Finite Group Databasebeta

← Group #11864205

Character table — Group #11864205

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222222224444444444444444466666688888888888888888888888121212121212121212121212122424242424242424242424243636363648487272
order122222334466666612121212346666666121212121212121222444466881212122424242424242424242424242424242424444666612121212448812121212242424242222121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1
χ91111-1-1111111111111111-1-1-1-1-1111-1-11111111111-1-1-1-11-1-1-1-111-1-1111111-1-1-1-1-1-1-111-1-111-1-111-1-11-11-111-1-111-1-111-1-11-11-1
χ101111-1-1111111111111111-1-1-1-1-1111-1-11111111111-1-1-1-11-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-11111-1-111-1-1-111-1-1-11111-1-1-1-111-11-11
χ111111-1-1111111111111111-1-1-1-1-1111-1-11111111111-1-1-1-1-11-1-1-1-1-111-1-1-1-1-1-1111111-111-1-111-1-111-1-1-11-1111-1-1-1-11111-1-1-11-11
χ121111-1-1111111111111111-1-1-1-1-1111-1-11111111111-1-1-1-1-11-1-1-1-1-111-1-1-1-1-1-1111111-1-1-11111-1-111-1-11-1-11-1-111-1-111-1-1111-11-1
χ131111-1-1111111111111111-1-1-1-1-1111-1-1111111-1-1-1-111-1-11-1-1-1-111-1-1111111-1-1-1-1-1-1111-1-1-1-111-1-1111-1-1111-1-1-1-111-1-1111-1-11
χ141111-1-1111111111111111-1-1-1-1-1111-1-1111111-1-1-1-111-1-11-1-1-1-111-1-1111111-1-1-1-1-1-11-1-111-1-111-1-111-11-11-1-111-1-11111-1-1-111-1
χ151111-1-1111111111111111-1-1-1-1-1111-1-1111111-1-1-1-111-1-1-11-1-1-1-1-111-1-1-1-1-1-1111111111-1-1-1-111-1-111-111-111-1-111-1-1-1-111-111-1
χ161111-1-1111111111111111-1-1-1-1-1111-1-1111111-1-1-1-111-1-1-11-1-1-1-1-111-1-1-1-1-1-11111111-1-111-1-111-1-1111-11-1-1-11111-1-111-1-11-1-11
χ1722222222-2-2222222-2-2-2-22-22222222-2-2-2-2-2-2-2-222-2-2-2-22200-2-2-20000000000000000200002222-2-2-2-200000000000000000000
χ1822222222-2-2222222-2-2-2-22-22222222-2-2-2-2-2-2-2-2-2-222222200-2-2-20000000000000000-20000-2-2-2-2222200000000000000000000
χ192222222-1222-1-12-12-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-1222222-1-1222-1-1-1-1-1-122-1-1-1-122-1-1-1-120000-1-1-1-1-1-1-1-100220000-1-1-1-100000000
χ202222222-1222-1-12-12-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-1222222-1-1-2-22-1-11111-2-21111-2-2111120000-1-1-1-1-1-1-1-100-2-20000111100000000
χ212222222-1222-1-12-12-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2-2-2-1-1222-1-1-1-1-1-122-1-1-1-122-1-1-1-1-200001111111100-2-20000111100000000
χ222222222-1222-1-12-12-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2-2-2-1-1-2-22-1-11111-2-21111-2-21111-200001111111100220000-1-1-1-100000000
χ232222222-1-2-22-1-12-121111-1-222-1-1-1-1-111-2-2111122-2-2-2-2-1-100-2113−33−30033−3−30033−3−320000-1-1-1-11111000000003−33−300000000
χ242222222-1-2-22-1-12-121111-1-222-1-1-1-1-111-2-2111122-2-2-2-2-1-100-211−33−3300−3−33300−3−33320000-1-1-1-1111100000000−33−3300000000
χ252222222-1-2-22-1-12-121111-1-222-1-1-1-1-111-2-21111-2-22222-1-100-2113−33−30033−3−30033−3−3-200001111-1-1-1-100000000−33−3300000000
χ262222222-1-2-22-1-12-121111-1-222-1-1-1-1-111-2-21111-2-22222-1-100-211−33−3300−3−33300−3−333-200001111-1-1-1-1000000003−33−300000000
χ27222222-1222-122-12-12222-12-1-122-1-1-122-1-1-1-1-1-1000000-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-102222000000002200-1-1-1-100000000-1-100
χ28222222-1222-122-12-12222-12-1-122-1-1-122-1-1-1-1-1-1000000-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10-2-2-2-200000000-2-2001111000000001100
χ29222222-1222-122-12-12222-12-1-122-1-1-122-1-1-1-1-1-1000000-1-1-2-2-1-1-1-2-2-2-21111111111110222200000000-2-200-1-1-1-1000000001100
χ30222222-1222-122-12-12222-12-1-122-1-1-122-1-1-1-1-1-1000000-1-1-2-2-1-1-1-2-2-2-21111111111110-2-2-2-2000000002200111100000000-1-100
χ312222-2-222-2-2222222-2-2-2-222-2-2-2-222222-2-2-2-2-2-222-2-222-2-2002220000000000000000-2000022-2-2-2-22200000000000000000000
χ322222-2-222-2-2222222-2-2-2-222-2-2-2-222222-2-2-2-2-2-2-2-222-2-2-2-200222000000000000000020000-2-22222-2-200000000000000000000
χ332222-2-22-1222-1-12-12-1-1-1-1-1-2-2-211-1-1-11122-1-1-1-12222-2-2112-2-211-1-11122-1-1-1-1-2-21111-20000-1-111-1-111002-20000-1-11100000000
χ342222-2-22-1222-1-12-12-1-1-1-1-1-2-2-211-1-1-11122-1-1-1-12222-2-211-22-21111-1-1-2-2111122-1-1-1-1-20000-1-111-1-11100-22000011-1-100000000
χ352222-2-22-1222-1-12-12-1-1-1-1-1-2-2-211-1-1-11122-1-1-1-1-2-2-2-222112-2-211-1-11122-1-1-1-1-2-211112000011-1-111-1-100-22000011-1-100000000
χ362222-2-22-1222-1-12-12-1-1-1-1-1-2-2-211-1-1-11122-1-1-1-1-2-2-2-22211-22-21111-1-1-2-2111122-1-1-1-12000011-1-111-1-1002-20000-1-11100000000
χ372222-2-22-1-2-22-1-12-121111-12-2-211-1-1-1-1-1-2-2111122-2-22211002-1-13−3−330033−3−300−3−333-20000-1-11111-1-1000000003−3−3300000000
χ382222-2-22-1-2-22-1-12-121111-12-2-211-1-1-1-1-1-2-2111122-2-22211002-1-1−333−300−3−3330033−3−3-20000-1-11111-1-100000000−333−300000000
χ392222-2-22-1-2-22-1-12-121111-12-2-211-1-1-1-1-1-2-21111-2-222-2-211002-1-13−3−330033−3−300−3−3332000011-1-1-1-11100000000−333−300000000
χ402222-2-22-1-2-22-1-12-121111-12-2-211-1-1-1-1-1-2-21111-2-222-2-211002-1-1−333−300−3−3330033−3−32000011-1-1-1-111000000003−3−3300000000
χ412222-2-2-1222-122-12-12222-1-211-2-2-1-1-1-2-2-1-1-1-1-1-1000000112-211122-2-2-1-1-1-1-1-1111111022-2-2000000002-200-1-11100000000-1100
χ422222-2-2-1222-122-12-12222-1-211-2-2-1-1-1-2-2-1-1-1-1-1-1000000112-211122-2-2-1-1-1-1-1-11111110-2-22200000000-220011-1-1000000001-100
χ432222-2-2-1222-122-12-12222-1-211-2-2-1-1-1-2-2-1-1-1-1-1-100000011-22111-2-222111111-1-1-1-1-1-1022-2-200000000-2200-1-111000000001-100
χ442222-2-2-1222-122-12-12222-1-211-2-2-1-1-1-2-2-1-1-1-1-1-100000011-22111-2-222111111-1-1-1-1-1-10-2-222000000002-20011-1-100000000-1100
χ452-2-2200222-2-2-2-2-22222-2-2200000-2-22002-222-2-22-22-200000000000000000000000000002-22-2002-2000000002-20000002-20000
χ462-2-2200222-2-2-2-2-22222-2-2200000-2-22002-222-2-22-22-20000000000000000000000000000-222-2002-200000000-22000000-220000
χ472-2-2200222-2-2-2-2-22222-2-2200000-2-22002-222-2-2-22-2200000000000000000000000000002-2-2200-22000000002-2000000-220000
χ482-2-2200222-2-2-2-2-22222-2-2200000-2-22002-222-2-2-22-220000000000000000000000000000-22-2200-2200000000-220000002-20000
χ492-2-220022-22-2-2-2-222-2-222200000-2-2200-22-2-2222-2-22000000000000000000000000002-2002-200-220000002-20000002-2000000
χ502-2-220022-22-2-2-2-222-2-222200000-2-2200-22-2-2222-2-2200000000000000000000000000-22002-200-22000000-22000000-22000000
χ512-2-220022-22-2-2-2-222-2-222200000-2-2200-22-2-222-222-2000000000000000000000000002-200-22002-20000002-2000000-22000000
χ522-2-220022-22-2-2-2-222-2-222200000-2-2200-22-2-222-222-200000000000000000000000000-2200-22002-2000000-220000002-2000000
χ53444444-24-4-4-244-24-2-4-4-4-4-2-4-2-244-2-2-2-4-4222222000000-2-2002220000000000000000000000000000000000000000000000000
χ54444444-2-244-2-2-2-2-2-2-2-2-2-214-2-2-2-2111-2-2-2-211110000001144-211-2-2-2-2-2-21111-2-21111000000000000000000000000000000000
χ55444444-2-244-2-2-2-2-2-2-2-2-2-214-2-2-2-2111-2-2-2-2111100000011-4-4-211222222-1-1-1-122-1-1-1-1000000000000000000000000000000000
χ56444444-2-2-4-4-2-2-2-2-2-222221-4-2-2-2-21112222-1-1-1-100000011002-1-123−2323−2300−3−33300−3−333000000000000000000000000000000000
χ57444444-2-2-4-4-2-2-2-2-2-222221-4-2-2-2-21112222-1-1-1-100000011002-1-1−2323−23230033−3−30033−3−3000000000000000000000000000000000
χ584444-4-4-24-4-4-244-24-2-4-4-4-4-2422-4-4-2-2-2442222220000002200-2-2-20000000000000000000000000000000000000000000000000
χ594444-4-4-2-244-2-2-2-2-2-2-2-2-2-21-4222211122-2-21111000000-1-14-42-1-1-2-222-2-2111122-1-1-1-1000000000000000000000000000000000
χ604444-4-4-2-244-2-2-2-2-2-2-2-2-2-21-4222211122-2-21111000000-1-1-442-1-122-2-222-1-1-1-1-2-21111000000000000000000000000000000000
χ614444-4-4-2-2-4-4-2-2-2-2-2-22222142222111-2-222-1-1-1-1000000-1-100-21123−23−232300−3−3330033−3−3000000000000000000000000000000000
χ624444-4-4-2-2-4-4-2-2-2-2-2-22222142222111-2-222-1-1-1-1000000-1-100-211−232323−230033−3−300−3−333000000000000000000000000000000000
χ6344-4-44-4440044-4-4-4-40000404-44-44-4-4000000000000004-4000000000000000000000000000000000000000000000000000000
χ6444-4-44-44-2004-22-42-423−2323−23-204-4-22-22223−230023−2323−23000000-2200023−230000000000000000000000000000000000000000000000000
χ6544-4-44-44-2004-22-42-4−2323−2323-204-4-22-222−232300−2323−2323000000-22000−23230000000000000000000000000000000000000000000000000
χ6644-4-44-4-2400-24-42-420000-20-224-4-22200000000000000-22000000000i6−i6i6−i6i6−i6i6−i6i6−i6i6−i6000000000000000000000000000000000
χ6744-4-44-4-2400-24-42-420000-20-224-4-22200000000000000-22000000000−i6i6−i6i6−i6i6−i6i6−i6i6−i6i6000000000000000000000000000000000
χ6844-4-44-4-2-200-2-2222223−2323−2310-22-221-1-123−2300−33−330000001-1000−330000i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23000000000000000000000000000000000
χ6944-4-44-4-2-200-2-2222223−2323−2310-22-221-1-123−2300−33−330000001-1000−330000−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23000000000000000000000000000000000
χ7044-4-44-4-2-200-2-22222−2323−232310-22-221-1-1−2323003−33−30000001-10003−30000i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23000000000000000000000000000000000
χ7144-4-44-4-2-200-2-22222−2323−232310-22-221-1-1−2323003−33−30000001-10003−30000−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23000000000000000000000000000000000
χ7244-4-4-44440044-4-4-4-4000040-44-444-4-400000000000000-44000000000000000000000000000000000000000000000000000000
χ7344-4-4-444-2004-22-42-423−2323−23-20-442-2-222−23230023−2323−230000002-2000−23230000000000000000000000000000000000000000000000000
χ7444-4-4-444-2004-22-42-4−2323−2323-20-442-2-22223−2300−2323−23230000002-200023−230000000000000000000000000000000000000000000000000
χ7544-4-4-44-2400-24-42-420000-202-2-44-222000000000000002-2000000000i6−i6i6−i6i6−i6−i6i6−i6i6−i6i6000000000000000000000000000000000
χ7644-4-4-44-2400-24-42-420000-202-2-44-222000000000000002-2000000000−i6i6−i6i6−i6i6i6−i6i6−i6i6−i6000000000000000000000000000000000
χ7744-4-4-44-2-200-2-2222223−2323−23102-22-21-1-1−232300−33−33000000-110003−30000i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23000000000000000000000000000000000
χ7844-4-4-44-2-200-2-2222223−2323−23102-22-21-1-1−232300−33−33000000-110003−30000−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23000000000000000000000000000000000
χ7944-4-4-44-2-200-2-22222−2323−2323102-22-21-1-123−23003−33−3000000-11000−330000i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23000000000000000000000000000000000
χ8044-4-4-44-2-200-2-22222−2323−2323102-22-21-1-123−23003−33−3000000-11000−330000−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23000000000000000000000000000000000
χ814-44-4004400-4-444-4-40000400000-44-40000000000004i−4i00000000000000000000000000000000004i−4i00000000000000000000
χ824-44-4004400-4-444-4-40000400000-44-4000000000000−4i4i0000000000000000000000000000000000−4i4i00000000000000000000
χ834-44-4004-200-42-242-423−23−2323-2000002-22000023−23−232300004i−4i000000000000000000000000000000−2i32i300−2i2i00000000000000000000
χ844-44-4004-200-42-242-423−23−2323-2000002-22000023−23−23230000−4i4i0000000000000000000000000000002i3−2i3002i−2i00000000000000000000
χ854-44-4004-200-42-242-4−232323−23-2000002-220000−232323−2300004i−4i0000000000000000000000000000002i3−2i300−2i2i00000000000000000000
χ864-44-4004-200-42-242-4−232323−23-2000002-220000−232323−230000−4i4i000000000000000000000000000000−2i32i3002i−2i00000000000000000000
χ874-4-44004-24-4-422-4-24-2-222-20000022-2004-4-2-2224-44-4000000000000000000000000000000-2200-220000000000000000000000
χ884-4-44004-24-4-422-4-24-2-222-20000022-2004-4-2-222-44-440000000000000000000000000000002-2002-20000000000000000000000
χ894-4-44004-2-44-422-4-2422-2-2-20000022-200-4422-2-24-4-44000000000000000000000000000000-22002-20000000000000000000000
χ904-4-44004-2-44-422-4-2422-2-2-20000022-200-4422-2-2-444-40000000000000000000000000000002-200-220000000000000000000000
χ914-4-4400-244-42-4-424-244-4-4-20000022-200-22-2-222000000000000000000000000000000004-400000000000000-22000000000000
χ924-4-4400-244-42-4-424-244-4-4-20000022-200-22-2-22200000000000000000000000000000000-44000000000000002-2000000000000
χ934-4-4400-24-442-4-424-2-4-444-20000022-2002-222-2-20000000000000000000000000000004-400000000000000-2200000000000000
χ944-4-4400-24-442-4-424-2-4-444-20000022-2002-222-2-2000000000000000000000000000000-44000000000000002-200000000000000
χ958-88-800-48004-88-4-840000-4000004-440000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-800-4-40044-4-44443−43−4343200000-22-20000−232323−2300000000000000000000000000000000000000000000000000000000000000
χ978-88-800-4-40044-4-444−434343−43200000-22-2000023−23−232300000000000000000000000000000000000000000000000000000000000000
χ988-8-8800-4-48-84444-4-4-4-444200000-2-2200-4422-2-200000000000000000000000000000000000000000000000000000000000000
χ998-8-8800-4-4-884444-4-444-4-4200000-2-22004-4-2-22200000000000000000000000000000000000000000000000000000000000000

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