Finite Group Databasebeta

← Group #11884111

Character table — Group #11884111

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222444444444444444444444444488888888888888888881212121212121212121212121212121212122424242424242424242424242424243636727272
order122222334466666612121212234444666666612121212121212121212121266666612121212121212121212121212226666888824242424242424242446688121212122424242444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ511111111111111111111-11-1-11-1111111111-1-111-1-11111-1-111-1-1-1-1-1-11-1-1-1-111-1-11111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-11-1
χ611111111111111111111-11-1-11-1111111111-1-111-1-11111-1-111-1-1-1-1-1-11-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-11111-1-11-11
χ711111111111111111111-11-1-11-1111111111-1-111-1-11111-1-111-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1111111111111-111-1-1-1-11111-1-1-1-1-1-11-11
χ811111111111111111111-11-1-11-1111111111-1-111-1-11111-1-111-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-11-1
χ91111-1-11111111111111111-1-1-11-1-1-1-1111-1-1-1-11111111111-1-111-1-1-11-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11-1-11-1-1-11111-1-1-1-111-1
χ101111-1-11111111111111111-1-1-11-1-1-1-1111-1-1-1-11111111111-1-111-1-1-11-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-11-1-1-11-1-111-1-11111-1-11
χ111111-1-11111111111111111-1-1-11-1-1-1-1111-1-1-1-11111111111-1-111-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-1111-111-1-111-1-111-1-11
χ121111-1-11111111111111111-1-1-11-1-1-1-1111-1-1-1-11111111111-1-111-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-111-1111-1-1-1-111-1-111-1
χ131111-1-111111111111111-1111-1-1-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-1111-1-11111-1-1-1-111111111-1-11111-1-1-1-1-11-1-1-1-1111-1-1-1-111-1-1-111
χ141111-1-111111111111111-1111-1-1-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-1111-1-11111-1-1-1-1111111-1-111-1-1-1-11111-11-1-1-11-111-1-111-1-1111-1-1
χ151111-1-111111111111111-1111-1-1-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1111-11-1-111-1-111111-1-1
χ161111-1-111111111111111-1111-1-1-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-11111-1-1-11111-1-1-1-1-111
χ1722222222-2-2222222-2-2-2-2222-2-2-22222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-222-2-2-2-2-2-200000000000000000000000000000000000000
χ1822222222-2-2222222-2-2-2-2-22-22-222222222-2-222-2-222-2-2-2-2-2-222-2-2-2-222-2-2-222-2-22200000000000000000000000000000000000000
χ192222222-12222-12-1-122222-1222222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12-1-1-1-1-12-122-1-1-1-1-1-1-1-1-122-1-1-1-1000000000000222-1-100-1-1-1-1000000000
χ202222222-12222-12-1-122222-1222222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-2-21111000000000000-2-2-211001111000000000
χ212222222-12222-12-1-12222-2-1-2-22-222-1-1-1-1-12211-1-111-1-1-1-1-21-1-111-21-2-2-11111-1-11122-1-1-1-10000000000002-2-2-1-1001111000000000
χ222222222-12222-12-1-12222-2-1-2-22-222-1-1-1-1-12211-1-111-1-1-1-1-21-1-111-21-2-2-11111-1-111-2-21111000000000000-2221100-1-1-1-1000000000
χ232222222-1-2-222-12-1-1-2-2-2-22-12-2-2-222-1-1-1-1-1-2-211111111112-1-1-1-1-12-1-2-21-1-111111100−i3−i3i3i3000000000000000−i3i300−i3i3−i3i3000000000
χ242222222-1-2-222-12-1-1-2-2-2-22-12-2-2-222-1-1-1-1-1-2-211111111112-1-1-1-1-12-1-2-21-1-111111100i3i3−i3−i3000000000000000i3−i300i3−i3i3−i3000000000
χ252222222-1-2-222-12-1-1-2-2-2-2-2-1-22-2222-1-1-1-1-1-2-2-1-111-1-11111-21-1-111-2122111-1-111-1-100−i3−i3i3i3000000000000000−i3i300i3−i3i3−i3000000000
χ262222222-1-2-222-12-1-1-2-2-2-2-2-1-22-2222-1-1-1-1-1-2-2-1-111-1-11111-21-1-111-2122111-1-111-1-100i3i3−i3−i3000000000000000i3−i300−i3i3−i3i3000000000
χ27222222-1222-1-12-122-1-1-1-12-12222-1-122-1-1-1-1-1222222-1-1-1-1-12-1-1-1-1-12-1-12-1-1-1-1-1-1-1-10000002222-1-1-1-1-1-1-1-100000220000-1-1-1-100000
χ28222222-1222-1-12-122-1-1-1-12-12222-1-122-1-1-1-1-1222222-1-1-1-1-12-1-1-1-1-12-1-12-1-1-1-1-1-1-1-1000000-2-2-2-21111111100000-2-20000111100000
χ29222222-1222-1-12-122-1-1-1-1-2-1-2-22-2-1-122-1-1-1-1-1-2-222-2-2-1-1-1-11-2-1-1111-21121111-1-1110000002222-1-1-1-1-1-1-1-100000-2-20000111100000
χ30222222-1222-1-12-122-1-1-1-1-2-1-2-22-2-1-122-1-1-1-1-1-2-222-2-2-1-1-1-11-2-1-1111-21121111-1-111000000-2-2-2-21111111100000220000-1-1-1-100000
χ31222222-12-2-2-1-12-12211112-12-2-2-2-1-122-1-1-111-2-2-2-2-2-21111-12-1-1-1-1-1211-2-1-1111111000000000033−3−333−3−3000000000003−33−300000
χ32222222-12-2-2-1-12-12211112-12-2-2-2-1-122-1-1-111-2-2-2-2-2-21111-12-1-1-1-1-1211-2-1-11111110000000000−3−333−3−33300000000000−33−3300000
χ33222222-12-2-2-1-12-1221111-2-1-22-22-1-122-1-1-11122-2-22211111-2-1-1111-2-1-1-211-1-111-1-1000000000033−3−333−3−300000000000−33−3300000
χ34222222-12-2-2-1-12-1221111-2-1-22-22-1-122-1-1-11122-2-22211111-2-1-1111-2-1-1-211-1-111-1-10000000000−3−333−3−333000000000003−33−300000
χ352222-2-222-2-2222222-2-2-2-222-222-2-2-2-2-22222222-2-2-2-2-2-2-2-222-2-222-2-22-22-2-22222-2-200000000000000000000000000000000000000
χ362222-2-222-2-2222222-2-2-2-2-222-222-2-2-2-222222-2-2-2-222-2-2-2-2-2-2-2-2-2-222-22222-2-2222200000000000000000000000000000000000000
χ372222-2-22-12222-12-1-122222-1-2-2-22-2-211-1-1-1-2-211-1-1-1-1-1-1-1-12-111-1-1-21-221111111-1-122-1-1-1-1000000000000-2-22110011-1-1000000000
χ382222-2-22-12222-12-1-122222-1-2-2-22-2-211-1-1-1-2-211-1-1-1-1-1-1-1-12-111-1-1-21-221111111-1-1-2-2111100000000000022-2-1-100-1-111000000000
χ392222-2-22-12222-12-1-12222-2-122-2-2-2-211-1-1-1-2-2-1-1-1-111-1-1-1-1-2111112-12-21-1-1-1-1111122-1-1-1-1000000000000-22-21100-1-111000000000
χ402222-2-22-12222-12-1-12222-2-122-2-2-2-211-1-1-1-2-2-1-1-1-111-1-1-1-1-2111112-12-21-1-1-1-11111-2-211110000000000002-22-1-10011-1-1000000000
χ412222-2-22-1-2-222-12-1-1-2-2-2-22-1-222-2-2-211-1-1-122-1-1111111112-111-1-1-212-2-111-1-1-1-11100−i3−i3i3i3000000000000000i3−i300i3−i3−i3i3000000000
χ422222-2-22-1-2-222-12-1-1-2-2-2-22-1-222-2-2-211-1-1-122-1-1111111112-111-1-1-212-2-111-1-1-1-11100i3i3−i3−i3000000000000000−i3i300−i3i3i3−i3000000000
χ432222-2-22-1-2-222-12-1-1-2-2-2-2-2-12-222-2-211-1-1-1221111-1-11111-2111112-1-22-1-1-111-1-1-1-100−i3−i3i3i3000000000000000i3−i300−i3i3i3−i3000000000
χ442222-2-22-1-2-222-12-1-1-2-2-2-2-2-12-222-2-211-1-1-1221111-1-11111-2111112-1-22-1-1-111-1-1-1-100i3i3−i3−i3000000000000000−i3i300i3−i3−i3i3000000000
χ452222-2-2-1222-1-12-122-1-1-1-12-1-2-2-2211-2-2-1-1-111-2-22222-1-1-1-1-1211-1-11-21-1-2111111-1-100000022-2-2-1-1-1-11111000002-20000-1-11100000
χ462222-2-2-1222-1-12-122-1-1-1-12-1-2-2-2211-2-2-1-1-111-2-22222-1-1-1-1-1211-1-11-21-1-2111111-1-1000000-2-2221111-1-1-1-100000-22000011-1-100000
χ472222-2-2-1222-1-12-122-1-1-1-1-2-122-2-211-2-2-1-1-1112222-2-2-1-1-1-11-21111-12-11-2-1-1-1-1111100000022-2-2-1-1-1-1111100000-22000011-1-100000
χ482222-2-2-1222-1-12-122-1-1-1-1-2-122-2-211-2-2-1-1-1112222-2-2-1-1-1-11-21111-12-11-2-1-1-1-11111000000-2-2221111-1-1-1-1000002-20000-1-11100000
χ492222-2-2-12-2-2-1-12-12211112-1-222-211-2-2-1-1-1-1-122-2-2-2-21111-1211-1-11-2-11211-1-1-1-111000000000033−3−3−3−333000000000003−3−3300000
χ502222-2-2-12-2-2-1-12-12211112-1-222-211-2-2-1-1-1-1-122-2-2-2-21111-1211-1-11-2-11211-1-1-1-1110000000000−3−33333−3−300000000000−333−300000
χ512222-2-2-12-2-2-1-12-1221111-2-12-22211-2-2-1-1-1-1-1-2-2-2-22211111-21111-121-12-1-111-1-1-1-1000000000033−3−3−3−33300000000000−333−300000
χ522222-2-2-12-2-2-1-12-1221111-2-12-22211-2-2-1-1-1-1-1-2-2-2-22211111-21111-121-12-1-111-1-1-1-10000000000−3−33333−3−3000000000003−3−3300000
χ532-2-220022-22-2-2-22-22-2-2220200000000-2-2200002-20022-2-200000000000000000002-22-22-2002-200002-22-20000000000000002-2000
χ542-2-220022-22-2-2-22-22-2-2220200000000-2-2200002-20022-2-200000000000000000002-22-22-200-220000-22-22000000000000000-22000
χ552-2-220022-22-2-2-22-22-2-2220200000000-2-2200002-20022-2-20000000000000000000-22-22-22002-200002-22-2000000000000000-22000
χ562-2-220022-22-2-2-22-22-2-2220200000000-2-2200002-20022-2-20000000000000000000-22-22-2200-220000-22-220000000000000002-2000
χ57444444-2-244-2-2-2-2-2-2-2-2-2-2414444-2-2-2-2111-2-2-2-2-2-2-2-21111-2-21111-2-2-2-2-21111111100000000000000000000000000000000000000
χ58444444-2-244-2-2-2-2-2-2-2-2-2-2-41-4-44-4-2-2-2-2111-2-222-2-22211112211-1-12222-2-1-1-1-111-1-100000000000000000000000000000000000000
χ59444444-2-2-4-4-2-2-2-2-2-22222414-4-4-4-2-2-2-211122222222-1-1-1-1-2-21111-2-222211-1-1-1-1-1-100000000000000000000000000000000000000
χ60444444-2-2-4-4-2-2-2-2-2-22222-41-44-44-2-2-2-211122-2-222-2-2-1-1-1-12211-1-122-2-22-1-111-1-11100000000000000000000000000000000000000
χ614444-4-4-2-244-2-2-2-2-2-2-2-2-2-241-4-4-4422221112222-2-2-2-21111-2-2-1-111222-22-1-1-1-1-1-11100000000000000000000000000000000000000
χ624444-4-4-2-244-2-2-2-2-2-2-2-2-2-2-4144-4-4222211122-2-2-2-222111122-1-1-1-1-2-2-2221111-1-1-1-100000000000000000000000000000000000000
χ634444-4-4-2-2-4-4-2-2-2-2-2-2222241-444-42222111-2-2-2-22222-1-1-1-1-2-2-1-11122-22-2-1-11111-1-100000000000000000000000000000000000000
χ644444-4-4-2-2-4-4-2-2-2-2-2-22222-414-4442222111-2-22222-2-2-1-1-1-122-1-1-1-1-2-22-2-211-1-1111100000000000000000000000000000000000000
χ6544-4-44-444004-44-4-4-400000400004-44-44-4-4000000000000004-400000000000000000000000000000000000000000000000000000
χ6644-4-44-44-2004-4-2-42200000-200004-4-22-2220023−230023−23000000-2200000000023−230023−2300000000000000000000000000000000000000
χ6744-4-44-44-2004-4-2-42200000-200004-4-22-22200−232300−2323000000-22000000000−232300−232300000000000000000000000000000000000000
χ6844-4-44-4-2400-2242-4-423−2323−230-20000-224-4-22223−2300000023−2323−2300-220000000000023−230000000000000000000000000000000000000000
χ6944-4-44-4-2400-2242-4-4−2323−23230-20000-224-4-222−2323000000−2323−232300-2200000000000−23230000000000000000000000000000000000000000
χ7044-4-44-4-2-200-22-222223−2323−23010000-22-221-1-123−2323−230023−23−33−33001-13-3000003-3−33−33−3300000000000000000000000000000000000000
χ7144-4-44-4-2-200-22-222223−2323−23010000-22-221-1-123−23−232300−2323−33−33001-1-3300000-333−3−333−300000000000000000000000000000000000000
χ7244-4-44-4-2-200-22-2222−2323−2323010000-22-221-1-1−232323−230023−233−33−3001-1-3300000-33−333−3−3300000000000000000000000000000000000000
χ7344-4-44-4-2-200-22-2222−2323−2323010000-22-221-1-1−2323−232300−23233−33−3001-13-3000003-33−33−33−300000000000000000000000000000000000000
χ7444-4-4-4444004-44-4-4-40000040000-44-444-4-400000000000000-4400000000000000000000000000000000000000000000000000000
χ7544-4-4-444-2004-4-2-42200000-20000-442-2-2220023−2300−23230000002-200000000023−2300−232300000000000000000000000000000000000000
χ7644-4-4-444-2004-4-2-42200000-20000-442-2-22200−23230023−230000002-2000000000−23230023−2300000000000000000000000000000000000000
χ7744-4-4-44-2400-2242-4-423−2323−230-200002-2-44-222−232300000023−2323−23002-200000000000−23230000000000000000000000000000000000000000
χ7844-4-4-44-2400-2242-4-4−2323−23230-200002-2-44-22223−23000000−2323−2323002-20000000000023−230000000000000000000000000000000000000000
χ7944-4-4-44-2-200-22-222223−2323−230100002-22-21-1-1−232323−2300−2323−33−3300-11-33000003-3−333−33−300000000000000000000000000000000000000
χ8044-4-4-44-2-200-22-222223−2323−230100002-22-21-1-1−2323−23230023−23−33−3300-113-300000-333−33−3−3300000000000000000000000000000000000000
χ8144-4-4-44-2-200-22-2222−2323−23230100002-22-21-1-123−2323−2300−23233−33−300-113-300000-33−33−333−300000000000000000000000000000000000000
χ8244-4-4-44-2-200-22-2222−2323−23230100002-22-21-1-123−23−23230023−233−33−300-11-33000003-33−3−33−3300000000000000000000000000000000000000
χ834-44-4004400-44-4-44-400000400000000-44-40000000000000000000000000000000000000−2i22i200−2i22i2−2i22i2000000000000000000000000
χ844-44-4004400-44-4-44-400000400000000-44-400000000000000000000000000000000000002i2−2i2002i2−2i22i2−2i2000000000000000000000000
χ854-44-400-24002-2-424-423−23−23230-2000000002-2200000000−232323−230000000000000000000000000−2i22i2002ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23000000000000000000000000
χ864-44-400-24002-2-424-423−23−23230-2000000002-2200000000−232323−2300000000000000000000000002i2−2i200−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23000000000000000000000000
χ874-44-400-24002-2-424-4−232323−230-2000000002-220000000023−23−23230000000000000000000000000−2i22i2002ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7000000000000000000000000
χ884-44-400-24002-2-424-4−232323−230-2000000002-220000000023−23−232300000000000000000000000002i2−2i200−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7000000000000000000000000
χ894-4-4400444-4-4-4-44-4444-4-40400000000-4-440000-4400-4-444000000000000000000000000000000000000000000000000000000000
χ904-4-44004-24-4-4-4242-244-4-40-20000000022-200002-20022-2-2000000000000000000000−2i32i32i3−2i300000000000000000000000000000000
χ914-4-44004-24-4-4-4242-244-4-40-20000000022-200002-20022-2-20000000000000000000002i3−2i3−2i32i300000000000000000000000000000000
χ924-4-44004-2-44-4-4242-2-4-4440-20000000022-20000-2200-2-22200000000000000000004-4-22-2200000000000000000000000000000000
χ934-4-44004-2-44-4-4242-2-4-4440-20000000022-20000-2200-2-2220000000000000000000-442-22-200000000000000000000000000000000
χ944-4-4400-244-422-4-2-44-2-2220-20000000022-20000-440022-2-200000000000000000000000000000000023−23−232300000000000000000000
χ954-4-4400-244-422-4-2-44-2-2220-20000000022-20000-440022-2-2000000000000000000000000000000000−232323−2300000000000000000000
χ964-4-4400-24-4422-4-2-4422-2-20-20000000022-200004-400-2-2220000000000000000000000000004-40000-22-2200000000000000000000
χ974-4-4400-24-4422-4-2-4422-2-20-20000000022-200004-400-2-222000000000000000000000000000-4400002-22-200000000000000000000
χ988-88-8008-400-884-8-4400000-4000000004-44000000000000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-4004-444-4443−43−43430200000000-22-20000000023−23−2323000000000000000000000000000000000000000000000000000000000
χ1008-88-800-4-4004-444-44−434343−430200000000-22-200000000−232323−23000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-48-8444-44-4-4-4440200000000-2-2200004-400-2-222000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-4-88444-44-444-4-40200000000-2-220000-440022-2-2000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.