Finite Group Databasebeta

← Group #11762143

Character table — Group #11762143

Order 1080.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36
size121520242424303040609012152024242430304060901215202424243030406090
order1323515152636433631515156636123363151515663612
χ1111111111111111111111111111111111111
χ21111111-111-1-11111111-111-1-11111111-111-1-1
χ32-1222-1-10-1-1002-1222-1-10-1-1002-1222-1-10-1-100
χ44401-1-1-1201-104401-1-1-1201-104401-1-1-1201-10
χ54401-1-1-1-201104401-1-1-1-201104401-1-1-1-20110
χ6551-100011-11-1551-100011-11-1551-100011-11-1
χ7551-1000-11-1-11551-1000-11-1-11551-1000-11-1-11
χ866-201110-200066-201110-200066-201110-2000
χ96-3-201−1−i152−1+i152010006-3-201−1−i152−1+i152010006-3-201−1−i152−1+i15201000
χ106-3-201−1+i152−1−i152010006-3-201−1+i152−1−i152010006-3-201−1+i152−1−i15201000
χ118-402-21100-1008-402-21100-1008-402-21100-100
χ1210-52-20000-110010-52-20000-110010-52-20000-1100
χ13111111111111−1+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
χ141111111-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32
χ152-1222-1-10-1-100−1+i31−i32−1+i3−1+i3−1+i31−i321−i3201−i321−i3200−1−i31+i32−1−i3−1−i3−1−i31+i321+i3201+i321+i3200
χ164401-1-1-1201-10−2+2i3−2+2i30−1+i321−i321−i321−i32−1+i30−1+i321−i320−2−2i3−2−2i30−1−i321+i321+i321+i32−1−i30−1−i321+i320
χ174401-1-1-1-20110−2+2i3−2+2i30−1+i321−i321−i321−i321−i30−1+i32−1+i320−2−2i3−2−2i30−1−i321+i321+i321+i321+i30−1−i32−1−i320
χ18551-100011-11-1−5+5i32−5+5i32−1+i321−i32000−1+i32−1+i321−i32−1+i321−i32−5−5i32−5−5i32−1−i321+i32000−1−i32−1−i321+i32−1−i321+i32
χ19551-1000-11-1-11−5+5i32−5+5i32−1+i321−i320001−i32−1+i321−i321−i32−1+i32−5−5i32−5−5i32−1−i321+i320001+i32−1−i321+i321+i32−1−i32
χ2066-201110-2000−3+3i3−3+3i31−i30−1+i32−1+i32−1+i3201−i3000−3−3i3−3−3i31+i30−1−i32−1−i32−1−i3201+i3000
χ216-3-201−1−i152−1+i15201000−3+3i33−3i321−i30−1+i32ζ+ζ4−ζ7+ζ11−ζ13+ζ14−ζ+ζ2−ζ4+ζ7+ζ8+ζ130−1+i32000−3−3i33+3i321+i30−1−i32ζ2+ζ7+ζ8−ζ11+ζ13−ζ14ζ−ζ2+ζ4−ζ8+ζ11+ζ140−1−i32000
χ226-3-201−1+i152−1−i15201000−3+3i33−3i321−i30−1+i32−ζ+ζ2−ζ4+ζ7+ζ8+ζ13ζ+ζ4−ζ7+ζ11−ζ13+ζ140−1+i32000−3−3i33+3i321+i30−1−i32ζ−ζ2+ζ4−ζ8+ζ11+ζ14ζ2+ζ7+ζ8−ζ11+ζ13−ζ140−1−i32000
χ238-402-21100-100−4+4i32−2i30−1+i31−i3−1+i32−1+i32001−i3200−4−4i32+2i30−1−i31+i3−1−i32−1−i32001+i3200
χ2410-52-20000-1100−5+5i35−5i32−1+i31−i300001−i32−1+i3200−5−5i35+5i32−1−i31+i300001+i32−1−i3200
χ25111111111111−1−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
χ261111111-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32
χ272-1222-1-10-1-100−1−i31+i32−1−i3−1−i3−1−i31+i321+i3201+i321+i3200−1+i31−i32−1+i3−1+i3−1+i31−i321−i3201−i321−i3200
χ284401-1-1-1201-10−2−2i3−2−2i30−1−i321+i321+i321+i32−1−i30−1−i321+i320−2+2i3−2+2i30−1+i321−i321−i321−i32−1+i30−1+i321−i320
χ294401-1-1-1-20110−2−2i3−2−2i30−1−i321+i321+i321+i321+i30−1−i32−1−i320−2+2i3−2+2i30−1+i321−i321−i321−i321−i30−1+i32−1+i320
χ30551-100011-11-1−5−5i32−5−5i32−1−i321+i32000−1−i32−1−i321+i32−1−i321+i32−5+5i32−5+5i32−1+i321−i32000−1+i32−1+i321−i32−1+i321−i32
χ31551-1000-11-1-11−5−5i32−5−5i32−1−i321+i320001+i32−1−i321+i321+i32−1−i32−5+5i32−5+5i32−1+i321−i320001−i32−1+i321−i321−i32−1+i32
χ3266-201110-2000−3−3i3−3−3i31+i30−1−i32−1−i32−1−i3201+i3000−3+3i3−3+3i31−i30−1+i32−1+i32−1+i3201−i3000
χ336-3-201−1−i152−1+i15201000−3−3i33+3i321+i30−1−i32ζ2+ζ7+ζ8−ζ11+ζ13−ζ14ζ−ζ2+ζ4−ζ8+ζ11+ζ140−1−i32000−3+3i33−3i321−i30−1+i32ζ+ζ4−ζ7+ζ11−ζ13+ζ14−ζ+ζ2−ζ4+ζ7+ζ8+ζ130−1+i32000
χ346-3-201−1+i152−1−i15201000−3−3i33+3i321+i30−1−i32ζ−ζ2+ζ4−ζ8+ζ11+ζ14ζ2+ζ7+ζ8−ζ11+ζ13−ζ140−1−i32000−3+3i33−3i321−i30−1+i32−ζ+ζ2−ζ4+ζ7+ζ8+ζ13ζ+ζ4−ζ7+ζ11−ζ13+ζ140−1+i32000
χ358-402-21100-100−4−4i32+2i30−1−i31+i3−1−i32−1−i32001+i3200−4+4i32−2i30−1+i31−i3−1+i32−1+i32001−i3200
χ3610-52-20000-1100−5−5i35+5i32−1−i31+i300001+i32−1−i3200−5+5i35−5i32−1+i31−i300001−i32−1+i3200

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