Finite Group Databasebeta

← Group #11863948

Character table — Group #11863948

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222222224444444444444444466666688888888888888888888888121212121212121212121212122424242424242424242424243636363648487272
order1222223344666666121212123466666661212121212121212222244668812121224242424242424242424242424242424222246666121212122466668824242424222261244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1
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
χ71111111111111111111111111111111111111-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1
χ91111-1-1111111111111111-1-1-1-1-1111-1-111111111-1-111-1-11-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1-111-1-111-1-11-111-1-11-111-1-111-1-11-1-11
χ101111-1-1111111111111111-1-1-1-1-1111-1-111111111-1-111-1-11-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-111-1-111-1-1-11-1-1111-111-1-1-1-111-111-1
χ111111-1-1111111111111111-1-1-1-1-1111-1-111111111-1-111-1-1-11-1-1-1-1-111-1-1-1-1-1-111111111-1-1-111-1-111-1-1-1111-1-1-11-1-11111-1-1-111-1
χ121111-1-1111111111111111-1-1-1-1-1111-1-111111111-1-111-1-1-11-1-1-1-1-111-1-1-1-1-1-1111111-1-111-111-1-111-1-11-1-1-111-11-1-111-1-1111-1-11
χ131111-1-1111111111111111-1-1-1-1-1111-1-1111111-1-111-1-1-1-11-1-1-1-111-1-1111111-1-1-1-1-1-111-1-11-1-111-1-1111-111-1-1-11-1-111-1-1111-11-1
χ141111-1-1111111111111111-1-1-1-1-1111-1-1111111-1-111-1-1-1-11-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111-1-111-1-111-11-1-111-11-1-11111-1-1-11-11
χ151111-1-1111111111111111-1-1-1-1-1111-1-1111111-1-111-1-1-1-1-11-1-1-1-1-111-1-1-1-1-1-111111111-1-11-1-111-1-111-1111-1-11-111-1-1-1-111-11-11
χ161111-1-1111111111111111-1-1-1-1-1111-1-1111111-1-111-1-1-1-1-11-1-1-1-1-111-1-1-1-1-1-1111111-1-1111-1-111-1-1111-1-1-1111-111-1-111-1-11-11-1
χ1722222222-2-2222222-2-2-2-22-22222222-2-2-2-2-2-2-2-22222-2-22200-2-2-200000000000000000000-22222-2-2-2-200000000000000000000
χ1822222222-2-2222222-2-2-2-22-22222222-2-2-2-2-2-2-2-2-2-2-2-2222200-2-2-2000000000000000000002-2-2-2-2222200000000000000000000
χ192222222-12222-1-1-122222-1222-1-1-1-1-122-1-1-1-1-1-1000000-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200000000022-1-1-1-10000000000-1-100
χ202222222-12222-1-1-122222-1222-1-1-1-1-122-1-1-1-1-1-1000000-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000000-2-2111100000000001100
χ212222222-12222-1-1-122222-1222-1-1-1-1-122-1-1-1-1-1-1000000-1-1-2-2-1-1-1-2-2-2-21111111111112222000000000-2-2-1-1-1-100000000001100
χ222222222-12222-1-1-122222-1222-1-1-1-1-122-1-1-1-1-1-1000000-1-1-2-2-1-1-1-2-2-2-2111111111111-2-2-2-20000000002211110000000000-1-100
χ23222222-1222-1-1222-1-1-1-1-1-12-1-122-1-1-1-1-122-1-1-1-1222222-1-1222-1-1-1-1-1-122-1-1-1-122-1-1-1-100002-1-1-1-1-1-1-1-100000022-1-1-1-100000000
χ24222222-1222-1-1222-1-1-1-1-1-12-1-122-1-1-1-1-122-1-1-1-1222222-1-1-2-22-1-11111-2-21111-2-2111100002-1-1-1-1-1-1-1-1000000-2-2111100000000
χ25222222-1222-1-1222-1-1-1-1-1-12-1-122-1-1-1-1-122-1-1-1-1-2-2-2-2-2-2-1-1222-1-1-1-1-1-122-1-1-1-122-1-1-1-10000-211111111000000-2-2111100000000
χ26222222-1222-1-1222-1-1-1-1-1-12-1-122-1-1-1-1-122-1-1-1-1-2-2-2-2-2-2-1-1-2-22-1-11111-2-21111-2-211110000-21111111100000022-1-1-1-100000000
χ27222222-12-2-2-1-1222-11111-1-2-1-122-1-1-111-2-211112222-2-2-1-100-2113−33−30033−3−30033−3−30000-2-1-1-1-11111000000003−33−300000000
χ28222222-12-2-2-1-1222-11111-1-2-1-122-1-1-111-2-211112222-2-2-1-100-211−33−3300−3−33300−3−3330000-2-1-1-1-1111100000000−33−3300000000
χ29222222-12-2-2-1-1222-11111-1-2-1-122-1-1-111-2-21111-2-2-2-222-1-100-2113−33−30033−3−30033−3−3000021111-1-1-1-100000000−33−3300000000
χ30222222-12-2-2-1-1222-11111-1-2-1-122-1-1-111-2-21111-2-2-2-222-1-100-211−33−3300−3−33300−3−333000021111-1-1-1-1000000003−33−300000000
χ312222-2-222-2-2222222-2-2-2-222-2-2-2-222222-2-2-2-2-2-222-2-2-2-2-2-20022200000000000000000000222-2-2-2-22200000000000000000000
χ322222-2-222-2-2222222-2-2-2-222-2-2-2-222222-2-2-2-2-2-2-2-22222-2-20022200000000000000000000-2-2-22222-2-200000000000000000000
χ332222-2-22-12222-1-1-122222-1-2-2-211-1-1-1-2-2-1-1-1-1-1-1000000112-211122-2-2-1-1-1-1-1-111111122-2-20000000002-2-1-1110000000000-1100
χ342222-2-22-12222-1-1-122222-1-2-2-211-1-1-1-2-2-1-1-1-1-1-1000000112-211122-2-2-1-1-1-1-1-1111111-2-222000000000-2211-1-100000000001-100
χ352222-2-22-12222-1-1-122222-1-2-2-211-1-1-1-2-2-1-1-1-1-1-100000011-22111-2-222111111-1-1-1-1-1-122-2-2000000000-22-1-11100000000001-100
χ362222-2-22-12222-1-1-122222-1-2-2-211-1-1-1-2-2-1-1-1-1-1-100000011-22111-2-222111111-1-1-1-1-1-1-2-2220000000002-211-1-10000000000-1100
χ372222-2-2-1222-1-1222-1-1-1-1-1-1-211-2-2-1-1-11122-1-1-1-122-2-222112-2-211-1-11122-1-1-1-1-2-211110000-2-1-111-1-1110000002-2-1-11100000000
χ382222-2-2-1222-1-1222-1-1-1-1-1-1-211-2-2-1-1-11122-1-1-1-122-2-22211-22-21111-1-1-2-2111122-1-1-1-10000-2-1-111-1-111000000-2211-1-100000000
χ392222-2-2-1222-1-1222-1-1-1-1-1-1-211-2-2-1-1-11122-1-1-1-1-2-222-2-2112-2-211-1-11122-1-1-1-1-2-211110000211-1-111-1-1000000-2211-1-100000000
χ402222-2-2-1222-1-1222-1-1-1-1-1-1-211-2-2-1-1-11122-1-1-1-1-2-222-2-211-22-21111-1-1-2-2111122-1-1-1-10000211-1-111-1-10000002-2-1-11100000000
χ412222-2-2-12-2-2-1-1222-11111-1211-2-2-1-1-1-1-1-2-2111122-2-2-2-211002-1-13−3−330033−3−300−3−33300002-1-11111-1-1000000003−3−3300000000
χ422222-2-2-12-2-2-1-1222-11111-1211-2-2-1-1-1-1-1-2-2111122-2-2-2-211002-1-1−333−300−3−3330033−3−300002-1-11111-1-100000000−333−300000000
χ432222-2-2-12-2-2-1-1222-11111-1211-2-2-1-1-1-1-1-2-21111-2-2222211002-1-13−3−330033−3−300−3−3330000-211-1-1-1-11100000000−333−300000000
χ442222-2-2-12-2-2-1-1222-11111-1211-2-2-1-1-1-1-1-2-21111-2-2222211002-1-1−333−300−3−3330033−3−30000-211-1-1-1-111000000003−3−3300000000
χ452-2-2200222-2-2-2-22-2222-2-2200000-2-22002-222-2-22-2002-2000000000000000000000002-20002-2002-200002-2000000002-2000000
χ462-2-2200222-2-2-2-22-2222-2-2200000-2-22002-222-2-22-2002-200000000000000000000000-220002-2002-20000-2200000000-22000000
χ472-2-2200222-2-2-2-22-2222-2-2200000-2-22002-222-2-2-2200-22000000000000000000000002-2000-2200-2200002-200000000-22000000
χ482-2-2200222-2-2-2-22-2222-2-2200000-2-22002-222-2-2-2200-2200000000000000000000000-22000-2200-220000-22000000002-2000000
χ492-2-220022-22-2-2-22-22-2-222200000-2-2200-22-2-2222-200-2200000000000000000000000002-202-200-220000002-2000000002-20000
χ502-2-220022-22-2-2-22-22-2-222200000-2-2200-22-2-2222-200-220000000000000000000000000-2202-200-22000000-2200000000-220000
χ512-2-220022-22-2-2-22-22-2-222200000-2-2200-22-2-222-22002-200000000000000000000000002-20-22002-20000002-200000000-220000
χ522-2-220022-22-2-2-22-22-2-222200000-2-2200-22-2-222-22002-20000000000000000000000000-220-22002-2000000-22000000002-20000
χ534444444-2-4-444-2-2-24-4-4-4-4-2-444-2-2-2-2-2-4-4222222000000-2-2002220000000000000000000000000000000000000000000000000
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
χ584444-4-44-2-4-444-2-2-24-4-4-4-4-24-4-422-2-2-2442222220000002200-2-2-20000000000000000000000000000000000000000000000000
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
χ6344-4-44-444004-4-4-44-40000404-44-44-4-4000000000000004-4000000000000000000000000000000000000000000000000000000
χ6444-4-44-44-2004-422-2-40000-204-4-22-22200000000000000-22000000000i6−i6i6−i6i6−i6i6−i6i6−i6i6−i6000000000000000000000000000000000
χ6544-4-44-44-2004-422-2-40000-204-4-22-22200000000000000-22000000000−i6i6−i6i6−i6i6−i6i6−i6i6−i6i6000000000000000000000000000000000
χ6644-4-44-4-2400-22-4-44223−2323−23-20-224-4-22223−230023−2323−23000000-2200023−230000000000000000000000000000000000000000000000000
χ6744-4-44-4-2400-22-4-442−2323−2323-20-224-4-222−232300−2323−2323000000-22000−23230000000000000000000000000000000000000000000000000
χ6844-4-44-4-2-200-2222-2223−2323−2310-22-221-1-123−2300−33−330000001-1000−330000i6−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
χ6944-4-44-4-2-200-2222-2223−2323−2310-22-221-1-123−2300−33−330000001-1000−330000−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
χ7044-4-44-4-2-200-2222-22−2323−232310-22-221-1-1−2323003−33−30000001-10003−30000i6−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
χ7144-4-44-4-2-200-2222-22−2323−232310-22-221-1-1−2323003−33−30000001-10003−30000−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
χ7244-4-4-4444004-4-4-44-4000040-44-444-4-400000000000000-44000000000000000000000000000000000000000000000000000000
χ7344-4-4-444-2004-422-2-40000-20-442-2-222000000000000002-2000000000i6−i6i6−i6i6−i6−i6i6−i6i6−i6i6000000000000000000000000000000000
χ7444-4-4-444-2004-422-2-40000-20-442-2-222000000000000002-2000000000−i6i6−i6i6−i6i6i6−i6i6−i6i6−i6000000000000000000000000000000000
χ7544-4-4-44-2400-22-4-44223−2323−23-202-2-44-222−23230023−2323−230000002-2000−23230000000000000000000000000000000000000000000000000
χ7644-4-4-44-2400-22-4-442−2323−2323-202-2-44-22223−2300−2323−23230000002-200023−230000000000000000000000000000000000000000000000000
χ7744-4-4-44-2-200-2222-2223−2323−23102-22-21-1-1−232300−33−33000000-110003−30000i6−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
χ7844-4-4-44-2-200-2222-2223−2323−23102-22-21-1-1−232300−33−33000000-110003−30000−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
χ7944-4-4-44-2-200-2222-22−2323−2323102-22-21-1-123−23003−33−3000000-11000−330000i6−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
χ8044-4-4-44-2-200-2222-22−2323−2323102-22-21-1-123−23003−33−3000000-11000−330000−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
χ814-44-4004400-444-4-4-40000400000-44-400000000004-4000000000000000000000000000000004-4000000000000000000000000
χ824-44-4004400-444-4-4-40000400000-44-40000000000-4400000000000000000000000000000000-44000000000000000000000000
χ834-44-400-24002-24-4-4223−23−2323-2000002-22000023−23−2323004-400000000000000000000000000000000-220023−2300000000000000000000
χ844-44-400-24002-24-4-4223−23−2323-2000002-22000023−23−232300-44000000000000000000000000000000002-200−232300000000000000000000
χ854-44-400-24002-24-4-42−232323−23-2000002-220000−232323−23004-400000000000000000000000000000000-2200−232300000000000000000000
χ864-44-400-24002-24-4-42−232323−23-2000002-220000−232323−2300-44000000000000000000000000000000002-20023−2300000000000000000000
χ874-4-44004-24-4-4-42-22444-4-4-20000022-200-22-2-222000000000000000000000000000004-40000000000000-220000000000000000
χ884-4-44004-24-4-4-42-22444-4-4-20000022-200-22-2-22200000000000000000000000000000-4400000000000002-20000000000000000
χ894-4-44004-2-44-4-42-224-4-444-20000022-2002-222-2-200000000000000000000000000000004-40000000000000-2200000000000000
χ904-4-44004-2-44-4-42-224-4-444-20000022-2002-222-2-20000000000000000000000000000000-4400000000000002-200000000000000
χ914-4-4400-244-422-44-4-2-2-222-20000022-2004-4-2-2224-4004-40000000000000000000000000000-2200-220000000000000000000000
χ924-4-4400-244-422-44-4-2-2-222-20000022-2004-4-2-222-4400-4400000000000000000000000000002-2002-20000000000000000000000
χ934-4-4400-24-4422-44-4-222-2-2-20000022-200-4422-2-24-400-440000000000000000000000000000-22002-20000000000000000000000
χ944-4-4400-24-4422-44-4-222-2-2-20000022-200-4422-2-2-44004-400000000000000000000000000002-200-220000000000000000000000
χ958-88-8008-400-88-444-80000-4000004-440000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-800-4-4004-4-444443−43−4343200000-22-20000−232323−2300000000000000000000000000000000000000000000000000000000000000
χ978-88-800-4-4004-4-4444−434343−43200000-22-2000023−23−232300000000000000000000000000000000000000000000000000000000000000
χ988-8-8800-4-48-8444-44-4-4-444200000-2-2200-4422-2-200000000000000000000000000000000000000000000000000000000000000
χ998-8-8800-4-4-88444-44-444-4-4200000-2-22004-4-2-22200000000000000000000000000000000000000000000000000000000000000

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