11111-1-111-1-11
χ8111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-11111-1-111-1-111-1
χ9111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1
χ10111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1111
χ11111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1111
χ12111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1
χ13111111111111111111111111-1-11-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-11
χ14111111111111111111111111-1-11-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1111111-1-11111-1
χ15111111111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-1111111-1
χ16111111111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-111111111-1-111-1-111-1-111-1-1-1-1-1-11
χ17222222222-1222-1-1-12-122-1-1-1222-122-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12200220000-1-1-1-1-1-1-1-1000020-1-10000-1-1000000000
χ18222222222-1222-1-1-12-122-1-1-1222-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-200-2-20000111111110000-2011000011000000000
χ19222222222-1222-1-1-12-122-1-1-1222-1-2-2-1-1-1-1-1-1-111112222-222-1-1-1-1-1-1-2-211-2-2111111112200-2-20000-1-1-1-111110000-20-1-1000011000000000
χ20222222222-1222-1-1-12-122-1-1-1222-1-2-2-1-1-1-1-1-1-11111-2-2-2-2-222-1-1-1-1-1-1-2-211-2-211111111-2-2002200001111-1-1-1-1000020110000-1-1000000000
χ21222222222-1222-1-1-12-122-1-1-12-2-2-122-1-1-1-1-1-1-1-1-1-1-12222-2-2-21111112211-2-2-1-1-1-11111-2-200220000-1-1-1-1-1-1-1-10000-2011000011000000000
χ22222222222-1222-1-1-12-122-1-1-12-2-2-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-21111112211-2-2-1-1-1-111112200-2-2000011111111000020-1-10000-1-1000000000
χ23222222222-1222-1-1-12-122-1-1-12-2-2-1-2-2-1-1-1-1-1-1-1111122222-2-2111111-2-2-1-1221111-1-1-1-1-2-200-2-20000-1-1-1-11111000020110000-1-1000000000
χ24222222222-1222-1-1-12-122-1-1-12-2-2-1-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-2111111-2-2-1-1221111-1-1-1-122002200001111-1-1-1-10000-20-1-1000011000000000
χ2522222222-12-1-1-1222-12-1-1222-122-122-1-1-1-1-1-1-1222200002-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-100220022220000000000000200-1-1-1-100-1-1-1-100000
χ2622222222-12-1-1-1222-12-1-1222-122-122-1-1-1-1-1-1-1222200002-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-100-2-200-2-2-2-20000000000000-200111100111100000
χ2722222222-12-1-1-1222-12-1-1222-122-1-2-2-1-1-1-1-1-1-1-2-2-2-20000-2-1-122-1-1-1-111-2-21111111111002200-2-2220000000000000-200-1-11100-1-11100000
χ2822222222-12-1-1-1222-12-1-1222-122-1-2-2-1-1-1-1-1-1-1-2-2-2-20000-2-1-122-1-1-1-111-2-2111111111100-2-20022-2-2000000000000020011-1-10011-1-100000
χ2922222222-12-1-1-1222-12-1-1222-1-2-2-122-1-1-1-1-1-1-122220000-211-2-21111-1-1-2-211-1-1-1-1111100220022-2-20000000000000-200-1-1-1-100111100000
χ3022222222-12-1-1-1222-12-1-1222-1-2-2-122-1-1-1-1-1-1-122220000-211-2-21111-1-1-2-211-1-1-1-1111100-2-200-2-2220000000000000200111100-1-1-1-100000
χ3122222222-12-1-1-1222-12-1-1222-1-2-2-1-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-211111122-1-11111-1-1-1-1002200-2-2-2-20000000000000200-1-1110011-1-100000
χ3222222222-12-1-1-1222-12-1-1222-1-2-2-1-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-211111122-1-11111-1-1-1-100-2-20022220000000000000-20011-1-100-1-11100000
χ332222-2-2-2-22222222-2-2-2-2-22-2-2-22-2200222-2-2-2-2000022-2-202-22-222-2-2000000000000002-20000000022-2-200000000002-2000000000000000
χ342222-2-2-2-22222222-2-2-2-2-22-2-2-22-2200222-2-2-2-20000-2-22202-22-222-2-200000000000000-2200000000-2-2220000000000-22000000000000000
χ352222-2-2-2-22222222-2-2-2-2-22-2-2-2-22200222-2-2-2-2000022-2-20-22-22-2-22200000000000000-220000000022-2-20000000000-22000000000000000
χ362222-2-2-2-22222222-2-2-2-2-22-2-2-2-22200222-2-2-2-20000-2-2220-22-22-2-222000000000000002-200000000-2-22200000000002-2000000000000000
χ372222-2-2-2-22-1222-1-11-21-2-2-111-22-2-100-1-1-1111133−3−322-2-202-2-11-1-111003−30033−3−333−3−32-200000000-1-11133−3−3000000-1100003−3000000000
χ382222-2-2-2-22-1222-1-11-21-2-2-111-22-2-100-1-1-1111133−3−3-2-22202-2-11-1-111003−30033−3−333−3−3-220000000011-1-1−3−3330000001-10000−33000000000
χ392222-2-2-2-22-1222-1-11-21-2-2-111-22-2-100-1-1-11111−3−33322-2-202-2-11-1-11100−3300−3−333−3−3332-200000000-1-111−3−333000000-110000−33000000000
χ402222-2-2-2-22-1222-1-11-21-2-2-111-22-2-100-1-1-11111−3−333-2-22202-2-11-1-11100−3300−3−333−3−333-220000000011-1-133−3−30000001-100003−3000000000
χ412222-2-2-2-22-1222-1-11-21-2-2-111-2-22-100-1-1-1111133−3−322-2-20-221-111-1-100−330033−3−3−3−333-2200000000-1-11133−3−30000001-10000−33000000000
χ422222-2-2-2-22-1222-1-11-21-2-2-111-2-22-100-1-1-1111133−3−3-2-2220-221-111-1-100−330033−3−3−3−3332-20000000011-1-1−3−333000000-1100003−3000000000
χ432222-2-2-2-22-1222-1-11-21-2-2-111-2-22-100-1-1-11111−3−33322-2-20-221-111-1-1003−300−3−33333−3−3-2200000000-1-111−3−3330000001-100003−3000000000
χ442222-2-2-2-22-1222-1-11-21-2-2-111-2-22-100-1-1-11111−3−333-2-2220-221-111-1-1003−300−3−33333−3−32-20000000011-1-133−3−3000000-110000−33000000000
χ4522-2-2-22-22222-2-22-2-2-2-22-2-2222002002-2-22-22-2000000000000000000000000000000000002-22-20000002-22-222-2-20000002-200000000000
χ4622-2-2-22-22222-2-22-2-2-2-22-2-2222002002-2-22-22-2000000000000000000000000000000000002-2-220000002-22-2-2-222000000-2200000000000
χ4722-2-2-22-22222-2-22-2-2-2-22-2-2222002002-2-22-22-200000000000000000000000000000000000-222-2000000-22-22-2-2220000002-200000000000
χ4822-2-2-22-22222-2-22-2-2-2-22-2-2222002002-2-22-22-200000000000000000000000000000000000-22-22000000-22-2222-2-2000000-2200000000000
χ492-22-2-2-22222-22-2-22-222-2-2-2-2220022-2-22-2-2-2222-22-200000000000002-200002-22-200000000000000000000002-22-2000000000000002-2000
χ502-22-2-2-22222-22-2-22-222-2-2-2-2220022-2-22-2-2-2222-22-200000000000002-200002-22-20000000000000000000000-22-2200000000000000-22000
χ512-22-2-2-22222-22-2-22-222-2-2-2-222002-22-22-2-2-222-22-220000000000000-220000-22-2200000000000000000000002-22-200000000000000-22000
χ522-22-2-2-22222-22-2-22-222-2-2-2-222002-22-22-2-2-222-22-220000000000000-220000-22-220000000000000000000000-22-22000000000000002-2000
χ532-2-222-2-2222-2-22-2-22-2-2-222-22200200-2-22-222-200002-22-200000000000000000000000002-20000002-22-200002-2-2200002-20000000000000
χ542-2-222-2-2222-2-22-2-22-2-2-222-22200200-2-22-222-200002-22-20000000000000000000000000-220000002-22-20000-222-20000-220000000000000
χ552-2-222-2-2222-2-22-2-22-2-2-222-22200200-2-22-222-20000-22-2200000000000000000000000002-2000000-22-220000-222-200002-20000000000000
χ562-2-222-2-2222-2-22-2-22-2-2-222-22200200-2-22-222-20000-22-220000000000000000000000000-22000000-22-2200002-2-220000-220000000000000
χ572-2-22-222-222-2-22-2-2-2222-222-2-200200-2-222-2-2200002-2-2200000000000000000000000000000002i−2i2-2-220000000000000000002i−2i00002i−2i0
χ582-2-22-222-222-2-22-2-2-2222-222-2-200200-2-222-2-2200002-2-220000000000000000000000000000000−2i2i2-2-22000000000000000000−2i2i0000−2i2i0
χ592-2-22-222-222-2-22-2-2-2222-222-2-200200-2-222-2-220000-222-200000000000000000000000000000002i−2i-222-20000000000000000002i−2i0000−2i2i0
χ602-2-22-222-222-2-22-2-2-2222-222-2-200200-2-222-2-220000-222-20000000000000000000000000000000−2i2i-222-2000000000000000000−2i2i00002i−2i0
χ6144444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2441441111111-2-2-2-200004-2-2-2-21111-2-2-2-2-2-21111111100000000000000000000000000000000000000000
χ6244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2441-4-4111111122220000-4-2-2-2-21111222222-1-1-1-1-1-1-1-100000000000000000000000000000000000000000
χ6344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-41441111111-2-2-2-20000-42222-1-1-1-1-2-222221111-1-1-1-100000000000000000000000000000000000000000
χ6444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-41-4-411111112222000042222-1-1-1-122-2-2-2-2-1-1-1-1111100000000000000000000000000000000000000000
χ654444-4-4-4-4-24-2-2-244-42-4224-4-424-4-200-2-2-22222000000000-224-4-2-2220000000000000000000000000000000000000000000000000000000
χ664444-4-4-4-4-24-2-2-244-42-4224-4-42-44-200-2-2-222220000000002-2-4422-2-20000000000000000000000000000000000000000000000000000000
χ674444-4-4-4-4-2-2-2-2-2-2-222222-22224-4100111-1-1-1-12323−23−2300000-22-2211-1-10023−2300−3−333−3−33300000000000000000000000000000000000000000
χ684444-4-4-4-4-2-2-2-2-2-2-222222-22224-4100111-1-1-1-1−23−23232300000-22-2211-1-100−23230033−3−333−3−300000000000000000000000000000000000000000
χ694444-4-4-4-4-2-2-2-2-2-2-222222-2222-44100111-1-1-1-12323−23−23000002-22-2-1-11100−232300−3−33333−3−300000000000000000000000000000000000000000
χ704444-4-4-4-4-2-2-2-2-2-2-222222-2222-44100111-1-1-1-1−23−232323000002-22-2-1-1110023−230033−3−3−3−33300000000000000000000000000000000000000000
χ7144-4-44-44-4444-4-44-4444-44-4-4-4-4004004-4-4-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ7244-4-44-44-44-24-4-4-22-24-2-44222-400-200-2222-22-200000000000000000000000000000000000000000000023−23−232300000000000000000000000
χ7344-4-44-44-44-24-4-4-22-24-2-44222-400-200-2222-22-2000000000000000000000000000000000000000000000−232323−2300000000000000000000000
χ7444-4-44-44-4-24-2224-44-242-2-4-4-4200-200-2222-22-20000000000000000000000000000000000000000000000000000000000000000023−2300000
χ7544-4-44-44-4-24-2224-44-242-2-4-4-4200-200-2222-22-200000000000000000000000000000000000000000000000000000000000000000−232300000
χ7644-4-4-44-444-24-4-4-222-424-42-2-2400-200-222-22-22000000000000000000000000000000000004-400000000-22-2200000000000000000000000
χ7744-4-4-44-444-24-4-4-222-424-42-2-2400-200-222-22-2200000000000000000000000000000000000-44000000002-22-200000000000000000000000
χ7844-4-4-44-44-24-2224-4-42-4-22-444-200-200-222-22-2200000000000000000000000000000000000004-400000000000000000000-2200000000000
χ7944-4-4-44-44-24-2224-4-42-4-22-444-200-200-222-22-220000000000000000000000000000000000000-44000000000000000000002-200000000000
χ804-44-444-4-444-44-4-444-4-444-44-4-400400-44-444-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ814-44-444-4-44-2-44-42-2-2-42442-22-400-2002-22-2-22223−23−2323000000000000000000023−23−2323000000000000000000000000000000000000000000000
χ824-44-444-4-44-2-44-42-2-2-42442-22-400-2002-22-2-222−232323−230000000000000000000−232323−23000000000000000000000000000000000000000000000
χ834-44-444-4-4-242-22-4442-4-2-2-44-4200-2002-22-2-22200000000000000000000023−23000023−2323−2300000000000000000000000000000000000000000
χ844-44-444-4-4-242-22-4442-4-2-2-44-4200-2002-22-2-222000000000000000000000−23230000−2323−232300000000000000000000000000000000000000000
χ854-44-444-4-4-2-22-222-2-222-2-22-22200100-11-111-1-123−23−23230000000003-33-3000023−23−333−3−33−3300000000000000000000000000000000000000000
χ864-44-444-4-4-2-22-222-2-222-2-22-22200100-11-111-1-123−23−2323000000000-33-330000−2323−333−33−33−300000000000000000000000000000000000000000
χ874-44-444-4-4-2-22-222-2-222-2-22-22200100-11-111-1-1−232323−230000000003-33-30000−23233−3−333−33−300000000000000000000000000000000000000000
χ884-44-444-4-4-2-22-222-2-222-2-22-22200100-11-111-1-1−232323−23000000000-33-33000023−233−3−33−33−3300000000000000000000000000000000000000000
χ894-44-4-4-4444-2-44-42-224-2-4-422-2400-24-42-2222-2-2-22-2200000000000004-40000-22-22000000000000000000000000000000000000000000000
χ904-44-4-4-4444-2-44-42-224-2-4-422-2400-2-442-2222-2-22-22-20000000000000-4400002-22-2000000000000000000000000000000000000000000000
χ914-44-4-4-444-242-22-44-4-2422-4-44-200-24-42-2222-2-24-44-40000000000000-220000-22-22000000000000000000000000000000000000000000000
χ924-44-4-4-444-242-22-44-4-2422-4-44-200-2-442-2222-2-2-44-4400000000000002-200002-22-2000000000000000000000000000000000000000000000
χ934-44-4-4-444-2-22-222-22-2-22222-2-20014-4-11-1-1-111-22-220000000003-3-33-2200001-11-1-333-300000000000000000000000000000000000000000
χ944-44-4-4-444-2-22-222-22-2-22222-2-20014-4-11-1-1-111-22-22000000000-333-3-2200001-11-13-3-3300000000000000000000000000000000000000000
χ954-44-4-4-444-2-22-222-22-2-22222-2-2001-44-11-1-1-1112-22-20000000003-3-332-20000-11-113-3-3300000000000000000000000000000000000000000
χ964-44-4-4-444-2-22-222-22-2-22222-2-2001-44-11-1-1-1112-22-2000000000-333-32-20000-11-11-333-300000000000000000000000000000000000000000
χ974-4-444-4-444-2-4-4422-2-42-44-22-2400-20022-22-2-2200004-44-4000000000000000000000000000000000-22-22000000000000000000000000000
χ984-4-444-4-444-2-4-4422-2-42-44-22-2400-20022-22-2-220000-44-440000000000000000000000000000000002-22-2000000000000000000000000000
χ994-4-444-4-44-2422-2-4-442-42-24-44-200-20022-22-2-220000000000000000000000000000000004-40000000000000000000000-220000000000000
χ1004-4-444-4-44-2422-2-4-442-42-24-44-200-20022-22-2-22000000000000000000000000000000000-4400000000000000000000002-20000000000000
χ1014-4-44-444-44-2-4-442224-24-4-2-22-400-20022-2-222-200004-4-44000000000000000000000000000000000-222-2000000000000000000000000000
χ1024-4-44-444-44-2-4-442224-24-4-2-22-400-20022-2-222-20000-444-40000000000000000000000000000000002-2-22000000000000000000000000000
χ1034-4-44-444-4-2422-2-4-4-4-24-2244-4200-20022-2-222-20000000000000000000000000000000000000004i−4i0000000000000000000000−2i2i0000000
χ1044-4-44-444-4-2422-2-4-4-4-24-2244-4200-20022-2-222-2000000000000000000000000000000000000000−4i4i00000000000000000000002i−2i0000000
χ10588-8-88-88-8-4-4-444-44-4-4-44-44444002002-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-88-88-4-4-444-44444-444-4-4-4002002-2-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-888-8-88-4-444-444-4444-4-44-4-400200-2-22-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-888-8-4-444-4444-4-4-44-4-44400200-2-222-2-22000000000000000000000000000000000000000000000000000000000000000000000000

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