Finite Group Databasebeta

← Group #11886913

Character table — Group #11886913

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11222222222222222444444444444444444446688888888888888888888881212121212121212121212121224242424242424242436363636484848487272
order122334466881212242424242346668121212121224242424242424248866666812121212122424242424242424242424244481212121224242424226888122424224466242422
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111-11-11111111111111111111-1-11-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-111-1-111
χ611111111111111111-11-11111111111111111111-1-11-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-111111111111-1-1-1-111-1-1-11111-1-111-1-1
χ711111111111111111-11-111111111111111111-1-1-1-11-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111-1-1-1-1
χ811111111111111111-11-111111111111111111-1-1-1-11-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11111
χ9111111111-1-111-1-1-1-1111111-111111-1-1-1-1-1-1-1-11111111-111111-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-111111-11-11-11-1-11-11-11-11-11-1
χ10111111111-1-111-1-1-1-1111111-111111-1-1-1-1-1-1-1-11111111-111111-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-11111-111-1-111-1-1-11-11-11-11-11
χ11111111111-1-111-1-1-1-1111111-111111-1-1-1-1-1-1-1-1-1-111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-11-1-111-1-111-11-111-11-1-11
χ12111111111-1-111-1-1-1-1111111-111111-1-1-1-1-1-1-1-1-1-111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-11-11-11-1111-11-1-11-111-1
χ13111111111-1-111-1-1-1-1-11-1111-111111-1-1-1-1-1-1-1-111-1-11-1-11-1-11-1-111-1-1-1111111-1-1-1-11-1-1-1-111111-1-11-11-111-11-111-1-111-1
χ14111111111-1-111-1-1-1-1-11-1111-111111-1-1-1-1-1-1-1-111-1-11-1-11-1-11-1-111-1-1-1111111-1-1-1-11-1-1-1-11111-11-111-1-1111-11-1-111-1-11
χ15111111111-1-111-1-1-1-1-11-1111-111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11-1-111-1-1-11111111111-11111-1-1-1-11-11-1-111-1-11-11-11-1-11-11
χ16111111111-1-111-1-1-1-1-11-1111-111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11-1-111-1-1-11111111111-11111-1-1-1-1-111-11-11-1-1-11-11-111-11-1
χ172222-122-12222222222-12-1-122-1-1-12-122-1-1-1-1-1-1002-1-1-1-12-12-1-1-122-1-1-1-1-1-1-1-1-100000000000002200220000000-1-1-1-100
χ182222-122-12222222222-12-1-122-1-1-12-122-1-1-1-1-1-1002-1-1-1-12-12-1-1-122-1-1-1-1-1-1-1-1-10000000000000-2-200-2-20000000111100
χ192222-122-1222222222-2-1-2-1-122-1-1-12-122-1-1-1-1-1-100-21-111-21-2-111-2-2-1-1-111111100000000000002200-2-20000000-1-11100
χ202222-122-1222222222-2-1-2-1-122-1-1-12-122-1-1-1-1-1-100-21-111-21-2-111-2-2-1-1-11111110000000000000-2-20022000000011-1-100
χ212222-122-12-2-222-2-2-2-22-12-1-12-2-1-1-12-1-2-2111111002-1-1-1-1-2-12-1-1-1-2-211111111100000000000002-2002-20000000-11-1100
χ222222-122-12-2-222-2-2-2-22-12-1-12-2-1-1-12-1-2-2111111002-1-1-1-1-2-12-1-1-1-2-21111111110000000000000-2200-2200000001-11-100
χ232222-122-12-2-222-2-2-2-2-2-1-2-1-12-2-1-1-12-1-2-211111100-21-11121-2-11122111-1-1-1-1-1-100000000000002-200-220000000-111-100
χ242222-122-12-2-222-2-2-2-2-2-1-2-1-12-2-1-1-12-1-2-211111100-21-11121-2-11122111-1-1-1-1-1-10000000000000-22002-200000001-1-1100
χ25222-12222-122-1-1-1-1-1-12-122-1-122-1-1-12-1-122-1-1-1-122-12-1-1-122-1-1-1-1-1-12-1-122-1-1-1-122222-1-1-1-1-1-1-1-100-1200-1-1-10000000000
χ26222-12222-122-1-1-1-1-1-12-122-1-122-1-1-12-1-122-1-1-1-1-2-2-12-1-1-122-1-1-1-1-1-12-1-122-1-1-1-1-2-2-2-2-211111111001-2001110000000000
χ27222-12222-122-1-1-1-1-1-1-2-1-22-1-122-1-1-12-1-122-1-1-1-1221-2-111-2-21-111112-1-1-2-21111-2-2222-1-1-1-1-1-1-1-1001-2001110000000000
χ28222-12222-122-1-1-1-1-1-1-2-1-22-1-122-1-1-12-1-122-1-1-1-1-2-21-2-111-2-21-111112-1-1-2-2111122-2-2-21111111100-1200-1-1-10000000000
χ29222-12222-1-2-2-1-111112-122-1-1-22-1-1-1211-2-2111122-12-1-1-1-22-1-1-1-111-211-2-2111122-2-221111-1-1-1-100-1-200-1110000000000
χ30222-12222-1-2-2-1-111112-122-1-1-22-1-1-1211-2-21111-2-2-12-1-1-1-22-1-1-1-111-211-2-21111-2-222-2-1-1-1-111110012001-1-10000000000
χ31222-12222-1-2-2-1-11111-2-1-22-1-1-22-1-1-1211-2-21111221-2-1112-21-111-1-1-21122-1-1-1-1-2-2-2-221111-1-1-1-10012001-1-10000000000
χ32222-12222-1-2-2-1-11111-2-1-22-1-1-22-1-1-1211-2-21111-2-21-2-1112-21-111-1-1-21122-1-1-1-12222-2-1-1-1-1111100-1-200-1110000000000
χ3322-2222-22222222222020-22-2-2222-2-2-2-22222220000-200000-20000-2-2-2000000000000000000000000000022-2-2000000
χ3422-2222-22222222222020-22-2-2222-2-2-2-22222220000-200000-20000-2-2-20000000000000000000000000000-2-222000000
χ3522-2222-222-2-222-2-2-2-2020-22-22222-2-222-2-2-2-2-2-20000-200000-2000022200000000000000000000000000002-2-22000000
χ3622-2222-222-2-222-2-2-2-2020-22-22222-2-222-2-2-2-2-2-20000-200000-200002220000000000000000000000000000-222-2000000
χ3722-222-222200-2-2000022-2-22-20-2-2-222000000002222-2220-2-22-2-2000000000002-200-2000022-2-2002000-2000000000000
χ3822-222-222200-2-2000022-2-22-20-2-2-22200000000-2-222-2220-2-22-2-200000000000-220020000-2-22200-20002000000000000
χ3922-222-222200-2-20000-222-22-20-2-2-2220000000022-2-2-2-2-202222200000000000-2200-2000022-2-200-20002000000000000
χ4022-222-222200-2-20000-222-22-20-2-2-22200000000-2-2-2-2-2-2-2022222000000000002-20020000-2-222002000-2000000000000
χ4122-2-12-222-1001133−3−32-1-2-2-110-211-123−30033−3−322-121-1-10-21-1113−303−30033−3−32-200-233−3−3-1-11100-100013−30000000000
χ4222-2-12-222-1001133−3−32-1-2-2-110-211-123−30033−3−3-2-2-121-1-10-21-1113−303−30033−3−3-22002−3−33311-1-1001000-1−330000000000
χ4322-2-12-222-1001133−3−3-2-12-2-110-211-123−30033−3−3221-211102-1-1-1-1−3303−300−3−333-2200-233−3−3-1-111001000-1−330000000000
χ4422-2-12-222-1001133−3−3-2-12-2-110-211-123−30033−3−3-2-21-211102-1-1-1-1−3303−300−3−3332-2002−3−33311-1-100-100013−30000000000
χ4522-2-12-222-10011−3−3332-1-2-2-110-211-12−3300−3−33322-121-1-10-21-111−330−3300−3−3332-200-2−3−333-1-11100-10001−330000000000
χ4622-2-12-222-10011−3−3332-1-2-2-110-211-12−3300−3−333-2-2-121-1-10-21-111−330−3300−3−333-2200233−3−311-1-1001000-13−30000000000
χ4722-2-12-222-10011−3−333-2-12-2-110-211-12−3300−3−333221-211102-1-1-1-13−30−330033−3−3-2200-2−3−333-1-111001000-13−30000000000
χ4822-2-12-222-10011−3−333-2-12-2-110-211-12−3300−3−333-2-21-211102-1-1-1-13−30−330033−3−32-200233−3−311-1-100-10001−330000000000
χ4944444-4-44400-4-400000404440-4-4-4-4-4000000000000400000-4000000000000000000000000000000000000000000000
χ504444-2-4-4-2400-4-400000-20-2-240222-42000000000000-2000002000000023−2323−2323−2300000000000000000000000000000000
χ514444-2-4-4-2400-4-400000-20-2-240222-42000000000000-20000020000000−2323−2323−232300000000000000000000000000000000
χ52444-24-4-44-200222323−23−230-204-2-20-4222-4−2323002323−23−230000-200000200000−232300000000000000000000000000000000000000
χ53444-24-4-44-20022−23−2323230-204-2-20-4222-423−2300−23−2323230000-20000020000023−2300000000000000000000000000000000000000
χ54444-2-244-2-244-2-2-2-2-2-2414-21-24-211-2-2-2-2-2-2111100-2-21114-2-2111-2-2-211-2-2111100000000000000000000000000000000
χ55444-2-244-2-244-2-2-2-2-2-2-41-4-21-24-211-2-2-2-2-2-2111100221-1-1-4221-1-122-21122-1-1-1-100000000000000000000000000000000
χ56444-2-244-2-2-4-4-2-22222414-21-2-4-211-2-22222-1-1-1-100-2-2111-4-2-2111222-1-122-1-1-1-100000000000000000000000000000000
χ57444-2-244-2-2-4-4-2-22222-41-4-21-2-4-211-2-22222-1-1-1-100221-1-14221-1-1-2-22-1-1-2-2111100000000000000000000000000000000
χ58444-2-2-4-4-2-200222323−23−23010-21-202-1-122−232300−3−333000013-3000-13-30003−323−23−33−3300000000000000000000000000000000
χ59444-2-2-4-4-2-200222323−23−23010-21-202-1-122−232300−3−33300001-33000-1-330003−3−23233−33−300000000000000000000000000000000
χ60444-2-2-4-4-2-20022−23−232323010-21-202-1-12223−230033−3−3000013-3000-13-3000−33−23233−33−300000000000000000000000000000000
χ61444-2-2-4-4-2-20022−23−232323010-21-202-1-12223−230033−3−300001-33000-1-33000−3323−23−33−3300000000000000000000000000000000
χ6244-44-24-4-24444444440-202-2-4-4-2-2-2-42-4-4-2-2-2-2-2-200002000002000022200000000000000000000000000000000000000
χ6344-44-24-4-24-4-444-4-4-4-40-202-2-44-2-2-2-4244222222000020000020000-2-2-200000000000000000000000000000000000000
χ6444-44-2-44-2400-4-400004-2-42-2-402224-200000000004-22-2-202-4-2220000000000000000000000000000000000000000000
χ6544-44-2-44-2400-4-40000-4-242-2-402224-20000000000-422220-24-2-2-20000000000000000000000000000000000000000000
χ6644-4-244-44-244-2-2-2-2-2-20-20-4-22-44-2-22-42244-2-2-2-2000020000020000-42200000000000000000000000000000000000000
χ6744-4-244-44-2-4-4-2-222220-20-4-2244-2-22-4-2-2-4-422220000200000200004-2-200000000000000000000000000000000000000
χ6844-4-2-24-4-2-244-2-2-2-2-2-2010212-4-2112222-2-211110000-13-3000-1-33002-1-100-333-300000000000000000000000000000000
χ6944-4-2-24-4-2-244-2-2-2-2-2-2010212-4-2112222-2-211110000-1-33000-13-3002-1-1003-3-3300000000000000000000000000000000
χ7044-4-2-24-4-2-2-4-4-2-222220102124-21122-2-222-1-1-1-10000-13-3000-1-3300-211003-3-3300000000000000000000000000000000
χ7144-4-2-24-4-2-2-4-4-2-222220102124-21122-2-222-1-1-1-10000-1-33000-13-300-21100-333-300000000000000000000000000000000
χ7244-4-2-2-44-2-200222323−23−2341-421202-1-1-2-223−2300−3−33300-2-2-1110221-1-123−230−3300−3−33300000000000000000000000000000000
χ7344-4-2-2-44-2-200222323−23−23-41421202-1-1-2-223−2300−3−3330022-1-1-10-2-2111−23230−330033−3−300000000000000000000000000000000
χ7444-4-2-2-44-2-20022−23−23232341-421202-1-1-2-2−23230033−3−300-2-2-1110221-1-1−232303−30033−3−300000000000000000000000000000000
χ7544-4-2-2-44-2-20022−23−232323-41421202-1-1-2-2−23230033−3−30022-1-1-10-2-211123−2303−300−3−33300000000000000000000000000000000
χ764-404400-4-422−220022−2222−220400-400000000022−2222−2222−2222−220000000000000000000000002-202-22-222−22000000000000000000000
χ774-404400-4-422−220022−2222−220400-400000000022−2222−2222−22−2222000000000000000000000000-220-22-22−2222000000000000000000000
χ784-404400-4-4−222200−2222−22220400-4000000000−2222−2222−222222−22000000000000000000000000-220-22-2222−22000000000000000000000
χ794-404400-4-4−222200−2222−22220400-4000000000−2222−2222−2222−22220000000000000000000000002-202-22-2−2222000000000000000000000
χ804-40-2400-4222−2223−232ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ230-200200023−23000022−222ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ2322−220000000000000000000000002-20−1+31−3−1−31+3−226−60000000000000000000
χ814-40-2400-4222−2223−232ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ230-200200023−23000022−222ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23−2222000000000000000000000000-2201−3−1+31+3−1−32−2−660000000000000000000
χ824-40-2400-4222−22−23232ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ70-2002000−2323000022−222ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ722−220000000000000000000000002-20−1−31+3−1+31−3−22−660000000000000000000
χ834-40-2400-4222−22−23232ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ70-2002000−2323000022−222ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7−2222000000000000000000000000-2201+3−1−31−3−1+32−26−60000000000000000000
χ844-40-2400-42−222223−23−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ230-200200023−230000−2222−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ2322−22000000000000000000000000-2201−3−1+31+3−1−3−226−60000000000000000000
χ854-40-2400-42−222223−23−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ230-200200023−230000−2222−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ23−22220000000000000000000000002-20−1+31−3−1−31+32−2−660000000000000000000
χ864-40-2400-42−2222−2323−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ70-2002000−23230000−2222−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ722−22000000000000000000000000-2201+3−1−31−3−1+3−22−660000000000000000000
χ874-40-2400-42−2222−2323−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ70-2002000−23230000−2222−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ7−22220000000000000000000000002-20−1−31+3−1+31−32−26−60000000000000000000
χ888-808-4004-842−420042−4242−420-4004000000000−2222−2222−222200000000000000000000000000000000000000000000000000000000
χ898-808-4004-8−424200−4242−42420-400400000000022−2222−2222−2200000000000000000000000000000000000000000000000000000000
χ908-80-4-4004442−4243−434ζ5−4ζ7−4ζ5+4ζ74ζ13−4ζ23−4ζ13+4ζ230200-2000−23230000−2222−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ2300000000000000000000000000000000000000000000000000000000
χ918-80-4-4004442−42−43434ζ13−4ζ23−4ζ13+4ζ234ζ5−4ζ7−4ζ5+4ζ70200-200023−230000−2222−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ700000000000000000000000000000000000000000000000000000000
χ928-80-4-40044−424243−43−4ζ5+4ζ74ζ5−4ζ7−4ζ13+4ζ234ζ13−4ζ230200-2000−2323000022−222ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ2300000000000000000000000000000000000000000000000000000000
χ938-80-4-40044−4242−4343−4ζ13+4ζ234ζ13−4ζ23−4ζ5+4ζ74ζ5−4ζ70200-200023−23000022−222ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ700000000000000000000000000000000000000000000000000000000

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