Finite Group Databasebeta

← Group #14278361

Character table — Group #14278361

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size112222222222222224444444444444444444444444444448888888888888888888888888888888888888888840404040404040404040404048484848484848484848120120120120
order12234455610101010101012126888812151520202020242424243030303030306060606060606060412122020202024244040404040404040606060606060606012012012012012012012012012012012012012012012012016161616484848484848484824101010102020202016161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-11111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1-11111-1-1-1-1ii−i−i
χ6111111111111111111-1-1-1-11111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-11-1-1-1-11111−i−iii
χ7111111111111111111-1-1-1-11111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii1-11111-1-1-1-1−i−iii
χ8111111111111111111-1-1-1-11111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii-11-1-1-1-11111ii−i−i
χ922222222222222222222-2-22222222222222222222222222-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000000000000000
χ10222222222222222222-2-2222222222-2-2-2-222222222222222-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000
χ11222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000
χ12222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000-2-21+521+521−521−521+521+521−521−520000
χ13222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+5222222-2-22−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-21+521+521−521−52-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5200000000000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ580000
χ14222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+5222222-2-22−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-21+521+521−521−52-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5200000000000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ580000
χ15222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52222-2-2222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-21+521+521−521−52221+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ580000
χ16222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52222-2-2222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-21+521+521−521−52221+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ580000
χ17222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52222-2-2-2-22−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000000000002-2−1−52−1−52−1+52−1+521+521+521−521−520000
χ18222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52222-2-2-2-22−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52000000000000-221+521+521−521−52−1−52−1−52−1+52−1+520000
χ19222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−5222222222−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000
χ20222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−5222222222−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000-2-21−521−521+521+521−521−521+521+520000
χ21222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−5222222-2-22−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-21−521−521+521+52-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5200000000000000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ460000
χ22222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−5222222-2-22−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-21−521−521+521+52-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5200000000000000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ460000
χ23222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52222-2-2222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-21−521−521+521+52221−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ460000
χ24222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52222-2-2222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-21−521−521+521+52221−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ460000
χ25222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52222-2-2-2-22−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222−1+52−1+52−1−52−1−52-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520000000000002-2−1+52−1+52−1−52−1−521−521−521+521+520000
χ26222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52222-2-2-2-22−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222−1+52−1+52−1−52−1−52-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52000000000000-221−521−521+521+52−1+52−1+52−1−52−1−520000
χ27222-12222-1222222-1-1-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000
χ28222-12222-1222222-1-1-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000000000
χ29222-12222-1222222-1-1-122-2-2-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-211-2-2-2-2112222-2-2-2-211111111-1-1-1-1-1-1-1-1111111110000−i3−i3i3i3−i3−i3i3i300000000000000
χ30222-12222-1222222-1-1-122-2-2-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-211-2-2-2-2112222-2-2-2-211111111-1-1-1-1-1-1-1-1111111110000i3i3−i3−i3i3i3−i3−i300000000000000
χ31222-12222-1222222-1-1-1-2-222-1-1-122221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-211-2-2-2-2-1-1-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1000033−3−3−3−33300000000000000
χ32222-12222-1222222-1-1-1-2-222-1-1-122221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-211-2-2-2-2-1-1-2-2-2-222221111111111111111-1-1-1-1-1-1-1-10000−3−33333−3−300000000000000
χ33222-12222-1222222-1-1-1-2-2-2-2-1-1-122221111-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1222211-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112i2i−2i−2i−i−i−i−iiiii00000000000000
χ34222-12222-1222222-1-1-1-2-2-2-2-1-1-122221111-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1222211-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111−2i−2i2i2iiiii−i−i−i−i00000000000000
χ3522-222-222222-2-2-2-222-2002i−2i-2222-22-200002-2-22-2-222-2-222-2-200000002i−2i00002i−2i2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i1+i−1−i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000000000
χ3622-222-222222-2-2-2-222-2002i−2i-2222-22-200002-2-22-2-222-2-222-2-200000002i−2i00002i−2i2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i−1−i1+i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000000000
χ3722-222-222222-2-2-2-222-200−2i2i-2222-22-200002-2-22-2-222-2-222-2-20000000−2i2i0000−2i2i−2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i1−i−1+i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000000000
χ3822-222-222222-2-2-2-222-200−2i2i-2222-22-200002-2-22-2-222-2-222-2-20000000−2i2i0000−2i2i−2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i−1+i1−i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000000000
χ3922-22-2222222-2-2-2-2-2-2-22i−2i00222-22-222i2i−2i−2i2-2-22-2-2-2-222-2-2220000000002i−2i2i−2i0000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000001+i−1−i1−i−1+i
χ4022-22-2222222-2-2-2-2-2-2-22i−2i00222-22-222i2i−2i−2i2-2-22-2-2-2-222-2-2220000000002i−2i2i−2i0000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000−1−i1+i−1+i1−i
χ4122-22-2222222-2-2-2-2-2-2-2−2i2i00222-22-22−2i−2i2i2i2-2-22-2-2-2-222-2-222000000000−2i2i−2i2i000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000001−i−1+i1+i−1−i
χ4222-22-2222222-2-2-2-2-2-2-2−2i2i00222-22-22−2i−2i2i2i2-2-22-2-2-2-222-2-222000000000−2i2i−2i2i000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000−1+i1−i−1−i1+i
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χ1128-80-400−2+25−2−2542−252+254ζ2+4ζ22−4ζ38−4ζ58−4ζ2−4ζ22+4ζ38+4ζ584ζ14−4ζ26+4ζ34−4ζ46−4ζ14+4ζ26−4ζ34+4ζ46−43430000001−51+500000000−1+5−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−1−5−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ472ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ472ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ592ζ11+2ζ19−2ζ31−2ζ59−2ζ11−2ζ19+2ζ31+2ζ590000000000000000000000000000000000000000000000000000000000000000000
χ1138-80-400−2+25−2−2542−252+25−4ζ2−4ζ22+4ζ38+4ζ584ζ2+4ζ22−4ζ38−4ζ58−4ζ14+4ζ26−4ζ34+4ζ464ζ14−4ζ26+4ζ34−4ζ4643−430000001−51+500000000−1+52ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−1−52ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ472ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ47−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ59−2ζ11−2ζ19+2ζ31+2ζ590000000000000000000000000000000000000000000000000000000000000000000
χ1148-80-400−2+25−2−2542−252+25−4ζ2−4ζ22+4ζ38+4ζ584ζ2+4ζ22−4ζ38−4ζ58−4ζ14+4ζ26−4ζ34+4ζ464ζ14−4ζ26+4ζ34−4ζ46−43430000001−51+500000000−1+52ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−1−52ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ472ζ7+2ζ23−2ζ43−2ζ472ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ59−2ζ11−2ζ19+2ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ590000000000000000000000000000000000000000000000000000000000000000000

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