Finite Group Databasebeta

← Group #13181281

Character table — Group #13181281

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size11222222222333333444444444444444666666666666666666666888888888889999991212121212121212121212121212121212121212121212121616161818181818181818181818181818182424242424242424242727363636363636363636545454
order1222333466644444433366666666612121222244444412121212121212121212121236666666121212222222666666121212121212121212121212121212121212661222222244466666666612121212121244666666121212244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111-1-111111111111111111-11111-1-111111111-1-1-1-11111111111111-1-1-1-11111-1-111111111-1-1-1-11111-1-111111-1-1-1-11-1-111-1-1-1-111-11111-1-1-1-111-1-1-1-11-1-1-1-1-1
χ31111111111111-1-1111111111111111111-1111-1-1111111-1-1-1-1111111111111111-1-111-1-111-1-1111111-1-1-1-1111111-1-111111-1-111-1-1-11-1-1-111-1-11-1111-1-111-1-1-1-111-1-1-11-1-1-1-1
χ41111111111111-1-1-1-11111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-111-1-11-1-1-1-1111-1-111-1-1-1-111-1-1-1-111-1-11111
χ511111111111-1-11111111111111111111-111-1-11111-1-1-1-11111111111111111111-1-1-1-111-1-11111-1-1-1-111111111-1-11111111-1-1-1-111-1-11-1-1-1-111-111-1-11111-1-1-1-1-1-111-1-11-1-1-1
χ611111111111-1-111-1-1111111111111111-11-1-1-111-1-1-1-1-1-11111-1-1-1-111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111-1-111-1-1-11-1-1-111-1-1-11-1-1-111-1-111-1-111-1-1-11-1111
χ711111111111-1-1-1-111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-11-1-111-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11-1-1111
χ811111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1
χ9111-1111-1111111111111111-1-1-1111-1-1-1-1-1-11-11-11-11111111111111111-1-1-11-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-11111111-1-11-11-11-1-1-1-1111111-1-1-11-11-11-1111-11-11-1-1-1-1-11-1
χ10111-1111-11111111-1-1111111-1-1-1111-1-1-1-1-111-11-1-1111111111-1-1-1-11111-1-1-11-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-11-1-11-1-11-11-11111-1-1-1-1-1-111-11-1-11-1-11-1-11-11-1111-11
χ11111-1111-111111-1-111111111-1-1-1111-1-1-1-11-11-1-111-11111-1-1-1-111111111-1-1-11-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-111-1-1111-1-1-111-1-111-11-1-111-1-1-11-11-1-111-1-1-1-111-1-111-111-11
χ12111-1111-111111-1-1-1-1111111-1-1-1111-1-1-1-1111-1-11-111111-1-1-1-1-1-1-1-11111-1-1-11-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-11111-1-1-1-11-1-1-11-111-111-1-1-1-1-111-1111-1-11-1111-11-111-111-1-11-1
χ13111-1111-1111-1-11111111111-1-1-1111-1-1-11-1-1-111-11-1-1-1-1-1111111111111-1-1-11-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111111-1-1-11-111-111-1-1-1-1-1111-1-1-111-11-1-1-1-11-111-111-11-11
χ14111-1111-1111-1-111-1-1111111-1-1-1111-1-1-11-11-111-1-11-1-1-1-11111-1-1-1-11111-1-1-11-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-11-1-1-111-1-111-11-1-111-1-11-11-111-1-1111-111-1-111-11-11-1
χ15111-1111-1111-1-1-1-111111111-1-1-1111-1-1-111-1-11-111-1-1-1-1-1-1-1-1-111111111-1-1-11-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1111-1-11-1-11-11-11111-1-1-1-111-1-11-111-1111-1-11-11-111-11-1
χ16111-1111-1111-1-1-1-1-1-1111111-1-1-1111-1-1-1111-11-11-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-1-1111111111111-1-111-1-111-1-111-1-1-1-1-1-11-1-11-11-11-1-1-1-1111111111-11-11-11-1-11-11-11-1-1-1-11-11
χ1711-11111-1111111111111-1-1-1111111-1-1-1-1-1-1-11-11-111111111111111-1-1-11111-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111111111-11-1-11-11-11-1-1-1111111-1-1-1-11-11-1111-11-11-11-1-1-1-1-11
χ1811-11111-11111111-1-1111-1-1-1111111-1-1-1-1-11-11-111-111111111-1-1-1-11-1-1-11111-1-1-111-1-1-1-1-1-1-1-111-1-111-1-11111-1-11111-1-1-11-1-111-11-1-11111-1-1-1-1-1-11-11-111-1-1-1-111-11-1-11111-1
χ1911-11111-111111-1-111111-1-1-1111111-1-1-1-11-1-111-1-111111-1-1-1-111111-1-1-11111-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-11-11-1-111-11-11-1-111-1-1-11-1-111-1-11-1-11-1-111-11-1111-1
χ2011-11111-111111-1-1-1-1111-1-1-1111111-1-1-1-111-111-11-11111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-1-111-1-11111-1-11111-1-111-1-111-1-1-1-1-11-11-11-1-1111-1-1-1-1-111-111-111-11-1111-11-1-1111-1-1-11
χ2111-11111-1111-1-11111111-1-1-1111111-1-1-11-1-11-1-11-11-1-1-1-1111111111-1-1-11111-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-11111-11-11-11-1-1111-1-1-1-1-1111-1-11-1-11-11-1-11-11-1-1111-111-1
χ2211-11111-1111-1-111-1-1111-1-1-1111111-1-1-11-111-1-111-1-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-11-11-1-111-11-11-1-111-1-11-111-1-111-1111-1-111-11-11-1-11
χ2311-11111-1111-1-1-1-111111-1-1-1111111-1-1-111-11-11-1-11-1-1-1-1-1-1-1-111111-1-1-11111-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-111-11-1-111-11-1-11111-1-1-1-111-11-11-1-1111-111-11-1-111-1-11
χ2411-11111-1111-1-1-1-1-1-1111-1-1-1111111-1-1-11111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-11-1-11-11-11-1-1-11111111111-11-11-1-1-1-11-11-11-1-1-111-1
χ2511-1-11111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ2611-1-111111111111-1-1111-1-1-1-1-1-111111111-1-1-1-1-11111111111-1-1-1-11-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-111111-1-111-1-1-1-111-1-1-1-1-111-1-1-1-111111-1-1-111
χ2711-1-1111111111-1-111111-1-1-1-1-1-11111111-11-1-111-1-11111-1-1-1-111111-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-11111-1-1-1-111-1-111-1-1111-1-111-11-1-1-111-1-11-11-1-111-1-1-1-111-1-111-11-1-111
χ2811-1-1111111111-1-1-1-1111-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111-1-1-1-11-1-1-1-1111-1-1-1-11111111111-1-1-1-111-1-1
χ2911-1-11111111-1-11111111-1-1-1-1-1-1111111-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-1-11-1-1-1-111-11111-1-1-1-1-1-11111-1-1-1-11-111
χ3011-1-11111111-1-111-1-1111-1-1-1-1-1-1111111-11-111-1-111-1-1-1-11111-1-1-1-11-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-1111-1-111-11-1-1-111-1-1-11-111-1-1111111-1-111-11-11-1-1
χ3111-1-11111111-1-1-1-111111-1-1-1-1-1-1111111-1-111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11-1-111111-1-111-1-1-1-1-1-111111-1-111-1-111111-1-11-1-1
χ3211-1-11111111-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111111-1-1-1111111-1-1-1-1-1-1-1-1111-111
χ33222222-1222-10022222-1-122-122-12-1-122-1022002222000022-1-122-1-1-12-1-12-1-1-12-1-1000022002-12-100002-12-12-12-100-1-1-1-1-1-1-10000220020000-1-10-1-100-1-1-1-1000000-1-100-1000
χ34222222-1222-10022-2-22-1-122-122-12-1-122-102-20022-2-2000022-1-1-2-211-12-1-12-1-1-12-1-10000-2-2002-1-2100002-12-1-21-2100-1-111-1-1-10000-2-200-20000110-1100-1-11100000011001000
χ35222222-1222-100-2-2222-1-122-122-12-1-122-10-2200-2-2220000-2-21122-1-1-12-1-12-1-1-12-1-10000-2-200-212-10000-21-212-12-10011-1-1-1-1-10000-2-200-200001101-10011-1-100000011001000
χ36222222-1222-100-2-2-2-22-1-122-122-12-1-122-10-2-200-2-2-2-20000-2-211-2-211-12-1-12-1-1-12-1-100002200-21-210000-21-21-21-21001111-1-1-10000220020000-1-1011001111000000-1-100-1000
χ3722222-1222-12220022-12-12-122-12-12-12-1220222002222-1-10000-1-122-1-12-1-12-1-1-12-10022002-100-122-12-10000-12-12-1-100-1-1-1-1-100220002000-1-100-10-1-1-100-1-10000-1-1000-10000
χ3822222-1222-122200-2-2-12-12-122-12-12-12-1220-22200-2-222-1-1000011-2-2-1-12-1-12-1-1-12-100-2-2002-1001-22-12-100001-21-2-1-10011-1-1-100-2-2000-20001100-101-1-1001100001100010000
χ3922222-1222-12-2-20022-12-12-122-12-12-12-12-202-2-20022-2-2110000-1-122-1-12-1-12-1-1-12-100-2-200-2100-12-21-210000-12-121100-1-1-1-1-100-2-2000-2000110010-11100-1-100001100010000
χ4022222-1222-12-2-200-2-2-12-12-122-12-12-12-12-20-2-2-200-2-2-2-211000011-2-2-1-12-1-12-1-1-12-1002200-21001-2-21-2100001-21-2110011-1-1-100220002000-1-1001011100110000-1-1000-10000
χ412222-1222-122222200-1-12-122-122-1-12-122220222200-1-122-1-1220000-1-1-12-1-12-1-1-12220000-12-1200-12-12-12-120000-1-1-1-100-1-1-1220000200-1-10000-1-10-1-1-1-10000-1-10000-100000
χ422222-1222-12222-2-200-1-12-122-122-1-12-1222-2022-2-200-1-12211-2-20000-1-1-12-1-12-1-1-12-2-20000-121-200-12-121-21-20000-1-11100-1-1-1-2-20000-200110000-110-1-1110000110000100000
χ432222-1222-122-2-22200-1-12-122-122-1-12-122-220-2-2220011-2-2-1-1220000-1-1-12-1-12-1-1-12-2-200001-2-12001-21-2-12-12000011-1-100-1-1-1-2-20000-2001100001-1011-1-10000110000100000
χ442222-1222-122-2-2-2-200-1-12-122-122-1-12-122-2-20-2-2-2-20011-2-211-2-20000-1-1-12-1-12-1-1-122200001-21-2001-21-21-21-20000111100-1-1-1220000200-1-1000011011110000-1-10000-100000
χ45222-222-1-222-10022222-1-122-1-2-212-1-1-2-210-2-2002-22-2000022-1-122-1-1-12-1-1-211-1-21100002200-21-2100002-1-212-1-2100-1-1-1-1-11100002-200-20000-1-101100-11-11000000-11001000
χ46222-222-1-222-10022-2-22-1-122-1-2-212-1-1-2-210-22002-2-22000022-1-1-2-211-12-1-1-211-1-2110000-2-200-212-100002-1-21-212-100-1-111-1110000-2200200001101-100-111-10000001-100-1000
χ47222-222-1-222-100-2-2222-1-122-1-2-212-1-1-2-2102-200-222-20000-2-21122-1-1-12-1-1-211-1-2110000-2-2002-1-210000-212-12-1-210011-1-1-1110000-220020000110-11001-1-110000001-100-1000
χ48222-222-1-222-100-2-2-2-22-1-122-1-2-212-1-1-2-2102200-22-220000-2-211-2-211-12-1-1-211-1-211000022002-12-10000-212-1-212-1001111-11100002-200-20000-1-10-1-1001-11-1000000-11001000
χ49222-22-12-22-12220022-12-12-12-21-2-12-1-21-2-20-22-2002-222-1-10000-1-122-1-12-11-21-11-21002200-21001-22-1-210000-121-2-1-100-1-1-111002-2000-2000-1-100101-1100-110000-1100010000
χ50222-22-12-22-122200-2-2-12-12-12-21-2-12-1-21-2-2022-200-2222-1-1000011-2-2-1-12-11-21-11-2100-2-200-2100-122-1-2100001-2-12-1-10011-11100-220002000110010-1-11001-100001-1000-10000
χ51222-22-12-22-12-2-20022-12-12-12-21-2-12-1-21-220-2-22002-2-2-2110000-1-122-1-12-11-21-11-2100-2-2002-1001-2-212-10000-121-21100-1-1-11100-2200020001100-1011-100-1100001-1000-10000
χ52222-22-12-22-12-2-200-2-2-12-12-12-21-2-12-1-21-2202-2200-22-2-211000011-2-2-1-12-11-21-11-210022002-100-12-212-100001-2-12110011-111002-2000-2000-1-100-10-11-1001-10000-1100010000
χ53222-2-122-2-122222200-1-12-1221-2-2-1-121-2-2-2-202-22-200-1-122-1-1220000-1-1-1211-2-111-22200001-21-200-121-2-121-20000-1-1-1-100-1112-20000-200-1-10000110-11-110000-110000100000
χ54222-2-122-2-12222-2-200-1-12-1221-2-2-1-121-2-2-2202-2-2200-1-12211-2-20000-1-1-1211-2-111-2-2-200001-2-1200-121-21-2-120000-1-11100-111-2200002001100001-10-111-100001-10000-100000
χ55222-2-122-2-122-2-22200-1-12-1221-2-2-1-121-2-22-20-222-20011-2-2-1-1220000-1-1-1211-2-111-2-2-20000-121-2001-2-12-121-2000011-1-100-111-220000200110000-1101-1-1100001-10000-100000
χ56222-2-122-2-122-2-2-2-200-1-12-1221-2-2-1-121-2-2220-22-220011-2-211-2-20000-1-1-1211-2-111-2220000-12-12001-2-121-2-120000111100-1112-20000-200-1-10000-1-101-11-10000-110000100000
χ5722-2222-1-222-10022222-1-1-2-2122-12-1-1-2-210-2-200-22-22000022-1-122-1-1-1-2112-1-1-1-21100002200-21-210000-212-1-212-100-1-1-1-11-110000-2200-20000-1-1011001-11-10000001-1001000
χ5822-2222-1-222-10022-2-22-1-1-2-2122-12-1-1-2-210-2200-222-2000022-1-1-2-211-1-2112-1-1-1-2110000-2-200-212-10000-212-12-1-2100-1-1111-1100002-200200001101-1001-1-11000000-1100-1000
χ5922-2222-1-222-100-2-2222-1-1-2-2122-12-1-1-2-2102-2002-2-220000-2-21122-1-1-1-2112-1-1-1-2110000-2-2002-1-2100002-1-21-212-10011-1-11-1100002-20020000110-1100-111-1000000-1100-1000
χ6022-2222-1-222-100-2-2-2-22-1-1-2-2122-12-1-1-2-21022002-22-20000-2-211-2-211-1-2112-1-1-1-211000022002-12-100002-1-212-1-210011111-110000-2200-20000-1-10-1-100-11-110000001-1001000
χ6122-222-12-22-12220022-12-1-21-22-12-12-1-21-2-20-2-2200-2222-1-10000-1-122-11-21-12-1-11-21002200-21001-2-212-100001-2-12-1-100-1-11-1100-22000-2000-1-1001011-1001-100001-100010000
χ6222-222-12-22-122200-2-2-12-1-21-22-12-12-1-21-2-202-22002-222-1-1000011-2-2-11-21-12-1-11-2100-2-200-2100-12-212-10000-121-2-1-100111-11002-20002000110010-11-100-110000-11000-10000
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χ6422-222-12-22-12-2-200-2-2-12-1-21-22-12-12-1-21-22022-2002-2-2-211000011-2-2-11-21-12-1-11-210022002-100-122-1-210000-121-21100111-1100-22000-2000-1-100-10-1-1100-1100001-100010000
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χ13516-1600-8-8-80888000000444000000-4-4-4000000000000000000000000-2000000200000000000000000000000000000000000000000000000000000000000000000000000000

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