Finite Group Databasebeta

← Group #13170545

Character table — Group #13170545

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1122222222222444444444444444444448888888888888899121212121212121212121212121218181818181818242424242424242424242424242424242424242436363636363672727272108108
order12233344666121233366666612121212121212121212123666666121212121212122224888824242424242424242446612126666121212122424242424242424242424242222612666624
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ31111111111111111111111111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ511111111111111111111111111111111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1
χ611111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1
χ711111111111111111111111111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111
χ811111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111
χ911-1111-1111111111-1-1-1111-1-1-1-1-11111111-1-1-1-1-11-1-1111-1-1111-11-11-111-1-111-1-1-11-111111111-1-1-1-1111-1-1-1111-1-1-11-11-1-1-11-11-11-1
χ1011-1111-1111111111-1-1-1111-1-1-1-1-11111111-1-1-1-1-11-1-1111-1-1111-1-11-11-1-111-1-111-11-111111111-1-1-1-1-1-1-1111-1-1-1111-11-11-1-1-11-111-1
χ1111-1111-1111111111-1-1-1111-1-1-1-1-11111111-1-1-1-1-11-1-1111-1-111-111-11-111-1-111-1-1-11-11111-1-1-1-11111111-1-1-1111-1-1-1-11-11-1-1-11-11-11
χ1211-1111-1111111111-1-1-1111-1-1-1-1-11111111-1-1-1-1-11-1-1111-1-111-11-11-11-1-111-1-111-11-11111-1-1-1-11111-1-1-1111-1-1-11111-11-1-1-11-11-1-11
χ1311-1111-1111111111-1-1-1111-1-1-1-1-11111111-1-1-1-1-11-1-1111-1-1-1-11-11-1-1111-1-1-1-1111-11-1-1-1-11111-1-1-1-1111-1-1-1-1-1-11111-1-11111-1-11-11
χ1411-1111-1111111111-1-1-1111-1-1-1-1-11111111-1-1-1-1-11-1-1111-1-1-1-11-1-111-1-1-11111-1-11-11-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-111-111-111-1-11
χ1511-1111-1111111111-1-1-1111-1-1-1-1-11111111-1-1-1-1-11-1-1111-1-1-1-1-111-1-1111-1-1-1-1111-11-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1111-111-111-111-11-1
χ1611-1111-1111111111-1-1-1111-1-1-1-1-11111111-1-1-1-1-11-1-1111-1-1-1-1-11-111-1-1-11111-1-11-11-1-1-1-1-1-1-1-11111-1-1-1111111-1-1-11-1-11111-1-111-1
χ17222222-2-2222-2-2222222222-2-2-2-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-222000000000000002-2-222-2-20000000000000000000000002-2000000
χ18222222-2-2222-2-2222222222-2-2-2-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2-200000000000000-222-2-222000000000000000000000000-22000000
χ1922222-1222-12222-1-122-12-1-12-12-1-12-122-1-1-12-1-1-1-1-12-1-1-1-1-1-1002200220000222200000002-1-1-12-1-1-1000000-1-1-1-1-1-100220000-1-100
χ2022222-1222-12222-1-122-12-1-12-12-1-12-122-1-1-12-1-1-1-1-12-1-1-1-1-1-1002200-2-20000-2-2-2-200000002-1-1-12-1-1-100000011111100-2-200001100
χ2122222-1222-12222-1-122-12-1-12-12-1-12-122-1-1-12-1-1-1-1-12-1-1-1-1-1-100-2-20022000022220000000-2111-2111000000-1-1-1-1-1-100-2-200001100
χ2222222-1222-12222-1-122-12-1-12-12-1-12-122-1-1-12-1-1-1-1-12-1-1-1-1-1-100-2-200-2-20000-2-2-2-20000000-2111-211100000011111100220000-1-100
χ232222-1222-12222-12-12-12-12-1-122-1-1-12-1-122-1-12-1-1-1-1-12-1-1-1-1-100222200222200000000000-12-1-1-12-1-1-1-1-1-1-1-1000000220000-1-10000
χ242222-1222-12222-12-12-12-12-1-122-1-1-12-1-122-1-12-1-1-1-1-12-1-1-1-1-10022-2-200-2-2-2-200000000000-12-1-1-12-1-1111111000000-2-20000110000
χ252222-1222-12222-12-12-12-12-1-122-1-1-12-1-122-1-12-1-1-1-1-12-1-1-1-1-100-2-222002222000000000001-2111-211-1-1-1-1-1-1000000-2-20000110000
χ262222-1222-12222-12-12-12-12-1-122-1-1-12-1-122-1-12-1-1-1-1-12-1-1-1-1-100-2-2-2-200-2-2-2-2000000000001-2111-211111111000000220000-1-10000
χ27222-1222222-1-1-1-1-12-122-1-1222-12222-1-1-1-1-1-1-12-1-1-1-1-12-1-1-1-122002222-1-1-1-1-1-1-1-1222-1-1-1-1000000002-1-12-1-12-1-12-1-10000-1-1000000
χ28222-1222222-1-1-1-1-12-122-1-1222-12222-1-1-1-1-1-1-12-1-1-1-1-12-1-1-1-12200-2-2-2-211111111222-1-1-1-100000000-211-211-211-2110000-1-1000000
χ29222-1222222-1-1-1-1-12-122-1-1222-12222-1-1-1-1-1-1-12-1-1-1-1-12-1-1-1-1-2-20022-2-2-1-1-1-11111-2-2-21111000000002-1-12-1-1-211-211000011000000
χ30222-1222222-1-1-1-1-12-122-1-1222-12222-1-1-1-1-1-1-12-1-1-1-1-12-1-1-1-1-2-200-2-2221111-1-1-1-1-2-2-2111100000000-211-2112-1-12-1-1000011000000
χ31222-122-2-222-111-1-12-122-1-12-2-21-2-2-2-21111-1-1-12-1-1-111-21111220000003−33−33−33−32-2-2-1-1110000000003−303−303−303−30000-11000000
χ32222-122-2-222-111-1-12-122-1-12-2-21-2-2-2-21111-1-1-12-1-1-111-2111122000000−33−33−33−332-2-2-1-111000000000−330−330−330−330000-11000000
χ33222-122-2-222-111-1-12-122-1-12-2-21-2-2-2-21111-1-1-12-1-1-111-21111-2-20000003−33−3−33−33-22211-1-10000000003−303−30−330−3300001-1000000
χ34222-122-2-222-111-1-12-122-1-12-2-21-2-2-2-21111-1-1-12-1-1-111-21111-2-2000000−33−333−33−3-22211-1-1000000000−330−3303−303−300001-1000000
χ3522-22222-2222-2-2222-2-2-222222222-2-2-2-2-2-22-2-2-2-2-2222-2-2-2222200000000000000-2-2222-2-2000000000000000000000000-22000000
χ3622-22222-2222-2-2222-2-2-222222222-2-2-2-2-2-22-2-2-2-2-2222-2-2-222-2-20000000000000022-2-2-2220000000000000000000000002-2000000
χ3722-222-1-222-12222-1-1-2-212-1-1-21-2112-122-1-1-1-21111-1-21-1-1-111002-2002-2000022-2-200000002-1-1-1-2111000000-1-1-1111002-20000-1100
χ3822-222-1-222-12222-1-1-2-212-1-1-21-2112-122-1-1-1-21111-1-21-1-1-111002-200-220000-2-22200000002-1-1-1-2111000000111-1-1-100-2200001-100
χ3922-222-1-222-12222-1-1-2-212-1-1-21-2112-122-1-1-1-21111-1-21-1-1-11100-22002-2000022-2-20000000-21112-1-1-1000000-1-1-111100-2200001-100
χ4022-222-1-222-12222-1-1-2-212-1-1-21-2112-122-1-1-1-21111-1-21-1-1-11100-2200-220000-2-2220000000-21112-1-1-1000000111-1-1-1002-20000-1100
χ4122-22-12-22-12222-12-1-21-2-12-11-2-211-12-1-122-11-2111-11-2-1-1-111002-22-20022-2-200000000000-12-1-11-211-1-1-11110000002-20000-110000
χ4222-22-12-22-12222-12-1-21-2-12-11-2-211-12-1-122-11-2111-11-2-1-1-111002-2-2200-2-22200000000000-12-1-11-211111-1-1-1000000-2200001-10000
χ4322-22-12-22-12222-12-1-21-2-12-11-2-211-12-1-122-11-2111-11-2-1-1-11100-222-20022-2-2000000000001-211-12-1-1-1-1-1111000000-2200001-10000
χ4422-22-12-22-12222-12-1-21-2-12-11-2-211-12-1-122-11-2111-11-2-1-1-11100-22-2200-2-222000000000001-211-12-1-1111-1-1-10000002-20000-110000
χ4522-2-1222-222-111-1-121-2-2-1-1222-122-2-21111-111-211-1-1-1-211-1-1220000003−3−333−3−33-2-22-1-1110000000003−30−3303−30−3300001-1000000
χ4622-2-1222-222-111-1-121-2-2-1-1222-122-2-21111-111-211-1-1-1-211-1-122000000−333−3−333−3-2-22-1-111000000000−3303−30−3303−300001-1000000
χ4722-2-1222-222-111-1-121-2-2-1-1222-122-2-21111-111-211-1-1-1-211-1-1-2-20000003−3−33−333−322-211-1-10000000003−30−330−3303−30000-11000000
χ4822-2-1222-222-111-1-121-2-2-1-1222-122-2-21111-111-211-1-1-1-211-1-1-2-2000000−333−33−3−3322-211-1-1000000000−3303−303−30−330000-11000000
χ4922-2-122-2222-1-1-1-1-121-2-2-1-12-2-21-2-222-1-1-1-1-111-211-1112-1-11122002-22-2-1-111-1-111-22-2-1-1-1-1000000002-1-1-2112-1-1-211000011000000
χ5022-2-122-2222-1-1-1-1-121-2-2-1-12-2-21-2-222-1-1-1-1-111-211-1112-1-1112200-22-2211-1-111-1-1-22-2-1-1-1-100000000-2112-1-1-2112-1-1000011000000
χ5122-2-122-2222-1-1-1-1-121-2-2-1-12-2-21-2-222-1-1-1-1-111-211-1112-1-111-2-2002-2-22-1-11111-1-12-221111000000002-1-1-211-2112-1-10000-1-1000000
χ5222-2-122-2222-1-1-1-1-121-2-2-1-12-2-21-2-222-1-1-1-1-111-211-1112-1-111-2-200-222-211-1-1-1-1112-22111100000000-2112-1-12-1-1-2110000-1-1000000
χ5344444-2-4-44-24-4-44-2-244-24-2-2-42-422-42-4-422-24-2-2-2-2-2-42222220000000000000000000000000000000000000000000000000000000
χ544444-24-4-4-244-4-4-24-24-24-24-22-4-4222-422-4-4-2-24-2-2-2-22-4222220000000000000000000000000000000000000000000000000000000
χ554444-2-244-2-2444-2-214-2-2-2-21-2-2411-2-2-2-2-2-21-2-21111-2-21111100440000000000000000000-2-211-2-211000000000000000000000000
χ564444-2-244-2-2444-2-214-2-2-2-21-2-2411-2-2-2-2-2-21-2-21111-2-21111100-4-4000000000000000000022-1-122-1-1000000000000000000000000
χ574444-2-2-4-4-2-24-4-4-2-214-2-2-2-2122-4-1-12222221-2-2111122-1-1-1-1-100000000000000000000000003-3003-3000000000000000000000000
χ584444-2-2-4-4-2-24-4-4-2-214-2-2-2-2122-4-1-12222221-2-2111122-1-1-1-1-10000000000000000000000000-3300-33000000000000000000000000
χ59444-24-2444-2-2-2-2-21-2-24-2-21-24-2-2-2-24-2-2-2111-21-2111-21-21111000000440000-2-2-2-2000000000000000000000-211-211000000000000
χ60444-24-2444-2-2-2-2-21-2-24-2-21-24-2-2-2-24-2-2-2111-21-2111-21-21111000000-4-4000022220000000000000000000002-1-12-1-1000000000000
χ61444-24-2-4-44-2-222-21-2-24-2-21-2-42222-4222-1-11-21-21112-12-1-1-1-100000000000023−2323−230000000000000000000000−330−33000000000000
χ62444-24-2-4-44-2-222-21-2-24-2-21-2-42222-4222-1-11-21-21112-12-1-1-1-1000000000000−2323−232300000000000000000000003−303−3000000000000
χ63444-2-2444-24-2-2-21-2-2-2-241-2-2-24-2-2-2-2411-2-211-2-21111-2-2111100004400-2-2-2-20000000000000000000-211-211000000000000000000
χ64444-2-2444-24-2-2-21-2-2-2-241-2-2-24-2-2-2-2411-2-211-2-21111-2-211110000-4-400222200000000000000000002-1-12-1-1000000000000000000
χ65444-2-24-4-4-24-2221-2-2-2-241-2-22-42222-4-1-12211-2-2111-122-1-1-1-10000000023−2323−2300000000000000000000−330−33000000000000000000
χ66444-2-24-4-4-24-2221-2-2-2-241-2-22-42222-4-1-12211-2-2111-122-1-1-1-100000000−2323−2323000000000000000000003−303−3000000000000000000
χ6744-444-24-44-24-4-44-2-2-4-424-2-24-24-2-2-42-4-422-2-42222-24-2222-2-20000000000000000000000000000000000000000000000000000000
χ6844-44-244-4-244-4-4-24-2-42-4-24-2-244-2-22-422-4-4-22-4222-2-24222-2-20000000000000000000000000000000000000000000000000000000
χ6944-44-2-24-4-2-24-4-4-2-21-422-2-21-2-2411222222122-1-1-11-2-2-1-1-11100000000000000000000000003-300-33000000000000000000000000
χ7044-44-2-24-4-2-24-4-4-2-21-422-2-21-2-2411222222122-1-1-11-2-2-1-1-1110000000000000000000000000-33003-3000000000000000000000000
χ7144-44-2-2-44-2-2444-2-21-422-2-2122-4-1-1-2-2-2-2-2-2122-1-1-1122111-1-1004-40000000000000000000-2-21122-1-1000000000000000000000000
χ7244-44-2-2-44-2-2444-2-21-422-2-2122-4-1-1-2-2-2-2-2-2122-1-1-1122111-1-100-44000000000000000000022-1-1-2-211000000000000000000000000
χ7344-4-24-24-44-2-222-21-22-42-21-24-2-2-2-2-4222-1-112-12-1-11-212-1-11100000000000023−23−23230000000000000000000000−3303−3000000000000
χ7444-4-24-24-44-2-222-21-22-42-21-24-2-2-2-2-4222-1-112-12-1-11-212-1-111000000000000−232323−2300000000000000000000003−30−33000000000000
χ7544-4-24-2-444-2-2-2-2-21-22-42-21-2-422224-2-2-21112-12-1-112-1-211-1-10000004-40000-2-222000000000000000000000-2112-1-1000000000000
χ7644-4-24-2-444-2-2-2-2-21-22-42-21-2-422224-2-2-21112-12-1-112-1-211-1-1000000-44000022-2-20000000000000000000002-1-1-211000000000000
χ7744-4-2-244-4-24-2221-2-222-41-2-2-24-2-2-22-4-1-1221-122-1-111-22-1-1110000000023−23−232300000000000000000000−3303−3000000000000000000
χ7844-4-2-244-4-24-2221-2-222-41-2-2-24-2-2-22-4-1-1221-122-1-111-22-1-11100000000−232323−23000000000000000000003−30−33000000000000000000
χ7944-4-2-24-44-24-2-2-21-2-222-41-2-22-4222-2411-2-21-122-1-11-12-211-1-100004-400-2-2220000000000000000000-2112-1-1000000000000000000
χ8044-4-2-24-44-24-2-2-21-2-222-41-2-22-4222-2411-2-21-122-1-11-12-211-1-10000-440022-2-200000000000000000002-1-1-211000000000000000000
χ814-4044400-4-4-400444000-4-4-400000000000400000-400000004-4000000000000000004-40000000000000000000000000000000000
χ824-4044400-4-4-400444000-4-4-400000000000400000-40000000-4400000000000000000-440000000000000000000000000000000000
χ834-40-24400-4-4223−23-2-2400022-4000000023−2323−23-200000200023−23004-400000000000000000-2223−2300000000000000000000000000000000
χ844-40-24400-4-4223−23-2-2400022-4000000023−2323−23-200000200023−2300-44000000000000000002-2−232300000000000000000000000000000000
χ854-40-24400-4-42−2323-2-2400022-40000000−2323−2323-2000002000−2323004-400000000000000000-22−232300000000000000000000000000000000
χ864-40-24400-4-42−2323-2-2400022-40000000−2323−2323-2000002000−232300-44000000000000000002-223−2300000000000000000000000000000000
χ87888-4-4-488-4-4-4-4-4222-4-4-4222-4-4-422-4-42222-1222-1-1-1222-1-1-1-10000000000000000000000000000000000000000000000000000000
χ88888-4-4-4-8-8-4-4-444222-4-4-4222444-2-244-2-2-2-2-1222-1-1-1-2-2-211110000000000000000000000000000000000000000000000000000000
χ8988-8-4-4-48-8-4-4-444222444222-4-4-42244-2-2-2-2-1-2-2-211-122-211-1-10000000000000000000000000000000000000000000000000000000
χ9088-8-4-4-4-88-4-4-4-4-4222444222444-2-2-4-42222-1-2-2-211-1-2-22-1-1110000000000000000000000000000000000000000000000000000000
χ918-8088-400-84-8008-4-4000-84400000000000-400000400000000000000000000000000000000000000000000000000000000000000
χ928-808-48004-8-800-48-40004-8400000000000-400000400000000000000000000000000000000000000000000000000000000000000
χ938-808-4-40044-800-4-4200044-20006i−6i000000200000-2000006i−6i0000000000000000000000000000000000000000000000000000000
χ948-808-4-40044-800-4-4200044-2000−6i6i000000200000-200000−6i6i0000000000000000000000000000000000000000000000000000000
χ958-80-48-400-84443−43-42-40004-24000000043−43−2323200000-2000−2323000000000000000000000000000000000000000000000000000000000
χ968-80-48-400-844−4343-42-40004-240000000−434323−23200000-200023−23000000000000000000000000000000000000000000000000000000000
χ978-80-4-48004-8443−432-4-4000-2440000000−232343−43200000-2000−2323000000000000000000000000000000000000000000000000000000000
χ988-80-4-48004-84−43432-4-4000-244000000023−23−4343200000-200023−23000000000000000000000000000000000000000000000000000000000
χ998-80-4-4-40044443−43222000-2-2-20006i−6i00−2323−2323-1000−3i33i310003−3−3i3i0000000000000000000000000000000000000000000000000000000
χ1008-80-4-4-40044443−43222000-2-2-2000−6i6i00−2323−2323-10003i3−3i310003−33i−3i0000000000000000000000000000000000000000000000000000000
χ1018-80-4-4-400444−4343222000-2-2-20006i−6i0023−2323−23-10003i3−3i31000−33−3i3i0000000000000000000000000000000000000000000000000000000
χ1028-80-4-4-400444−4343222000-2-2-2000−6i6i0023−2323−23-1000−3i33i31000−333i−3i0000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).