Finite Group Databasebeta

← Group #14516448

Character table — Group #14516448

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61
size11122233366699999999999918181818181818181818545454545454545454545454545454545454727272727272727272
order133333266666333333666666366666666624666666661212121212121212999999999
χ11111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111
χ3111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111
χ4111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111-1-1-1-11−i321−i321−i321+i321+i321+i32-1-11−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111
χ5111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111
χ6111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111-1-1-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111
χ72222222222222222222222222222222222000000000000000000-1-1-1-1-1-1-1-1-1
χ8222222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32220000000000000000001−i321−i321−i321+i321+i321+i32-1-1-1
χ9222222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32220000000000000000001+i321+i321+i321−i321−i321−i32-1-1-1
χ10333333-1-1-1-1-1-1333333-1-1-1-1-1-13-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1000000000
χ11333333-1-1-1-1-1-1333333-1-1-1-1-1-13-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111000000000
χ12333333-1-1-1-1-1-1−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i321−i321−i321−i321+i321+i321+i3231−i321−i321−i321+i321+i321+i32-1-1-11-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321−i321−i321+i321+i321+i32000000000
χ13333333-1-1-1-1-1-1−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i321−i321−i321−i321+i321+i321+i3231−i321−i321−i321+i321+i321+i32-1-1-1-11-1-11−i321−i321−i321+i321+i321+i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000
χ14333333-1-1-1-1-1-1−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i321+i321+i321+i321−i321−i321−i3231+i321+i321+i321−i321−i321−i32-1-1-11-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321+i321+i321−i321−i321−i32000000000
χ15333333-1-1-1-1-1-1−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i321+i321+i321+i321−i321−i321−i3231+i321+i321+i321−i321−i321−i32-1-1-1-11-1-11+i321+i321+i321−i321−i321−i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000
χ163−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i323i33−i32−3−i323+i32−3+i32−i3i33−i32−3−i323+i32−3+i32−i30i33−i32−3−i323+i32−3+i32−i300011−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32000000000
χ173−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i323i33−i32−3−i323+i32−3+i32−i3i33−i32−3−i323+i32−3+i32−i30i33−i32−3−i323+i32−3+i32−i3000-1-11−i321+i32-11−i321+i32-11−i321+i321−i321+i32-11−i321+i32-11−i321+i32000000000
χ183−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3233−i32−3−i32i3−3+i32−i33+i323−i32−3−i32i3−3+i32−i33+i3203−i32−3−i32i3−3+i32−i33+i3200011−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321000000000
χ193−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3233−i32−3−i32i3−3+i32−i33+i323−i32−3−i32i3−3+i32−i33+i3203−i32−3−i32i3−3+i32−i33+i32000-1-11−i321+i321+i32-11−i321−i321+i32-11−i321+i321+i32-11−i321−i321+i32-1000000000
χ203−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i323−3−i32i33−i32−i33+i32−3+i32−3−i32i33−i32−i33+i32−3+i320−3−i32i33−i32−i33+i32−3+i3200011−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32000000000
χ213−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i323−3−i32i33−i32−i33+i32−3+i32−3−i32i33−i32−i33+i32−3+i320−3−i32i33−i32−i33+i32−3+i32000-1-11−i321+i321−i321+i32-11+i32-11−i321−i321+i321−i321+i32-11+i32-11−i32000000000
χ223−3+3i32−3−3i32−3+3i32−3−3i323-11−i321+i321−i321+i32-1i33−i32−3−i323+i32−3+i32−i32−i3−5−i321+3i32−5+i321−3i322+i30-11+i321−i321−i321+i32-12−1+i3−1−i31-1−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−i321+i32-11−i321+i32-11−i321+i32000000000
χ233−3+3i32−3−3i32−3+3i32−3−3i323-11−i321+i321−i321+i32-1i33−i32−3−i323+i32−3+i32−i32−i3−5−i321+3i32−5+i321−3i322+i30-11+i321−i321−i321+i32-12−1+i3−1−i3-111−i321+i32-11−i321+i32-11−i321+i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32000000000
χ243−3+3i32−3−3i32−3+3i32−3−3i323-11−i321+i321−i321+i32-13−i32−3−i32i3−3+i32−i33+i32−5−i321+3i322−i31−3i322+i3−5+i3201+i321−i32-11+i32-11−i322−1+i3−1−i31-1−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3211−i321+i321+i32-11−i321−i321+i32-1000000000
χ253−3+3i32−3−3i32−3+3i32−3−3i323-11−i321+i321−i321+i32-13−i32−3−i32i3−3+i32−i33+i32−5−i321+3i322−i31−3i322+i3−5+i3201+i321−i32-11+i32-11−i322−1+i3−1−i3-111−i321+i321+i32-11−i321−i321+i32-1−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321000000000
χ263−3+3i32−3−3i32−3+3i32−3−3i323-11−i321+i321−i321+i32-1−3−i32i33−i32−i33+i32−3+i321+3i322−i3−5−i322+i3−5+i321−3i3201−i32-11+i32-11−i321+i322−1+i3−1−i31-1−1+i32−1−i32−1+i32−1−i321−1−i321−1+i321−i321+i321−i321+i32-11+i32-11−i32000000000
χ273−3+3i32−3−3i32−3+3i32−3−3i323-11−i321+i321−i321+i32-1−3−i32i33−i32−i33+i32−3+i321+3i322−i3−5−i322+i3−5+i321−3i3201−i32-11+i32-11−i321+i322−1+i3−1−i3-111−i321+i321−i321+i32-11+i32-11−i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32000000000
χ283−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3233+i32−3+i32−i3−3−i32i33−i323+i32−3+i32−i3−3−i32i33−i3203+i32−3+i32−i3−3−i32i33−i3200011−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321000000000
χ293−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3233+i32−3+i32−i3−3−i32i33−i323+i32−3+i32−i3−3−i32i33−i3203+i32−3+i32−i3−3−i32i33−i32000-1-11+i321−i321−i32-11+i321+i321−i32-11+i321−i321−i32-11+i321+i321−i32-1000000000
χ303−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323−3+i32−i33+i32i33−i32−3−i32−3+i32−i33+i32i33−i32−3−i320−3+i32−i33+i32i33−i32−3−i3200011−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32000000000
χ313−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323−3+i32−i33+i32i33−i32−3−i32−3+i32−i33+i32i33−i32−3−i320−3+i32−i33+i32i33−i32−3−i32000-1-11+i321−i321+i321−i32-11−i32-11+i321+i321−i321+i321−i32-11−i32-11+i32000000000
χ323−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323−i33+i32−3+i323−i32−3−i32i3−i33+i32−3+i323−i32−3−i32i30−i33+i32−3+i323−i32−3−i32i300011−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32000000000
χ333−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323−i33+i32−3+i323−i32−3−i32i3−i33+i32−3+i323−i32−3−i32i30−i33+i32−3+i323−i32−3−i32i3000-1-11+i321−i32-11+i321−i32-11+i321−i321+i321−i32-11+i321−i32-11+i321−i32000000000
χ343−3−3i32−3+3i32−3−3i32−3+3i323-11+i321−i321+i321−i32-13+i32−3+i32−i3−3−i32i33−i32−5+i321−3i322+i31+3i322−i3−5−i3201−i321+i32-11−i32-11+i322−1−i3−1+i31-1−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211+i321−i321−i32-11+i321+i321−i32-1000000000
χ353−3−3i32−3+3i32−3−3i32−3+3i323-11+i321−i321+i321−i32-13+i32−3+i32−i3−3−i32i33−i32−5+i321−3i322+i31+3i322−i3−5−i3201−i321+i32-11−i32-11+i322−1−i3−1+i3-111+i321−i321−i32-11+i321+i321−i32-1−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321000000000
χ363−3−3i32−3+3i32−3−3i32−3+3i323-11+i321−i321+i321−i32-1−3+i32−i33+i32i33−i32−3−i321−3i322+i3−5+i322−i3−5−i321+3i3201+i32-11−i32-11+i321−i322−1−i3−1+i31-1−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321+i321−i321+i321−i32-11−i32-11+i32000000000
χ373−3−3i32−3+3i32−3−3i32−3+3i323-11+i321−i321+i321−i32-1−3+i32−i33+i32i33−i32−3−i321−3i322+i3−5+i322−i3−5−i321+3i3201+i32-11−i32-11+i321−i322−1−i3−1+i3-111+i321−i321+i321−i32-11−i32-11+i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32000000000
χ383−3−3i32−3+3i32−3−3i32−3+3i323-11+i321−i321+i321−i32-1−i33+i32−3+i323−i32−3−i32i32+i3−5+i321−3i32−5−i321+3i322−i30-11−i321+i321+i321−i32-12−1−i3−1+i31-1−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321+i321−i32-11+i321−i32-11+i321−i32000000000
χ393−3−3i32−3+3i32−3−3i32−3+3i323-11+i321−i321+i321−i32-1−i33+i32−3+i323−i32−3−i32i32+i3−5+i321−3i32−5−i321+3i322−i30-11−i321+i321+i321−i32-12−1−i3−1+i3-111+i321−i32-11+i321−i32-11+i321−i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32000000000
χ40666666666666000000000000-3000000-3-3-3000000000000000000000000000
χ41666666-2-2-2-2-2-2000000444444-3-2-2-2-2-2-2111000000000000000000000000000
χ42666666-2-2-2-2-2-2000000−2+2i3−2+2i3−2+2i3−2−2i3−2−2i3−2−2i3-31−i31−i31−i31+i31+i31+i3111000000000000000000000000000
χ43666666-2-2-2-2-2-2000000−2−2i3−2−2i3−2−2i3−2+2i3−2+2i3−2+2i3-31+i31+i31+i31−i31−i31−i3111000000000000000000000000000
χ44666-3-3-3666-3-3-30000000000000000000000000000000000000000000000ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5
χ45666-3-3-3666-3-3-30000000000000000000000000000000000000000000000ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5
χ46666-3-3-3666-3-3-30000000000000000000000000000000000000000000000−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5
χ476−3+3i3−3−3i3−3+3i3−3−3i36-21−i31+i31−i31+i3-22i33−i3−3−i33+i3−3+i3−2i3-21+i31−i31−i31+i3-201−i3-21+i3-21−i31+i3-21−i31+i3000000000000000000000000000
χ486−3+3i3−3−3i3−3+3i3−3−3i36-21−i31+i31−i31+i3-23−i3−3−i32i3−3+i3−2i33+i31+i31−i3-21+i3-21−i30-21+i31−i31−i31+i3-2-21−i31+i3000000000000000000000000000
χ496−3+3i3−3−3i3−3+3i3−3−3i36-21−i31+i31−i31+i3-2−3−i32i33−i3−2i33+i3−3+i31−i3-21+i3-21−i31+i301+i31−i3-21+i3-21−i3-21−i31+i3000000000000000000000000000
χ506−3+3i3−3−3i33−3i323+3i32-36−3+3i3−3−3i33−3i323+3i32-30000000000000000000000000000000000000000ζ2+2ζ5ζ2−ζ5−2ζ2−ζ52ζ+ζ4−ζ+ζ4−ζ−2ζ4000
χ516−3+3i3−3−3i33−3i323+3i32-36−3+3i3−3−3i33−3i323+3i32-30000000000000000000000000000000000000000ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5−ζ+ζ4−ζ−2ζ42ζ+ζ4000
χ526−3+3i3−3−3i33−3i323+3i32-36−3+3i3−3−3i33−3i323+3i32-30000000000000000000000000000000000000000−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−ζ−2ζ42ζ+ζ4−ζ+ζ4000
χ536−3−3i3−3+3i3−3−3i3−3+3i36-21+i31−i31+i31−i3-23+i3−3+i3−2i3−3−i32i33−i31−i31+i3-21−i3-21+i30-21−i31+i31+i31−i3-2-21+i31−i3000000000000000000000000000
χ546−3−3i3−3+3i3−3−3i3−3+3i36-21+i31−i31+i31−i3-2−3+i3−2i33+i32i33−i3−3−i31+i3-21−i3-21+i31−i301−i31+i3-21−i3-21+i3-21+i31−i3000000000000000000000000000
χ556−3−3i3−3+3i3−3−3i3−3+3i36-21+i31−i31+i31−i3-2−2i33+i3−3+i33−i3−3−i32i3-21−i31+i31+i31−i3-201+i3-21−i3-21+i31−i3-21+i31−i3000000000000000000000000000
χ566−3−3i3−3+3i33+3i323−3i32-36−3−3i3−3+3i33+3i323−3i32-300000000000000000000000000000000000000002ζ+ζ4−ζ+ζ4−ζ−2ζ4ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5000
χ576−3−3i3−3+3i33+3i323−3i32-36−3−3i3−3+3i33+3i323−3i32-30000000000000000000000000000000000000000−ζ+ζ4−ζ−2ζ42ζ+ζ4−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5000
χ586−3−3i3−3+3i33+3i323−3i32-36−3−3i3−3+3i33+3i323−3i32-30000000000000000000000000000000000000000−ζ−2ζ42ζ+ζ4−ζ+ζ4ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5000
χ59181818-9-9-9-6-6-63330000000000000000000000000000000000000000000000000
χ6018−9+9i3−9−9i39−9i329+9i32-9-63−3i33+3i3−3+3i32−3−3i3230000000000000000000000000000000000000000000000000
χ6118−9−9i3−9+9i39+9i329−9i32-9-63+3i33−3i3−3−3i32−3+3i3230000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.