Finite Group Databasebeta

← Group #14279056

Character table — Group #14279056

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111122222222224444444444444444444444444444448888888888888888888888888888888888888888882020202020202020202020202020202040404040120120120120120120120120
order1222223666666622566661010101010101015153030303030303030303030303030441010101012121212202020202020202030303030303030306060606060606060606060606060606022444444121212121212121266121244448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii
χ511111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1
χ611111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111111-1-1-1-1ii−i−i−i−iii
χ811111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111111-1-1-1-1−i−iiiii−i−i
χ91-11-11-1111-1-1-11-11-1111-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1i−i11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1-1ii−i−i1iiii−i−i−i−i1-11-1i−ii−i1-11-1
χ101-11-11-1111-1-1-11-11-1111-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1i−i11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1-1ii−i−i1iiii−i−i−i−i1-11-1−ii−ii-11-11
χ111-11-11-1111-1-1-11-11-1111-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1i−i11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-111−i−iii-1−i−i−i−iiiii-11-111-1-11−iii−i
χ121-11-11-1111-1-1-11-11-1111-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1i−i11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-111−i−iii-1−i−i−i−iiiii-11-11-111-1i−i−ii
χ131-11-11-1111-1-1-11-11-1111-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1−ii11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1-1−i−iii1−i−i−i−iiiii1-11-1i−ii−i-11-11
χ141-11-11-1111-1-1-11-11-1111-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1−ii11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1-1−i−iii1−i−i−i−iiiii1-11-1−ii−ii1-11-1
χ151-11-11-1111-1-1-11-11-1111-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1−ii11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-111ii−i−i-1iiii−i−i−i−i-11-111-1-11i−i−ii
χ161-11-11-1111-1-1-11-11-1111-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1−ii11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-111ii−i−i-1iiii−i−i−i−i-11-11-111-1−iii−i
χ1722222222222222-2-22-2-2-2-22222222222222222222222200-2-2-2-2000000000000-2-2-2-2-2-2-2-2000000000000000022-20000-20000000022-2-200000000
χ1822222222222222-2-22-2-2-2-22222222222222222222222200-2-2-2-2000000000000-2-2-2-2-2-2-2-20000000000000000-2-220000200000000-2-22200000000
χ19222222-1-1-1-1-1-1-1-1222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ20222222-1-1-1-1-1-1-1-1222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111100000000
χ21222222-1-1-1-1-1-1-1-1222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222221111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111222-2-2-2-2211111111-1-1-1-100000000
χ22222222-1-1-1-1-1-1-1-1222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222221111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-22222-2-1-1-1-1-1-1-1-1111100000000
χ23222222-1-1-1-1-1-1-1-1-2-2211112222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2−i3i3−i3i30000000011111111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i322-20000-2−i3−i3i3i3−i3−i3i3i3-1-11100000000
χ24222222-1-1-1-1-1-1-1-1-2-2211112222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2−i3i3−i3i30000000011111111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3-2-2200002i3i3−i3−i3i3i3−i3−i311-1-100000000
χ25222222-1-1-1-1-1-1-1-1-2-2211112222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2i3−i3i3−i30000000011111111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i322-20000-2i3i3−i3−i3i3i3−i3−i3-1-11100000000
χ26222222-1-1-1-1-1-1-1-1-2-2211112222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2i3−i3i3−i30000000011111111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3-2-2200002−i3−i3i3i3−i3−i3i3i311-1-100000000
χ272-22-22-2222-2-2-22-2-222-2-222222-2-2-2-222222222-2-2-2-2-2-2-2-200-2-222000000000000-2-2-2-2222200000000000000002-220000-2000000002-2-2200000000
χ282-22-22-2222-2-2-22-2-222-2-222222-2-2-2-222222222-2-2-2-2-2-2-2-200-2-222000000000000-2-2-2-222220000000000000000-22-20000200000000-222-200000000
χ292-22-22-2-1-1-1111-112-22-1-111222-2-2-2-2-1-1-1-1-1-1-1-1111111112i−2i22-2-2−i−iii2i2i2i2i−2i−2i−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii2-2-22i2i−2i−2i2−i−i−i−iiiii-11-1100000000
χ302-22-22-2-1-1-1111-112-22-1-111222-2-2-2-2-1-1-1-1-1-1-1-1111111112i−2i22-2-2−i−iii2i2i2i2i−2i−2i−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-222−2i−2i2i2i-2iiii−i−i−i−i1-11-100000000
χ312-22-22-2-1-1-1111-112-22-1-111222-2-2-2-2-1-1-1-1-1-1-1-111111111−2i2i22-2-2ii−i−i−2i−2i−2i−2i2i2i2i2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i2-2-2−2i−2i2i2i2iiii−i−i−i−i-11-1100000000
χ322-22-22-2-1-1-1111-112-22-1-111222-2-2-2-2-1-1-1-1-1-1-1-111111111−2i2i22-2-2ii−i−i−2i−2i−2i−2i2i2i2i2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-2222i2i−2i−2i-2−i−i−i−iiiii1-11-100000000
χ332-22-22-2-1-1-1111-11-22211-1-1222-2-2-2-2-1-1-1-1-1-1-1-11111111100-2-2223−3−33000000001111-1-1-1-13333−3−3−3−3−3−3−3−333332-220000-233−3−3−3−333-111-100000000
χ342-22-22-2-1-1-1111-11-22211-1-1222-2-2-2-2-1-1-1-1-1-1-1-11111111100-2-2223−3−33000000001111-1-1-1-13333−3−3−3−3−3−3−3−33333-22-200002−3−33333−3−31-1-1100000000
χ352-22-22-2-1-1-1111-11-22211-1-1222-2-2-2-2-1-1-1-1-1-1-1-11111111100-2-222−333−3000000001111-1-1-1-1−3−3−3−333333333−3−3−3−32-220000-2−3−33333−3−3-111-100000000
χ362-22-22-2-1-1-1111-11-22211-1-1222-2-2-2-2-1-1-1-1-1-1-1-11111111100-2-222−333−3000000001111-1-1-1-1−3−3−3−333333333−3−3−3−3-22-20000233−3−3−3−3331-1-1100000000
χ374444444444444444-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-144-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000
χ384444444444444444-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-4-4-1-1-1-1-4-4-4-411111111-1-1-1-1-1-1-1-111111111111111110000000000000000000000000000
χ3944444444444444-4-4-1-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10011110000−5−555−5−55511111111−5−555−5−555−5−555−5−5550000000000000000000000000000
χ4044444444444444-4-4-1-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1001111000055−5−555−5−51111111155−5−555−5−555−5−555−5−50000000000000000000000000000
χ41444444-2-2-2-2-2-2-2-244-1-2-2-2-2-1-1-1-1-1-1-11−i1521+i1521−i1521−i1521−i1521+i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i15244-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-11−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1520000000000000000000000000000
χ42444444-2-2-2-2-2-2-2-244-1-2-2-2-2-1-1-1-1-1-1-11−i1521+i1521−i1521−i1521−i1521+i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152-4-4-1-1-1-12222111111111−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i152−1+i152−1+i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i152−1+i152−1+i1520000000000000000000000000000
χ43444444-2-2-2-2-2-2-2-244-1-2-2-2-2-1-1-1-1-1-1-11+i1521−i1521+i1521+i1521+i1521−i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i15244-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-11+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1520000000000000000000000000000
χ44444444-2-2-2-2-2-2-2-244-1-2-2-2-2-1-1-1-1-1-1-11+i1521−i1521+i1521+i1521+i1521−i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152-4-4-1-1-1-12222111111111+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152−1−i152−1−i152−1+i152−1+i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i152−1+i152−1+i152−1+i152−1+i152−1−i152−1−i1520000000000000000000000000000
χ45444444-2-2-2-2-2-2-2-2-4-4-12222-1-1-1-1-1-1-11−i1521+i1521−i1521−i1521−i1521+i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152001111−2i32i3−2i32i355−5−555−5−5−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ580000000000000000000000000000
χ46444444-2-2-2-2-2-2-2-2-4-4-12222-1-1-1-1-1-1-11−i1521+i1521−i1521−i1521−i1521+i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1520011112i3−2i32i3−2i3−5−555−5−555−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ580000000000000000000000000000
χ47444444-2-2-2-2-2-2-2-2-4-4-12222-1-1-1-1-1-1-11+i1521−i1521+i1521+i1521+i1521−i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152001111−2i32i3−2i32i3−5−555−5−555−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ460000000000000000000000000000
χ48444444-2-2-2-2-2-2-2-2-4-4-12222-1-1-1-1-1-1-11+i1521−i1521+i1521+i1521+i1521−i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1520011112i3−2i32i3−2i355−5−555−5−5−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ460000000000000000000000000000
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χ1148-8-8800-44i3−4i34−4i34i34-400-20000225−252-2−25251+i151−i15−1−i15−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−1+i15−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−1−i151+i15−1+i151−i152ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ462ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ580000000000000000000000000000000000000000000000000000000000000000000000

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