Finite Group Databasebeta

← Group #14517987

Character table — Group #14517987

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67
size1113333366666699999999999999181818181818181818181818181854545454545454545454545454545454727272727272727272
order13323366333666669999991818181818182466661212181818181818661212181818181818363636363636333999999
χ11111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111
χ31111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+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
χ41111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-111-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ51111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−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
χ61111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-111-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ71111−1+i32−1−i32111−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321111−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i32−1+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−i32
χ81111−1+i32−1−i32111−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1-1-1−1+i32−1−i32-1-11−1+i32−1−i321−1+i32−1−i321−i321+i321−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ91111−1+i32−1−i32111−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i321111−1+i32−1−i3211−1+i32−1−i321−1−i321−1+i32−1+i32−1−i32−1+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
χ101111−1+i32−1−i32111−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32-1-1-1-1−1+i32−1−i32-1-1−1+i32−1−i321−1−i321−1+i321−i321+i321−i321+i321−i321+i32-11+i32-11−i321−i321+i32-11+i32-11−i321−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ111111−1+i32−1−i32111−1+i32−1−i32111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i3211111−1+i32−1−i3211−1−i321−1+i32−1+i32−1−i321−1+i32−1−i32−1+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
χ121111−1+i32−1−i32111−1+i32−1−i32111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321-1-1-1-1−1+i32−1−i32-1-1−1−i321−1+i32−1+i32−1−i3211−i321+i321−i321+i321+i32-11−i321−i321+i32-11+i32-11−i321−i321+i32-11−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ131111−1−i32−1+i32111−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321111−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i32−1−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+i32
χ141111−1−i32−1+i32111−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1-1-1−1−i32−1+i32-1-11−1−i32−1+i321−1−i32−1+i321+i321−i321+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ151111−1−i32−1+i32111−1−i32−1+i32111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i3211111−1−i32−1+i3211−1+i321−1−i32−1−i32−1+i321−1−i32−1+i32−1−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
χ161111−1−i32−1+i32111−1−i32−1+i32111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321-1-1-1-1−1−i32−1+i32-1-1−1+i321−1−i32−1−i32−1+i3211+i321−i321+i321−i321−i32-11+i321+i321−i32-11−i32-11+i321+i321−i32-11−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ171111−1−i32−1+i32111−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i321111−1−i32−1+i3211−1−i32−1+i321−1+i321−1−i32−1−i32−1+i32−1−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
χ181111−1−i32−1+i32111−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32-1-1-1-1−1−i32−1+i32-1-1−1−i32−1+i321−1+i321−1−i321+i321−i321+i321−i321+i321−i32-11−i32-11+i321+i321−i32-11−i32-11+i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ192222222222222222222222222222000022002222220000000000000000-1-1-1-1-1-1-1-1-1
χ202222222222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i300002200−1+i3−1+i3−1+i3−1−i3−1−i3−1−i30000000000000000-1-1-11−i321−i321−i321+i321+i321+i32
χ212222222222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i300002200−1−i3−1−i3−1−i3−1+i3−1+i3−1+i30000000000000000-1-1-11+i321+i321+i321−i321−i321−i32
χ222222−1+i3−1−i3222−1+i3−1−i3222−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i30000−1+i3−1−i3002−1+i3−1−i32−1+i3−1−i30000000000000000-11−i321+i32-11−i321+i32-11−i321+i32
χ232222−1+i3−1−i3222−1+i3−1−i3222−1+i3−1−i3−1+i3−1−i32−1−i32−1+i3−1+i3−1−i32−1−i32−1+i30000−1+i3−1−i300−1+i3−1−i32−1−i32−1+i30000000000000000-11−i321+i321−i321+i32-11+i32-11−i32
χ242222−1+i3−1−i3222−1+i3−1−i3222−1+i3−1−i3−1−i32−1+i3−1+i3−1−i32−1−i32−1+i3−1+i3−1−i320000−1+i3−1−i300−1−i32−1+i3−1+i3−1−i320000000000000000-11−i321+i321+i32-11−i321−i321+i32-1
χ252222−1−i3−1+i3222−1−i3−1+i3222−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i30000−1−i3−1+i3002−1−i3−1+i32−1−i3−1+i30000000000000000-11+i321−i32-11+i321−i32-11+i321−i32
χ262222−1−i3−1+i3222−1−i3−1+i3222−1−i3−1+i3−1+i32−1−i3−1−i3−1+i32−1+i32−1−i3−1−i3−1+i320000−1−i3−1+i300−1+i32−1−i3−1−i3−1+i320000000000000000-11+i321−i321−i32-11+i321+i321−i32-1
χ272222−1−i3−1+i3222−1−i3−1+i3222−1−i3−1+i3−1−i3−1+i32−1+i32−1−i3−1−i3−1+i32−1+i32−1−i30000−1−i3−1+i300−1−i3−1+i32−1+i32−1−i30000000000000000-11+i321−i321+i321−i32-11−i32-11+i32
χ28333-133-1-1333-1-1-1-1-1333333-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1000000000
χ29333-133-1-1333-1-1-1-1-1333333-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111000000000
χ30333-133-1-1333-1-1-1-1-1−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i321−i321−i321−i321+i321+i321+i321-111-1-1-1-11−i321−i321−i321+i321+i321+i3211-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32000000000
χ31333-133-1-1333-1-1-1-1-1−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i321−i321−i321−i321+i321+i321+i32-11-1-1-1-1111−i321−i321−i321+i321+i321+i32-1-1111−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000
χ32333-133-1-1333-1-1-1-1-1−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i321+i321+i321+i321−i321−i321−i321-111-1-1-1-11+i321+i321+i321−i321−i321−i3211-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32000000000
χ33333-133-1-1333-1-1-1-1-1−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i321+i321+i321+i321−i321−i321−i32-11-1-1-1-1111+i321+i321+i321−i321−i321−i32-1-1111+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000
χ34333-1−3+3i32−3−3i32-1-13−3+3i32−3−3i32-1-1-11−i321+i323−3+3i32−3−3i323−3+3i32−3−3i32-11−i321+i32-11−i321+i321-1111−i321+i32-1-1-11−i321+i32-11−i321+i32−1+i32−1−i321−i321+i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i32000000000
χ35333-1−3+3i32−3−3i32-1-13−3+3i32−3−3i32-1-1-11−i321+i323−3+3i32−3−3i323−3+3i32−3−3i32-11−i321+i32-11−i321+i32-11-1-11−i321+i3211-11−i321+i32-11−i321+i321−i321+i32−1+i32−1−i32-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i32000000000
χ36333-1−3+3i32−3−3i32-1-13−3+3i32−3−3i32-1-1-11−i321+i32−3+3i32−3−3i323−3−3i323−3+3i321−i321+i32-11+i32-11−i321-1111−i321+i32-1-11−i321+i32-11+i32-11−i32−1+i32−1−i321−i321+i32−1+i32−1−i321−1−i321−1+i321−i321+i32-11+i32-11−i32000000000
χ37333-1−3+3i32−3−3i32-1-13−3+3i32−3−3i32-1-1-11−i321+i32−3+3i32−3−3i323−3−3i323−3+3i321−i321+i32-11+i32-11−i32-11-1-11−i321+i32111−i321+i32-11+i32-11−i321−i321+i32−1+i32−1−i321−i321+i32-11+i32-11−i32−1+i32−1−i321−1−i321−1+i32000000000
χ38333-1−3+3i32−3−3i32-1-13−3+3i32−3−3i32-1-1-11−i321+i32−3−3i323−3+3i32−3+3i32−3−3i3231+i32-11−i321−i321+i32-11-1111−i321+i32-1-11+i32-11−i321−i321+i32-1−1+i32−1−i321−i321+i32−1−i321−1+i32−1+i32−1−i3211+i32-11−i321−i321+i32-1000000000
χ39333-1−3+3i32−3−3i32-1-13−3+3i32−3−3i32-1-1-11−i321+i32−3−3i323−3+3i32−3+3i32−3−3i3231+i32-11−i321−i321+i32-1-11-1-11−i321+i32111+i32-11−i321−i321+i32-11−i321+i32−1+i32−1−i321+i32-11−i321−i321+i32-1−1−i321−1+i32−1+i32−1−i321000000000
χ40333-1−3−3i32−3+3i32-1-13−3−3i32−3+3i32-1-1-11+i321−i323−3−3i32−3+3i323−3−3i32−3+3i32-11+i321−i32-11+i321−i321-1111+i321−i32-1-1-11+i321−i32-11+i321−i32−1−i32−1+i321+i321−i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i32000000000
χ41333-1−3−3i32−3+3i32-1-13−3−3i32−3+3i32-1-1-11+i321−i323−3−3i32−3+3i323−3−3i32−3+3i32-11+i321−i32-11+i321−i32-11-1-11+i321−i3211-11+i321−i32-11+i321−i321+i321−i32−1−i32−1+i32-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32000000000
χ42333-1−3−3i32−3+3i32-1-13−3−3i32−3+3i32-1-1-11+i321−i32−3+3i323−3−3i32−3−3i32−3+3i3231−i32-11+i321+i321−i32-11-1111+i321−i32-1-11−i32-11+i321+i321−i32-1−1−i32−1+i321+i321−i32−1+i321−1−i32−1−i32−1+i3211−i32-11+i321+i321−i32-1000000000
χ43333-1−3−3i32−3+3i32-1-13−3−3i32−3+3i32-1-1-11+i321−i32−3+3i323−3−3i32−3−3i32−3+3i3231−i32-11+i321+i321−i32-1-11-1-11+i321−i32111−i32-11+i321+i321−i32-11+i321−i32−1−i32−1+i321−i32-11+i321+i321−i32-1−1+i321−1−i32−1−i32−1+i321000000000
χ44333-1−3−3i32−3+3i32-1-13−3−3i32−3+3i32-1-1-11+i321−i32−3−3i32−3+3i323−3+3i323−3−3i321+i321−i32-11−i32-11+i321-1111+i321−i32-1-11+i321−i32-11−i32-11+i32−1−i32−1+i321+i321−i32−1−i32−1+i321−1+i321−1−i321+i321−i32-11−i32-11+i32000000000
χ45333-1−3−3i32−3+3i32-1-13−3−3i32−3+3i32-1-1-11+i321−i32−3−3i32−3+3i323−3+3i323−3−3i321+i321−i32-11−i32-11+i32-11-1-11+i321−i32111+i321−i32-11−i32-11+i321+i321−i32−1−i32−1+i321+i321−i32-11−i32-11+i32−1−i32−1+i321−1+i321−1−i32000000000
χ4666666666-3-3-3-3-3-3660000000000000000-3-3000000000000000000000000000000000
χ476666−3+3i3−3−3i366-33−3i323+3i32-3-3-3−3+3i3−3−3i300000000000000003−3i323+3i32000000000000000000000000000000000
χ486666−3−3i3−3+3i366-33+3i323−3i32-3-3-3−3−3i3−3+3i300000000000000003+3i323−3i32000000000000000000000000000000000
χ49666-266-2-2-3-3-3111-2-200000044444400001100-2-2-2-2-2-20000000000000000000000000
χ50666-266-2-2-3-3-3111-2-2000000−2+2i3−2+2i3−2+2i3−2−2i3−2−2i3−2−2i3000011001−i31−i31−i31+i31+i31+i30000000000000000000000000
χ51666-266-2-2-3-3-3111-2-2000000−2−2i3−2−2i3−2−2i3−2+2i3−2+2i3−2+2i3000011001+i31+i31+i31−i31−i31−i30000000000000000000000000
χ52666-2−3+3i3−3−3i3-2-2-33−3i323+3i321111−i31+i30000004−2+2i3−2−2i34−2+2i3−2−2i30000−1+i32−1−i3200-21−i31+i3-21−i31+i30000000000000000000000000
χ53666-2−3+3i3−3−3i3-2-2-33−3i323+3i321111−i31+i3000000−2+2i3−2−2i34−2−2i34−2+2i30000−1+i32−1−i32001−i31+i3-21+i3-21−i30000000000000000000000000
χ54666-2−3+3i3−3−3i3-2-2-33−3i323+3i321111−i31+i3000000−2−2i34−2+2i3−2+2i3−2−2i340000−1+i32−1−i32001+i3-21−i31−i31+i3-20000000000000000000000000
χ55666-2−3−3i3−3+3i3-2-2-33+3i323−3i321111+i31−i30000004−2−2i3−2+2i34−2−2i3−2+2i30000−1−i32−1+i3200-21+i31−i3-21+i31−i30000000000000000000000000
χ56666-2−3−3i3−3+3i3-2-2-33+3i323−3i321111+i31−i3000000−2+2i34−2−2i3−2−2i3−2+2i340000−1−i32−1+i32001−i3-21+i31+i31−i3-20000000000000000000000000
χ57666-2−3−3i3−3+3i3-2-2-33+3i323−3i321111+i31−i3000000−2−2i3−2+2i34−2+2i34−2−2i30000−1−i32−1+i32001+i31−i3-21−i3-21+i30000000000000000000000000
χ589−9+9i32−9−9i32900−9+9i32−9−9i320000000000000000000033−3+3i32−3−3i3200−3+3i32−3−3i320000000000000000000000000000000
χ599−9+9i32−9−9i32900−9+9i32−9−9i3200000000000000000000-3-33−3i323+3i32003−3i323+3i320000000000000000000000000000000
χ609−9+9i32−9−9i32-3003−3i323+3i320006−3+3i3−3−3i3000000000000003-3−3+3i32−3−3i32003−3i323+3i320000000000000000000000000000000
χ619−9+9i32−9−9i32-3003−3i323+3i320006−3+3i3−3−3i300000000000000-333−3i323+3i3200−3+3i32−3−3i320000000000000000000000000000000
χ629−9−9i32−9+9i32900−9−9i32−9+9i320000000000000000000033−3−3i32−3+3i3200−3−3i32−3+3i320000000000000000000000000000000
χ639−9−9i32−9+9i32900−9−9i32−9+9i3200000000000000000000-3-33+3i323−3i32003+3i323−3i320000000000000000000000000000000
χ649−9−9i32−9+9i32-3003+3i323−3i320006−3−3i3−3+3i3000000000000003-3−3−3i32−3+3i32003+3i323−3i320000000000000000000000000000000
χ659−9−9i32−9+9i32-3003+3i323−3i320006−3−3i3−3+3i300000000000000-333+3i323−3i3200−3−3i32−3+3i320000000000000000000000000000000
χ6618−9+9i3−9−9i3-6003−3i33+3i3000-63−3i33+3i300000000000000000000000000000000000000000000000000000
χ6718−9−9i3−9+9i3-6003+3i33−3i3000-63+3i33−3i300000000000000000000000000000000000000000000000000000

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