Finite Group Databasebeta

← Group #11865856

Character table — Group #11865856

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222222224444444444444444466666688888888888888888888888121212121212121212121212122424242424242424242424243636363648487272
order1222334444666666121212123466612121212121212121212121222444488121212121224242424242424242424242424242424224446612121212121222668812122424242422446644
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
χ9111111-1-11111111111111-11111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1-11111-1-1-1-11-1111-1-1-111-1-111-1-11-11-1
χ10111111-1-11111111111111-11111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-11-11111-1-1-1-111-11-11
χ11111111-1-11111111111111-11111-1-1-1-1-1-11111111-1-111-11-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-11111-1-1-1-1-1111-11-1-1-1-11111-1-1-11-11
χ12111111-1-11111111111111-11111-1-1-1-1-1-11111111-1-111-11-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1111111-1-1-1-11-1-1-1-1111-1-111-1-1111-11-1
χ13111111-1-11111111111111-11111-1-1-1-1-1-111111-1-111-1-11-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-111111-111-11-1-1-1-111-1-1111-1-11
χ14111111-1-11111111111111-11111-1-1-1-1-1-111111-1-111-1-11-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-11111-11-1-1-1111-1-11111-1-1-111-1
χ15111111-1-11111111111111-11111-1-1-1-1-1-111111-1-111-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1-1-1-1-11111-11111-1-1-111-1-1-1-111-111-1
χ16111111-1-11111111111111-11111-1-1-1-1-1-111111-1-111-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1111-1-1-1-111111-1-1-11-11111-1-111-1-11-1-11
χ1722222222-2-2222222-2-2-2-22-2222-222-2-222-2-2-2-2-22222-2-200-222-2-2000000000000000000-20022-2-222-2-200000000000000000000
χ1822222222-2-2222222-2-2-2-22-2222-222-2-222-2-2-2-2-2-2-2-2-22200-222-2-2000000000000000000200-2-222-2-22200000000000000000000
χ19222222-2-2-2-2222222-2-2-2-222222-2-2-222-2-2-2-2-2-2-222-2-2-2-2002-2-22200000000000000000020022-2-2-2-22200000000000000000000
χ20222222-2-2-2-2222222-2-2-2-222222-2-2-222-2-2-2-2-2-2-2-2-22222002-2-222000000000000000000-200-2-22222-2-200000000000000000000
χ2122222-12222-1-1222-12222-12-1-1-1-12222-1-1-1-1-1-1-100000022-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1220220000000022-1-100-1-100000000-1-100
χ2222222-12222-1-1222-12222-12-1-1-1-12222-1-1-1-1-1-1-100000022-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-20-2-200000000-2-2110011000000001100
χ2322222-12222-1-1222-12222-12-1-1-1-12222-1-1-1-1-1-1-1000000-2-2-1-1-1-1-1-2-2-2-21111111111112202200000000-2-2-1-100-1-1000000001100
χ2422222-12222-1-1222-12222-12-1-1-1-12222-1-1-1-1-1-1-1000000-2-2-1-1-1-1-1-2-2-2-2111111111111-2-20-2-2000000002211001100000000-1-100
χ2522222-1-2-222-1-1222-12222-1-2-1-1-1-1-2-2-2-211-1-1-1-1-10000002-21111122-2-2-1-1-1-1-1-1111111220-2-2000000002-2-1-1001100000000-1100
χ2622222-1-2-222-1-1222-12222-1-2-1-1-1-1-2-2-2-211-1-1-1-1-10000002-21111122-2-2-1-1-1-1-1-1111111-2-202200000000-221100-1-1000000001-100
χ2722222-1-2-222-1-1222-12222-1-2-1-1-1-1-2-2-2-211-1-1-1-1-1000000-2211111-2-222111111-1-1-1-1-1-1220-2-200000000-22-1-10011000000001-100
χ2822222-1-2-222-1-1222-12222-1-2-1-1-1-1-2-2-2-211-1-1-1-1-1000000-2211111-2-222111111-1-1-1-1-1-1-2-2022000000002-21100-1-100000000-1100
χ292222-12222222-1-1-12-1-1-1-1-12-1-1-12-1-1-1-122-1-12-1-1222222222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-100200-1-1-1-1-1-1-1-100002200-1-1-1-100000000
χ302222-12222222-1-1-12-1-1-1-1-12-1-1-12-1-1-1-122-1-12-1-1222222-2-22-1-1-1-11111-2-21111-2-2111100200-1-1-1-1-1-1-1-10000-2-200111100000000
χ312222-12222222-1-1-12-1-1-1-1-12-1-1-12-1-1-1-122-1-12-1-1-2-2-2-2-2-2222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-100-200111111110000-2-200111100000000
χ322222-12222222-1-1-12-1-1-1-1-12-1-1-12-1-1-1-122-1-12-1-1-2-2-2-2-2-2-2-22-1-1-1-11111-2-21111-2-2111100-2001111111100002200-1-1-1-100000000
χ332222-1222-2-222-1-1-121111-1-2-1-1-1-2-1-1112211-2112222-2-200-2-1-1113−33−30033−3−30033−3−300-200-1-111-1-111000000003−33−300000000
χ342222-1222-2-222-1-1-121111-1-2-1-1-1-2-1-1112211-2112222-2-200-2-1-111−33−3300−3−33300−3−33300-200-1-111-1-11100000000−33−3300000000
χ352222-1222-2-222-1-1-121111-1-2-1-1-1-2-1-1112211-211-2-2-2-22200-2-1-1113−33−30033−3−30033−3−30020011-1-111-1-100000000−33−3300000000
χ362222-1222-2-222-1-1-121111-1-2-1-1-1-2-1-1112211-211-2-2-2-22200-2-1-111−33−3300−3−33300−3−3330020011-1-111-1-1000000003−33−300000000
χ372222-12-2-22222-1-1-12-1-1-1-1-1-2-1-1-121111-2-2-1-12-1-122-2-2222-2-21111-1-11122-1-1-1-1-2-2111100-200-1-1-1-1111100002-200-1-11100000000
χ382222-12-2-22222-1-1-12-1-1-1-1-1-2-1-1-121111-2-2-1-12-1-122-2-222-22-2111111-1-1-2-2111122-1-1-1-100-200-1-1-1-111110000-220011-1-100000000
χ392222-12-2-22222-1-1-12-1-1-1-1-1-2-1-1-121111-2-2-1-12-1-1-2-222-2-22-2-21111-1-11122-1-1-1-1-2-21111002001111-1-1-1-10000-220011-1-100000000
χ402222-12-2-22222-1-1-12-1-1-1-1-1-2-1-1-121111-2-2-1-12-1-1-2-222-2-2-22-2111111-1-1-2-2111122-1-1-1-1002001111-1-1-1-100002-200-1-11100000000
χ412222-12-2-2-2-222-1-1-121111-12-1-1-1-211-1-1-2-211-21122-2-2-2-200211-1-13−3−330033−3−300−3−33300200-1-11111-1-1000000003−3−3300000000
χ422222-12-2-2-2-222-1-1-121111-12-1-1-1-211-1-1-2-211-21122-2-2-2-200211-1-1−333−300−3−3330033−3−300200-1-11111-1-100000000−333−300000000
χ432222-12-2-2-2-222-1-1-121111-12-1-1-1-211-1-1-2-211-211-2-2222200211-1-13−3−330033−3−300−3−33300-20011-1-1-1-11100000000−333−300000000
χ442222-12-2-2-2-222-1-1-121111-12-1-1-1-211-1-1-2-211-211-2-2222200211-1-1−333−300−3−3330033−3−300-20011-1-1-1-111000000003−3−3300000000
χ452-2-2222002-22-22-2-2-222-2-2202-2-2200000022-2-2-22-2002-2000000000000000000000000002i−2i2-22-200000000002i−2i0000002i−2i0000
χ462-2-2222002-22-22-2-2-222-2-2202-2-2200000022-2-2-22-2002-200000000000000000000000000−2i2i2-22-20000000000−2i2i000000−2i2i0000
χ472-2-2222002-22-22-2-2-222-2-2202-2-2200000022-2-2-2-2200-22000000000000000000000000002i−2i-22-2200000000002i−2i000000−2i2i0000
χ482-2-2222002-22-22-2-2-222-2-2202-2-2200000022-2-2-2-2200-2200000000000000000000000000−2i2i-22-220000000000−2i2i0000002i−2i0000
χ492-2-222200-222-22-2-2-2-2-222202-2-2-2000000-2-22222-200-22000000000000000000000002-20002-2-220000002-2000000002-2000000
χ502-2-222200-222-22-2-2-2-2-222202-2-2-2000000-2-22222-200-2200000000000000000000000-220002-2-22000000-2200000000-22000000
χ512-2-222200-222-22-2-2-2-2-222202-2-2-2000000-2-2222-22002-2000000000000000000000002-2000-222-20000002-200000000-22000000
χ522-2-222200-222-22-2-2-2-2-222202-2-2-2000000-2-2222-22002-200000000000000000000000-22000-222-2000000-22000000002-2000000
χ5344444-244-4-4-2-2444-2-4-4-4-4-2-4-2-2-2244-4-4-2-222222000000002-2-2220000000000000000000000000000000000000000000000000
χ5444444-2-4-4-4-4-2-2444-2-4-4-4-4-24-2-2-22-4-444222222200000000-222-2-20000000000000000000000000000000000000000000000000
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
χ6344-4-4440000-44-44-4-4000040-44-4000000000000004i−4i00000000000000000000000000000000004i−4i0000000000000000000000
χ6444-4-4440000-44-44-4-4000040-44-400000000000000−4i4i0000000000000000000000000000000000−4i4i0000000000000000000000
χ6544-4-4-240000-442-22-423−2323−23-202-22000000023−23023−23004i−4i0000000000000000000000000000000000−2i2i−2i32i300000000000000000000
χ6644-4-4-240000-442-22-423−2323−23-202-22000000023−23023−2300−4i4i00000000000000000000000000000000002i−2i2i3−2i300000000000000000000
χ6744-4-4-240000-442-22-4−2323−2323-202-220000000−23230−2323004i−4i0000000000000000000000000000000000−2i2i2i3−2i300000000000000000000
χ6844-4-4-240000-442-22-4−2323−2323-202-220000000−23230−232300−4i4i00000000000000000000000000000000002i−2i−2i32i300000000000000000000
χ694-44-4444-400-4-4-4-444000040-4-4404-4004-4000000000000004-4000000000000000000000000000000000000000000000000000
χ704-44-444-4400-4-4-4-444000040-4-440-4400-4400000000000000-44000000000000000000000000000000000000000000000000000
χ714-44-44-24-40022-4-44-20000-2022-204-400-2200000000000000-22000000i6−i6i6−i6i6−i6i6−i6i6−i6i6−i6000000000000000000000000000000000
χ724-44-44-24-40022-4-44-20000-2022-204-400-2200000000000000-22000000−i6i6−i6i6−i6i6−i6i6−i6i6−i6i6000000000000000000000000000000000
χ734-44-44-2-440022-4-44-20000-2022-20-44002-2000000000000002-2000000i6−i6i6−i6i6−i6−i6i6−i6i6−i6i6000000000000000000000000000000000
χ744-44-44-2-440022-4-44-20000-2022-20-44002-2000000000000002-2000000−i6i6−i6i6−i6i6i6−i6i6−i6i6−i6000000000000000000000000000000000
χ754-44-4-244-400-4-422-2423−23−2323-2022-20-2223−234-423−230−2323000000000-2223−230000000000000000000000000000000000000000000000000
χ764-44-4-244-400-4-422-24−232323−23-2022-20-22−23234-4−2323023−23000000000-22−23230000000000000000000000000000000000000000000000000
χ774-44-4-24-4400-4-422-2423−23−2323-2022-202-2−2323-4423−230−23230000000002-2−23230000000000000000000000000000000000000000000000000
χ784-44-4-24-4400-4-422-24−232323−23-2022-202-223−23-44−2323023−230000000002-223−230000000000000000000000000000000000000000000000000
χ794-44-4-2-24-4002222-2-223−23−232310-1-110-2223−23-22−3303−30000000001-1−330000i6−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
χ804-44-4-2-24-4002222-2-223−23−232310-1-110-2223−23-22−3303−30000000001-1−330000−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
χ814-44-4-2-24-4002222-2-2−232323−2310-1-110-22−2323-223−30−330000000001-13−30000i6−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
χ824-44-4-2-24-4002222-2-2−232323−2310-1-110-22−2323-223−30−330000000001-13−30000−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
χ834-44-4-2-2-44002222-2-223−23−232310-1-1102-2−23232-2−3303−3000000000-113−30000i6−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
χ844-44-4-2-2-44002222-2-223−23−232310-1-1102-2−23232-2−3303−3000000000-113−30000−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
χ854-44-4-2-2-44002222-2-2−232323−2310-1-1102-223−232-23−30−33000000000-11−330000i6−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
χ864-44-4-2-2-44002222-2-2−232323−2310-1-1102-223−232-23−30−33000000000-11−330000−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
χ874-4-444-2004-4-224-4-4244-4-4-20-222-2000000-2-2222000000000000000000000000000000004i−4i00000000000000−2i2i000000000000
χ884-4-444-2004-4-224-4-4244-4-4-20-222-2000000-2-222200000000000000000000000000000000−4i4i000000000000002i−2i000000000000
χ894-4-444-200-44-224-4-42-4-444-20-222200000022-2-2-2000000000000000000000000000004-40000000000000-220000000000000000
χ904-4-444-200-44-224-4-42-4-444-20-222200000022-2-2-200000000000000000000000000000-4400000000000002-20000000000000000
χ914-4-44-24004-44-4-222-4-2-222-20-2224000000-2-2-4224-4004-40000000000000000000000000000-22-22000000000000000000000000
χ924-4-44-24004-44-4-222-4-2-222-20-2224000000-2-2-422-4400-4400000000000000000000000000002-22-2000000000000000000000000
χ934-4-44-2400-444-4-222-422-2-2-20-222-4000000224-2-24-400-440000000000000000000000000000-222-2000000000000000000000000
χ944-4-44-2400-444-4-222-422-2-2-20-222-4000000224-2-2-44004-400000000000000000000000000002-2-22000000000000000000000000
χ9588-8-88-400004-4-88-840000-404-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-400004-44-44443−4343−4320-22-20000000−23230−232300000000000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-400004-44-444−4343−434320-22-2000000023−23023−2300000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-4008-8-44-4444-4-444202-2-2-4000000224-2-200000000000000000000000000000000000000000000000000000000000000
χ998-8-88-4-400-88-44-444444-4-4202-2-24000000-2-2-42200000000000000000000000000000000000000000000000000000000000000

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