Finite Group Databasebeta

← Group #14326124

Character table — Group #14326124

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size112222244444444444455101010101030303030112222244444444444455101010101030303030224444488888888888810102020202020606060602244444888888888888101020202020206060606022444448888888888881010202020202060606060
order12236665101010151530303030303022266664444222666610101010303030303030303022266664444444121212122020202060606060606060604441212121244444441212121220202020606060606060606044412121212444444412121212202020206060606060606060444121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1
χ31111111111111111111-1-1-1-1-1-1-1ii−i−i1111111111111111111-1-1-1-1-1-1-1ii−i−i1111111111111111111-1-1-1-1-1-1-1ii−i−i1111111111111111111-1-1-1-1-1-1-1ii−i−i1111111111111111111-1-1-1-1-1-1-1ii−i−i
χ41111111111111111111-1-1-1-1-1-1-1−i−iii1111111111111111111-1-1-1-1-1-1-1−i−iii1111111111111111111-1-1-1-1-1-1-1−i−iii1111111111111111111-1-1-1-1-1-1-1−i−iii1111111111111111111-1-1-1-1-1-1-1−i−iii
χ511-111-1-111-1-11111-1-1-1-111-111-1-11-11-111-111-1-111-1-11111-1-1-1-111-111-1-11-11-111-111-1-111-1-11111-1-1-1-111-111-1-11-11-111-111-1-111-1-11111-1-1-1-111-111-1-11-11-111-111-1-111-1-11111-1-1-1-111-111-1-11-11-1
χ611-111-1-111-1-11111-1-1-1-111-111-1-1-11-1111-111-1-111-1-11111-1-1-1-111-111-1-1-11-1111-111-1-111-1-11111-1-1-1-111-111-1-1-11-1111-111-1-111-1-11111-1-1-1-111-111-1-1-11-1111-111-1-111-1-11111-1-1-1-111-111-1-1-11-11
χ711-111-1-111-1-11111-1-1-1-1-1-11-1-111i−i−ii11-111-1-111-1-11111-1-1-1-1-1-11-1-111i−i−ii11-111-1-111-1-11111-1-1-1-1-1-11-1-111i−i−ii11-111-1-111-1-11111-1-1-1-1-1-11-1-111i−i−ii11-111-1-111-1-11111-1-1-1-1-1-11-1-111i−i−ii
χ811-111-1-111-1-11111-1-1-1-1-1-11-1-111−iii−i11-111-1-111-1-11111-1-1-1-1-1-11-1-111−iii−i11-111-1-111-1-11111-1-1-1-1-1-11-1-111−iii−i11-111-1-111-1-11111-1-1-1-1-1-11-1-111−iii−i11-111-1-111-1-11111-1-1-1-1-1-11-1-111−iii−i
χ9222-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-10000222-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-10000222-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-10000222-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-10000222-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-10000
χ10222-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-211110000222-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-211110000222-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-211110000222-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-211110000222-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-211110000
χ1122-2-1-11122-2-2-1-1-1-1111122-2-1-111000022-2-1-11122-2-2-1-1-1-1111122-2-1-111000022-2-1-11122-2-2-1-1-1-1111122-2-1-111000022-2-1-11122-2-2-1-1-1-1111122-2-1-111000022-2-1-11122-2-2-1-1-1-1111122-2-1-1110000
χ1222-2-1-11122-2-2-1-1-1-11111-2-2211-1-1000022-2-1-11122-2-2-1-1-1-11111-2-2211-1-1000022-2-1-11122-2-2-1-1-1-11111-2-2211-1-1000022-2-1-11122-2-2-1-1-1-11111-2-2211-1-1000022-2-1-11122-2-2-1-1-1-11111-2-2211-1-10000
χ132-202-2002-20022-2-200002-202-20000002-202-2002-20022-2-200002-202-20000002-202-2002-20022-2-200002-202-20000002-202-2002-20022-2-200002-202-20000002-202-2002-20022-2-200002-202-2000000
χ142-202-2002-20022-2-20000-220-220000002-202-2002-20022-2-20000-220-220000002-202-2002-20022-2-20000-220-220000002-202-2002-20022-2-20000-220-220000002-202-2002-20022-2-20000-220-22000000
χ152-20-11−i3i32-200-1-111−i3−i3i3i32-20-11−i3i300002-20-11−i3i32-200-1-111−i3−i3i3i32-20-11−i3i300002-20-11−i3i32-200-1-111−i3−i3i3i32-20-11−i3i300002-20-11−i3i32-200-1-111−i3−i3i3i32-20-11−i3i300002-20-11−i3i32-200-1-111−i3−i3i3i32-20-11−i3i30000
χ162-20-11−i3i32-200-1-111−i3−i3i3i3-2201-1i3−i300002-20-11−i3i32-200-1-111−i3−i3i3i3-2201-1i3−i300002-20-11−i3i32-200-1-111−i3−i3i3i3-2201-1i3−i300002-20-11−i3i32-200-1-111−i3−i3i3i3-2201-1i3−i300002-20-11−i3i32-200-1-111−i3−i3i3i3-2201-1i3−i30000
χ172-20-11i3−i32-200-1-111i3i3−i3−i32-20-11i3−i300002-20-11i3−i32-200-1-111i3i3−i3−i32-20-11i3−i300002-20-11i3−i32-200-1-111i3i3−i3−i32-20-11i3−i300002-20-11i3−i32-200-1-111i3i3−i3−i32-20-11i3−i300002-20-11i3−i32-200-1-111i3i3−i3−i32-20-11i3−i30000
χ182-20-11i3−i32-200-1-111i3i3−i3−i3-2201-1−i3i300002-20-11i3−i32-200-1-111i3i3−i3−i3-2201-1−i3i300002-20-11i3−i32-200-1-111i3i3−i3−i3-2201-1−i3i300002-20-11i3−i32-200-1-111i3i3−i3−i3-2201-1−i3i300002-20-11i3−i32-200-1-111i3i3−i3−i3-2201-1−i3i30000
χ194444444-1-1-1-1-1-1-1-1-1-1-1-1000000000004444444-1-1-1-1-1-1-1-1-1-1-1-1000000000004444444-1-1-1-1-1-1-1-1-1-1-1-1000000000004444444-1-1-1-1-1-1-1-1-1-1-1-1000000000004444444-1-1-1-1-1-1-1-1-1-1-1-100000000000
χ20444-2-2-2-2-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i15200000000000444-2-2-2-2-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i15200000000000444-2-2-2-2-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i15200000000000444-2-2-2-2-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i15200000000000444-2-2-2-2-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i15200000000000
χ21444-2-2-2-2-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i15200000000000444-2-2-2-2-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i15200000000000444-2-2-2-2-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i15200000000000444-2-2-2-2-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i15200000000000444-2-2-2-2-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i15200000000000
χ2244-444-4-4-1-111-1-1-1-111110000000000044-444-4-4-1-111-1-1-1-111110000000000044-444-4-4-1-111-1-1-1-111110000000000044-444-4-4-1-111-1-1-1-111110000000000044-444-4-4-1-111-1-1-1-1111100000000000
χ2344-4-2-222-1-1111−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i1520000000000044-4-2-222-1-1111−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i1520000000000044-4-2-222-1-1111−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i1520000000000044-4-2-222-1-1111−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i1520000000000044-4-2-222-1-1111−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i15200000000000
χ2444-4-2-222-1-1111+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i1520000000000044-4-2-222-1-1111+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i1520000000000044-4-2-222-1-1111+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i1520000000000044-4-2-222-1-1111+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i1520000000000044-4-2-222-1-1111+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i15200000000000
χ254-404-400-11−55-1-111−555−5000000000004-404-400-11−55-1-111−555−5000000000004-404-400-11−55-1-111−555−5000000000004-404-400-11−55-1-111−555−5000000000004-404-400-11−55-1-111−555−500000000000
χ264-404-400-115−5-1-1115−5−55000000000004-404-400-115−5-1-1115−5−55000000000004-404-400-115−5-1-1115−5−55000000000004-404-400-115−5-1-1115−5−55000000000004-404-400-115−5-1-1115−5−5500000000000
χ274-40-22−2i32i3-11−551+i1521−i152−1−i152−1+i152ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58000000000004-40-22−2i32i3-11−551+i1521−i152−1−i152−1+i152ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58000000000004-40-22−2i32i3-11−551+i1521−i152−1−i152−1+i152ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58000000000004-40-22−2i32i3-11−551+i1521−i152−1−i152−1+i152ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58000000000004-40-22−2i32i3-11−551+i1521−i152−1−i152−1+i152ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ5800000000000
χ284-40-22−2i32i3-115−51−i1521+i152−1+i152−1−i152ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46000000000004-40-22−2i32i3-115−51−i1521+i152−1+i152−1−i152ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46000000000004-40-22−2i32i3-115−51−i1521+i152−1+i152−1−i152ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46000000000004-40-22−2i32i3-115−51−i1521+i152−1+i152−1−i152ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46000000000004-40-22−2i32i3-115−51−i1521+i152−1+i152−1−i152ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ4600000000000
χ294-40-222i3−2i3-11−551−i1521+i152−1+i152−1−i152−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46000000000004-40-222i3−2i3-11−551−i1521+i152−1+i152−1−i152−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46000000000004-40-222i3−2i3-11−551−i1521+i152−1+i152−1−i152−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46000000000004-40-222i3−2i3-11−551−i1521+i152−1+i152−1−i152−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46000000000004-40-222i3−2i3-11−551−i1521+i152−1+i152−1−i152−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ4600000000000
χ304-40-222i3−2i3-115−51+i1521−i152−1−i152−1+i152−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58000000000004-40-222i3−2i3-115−51+i1521−i152−1−i152−1+i152−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58000000000004-40-222i3−2i3-115−51+i1521−i152−1−i152−1+i152−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58000000000004-40-222i3−2i3-115−51+i1521−i152−1−i152−1+i152−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58000000000004-40-222i3−2i3-115−51+i1521−i152−1−i152−1+i152−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ5800000000000
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3211111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ331111111111111111111-1-1-1-1-1-1-1ii−i−i1111111111111111111-1-1-1-1-1-1-1ii−i−i1111111111111111111-1-1-1-1-1-1-1ii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111−i−iii
χ341111111111111111111-1-1-1-1-1-1-1−i−iii1111111111111111111-1-1-1-1-1-1-1−i−iii1111111111111111111-1-1-1-1-1-1-1−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111ii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111ii−i−i
χ3511-111-1-111-1-11111-1-1-1-111-111-1-11-11-111-111-1-111-1-11111-1-1-1-111-111-1-11-11-111-111-1-111-1-11111-1-1-1-111-111-1-11-11-1-1-11-1-111-1-111-1-1-1-11111-1-11-1-111-11-11-1-11-1-111-1-111-1-1-1-11111-1-11-1-111-11-11
χ3611-111-1-111-1-11111-1-1-1-111-111-1-1-11-1111-111-1-111-1-11111-1-1-1-111-111-1-1-11-1111-111-1-111-1-11111-1-1-1-111-111-1-1-11-11-1-11-1-111-1-111-1-1-1-11111-1-11-1-1111-11-1-1-11-1-111-1-111-1-1-1-11111-1-11-1-1111-11-1
χ3711-111-1-111-1-11111-1-1-1-1-1-11-1-111i−i−ii11-111-1-111-1-11111-1-1-1-1-1-11-1-111i−i−ii11-111-1-111-1-11111-1-1-1-1-1-11-1-111i−i−ii-1-11-1-111-1-111-1-1-1-1111111-111-1-1−iii−i-1-11-1-111-1-111-1-1-1-1111111-111-1-1−iii−i
χ3811-111-1-111-1-11111-1-1-1-1-1-11-1-111−iii−i11-111-1-111-1-11111-1-1-1-1-1-11-1-111−iii−i11-111-1-111-1-11111-1-1-1-1-1-11-1-111−iii−i-1-11-1-111-1-111-1-1-1-1111111-111-1-1i−i−ii-1-11-1-111-1-111-1-1-1-1111111-111-1-1i−i−ii
χ39222-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-10000222-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-10000222-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-10000-2-2-21111-2-2-2-211111111-2-2-211110000-2-2-21111-2-2-2-211111111-2-2-211110000
χ40222-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-211110000222-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-211110000222-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-211110000-2-2-21111-2-2-2-211111111222-1-1-1-10000-2-2-21111-2-2-2-211111111222-1-1-1-10000
χ4122-2-1-11122-2-2-1-1-1-1111122-2-1-111000022-2-1-11122-2-2-1-1-1-1111122-2-1-111000022-2-1-11122-2-2-1-1-1-1111122-2-1-1110000-2-2211-1-1-2-2221111-1-1-1-1-2-2211-1-10000-2-2211-1-1-2-2221111-1-1-1-1-2-2211-1-10000
χ4222-2-1-11122-2-2-1-1-1-11111-2-2211-1-1000022-2-1-11122-2-2-1-1-1-11111-2-2211-1-1000022-2-1-11122-2-2-1-1-1-11111-2-2211-1-10000-2-2211-1-1-2-2221111-1-1-1-122-2-1-1110000-2-2211-1-1-2-2221111-1-1-1-122-2-1-1110000
χ432-202-2002-20022-2-200002-202-20000002-202-2002-20022-2-200002-202-20000002-202-2002-20022-2-200002-202-2000000-220-2200-2200-2-2220000-220-22000000-220-2200-2200-2-2220000-220-22000000
χ442-202-2002-20022-2-20000-220-220000002-202-2002-20022-2-20000-220-220000002-202-2002-20022-2-20000-220-22000000-220-2200-2200-2-22200002-202-2000000-220-2200-2200-2-22200002-202-2000000
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χ1478-80-44−4i34i3-22−25251+i151−i15−1−i15−1+i152ζ2−2ζ34+2ζ38−2ζ462ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ46−2ζ14+2ζ22−2ζ26+2ζ5800000000000-8804-44i3−4i32-225−25−1−i15−1+i151+i151−i15−2ζ2+2ζ34−2ζ38+2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ2−2ζ34+2ζ38−2ζ462ζ14−2ζ22+2ζ26−2ζ5800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1498-80-444i3−4i3-22−25251−i151+i15−1+i15−1−i15−2ζ14+2ζ22−2ζ26+2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ14−2ζ22+2ζ26−2ζ582ζ2−2ζ34+2ζ38−2ζ4600000000000-8804-4−4i34i32-225−25−1+i15−1−i151−i151+i152ζ14−2ζ22+2ζ26−2ζ582ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ58−2ζ2+2ζ34−2ζ38+2ζ4600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1508-80-444i3−4i3-2225−251+i151−i15−1−i15−1+i15−2ζ2+2ζ34−2ζ38+2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ2−2ζ34+2ζ38−2ζ462ζ14−2ζ22+2ζ26−2ζ5800000000000-8804-4−4i34i32-2−2525−1−i15−1+i151+i151−i152ζ2−2ζ34+2ζ38−2ζ462ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ46−2ζ14+2ζ22−2ζ26+2ζ5800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.