Finite Group Databasebeta

← Group #14517976

Character table — Group #14517976

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61
size1233333666666999999999999181818181818181818545454545454545454545454545454545454727272727272727272
order132336633366633333366666666666666624666666661212121212121212999999999
χ11111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111
χ31111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ41111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321−i321+i321+i321+i32-1-11−i321−i321−i321+i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ51111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ61111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321+i321−i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ7111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ8111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321+i32-11−i321+i32-11−i321+i321−i321+i32-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ9111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i321−1+i32−1−i32−1+i32−1−i321−1−i321−1+i3211−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i321−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ10111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i321−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32-1-11−i321+i321−i321+i32-11+i32-11−i321−i321+i321−i321+i32-11+i32-11−i321−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ11111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i3211−1+i32−1−i32−1−i321−1+i32−1+i32−1−i32111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3211−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ12111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i3211−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321-1-11−i321+i321+i32-11−i321−i321+i32-11−i321+i321+i32-11−i321−i321+i32-11−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ13111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ14111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321−i32-11+i321−i32-11+i321−i321+i321−i32-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ15111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i32−1+i321−1−i32−1−i32−1+i32111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ16111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321-1-11+i321−i321−i32-11+i321+i321−i32-11+i321−i321−i32-11+i321+i321−i32-11−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ17111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i3211−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ18111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32-1-11+i321−i321+i321−i32-11−i32-11+i321+i321−i321+i321−i32-11−i32-11+i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ192222222222222222222222222222222222000000000000000000-1-1-1-1-1-1-1-1-1
χ202222222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3000000000000000000-1-1-11−i321−i321−i321+i321+i321+i32
χ212222222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3000000000000000000-1-1-11+i321+i321+i321−i321−i321−i32
χ22222−1+i3−1−i3−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3000000000000000000-11−i321+i32-11−i321+i32-11−i321+i32
χ23222−1+i3−1−i3−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3−1+i3−1−i32−1−i32−1+i3−1+i3−1−i32−1−i32−1+i32−1+i3−1−i3−1+i3−1−i32−1−i32−1+i3000000000000000000-11−i321+i321−i321+i32-11+i32-11−i32
χ24222−1+i3−1−i3−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3−1−i32−1+i3−1+i3−1−i32−1−i32−1+i3−1+i3−1−i322−1+i3−1−i3−1−i32−1+i3−1+i3−1−i32000000000000000000-11−i321+i321+i32-11−i321−i321+i32-1
χ25222−1−i3−1+i3−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3000000000000000000-11+i321−i32-11+i321−i32-11+i321−i32
χ26222−1−i3−1+i3−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3−1+i32−1−i3−1−i3−1+i32−1+i32−1−i3−1−i3−1+i322−1−i3−1+i3−1+i32−1−i3−1−i3−1+i32000000000000000000-11+i321−i321−i32-11+i321+i321−i32-1
χ27222−1−i3−1+i3−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3−1−i3−1+i32−1+i32−1−i3−1−i3−1+i32−1+i32−1−i32−1−i3−1+i3−1−i3−1+i32−1+i32−1−i3000000000000000000-11+i321−i321+i321−i32-11−i32-11+i32
χ2833-133-1-1333-1-1-1333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1000000000
χ2933-133-1-1333-1-1-1333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111000000000
χ3033-133-1-1333-1-1-1−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i321−i321−i321−i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i321-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321−i321−i321+i321+i321+i32000000000
χ3133-133-1-1333-1-1-1−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i321−i321−i321−i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-11-1-11−i321−i321−i321+i321+i321+i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000
χ3233-133-1-1333-1-1-1−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i321+i321+i321+i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i321-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321+i321+i321−i321−i321−i32000000000
χ3333-133-1-1333-1-1-1−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i321+i321+i321+i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-11-1-11+i321+i321+i321−i321−i321−i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000
χ3433-1−3+3i32−3−3i321−i321+i323−3+3i32−3−3i32-11−i321+i323−3+3i32−3−3i323−3+3i32−3−3i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i321-1−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−i321+i32-11−i321+i32-11−i321+i32000000000
χ3533-1−3+3i32−3−3i321−i321+i323−3+3i32−3−3i32-11−i321+i323−3+3i32−3−3i323−3+3i32−3−3i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32-111−i321+i32-11−i321+i32-11−i321+i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32000000000
χ3633-1−3+3i32−3−3i321−i321+i323−3+3i32−3−3i32-11−i321+i32−3+3i32−3−3i323−3−3i323−3+3i321−i321+i32-11+i32-11−i32-11−i321+i321−i321+i32-11+i32-11−i321-1−1+i32−1−i32−1+i32−1−i321−1−i321−1+i321−i321+i321−i321+i32-11+i32-11−i32000000000
χ3733-1−3+3i32−3−3i321−i321+i323−3+3i32−3−3i32-11−i321+i32−3+3i32−3−3i323−3−3i323−3+3i321−i321+i32-11+i32-11−i32-11−i321+i321−i321+i32-11+i32-11−i32-111−i321+i321−i321+i32-11+i32-11−i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32000000000
χ3833-1−3+3i32−3−3i321−i321+i323−3+3i32−3−3i32-11−i321+i32−3−3i323−3+3i32−3+3i32−3−3i3231+i32-11−i321−i321+i32-1-11−i321+i321+i32-11−i321−i321+i32-11-1−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3211−i321+i321+i32-11−i321−i321+i32-1000000000
χ3933-1−3+3i32−3−3i321−i321+i323−3+3i32−3−3i32-11−i321+i32−3−3i323−3+3i32−3+3i32−3−3i3231+i32-11−i321−i321+i32-1-11−i321+i321+i32-11−i321−i321+i32-1-111−i321+i321+i32-11−i321−i321+i32-1−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321000000000
χ4033-1−3−3i32−3+3i321+i321−i323−3−3i32−3+3i32-11+i321−i323−3−3i32−3+3i323−3−3i32−3+3i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i321-1−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321+i321−i32-11+i321−i32-11+i321−i32000000000
χ4133-1−3−3i32−3+3i321+i321−i323−3−3i32−3+3i32-11+i321−i323−3−3i32−3+3i323−3−3i32−3+3i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-111+i321−i32-11+i321−i32-11+i321−i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32000000000
χ4233-1−3−3i32−3+3i321+i321−i323−3−3i32−3+3i32-11+i321−i32−3+3i323−3−3i32−3−3i32−3+3i3231−i32-11+i321+i321−i32-1-11+i321−i321−i32-11+i321+i321−i32-11-1−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211+i321−i321−i32-11+i321+i321−i32-1000000000
χ4333-1−3−3i32−3+3i321+i321−i323−3−3i32−3+3i32-11+i321−i32−3+3i323−3−3i32−3−3i32−3+3i3231−i32-11+i321+i321−i32-1-11+i321−i321−i32-11+i321+i321−i32-1-111+i321−i321−i32-11+i321+i321−i32-1−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321000000000
χ4433-1−3−3i32−3+3i321+i321−i323−3−3i32−3+3i32-11+i321−i32−3−3i32−3+3i323−3+3i323−3−3i321+i321−i32-11−i32-11+i32-11+i321−i321+i321−i32-11−i32-11+i321-1−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321+i321−i321+i321−i32-11−i32-11+i32000000000
χ4533-1−3−3i32−3+3i321+i321−i323−3−3i32−3+3i32-11+i321−i32−3−3i32−3+3i323−3+3i323−3−3i321+i321−i32-11−i32-11+i32-11+i321−i321+i321−i32-11−i32-11+i32-111+i321−i321+i321−i32-11−i32-11+i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32000000000
χ466666666-3-3-3666000000000000-3-3-3000000000000000000000000000000000
χ47666−3+3i3−3−3i3−3+3i3−3−3i3-33−3i323+3i326−3+3i3−3−3i3000000000000-33−3i323+3i32000000000000000000000000000000000
χ48666−3−3i3−3+3i3−3−3i3−3+3i3-33+3i323−3i326−3−3i3−3+3i3000000000000-33+3i323−3i32000000000000000000000000000000000
χ4966-266-2-2-3-3-3-2-2-2000000444444111-2-2-2-2-2-2000000000000000000000000000
χ5066-266-2-2-3-3-3-2-2-2000000−2+2i3−2+2i3−2+2i3−2−2i3−2−2i3−2−2i31111−i31−i31−i31+i31+i31+i3000000000000000000000000000
χ5166-266-2-2-3-3-3-2-2-2000000−2−2i3−2−2i3−2−2i3−2+2i3−2+2i3−2+2i31111+i31+i31+i31−i31−i31−i3000000000000000000000000000
χ5266-2−3+3i3−3−3i31−i31+i3-33−3i323+3i32-21−i31+i30000004−2+2i3−2−2i34−2+2i3−2−2i31−1+i32−1−i32-21−i31+i3-21−i31+i3000000000000000000000000000
χ5366-2−3+3i3−3−3i31−i31+i3-33−3i323+3i32-21−i31+i3000000−2+2i3−2−2i34−2−2i34−2+2i31−1+i32−1−i321−i31+i3-21+i3-21−i3000000000000000000000000000
χ5466-2−3+3i3−3−3i31−i31+i3-33−3i323+3i32-21−i31+i3000000−2−2i34−2+2i3−2+2i3−2−2i341−1+i32−1−i321+i3-21−i31−i31+i3-2000000000000000000000000000
χ5566-2−3−3i3−3+3i31+i31−i3-33+3i323−3i32-21+i31−i30000004−2−2i3−2+2i34−2−2i3−2+2i31−1−i32−1+i32-21+i31−i3-21+i31−i3000000000000000000000000000
χ5666-2−3−3i3−3+3i31+i31−i3-33+3i323−3i32-21+i31−i3000000−2+2i34−2−2i3−2−2i3−2+2i341−1−i32−1+i321−i3-21+i31+i31−i3-2000000000000000000000000000
χ5766-2−3−3i3−3+3i31+i31−i3-33+3i323−3i32-21+i31−i3000000−2−2i3−2+2i34−2+2i34−2−2i31−1−i32−1+i321+i31−i3-21−i3-21+i3000000000000000000000000000
χ5818-9180000000-900000000000000000000000000000000000000000000000000
χ5918-9-60012120003-6-6000000000000000000000000000000000000000000000000
χ6018-9-600−6+6i3−6−6i300033−3i33+3i3000000000000000000000000000000000000000000000000
χ6118-9-600−6−6i3−6+6i300033+3i33−3i3000000000000000000000000000000000000000000000000

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