Finite Group Databasebeta

← Group #13178740

Character table — Group #13178740

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size112222224444444444181818181818181818112222224444444444181818181818181818224444448888888888363636363636363636224444448888888888363636363636363636224444448888888888363636363636363636
order1233366633333666662246666121222666666666666666622466661212441212121212121212121212121212121244412121212121244121212121212121212121212121212124441212121212124412121212121212121212121212121212444121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111-1-111-1-1-1-11111111111111111111-1-111-1-1-1-11111111111111111111-1-111-1-1-1-11111111111111111111-1-111-1-1-1-11111111111111111111-1-111-1-1-1-1
χ3111111111111111111-11-1-1-111-1-1111111111111111111-11-1-1-111-1-1111111111111111111-11-1-1-111-1-1111111111111111111-11-1-1-111-1-1111111111111111111-11-1-1-111-1-1
χ4111111111111111111-1-11-1-1-1-111111111111111111111-1-11-1-1-1-111111111111111111111-1-11-1-1-1-111111111111111111111-1-11-1-1-1-111111111111111111111-1-11-1-1-1-111
χ52222-12-122-1-1-1-12-1-1-1-102000-1-1002222-12-122-1-1-1-12-1-1-1-102000-1-1002222-12-122-1-1-1-12-1-1-1-102000-1-1002222-12-122-1-1-1-12-1-1-1-102000-1-1002222-12-122-1-1-1-12-1-1-1-102000-1-100
χ62222-12-122-1-1-1-12-1-1-1-10-200011002222-12-122-1-1-1-12-1-1-1-10-200011002222-12-122-1-1-1-12-1-1-1-10-200011002222-12-122-1-1-1-12-1-1-1-10-200011002222-12-122-1-1-1-12-1-1-1-10-20001100
χ7222-12-122-12-1-1-1-12-1-1-1200-1-10000222-12-122-12-1-1-1-12-1-1-1200-1-10000222-12-122-12-1-1-1-12-1-1-1200-1-10000222-12-122-12-1-1-1-12-1-1-1200-1-10000222-12-122-12-1-1-1-12-1-1-1200-1-10000
χ8222-12-122-12-1-1-1-12-1-1-1-200110000222-12-122-12-1-1-1-12-1-1-1-200110000222-12-122-12-1-1-1-12-1-1-1-200110000222-12-122-12-1-1-1-12-1-1-1-200110000222-12-122-12-1-1-1-12-1-1-1-200110000
χ922-12222-1-1-12-1-1-1-12-1-10020000-1-122-12222-1-1-12-1-1-1-12-1-10020000-1-122-12222-1-1-12-1-1-1-12-1-10020000-1-122-12222-1-1-12-1-1-1-12-1-10020000-1-122-12222-1-1-12-1-1-1-12-1-10020000-1-1
χ1022-12222-1-1-12-1-1-1-12-1-100-200001122-12222-1-1-12-1-1-1-12-1-100-200001122-12222-1-1-12-1-1-1-12-1-100-200001122-12222-1-1-12-1-1-1-12-1-100-200001122-12222-1-1-12-1-1-1-12-1-100-2000011
χ112-2222-2-2-222222-2-2-2-2-20000000002-2222-2-2-222222-2-2-2-2-20000000002-2222-2-2-222222-2-2-2-2-20000000002-2222-2-2-222222-2-2-2-2-20000000002-2222-2-2-222222-2-2-2-2-2000000000
χ122-222-1-21-22-1-1-1-1-2111100000−i3i3002-222-1-21-22-1-1-1-1-2111100000−i3i3002-222-1-21-22-1-1-1-1-2111100000−i3i3002-222-1-21-22-1-1-1-1-2111100000−i3i3002-222-1-21-22-1-1-1-1-2111100000−i3i300
χ132-222-1-21-22-1-1-1-1-2111100000i3−i3002-222-1-21-22-1-1-1-1-2111100000i3−i3002-222-1-21-22-1-1-1-1-2111100000i3−i3002-222-1-21-22-1-1-1-1-2111100000i3−i3002-222-1-21-22-1-1-1-1-2111100000i3−i300
χ142-22-121-2-2-12-1-1-11-2111000−i3i300002-22-121-2-2-12-1-1-11-2111000−i3i300002-22-121-2-2-12-1-1-11-2111000−i3i300002-22-121-2-2-12-1-1-11-2111000−i3i300002-22-121-2-2-12-1-1-11-2111000−i3i30000
χ152-22-121-2-2-12-1-1-11-2111000i3−i300002-22-121-2-2-12-1-1-11-2111000i3−i300002-22-121-2-2-12-1-1-11-2111000i3−i300002-22-121-2-2-12-1-1-11-2111000i3−i300002-22-121-2-2-12-1-1-11-2111000i3−i30000
χ162-2-122-2-21-1-12-1-111-21100000003−32-2-122-2-21-1-12-1-111-21100000003−32-2-122-2-21-1-12-1-111-21100000003−32-2-122-2-21-1-12-1-111-21100000003−32-2-122-2-21-1-12-1-111-21100000003−3
χ172-2-122-2-21-1-12-1-111-2110000000−332-2-122-2-21-1-12-1-111-2110000000−332-2-122-2-21-1-12-1-111-2110000000−332-2-122-2-21-1-12-1-111-2110000000−332-2-122-2-21-1-12-1-111-2110000000−33
χ18444-2-2-2-24-2-2111-2-2111000000000444-2-2-2-24-2-2111-2-2111000000000444-2-2-2-24-2-2111-2-2111000000000444-2-2-2-24-2-2111-2-2111000000000444-2-2-2-24-2-2111-2-2111000000000
χ1944-24-24-2-2-21-211-21-21100000000044-24-24-2-2-21-211-21-21100000000044-24-24-2-2-21-211-21-21100000000044-24-24-2-2-21-211-21-21100000000044-24-24-2-2-21-211-21-211000000000
χ2044-2-24-24-21-2-2111-2-21100000000044-2-24-24-21-2-2111-2-21100000000044-2-24-24-21-2-2111-2-21100000000044-2-24-24-21-2-2111-2-21100000000044-2-24-24-21-2-2111-2-211000000000
χ2144-2-2-2-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i3200000000044-2-2-2-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i3200000000044-2-2-2-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i3200000000044-2-2-2-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i3200000000044-2-2-2-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i32000000000
χ2244-2-2-2-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i3200000000044-2-2-2-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i3200000000044-2-2-2-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i3200000000044-2-2-2-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i3200000000044-2-2-2-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i32000000000
χ234-44-2-222-4-2-211122-1-1-10000000004-44-2-222-4-2-211122-1-1-10000000004-44-2-222-4-2-211122-1-1-10000000004-44-2-222-4-2-211122-1-1-10000000004-44-2-222-4-2-211122-1-1-1000000000
χ244-4-24-2-422-21-2112-12-1-10000000004-4-24-2-422-21-2112-12-1-10000000004-4-24-2-422-21-2112-12-1-10000000004-4-24-2-422-21-2112-12-1-10000000004-4-24-2-422-21-2112-12-1-1000000000
χ254-4-2-242-421-2-211-122-1-10000000004-4-2-242-421-2-211-122-1-10000000004-4-2-242-421-2-211-122-1-10000000004-4-2-242-421-2-211-122-1-10000000004-4-2-242-421-2-211-122-1-1000000000
χ264-4-2-2-2222111−1−3i32−1+3i32-1-1-11+3i321−3i320000000004-4-2-2-2222111−1−3i32−1+3i32-1-1-11+3i321−3i320000000004-4-2-2-2222111−1−3i32−1+3i32-1-1-11+3i321−3i320000000004-4-2-2-2222111−1−3i32−1+3i32-1-1-11+3i321−3i320000000004-4-2-2-2222111−1−3i32−1+3i32-1-1-11+3i321−3i32000000000
χ274-4-2-2-2222111−1+3i32−1−3i32-1-1-11−3i321+3i320000000004-4-2-2-2222111−1+3i32−1−3i32-1-1-11−3i321+3i320000000004-4-2-2-2222111−1+3i32−1−3i32-1-1-11−3i321+3i320000000004-4-2-2-2222111−1+3i32−1−3i32-1-1-11−3i321+3i320000000004-4-2-2-2222111−1+3i32−1−3i32-1-1-11−3i321+3i32000000000
χ28111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ291111111111111111111-1-111-1-1-1-11111111111111111111-1-111-1-1-1-11111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ30111111111111111111-11-1-1-111-1-1111111111111111111-11-1-1-111-1-1111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111
χ31111111111111111111-1-11-1-1-1-111111111111111111111-1-11-1-1-1-111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1
χ322222-12-122-1-1-1-12-1-1-1-102000-1-1002222-12-122-1-1-1-12-1-1-1-102000-1-1002222-12-122-1-1-1-12-1-1-1-102000-1-100-2-2-2-21-21-2-21111-211110-20001100-2-2-2-21-21-2-21111-211110-20001100
χ332222-12-122-1-1-1-12-1-1-1-10-200011002222-12-122-1-1-1-12-1-1-1-10-200011002222-12-122-1-1-1-12-1-1-1-10-20001100-2-2-2-21-21-2-21111-2111102000-1-100-2-2-2-21-21-2-21111-2111102000-1-100
χ34222-12-122-12-1-1-1-12-1-1-1200-1-10000222-12-122-12-1-1-1-12-1-1-1200-1-10000222-12-122-12-1-1-1-12-1-1-1200-1-10000-2-2-21-21-2-21-21111-2111-200110000-2-2-21-21-2-21-21111-2111-200110000
χ35222-12-122-12-1-1-1-12-1-1-1-200110000222-12-122-12-1-1-1-12-1-1-1-200110000222-12-122-12-1-1-1-12-1-1-1-200110000-2-2-21-21-2-21-21111-2111200-1-10000-2-2-21-21-2-21-21111-2111200-1-10000
χ3622-12222-1-1-12-1-1-1-12-1-10020000-1-122-12222-1-1-12-1-1-1-12-1-10020000-1-122-12222-1-1-12-1-1-1-12-1-10020000-1-1-2-21-2-2-2-2111-21111-21100-2000011-2-21-2-2-2-2111-21111-21100-2000011
χ3722-12222-1-1-12-1-1-1-12-1-100-200001122-12222-1-1-12-1-1-1-12-1-100-200001122-12222-1-1-12-1-1-1-12-1-100-2000011-2-21-2-2-2-2111-21111-2110020000-1-1-2-21-2-2-2-2111-21111-2110020000-1-1
χ382-2222-2-2-222222-2-2-2-2-20000000002-2222-2-2-222222-2-2-2-2-20000000002-2222-2-2-222222-2-2-2-2-2000000000-22-2-2-2222-2-2-2-2-222222000000000-22-2-2-2222-2-2-2-2-222222000000000
χ392-222-1-21-22-1-1-1-1-2111100000−i3i3002-222-1-21-22-1-1-1-1-2111100000−i3i3002-222-1-21-22-1-1-1-1-2111100000−i3i300-22-2-212-12-211112-1-1-1-100000i3−i300-22-2-212-12-211112-1-1-1-100000i3−i300
χ402-222-1-21-22-1-1-1-1-2111100000i3−i3002-222-1-21-22-1-1-1-1-2111100000i3−i3002-222-1-21-22-1-1-1-1-2111100000i3−i300-22-2-212-12-211112-1-1-1-100000−i3i300-22-2-212-12-211112-1-1-1-100000−i3i300
χ412-22-121-2-2-12-1-1-11-2111000−i3i300002-22-121-2-2-12-1-1-11-2111000−i3i300002-22-121-2-2-12-1-1-11-2111000−i3i30000-22-21-2-1221-2111-12-1-1-1000i3−i30000-22-21-2-1221-2111-12-1-1-1000i3−i30000
χ422-22-121-2-2-12-1-1-11-2111000i3−i300002-22-121-2-2-12-1-1-11-2111000i3−i300002-22-121-2-2-12-1-1-11-2111000i3−i30000-22-21-2-1221-2111-12-1-1-1000−i3i30000-22-21-2-1221-2111-12-1-1-1000−i3i30000
χ432-2-122-2-21-1-12-1-111-21100000003−32-2-122-2-21-1-12-1-111-21100000003−32-2-122-2-21-1-12-1-111-21100000003−3-221-2-222-111-211-1-12-1-10000000−33-221-2-222-111-211-1-12-1-10000000−33
χ442-2-122-2-21-1-12-1-111-2110000000−332-2-122-2-21-1-12-1-111-2110000000−332-2-122-2-21-1-12-1-111-2110000000−33-221-2-222-111-211-1-12-1-100000003−3-221-2-222-111-211-1-12-1-100000003−3
χ45444-2-2-2-24-2-2111-2-2111000000000444-2-2-2-24-2-2111-2-2111000000000444-2-2-2-24-2-2111-2-2111000000000-4-4-42222-422-1-1-122-1-1-1000000000-4-4-42222-422-1-1-122-1-1-1000000000
χ4644-24-24-2-2-21-211-21-21100000000044-24-24-2-2-21-211-21-21100000000044-24-24-2-2-21-211-21-211000000000-4-42-42-4222-12-1-12-12-1-1000000000-4-42-42-4222-12-1-12-12-1-1000000000
χ4744-2-24-24-21-2-2111-2-21100000000044-2-24-24-21-2-2111-2-21100000000044-2-24-24-21-2-2111-2-211000000000-4-422-42-42-122-1-1-122-1-1000000000-4-422-42-42-122-1-1-122-1-1000000000
χ4844-2-2-2-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i3200000000044-2-2-2-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i3200000000044-2-2-2-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i32000000000-4-4222222-1-1-11+3i321−3i32-1-1-11+3i321−3i32000000000-4-4222222-1-1-11+3i321−3i32-1-1-11+3i321−3i32000000000
χ4944-2-2-2-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i3200000000044-2-2-2-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i3200000000044-2-2-2-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i32000000000-4-4222222-1-1-11−3i321+3i32-1-1-11−3i321+3i32000000000-4-4222222-1-1-11−3i321+3i32-1-1-11−3i321+3i32000000000
χ504-44-2-222-4-2-211122-1-1-10000000004-44-2-222-4-2-211122-1-1-10000000004-44-2-222-4-2-211122-1-1-1000000000-44-422-2-2422-1-1-1-2-2111000000000-44-422-2-2422-1-1-1-2-2111000000000
χ514-4-24-2-422-21-2112-12-1-10000000004-4-24-2-422-21-2112-12-1-10000000004-4-24-2-422-21-2112-12-1-1000000000-442-424-2-22-12-1-1-21-211000000000-442-424-2-22-12-1-1-21-211000000000
χ524-4-2-242-421-2-211-122-1-10000000004-4-2-242-421-2-211-122-1-10000000004-4-2-242-421-2-211-122-1-1000000000-4422-4-24-2-122-1-11-2-211000000000-4422-4-24-2-122-1-11-2-211000000000
χ534-4-2-2-2222111−1−3i32−1+3i32-1-1-11+3i321−3i320000000004-4-2-2-2222111−1−3i32−1+3i32-1-1-11+3i321−3i320000000004-4-2-2-2222111−1−3i32−1+3i32-1-1-11+3i321−3i32000000000-44222-2-2-2-1-1-11+3i321−3i32111−1−3i32−1+3i32000000000-44222-2-2-2-1-1-11+3i321−3i32111−1−3i32−1+3i32000000000
χ544-4-2-2-2222111−1+3i32−1−3i32-1-1-11−3i321+3i320000000004-4-2-2-2222111−1+3i32−1−3i32-1-1-11−3i321+3i320000000004-4-2-2-2222111−1+3i32−1−3i32-1-1-11−3i321+3i32000000000-44222-2-2-2-1-1-11−3i321+3i32111−1+3i32−1−3i32000000000-44222-2-2-2-1-1-11−3i321+3i32111−1+3i32−1−3i32000000000
χ55111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ561111111111111111111-1-111-1-1-1-11111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ57111111111111111111-11-1-1-111-1-1111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111
χ58111111111111111111-1-11-1-1-1-111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1
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χ1348-8-4-4-4444222−1−3i3−1+3i3-2-2-21+3i31−3i3000000000-88444-4-4-4-2-2-21+3i31−3i3222−1−3i3−1+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1358-8-4-4-4444222−1+3i3−1−3i3-2-2-21−3i31+3i3000000000-88444-4-4-4-2-2-21−3i31+3i3222−1+3i3−1−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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