Finite Group Databasebeta

← Group #13108358

Character table — Group #13108358

Order 1620.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55
size112121520112121520112121520336364560336364560336364560336364560336364560336364560336364560336364560
order155233151563315156331515633151563945451899454518994545189945451899454518994545189
χ11111111111111111111111111111111111111111111111111111111
χ231−521+52-1031−521+52-1031−521+52-1031−521+52-1031−521+52-1031−521+52-1031−521+52-1031−521+52-1031−521+52-1031−521+52-1031−521+52-10
χ331+521−52-1031+521−52-1031+521−52-1031+521−52-1031+521−52-1031+521−52-1031+521−52-1031+521−52-1031+521−52-1031+521−52-1031+521−52-10
χ44-1-1014-1-1014-1-1014-1-1014-1-1014-1-1014-1-1014-1-1014-1-1014-1-1014-1-101
χ55001-15001-15001-15001-15001-15001-15001-15001-15001-15001-15001-1
χ61111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ731−521+52-1031−521+52-1031−521+52-1031−521+52-1031−521+52-10−3+3i32−ζ2−ζ8−ζ11−ζ141−i320−3+3i32−ζ2−ζ8−ζ11−ζ141−i320−3+3i32−ζ2−ζ8−ζ11−ζ141−i320−3−3i32−ζ7−ζ13−ζ−ζ41+i320−3−3i32−ζ7−ζ13−ζ−ζ41+i320−3−3i32−ζ7−ζ13−ζ−ζ41+i320
χ831+521−52-1031+521−52-1031+521−52-1031+521−52-1031+521−52-10−3+3i32−ζ11−ζ14−ζ2−ζ81−i320−3+3i32−ζ11−ζ14−ζ2−ζ81−i320−3+3i32−ζ11−ζ14−ζ2−ζ81−i320−3−3i32−ζ−ζ4−ζ7−ζ131+i320−3−3i32−ζ−ζ4−ζ7−ζ131+i320−3−3i32−ζ−ζ4−ζ7−ζ131+i320
χ94-1-1014-1-1014-1-1014-1-1014-1-101−2+2i31−i321−i320−1+i32−2+2i31−i321−i320−1+i32−2+2i31−i321−i320−1+i32−2−2i31+i321+i320−1−i32−2−2i31+i321+i320−1−i32−2−2i31+i321+i320−1−i32
χ105001-15001-15001-15001-15001-1−5+5i3200−1+i321−i32−5+5i3200−1+i321−i32−5+5i3200−1+i321−i32−5−5i3200−1−i321+i32−5−5i3200−1−i321+i32−5−5i3200−1−i321+i32
χ111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ1231−521+52-1031−521+52-1031−521+52-1031−521+52-1031−521+52-10−3−3i32−ζ7−ζ13−ζ−ζ41+i320−3−3i32−ζ7−ζ13−ζ−ζ41+i320−3−3i32−ζ7−ζ13−ζ−ζ41+i320−3+3i32−ζ2−ζ8−ζ11−ζ141−i320−3+3i32−ζ2−ζ8−ζ11−ζ141−i320−3+3i32−ζ2−ζ8−ζ11−ζ141−i320
χ1331+521−52-1031+521−52-1031+521−52-1031+521−52-1031+521−52-10−3−3i32−ζ−ζ4−ζ7−ζ131+i320−3−3i32−ζ−ζ4−ζ7−ζ131+i320−3−3i32−ζ−ζ4−ζ7−ζ131+i320−3+3i32−ζ11−ζ14−ζ2−ζ81−i320−3+3i32−ζ11−ζ14−ζ2−ζ81−i320−3+3i32−ζ11−ζ14−ζ2−ζ81−i320
χ144-1-1014-1-1014-1-1014-1-1014-1-101−2−2i31+i321+i320−1−i32−2−2i31+i321+i320−1−i32−2−2i31+i321+i320−1−i32−2+2i31−i321−i320−1+i32−2+2i31−i321−i320−1+i32−2+2i31−i321−i320−1+i32
χ155001-15001-15001-15001-15001-1−5−5i3200−1−i321+i32−5−5i3200−1−i321+i32−5−5i3200−1−i321+i32−5+5i3200−1+i321−i32−5+5i3200−1+i321−i32−5+5i3200−1+i321−i32
χ16111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ1731−521+52-1031−521+52-1031−521+52-10−3+3i32−ζ2−ζ8−ζ11−ζ141−i320−3−3i32−ζ7−ζ13−ζ−ζ41+i32031−521+52-10−3+3i32−ζ2−ζ8−ζ11−ζ141−i320−3−3i32−ζ7−ζ13−ζ−ζ41+i32031−521+52-10−3+3i32−ζ2−ζ8−ζ11−ζ141−i320−3−3i32−ζ7−ζ13−ζ−ζ41+i320
χ1831+521−52-1031+521−52-1031+521−52-10−3+3i32−ζ11−ζ14−ζ2−ζ81−i320−3−3i32−ζ−ζ4−ζ7−ζ131+i32031+521−52-10−3+3i32−ζ11−ζ14−ζ2−ζ81−i320−3−3i32−ζ−ζ4−ζ7−ζ131+i32031+521−52-10−3+3i32−ζ11−ζ14−ζ2−ζ81−i320−3−3i32−ζ−ζ4−ζ7−ζ131+i320
χ194-1-1014-1-1014-1-101−2+2i31−i321−i320−1+i32−2−2i31+i321+i320−1−i324-1-101−2+2i31−i321−i320−1+i32−2−2i31+i321+i320−1−i324-1-101−2+2i31−i321−i320−1+i32−2−2i31+i321+i320−1−i32
χ205001-15001-15001-1−5+5i3200−1+i321−i32−5−5i3200−1−i321+i325001-1−5+5i3200−1+i321−i32−5−5i3200−1−i321+i325001-1−5+5i3200−1+i321−i32−5−5i3200−1−i321+i32
χ21111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i3211111−1−i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32
χ2231−521+52-1031−521+52-1031−521+52-10−3+3i32−ζ2−ζ8−ζ11−ζ141−i320−3−3i32−ζ7−ζ13−ζ−ζ41+i320−3+3i32−ζ2−ζ8−ζ11−ζ141−i320−3−3i32−ζ7−ζ13−ζ−ζ41+i32031−521+52-10−3−3i32−ζ7−ζ13−ζ−ζ41+i32031−521+52-10−3+3i32−ζ2−ζ8−ζ11−ζ141−i320
χ2331+521−52-1031+521−52-1031+521−52-10−3+3i32−ζ11−ζ14−ζ2−ζ81−i320−3−3i32−ζ−ζ4−ζ7−ζ131+i320−3+3i32−ζ11−ζ14−ζ2−ζ81−i320−3−3i32−ζ−ζ4−ζ7−ζ131+i32031+521−52-10−3−3i32−ζ−ζ4−ζ7−ζ131+i32031+521−52-10−3+3i32−ζ11−ζ14−ζ2−ζ81−i320
χ244-1-1014-1-1014-1-101−2+2i31−i321−i320−1+i32−2−2i31+i321+i320−1−i32−2+2i31−i321−i320−1+i32−2−2i31+i321+i320−1−i324-1-101−2−2i31+i321+i320−1−i324-1-101−2+2i31−i321−i320−1+i32
χ255001-15001-15001-1−5+5i3200−1+i321−i32−5−5i3200−1−i321+i32−5+5i3200−1+i321−i32−5−5i3200−1−i321+i325001-1−5−5i3200−1−i321+i325001-1−5+5i3200−1+i321−i32
χ26111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i3211111
χ2731−521+52-1031−521+52-1031−521+52-10−3+3i32−ζ2−ζ8−ζ11−ζ141−i320−3−3i32−ζ7−ζ13−ζ−ζ41+i320−3−3i32−ζ7−ζ13−ζ−ζ41+i32031−521+52-10−3+3i32−ζ2−ζ8−ζ11−ζ141−i320−3+3i32−ζ2−ζ8−ζ11−ζ141−i320−3−3i32−ζ7−ζ13−ζ−ζ41+i32031−521+52-10
χ2831+521−52-1031+521−52-1031+521−52-10−3+3i32−ζ11−ζ14−ζ2−ζ81−i320−3−3i32−ζ−ζ4−ζ7−ζ131+i320−3−3i32−ζ−ζ4−ζ7−ζ131+i32031+521−52-10−3+3i32−ζ11−ζ14−ζ2−ζ81−i320−3+3i32−ζ11−ζ14−ζ2−ζ81−i320−3−3i32−ζ−ζ4−ζ7−ζ131+i32031+521−52-10
χ294-1-1014-1-1014-1-101−2+2i31−i321−i320−1+i32−2−2i31+i321+i320−1−i32−2−2i31+i321+i320−1−i324-1-101−2+2i31−i321−i320−1+i32−2+2i31−i321−i320−1+i32−2−2i31+i321+i320−1−i324-1-101
χ305001-15001-15001-1−5+5i3200−1+i321−i32−5−5i3200−1−i321+i32−5−5i3200−1−i321+i325001-1−5+5i3200−1+i321−i32−5+5i3200−1+i321−i32−5−5i3200−1−i321+i325001-1
χ31111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ3231−521+52-1031−521+52-1031−521+52-10−3−3i32−ζ7−ζ13−ζ−ζ41+i320−3+3i32−ζ2−ζ8−ζ11−ζ141−i32031−521+52-10−3−3i32−ζ7−ζ13−ζ−ζ41+i320−3+3i32−ζ2−ζ8−ζ11−ζ141−i32031−521+52-10−3−3i32−ζ7−ζ13−ζ−ζ41+i320−3+3i32−ζ2−ζ8−ζ11−ζ141−i320
χ3331+521−52-1031+521−52-1031+521−52-10−3−3i32−ζ−ζ4−ζ7−ζ131+i320−3+3i32−ζ11−ζ14−ζ2−ζ81−i32031+521−52-10−3−3i32−ζ−ζ4−ζ7−ζ131+i320−3+3i32−ζ11−ζ14−ζ2−ζ81−i32031+521−52-10−3−3i32−ζ−ζ4−ζ7−ζ131+i320−3+3i32−ζ11−ζ14−ζ2−ζ81−i320
χ344-1-1014-1-1014-1-101−2−2i31+i321+i320−1−i32−2+2i31−i321−i320−1+i324-1-101−2−2i31+i321+i320−1−i32−2+2i31−i321−i320−1+i324-1-101−2−2i31+i321+i320−1−i32−2+2i31−i321−i320−1+i32
χ355001-15001-15001-1−5−5i3200−1−i321+i32−5+5i3200−1+i321−i325001-1−5−5i3200−1−i321+i32−5+5i3200−1+i321−i325001-1−5−5i3200−1−i321+i32−5+5i3200−1+i321−i32
χ36111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i3211111
χ3731−521+52-1031−521+52-1031−521+52-10−3−3i32−ζ7−ζ13−ζ−ζ41+i320−3+3i32−ζ2−ζ8−ζ11−ζ141−i320−3+3i32−ζ2−ζ8−ζ11−ζ141−i32031−521+52-10−3−3i32−ζ7−ζ13−ζ−ζ41+i320−3−3i32−ζ7−ζ13−ζ−ζ41+i320−3+3i32−ζ2−ζ8−ζ11−ζ141−i32031−521+52-10
χ3831+521−52-1031+521−52-1031+521−52-10−3−3i32−ζ−ζ4−ζ7−ζ131+i320−3+3i32−ζ11−ζ14−ζ2−ζ81−i320−3+3i32−ζ11−ζ14−ζ2−ζ81−i32031+521−52-10−3−3i32−ζ−ζ4−ζ7−ζ131+i320−3−3i32−ζ−ζ4−ζ7−ζ131+i320−3+3i32−ζ11−ζ14−ζ2−ζ81−i32031+521−52-10
χ394-1-1014-1-1014-1-101−2−2i31+i321+i320−1−i32−2+2i31−i321−i320−1+i32−2+2i31−i321−i320−1+i324-1-101−2−2i31+i321+i320−1−i32−2−2i31+i321+i320−1−i32−2+2i31−i321−i320−1+i324-1-101
χ405001-15001-15001-1−5−5i3200−1−i321+i32−5+5i3200−1+i321−i32−5+5i3200−1+i321−i325001-1−5−5i3200−1−i321+i32−5−5i3200−1−i321+i32−5+5i3200−1+i321−i325001-1
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−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i3211111−1+i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32
χ4231−521+52-1031−521+52-1031−521+52-10−3−3i32−ζ7−ζ13−ζ−ζ41+i320−3+3i32−ζ2−ζ8−ζ11−ζ141−i320−3−3i32−ζ7−ζ13−ζ−ζ41+i320−3+3i32−ζ2−ζ8−ζ11−ζ141−i32031−521+52-10−3+3i32−ζ2−ζ8−ζ11−ζ141−i32031−521+52-10−3−3i32−ζ7−ζ13−ζ−ζ41+i320
χ4331+521−52-1031+521−52-1031+521−52-10−3−3i32−ζ−ζ4−ζ7−ζ131+i320−3+3i32−ζ11−ζ14−ζ2−ζ81−i320−3−3i32−ζ−ζ4−ζ7−ζ131+i320−3+3i32−ζ11−ζ14−ζ2−ζ81−i32031+521−52-10−3+3i32−ζ11−ζ14−ζ2−ζ81−i32031+521−52-10−3−3i32−ζ−ζ4−ζ7−ζ131+i320
χ444-1-1014-1-1014-1-101−2−2i31+i321+i320−1−i32−2+2i31−i321−i320−1+i32−2−2i31+i321+i320−1−i32−2+2i31−i321−i320−1+i324-1-101−2+2i31−i321−i320−1+i324-1-101−2−2i31+i321+i320−1−i32
χ455001-15001-15001-1−5−5i3200−1−i321+i32−5+5i3200−1+i321−i32−5−5i3200−1−i321+i32−5+5i3200−1+i321−i325001-1−5+5i3200−1+i321−i325001-1−5−5i3200−1−i321+i32
χ4633333−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i320000000000000000000000000000000000000000
χ4793−3523+352-30−9+9i32−3ζ2−3ζ8−3ζ11−3ζ143−3i320−9−9i32−3ζ7−3ζ13−3ζ−3ζ43+3i3200000000000000000000000000000000000000000
χ4893+3523−352-30−9+9i32−3ζ11−3ζ14−3ζ2−3ζ83−3i320−9−9i32−3ζ−3ζ4−3ζ7−3ζ133+3i3200000000000000000000000000000000000000000
χ4912-3-303−6+6i33−3i323−3i320−3+3i32−6−6i33+3i323+3i320−3−3i320000000000000000000000000000000000000000
χ5015003-3−15+15i3200−3+3i323−3i32−15−15i3200−3−3i323+3i320000000000000000000000000000000000000000
χ5133333−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i320000000000000000000000000000000000000000
χ5293−3523+352-30−9−9i32−3ζ7−3ζ13−3ζ−3ζ43+3i320−9+9i32−3ζ2−3ζ8−3ζ11−3ζ143−3i3200000000000000000000000000000000000000000
χ5393+3523−352-30−9−9i32−3ζ−3ζ4−3ζ7−3ζ133+3i320−9+9i32−3ζ11−3ζ14−3ζ2−3ζ83−3i3200000000000000000000000000000000000000000
χ5412-3-303−6−6i33+3i323+3i320−3−3i32−6+6i33−3i323−3i320−3+3i320000000000000000000000000000000000000000
χ5515003-3−15−15i3200−3−3i323+3i32−15+15i3200−3+3i323−3i320000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 15 (ζ15 = 1); i = ζ3.