Finite Group Databasebeta

← Group #11868836

Character table — Group #11868836

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222222224444444444444444466666688888888888888888888888121212121212121212121212122424242424242424242424243636363648487272
order122233444466666612121212346661212121212121212121212122244448812121212122424242424242424242424242424242422444661212121212124466881212242424244444121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-11-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-111-1-111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111-1-1-1-1-1-11111111111111111111111111-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1
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
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111111111-1-1
χ9111111-1-11111111111111-11111-1-1-1-1-1-1111111111-1-11-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1-11111-1-1-1-11-1111-1-1-111-1-111-1-11-11-1
χ10111111-1-11111111111111-11111-1-1-1-1-1-1111111111-1-11-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-11-11111-1-1-1-111-11-11
χ11111111-1-11111111111111-11111-1-1-1-1-1-1111111111-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-11111-1-1-1-1-1111-11-1-1-1-11111-1-1-11-11
χ12111111-1-11111111111111-11111-1-1-1-1-1-1111111111-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1111111-1-1-1-11-1-1-1-1111-1-111-1-1111-11-1
χ13111111-1-11111111111111-11111-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-111111-111-11-1-1-1-111-1-1111-1-11
χ14111111-1-11111111111111-11111-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-11111-11-1-1-1111-1-11111-1-1-111-1
χ15111111-1-11111111111111-11111-1-1-1-1-1-111111-1-1-1-111-11-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1-1-1-1-11111-11111-1-1-111-1-1-1-111-111-1
χ16111111-1-11111111111111-11111-1-1-1-1-1-111111-1-1-1-111-11-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1111-1-1-1-111111-1-1-11-11111-1-111-1-11-1-11
χ1722222222-2-2222222-2-2-2-22-2222-222-2-222-2-2-2-2-222-2-2-2-200-222-2-200000000000000000020022-2-222-2-200000000000000000000
χ1822222222-2-2222222-2-2-2-22-2222-222-2-222-2-2-2-2-2-2-2222200-222-2-2000000000000000000-200-2-222-2-22200000000000000000000
χ19222222-2-2-2-2222222-2-2-2-222222-2-2-222-2-2-2-2-2-2-222-2-222002-2-222000000000000000000-20022-2-2-2-22200000000000000000000
χ20222222-2-2-2-2222222-2-2-2-222222-2-2-222-2-2-2-2-2-2-2-2-222-2-2002-2-222000000000000000000200-2-22222-2-200000000000000000000
χ2122222-12222-1222-1-12222-12-1-1-1-12222-1-1-1-1-1-1-100000022-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1220220000000022-1-100-1-100000000-1-100
χ2222222-12222-1222-1-12222-12-1-1-1-12222-1-1-1-1-1-1-100000022-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-20-2-200000000-2-2110011000000001100
χ2322222-12222-1222-1-12222-12-1-1-1-12222-1-1-1-1-1-1-1000000-2-2-1-1-1-1-1-2-2-2-21111111111112202200000000-2-2-1-100-1-1000000001100
χ2422222-12222-1222-1-12222-12-1-1-1-12222-1-1-1-1-1-1-1000000-2-2-1-1-1-1-1-2-2-2-2111111111111-2-20-2-2000000002211001100000000-1-100
χ2522222-1-2-222-1222-1-12222-1-2-1-1-1-1-2-2-2-211-1-1-1-1-10000002-21111122-2-2-1-1-1-1-1-1111111220-2-2000000002-2-1-1001100000000-1100
χ2622222-1-2-222-1222-1-12222-1-2-1-1-1-1-2-2-2-211-1-1-1-1-10000002-21111122-2-2-1-1-1-1-1-1111111-2-202200000000-221100-1-1000000001-100
χ2722222-1-2-222-1222-1-12222-1-2-1-1-1-1-2-2-2-211-1-1-1-1-1000000-2211111-2-222111111-1-1-1-1-1-1220-2-200000000-22-1-10011000000001-100
χ2822222-1-2-222-1222-1-12222-1-2-1-1-1-1-2-2-2-211-1-1-1-1-1000000-2211111-2-222111111-1-1-1-1-1-1-2-2022000000002-21100-1-100000000-1100
χ292222-1222222-1-1-122-1-1-1-1-12-1-1-12-1-1-1-122-1-12-1-1222222222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-100200-1-1-1-1-1-1-1-100002200-1-1-1-100000000
χ302222-1222222-1-1-122-1-1-1-1-12-1-1-12-1-1-1-122-1-12-1-1222222-2-22-1-1-1-11111-2-21111-2-2111100200-1-1-1-1-1-1-1-10000-2-200111100000000
χ312222-1222222-1-1-122-1-1-1-1-12-1-1-12-1-1-1-122-1-12-1-1-2-2-2-2-2-2222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-100-200111111110000-2-200111100000000
χ322222-1222222-1-1-122-1-1-1-1-12-1-1-12-1-1-1-122-1-12-1-1-2-2-2-2-2-2-2-22-1-1-1-11111-2-21111-2-2111100-2001111111100002200-1-1-1-100000000
χ332222-1222-2-22-1-1-1221111-1-2-1-1-1-2-1-1112211-21122-2-2-2-200-2-1-1113−33−30033−3−30033−3−300200-1-111-1-111000000003−33−300000000
χ342222-1222-2-22-1-1-1221111-1-2-1-1-1-2-1-1112211-21122-2-2-2-200-2-1-111−33−3300−3−33300−3−33300200-1-111-1-11100000000−33−3300000000
χ352222-1222-2-22-1-1-1221111-1-2-1-1-1-2-1-1112211-211-2-2222200-2-1-1113−33−30033−3−30033−3−300-20011-1-111-1-100000000−33−3300000000
χ362222-1222-2-22-1-1-1221111-1-2-1-1-1-2-1-1112211-211-2-2222200-2-1-111−33−3300−3−33300−3−33300-20011-1-111-1-1000000003−33−300000000
χ372222-12-2-2222-1-1-122-1-1-1-1-1-2-1-1-121111-2-2-1-12-1-12222-2-22-2-21111-1-11122-1-1-1-1-2-2111100-200-1-1-1-1111100002-200-1-11100000000
χ382222-12-2-2222-1-1-122-1-1-1-1-1-2-1-1-121111-2-2-1-12-1-12222-2-2-22-2111111-1-1-2-2111122-1-1-1-100-200-1-1-1-111110000-220011-1-100000000
χ392222-12-2-2222-1-1-122-1-1-1-1-1-2-1-1-121111-2-2-1-12-1-1-2-2-2-2222-2-21111-1-11122-1-1-1-1-2-21111002001111-1-1-1-10000-220011-1-100000000
χ402222-12-2-2222-1-1-122-1-1-1-1-1-2-1-1-121111-2-2-1-12-1-1-2-2-2-222-22-2111111-1-1-2-2111122-1-1-1-1002001111-1-1-1-100002-200-1-11100000000
χ412222-12-2-2-2-22-1-1-1221111-12-1-1-1-211-1-1-2-211-21122-2-22200211-1-13−3−330033−3−300−3−33300-200-1-11111-1-1000000003−3−3300000000
χ422222-12-2-2-2-22-1-1-1221111-12-1-1-1-211-1-1-2-211-21122-2-22200211-1-1−333−300−3−3330033−3−300-200-1-11111-1-100000000−333−300000000
χ432222-12-2-2-2-22-1-1-1221111-12-1-1-1-211-1-1-2-211-211-2-222-2-200211-1-13−3−330033−3−300−3−3330020011-1-1-1-11100000000−333−300000000
χ442222-12-2-2-2-22-1-1-1221111-12-1-1-1-211-1-1-2-211-211-2-222-2-200211-1-1−333−300−3−3330033−3−30020011-1-1-1-111000000003−3−3300000000
χ452-22-222002-222-2-2-2-222-2-2202-2-2200000022-2-2-22-22-200000000000000000000000002-20002-22-20000002-2000000002-2000000
χ462-22-222002-222-2-2-2-222-2-2202-2-2200000022-2-2-22-22-20000000000000000000000000-220002-22-2000000-2200000000-22000000
χ472-22-222002-222-2-2-2-222-2-2202-2-2200000022-2-2-2-22-2200000000000000000000000002-2000-22-220000002-200000000-22000000
χ482-22-222002-222-2-2-2-222-2-2202-2-2200000022-2-2-2-22-220000000000000000000000000-22000-22-22000000-22000000002-2000000
χ492-22-22200-2222-2-2-2-2-2-222202-2-2-2000000-2-22222-2-2200000000000000000000000000002i−2i2-2-2200000000002i−2i0000002i−2i0000
χ502-22-22200-2222-2-2-2-2-2-222202-2-2-2000000-2-22222-2-220000000000000000000000000000−2i2i2-2-220000000000−2i2i000000−2i2i0000
χ512-22-22200-2222-2-2-2-2-2-222202-2-2-2000000-2-2222-222-200000000000000000000000000002i−2i-222-200000000002i−2i000000−2i2i0000
χ522-22-22200-2222-2-2-2-2-2-222202-2-2-2000000-2-2222-222-20000000000000000000000000000−2i2i-222-20000000000−2i2i0000002i−2i0000
χ5344444-244-4-4-2444-2-2-4-4-4-4-2-4-2-2-2244-4-4-2-222222000000002-2-2220000000000000000000000000000000000000000000000000
χ5444444-2-4-4-4-4-2444-2-2-4-4-4-4-24-2-2-22-4-444222222200000000-222-2-20000000000000000000000000000000000000000000000000
χ554444-2-24444-2-2-2-2-2-2-2-2-2-214111-2-2-2-2-2-2-211-21100000044-21111-2-2-2-2-2-21111-2-21111000000000000000000000000000000000
χ564444-2-24444-2-2-2-2-2-2-2-2-2-214111-2-2-2-2-2-2-211-211000000-4-4-21111222222-1-1-1-122-1-1-1-1000000000000000000000000000000000
χ574444-2-244-4-4-2-2-2-2-2-222221-41112-2-222-2-2-1-12-1-100000000211-1-123−2323−2300−3−33300−3−333000000000000000000000000000000000
χ584444-2-244-4-4-2-2-2-2-2-222221-41112-2-222-2-2-1-12-1-100000000211-1-1−2323−23230033−3−30033−3−3000000000000000000000000000000000
χ594444-2-2-4-444-2-2-2-2-2-2-2-2-2-21-4111-222222211-2110000004-42-1-1-1-1-2-222-2-2111122-1-1-1-1000000000000000000000000000000000
χ604444-2-2-4-444-2-2-2-2-2-2-2-2-2-21-4111-222222211-211000000-442-1-1-1-122-2-222-1-1-1-1-2-21111000000000000000000000000000000000
χ614444-2-2-4-4-4-4-2-2-2-2-2-2222214111222-2-222-1-12-1-100000000-2-1-11123−23−232300−3−3330033−3−3000000000000000000000000000000000
χ624444-2-2-4-4-4-4-2-2-2-2-2-2222214111222-2-222-1-12-1-100000000-2-1-111−232323−230033−3−300−3−333000000000000000000000000000000000
χ6344-4-4444-400-4-44-44-4000040-44-404-4004-4000000000000004-4000000000000000000000000000000000000000000000000000
χ6444-4-444-4400-4-44-44-4000040-44-40-4400-4400000000000000-44000000000000000000000000000000000000000000000000000
χ6544-4-44-24-4002-44-4-220000-202-2204-400-2200000000000000-220000006−66−66−66−66−66−6000000000000000000000000000000000
χ6644-4-44-24-4002-44-4-220000-202-2204-400-2200000000000000-22000000−66−66−66−66−66−66000000000000000000000000000000000
χ6744-4-44-2-44002-44-4-220000-202-220-44002-2000000000000002-20000006−66−66−6−66−66−66000000000000000000000000000000000
χ6844-4-44-2-44002-44-4-220000-202-220-44002-2000000000000002-2000000−66−66−666−66−66−6000000000000000000000000000000000
χ6944-4-4-244-400-42-224-423−2323−23-202-220-2223−234-423−23023−23000000000-2223−230000000000000000000000000000000000000000000000000
χ7044-4-4-244-400-42-224-4−2323−2323-202-220-22−23234-4−23230−2323000000000-22−23230000000000000000000000000000000000000000000000000
χ7144-4-4-24-4400-42-224-423−2323−23-202-2202-2−2323-4423−23023−230000000002-2−23230000000000000000000000000000000000000000000000000
χ7244-4-4-24-4400-42-224-4−2323−2323-202-2202-223−23-44−23230−23230000000002-223−230000000000000000000000000000000000000000000000000
χ7344-4-4-2-24-40022-22-2223−2323−2310-11-10-2223−23-22−330−330000000001-1−3300006−6−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ236−6−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23000000000000000000000000000000000
χ7444-4-4-2-24-40022-22-2223−2323−2310-11-10-2223−23-22−330−330000000001-1−330000−662ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23−662ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23000000000000000000000000000000000
χ7544-4-4-2-24-40022-22-22−2323−232310-11-10-22−2323-223−303−30000000001-13−300006−6ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ236−6ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23000000000000000000000000000000000
χ7644-4-4-2-24-40022-22-22−2323−232310-11-10-22−2323-223−303−30000000001-13−30000−66−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−66−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23000000000000000000000000000000000
χ7744-4-4-2-2-440022-22-2223−2323−2310-11-102-2−23232-2−330−33000000000-113−300006−6−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−662ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23000000000000000000000000000000000
χ7844-4-4-2-2-440022-22-2223−2323−2310-11-102-2−23232-2−330−33000000000-113−30000−662ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ236−6−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23000000000000000000000000000000000
χ7944-4-4-2-2-440022-22-22−2323−232310-11-102-223−232-23−303−3000000000-11−3300006−6ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23−66−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23000000000000000000000000000000000
χ8044-4-4-2-2-440022-22-22−2323−232310-11-102-223−232-23−303−3000000000-11−330000−66−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ236−6ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23000000000000000000000000000000000
χ814-44-44-2004-4-24-4-42244-4-4-20-222-2000000-2-2222000000000000000000000000000004-40000000000000-220000000000000000
χ824-44-44-2004-4-24-4-42244-4-4-20-222-2000000-2-222200000000000000000000000000000-4400000000000002-20000000000000000
χ834-44-44-200-44-24-4-422-4-444-20-222200000022-2-2-2000000000000000000000000000000004i−4i00000000000000−2i2i000000000000
χ844-44-44-200-44-24-4-422-4-444-20-222200000022-2-2-200000000000000000000000000000000−4i4i000000000000002i−2i000000000000
χ854-44-4-24004-44-222-4-4-2-222-20-2224000000-2-2-4224-44-4000000000000000000000000000000-22-22000000000000000000000000
χ864-44-4-24004-44-222-4-4-2-222-20-2224000000-2-2-422-44-440000000000000000000000000000002-22-2000000000000000000000000
χ874-44-4-2400-444-222-4-422-2-2-20-222-4000000224-2-24-4-44000000000000000000000000000000-222-2000000000000000000000000
χ884-44-4-2400-444-222-4-422-2-2-20-222-4000000224-2-2-444-40000000000000000000000000000002-2-22000000000000000000000000
χ894-4-44440000-4-4-44-44000040-4-4400000000000000004-400000000000000000000000000000000004-400000000000000000000
χ904-4-44440000-4-4-44-44000040-4-440000000000000000-440000000000000000000000000000000000-4400000000000000000000
χ914-4-44-240000-422-2-4423−23−2323-2022-2000000023−230−232300004-40000000000000000000000000000000023−23-2200000000000000000000
χ924-4-44-240000-422-2-4423−23−2323-2022-2000000023−230−23230000-4400000000000000000000000000000000−23232-200000000000000000000
χ934-4-44-240000-422-2-44−232323−23-2022-20000000−2323023−2300004-400000000000000000000000000000000−2323-2200000000000000000000
χ944-4-44-240000-422-2-44−232323−23-2022-20000000−2323023−230000-440000000000000000000000000000000023−232-200000000000000000000
χ958-88-8-4-4008-8-4-44444-4-444202-2-2-4000000224-2-200000000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-400-88-4-4444444-4-4202-2-24000000-2-2-42200000000000000000000000000000000000000000000000000000000000000
χ978-8-888-400004-8-884-40000-4044-400000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-40000444-44-443−43−434320-2-220000000−2323023−2300000000000000000000000000000000000000000000000000000000000000
χ998-8-88-4-40000444-44-4−434343−4320-2-22000000023−230−232300000000000000000000000000000000000000000000000000000000000000

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