Finite Group Databasebeta

← Group #13181840

Character table — Group #13181840

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size199999996464646464646464199999996464646464646464199999996464646464646464
order122222223399999936666666339999993666666633999999
χ1111111111111111111111111111111111111111111111111
χ21111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ31111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ411111111−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ811111111−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ811111111−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ8
χ511111111−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ511111111−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ511111111−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ5
χ611111111−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ211111111−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ211111111−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ2
χ711111111−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ711111111−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ711111111−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ7
χ811111111−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ411111111−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ411111111−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ4
χ911111111−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ11111111−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ11111111−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ
χ1091115-3-3-30000000091115-3-3-30000000091115-3-3-300000000
χ11915-3-311-300000000915-3-311-300000000915-3-311-300000000
χ1291-3-315-310000000091-3-315-310000000091-3-315-3100000000
χ1395-31-3-3110000000095-31-3-3110000000095-31-3-31100000000
χ149-315-31-31000000009-315-31-31000000009-315-31-3100000000
χ159-31-31-315000000009-31-31-315000000009-31-31-31500000000
χ169-3-31115-3000000009-3-31115-3000000009-3-31115-300000000
χ171111111111111111−1+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−i32−1−i32−1−i32
χ181111111111−1+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−i32111−1−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
χ191111111111−1−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+i32111−1−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+i32111
χ2011111111−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ8−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321ζ4ζ7ζζ5ζ8ζ2−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32ζ7ζζ4ζ8ζ2ζ5
χ2111111111−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ5−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321ζ7ζζ4ζ2ζ5ζ8−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32ζζ4ζ7ζ5ζ8ζ2
χ2211111111−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ2−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321ζζ4ζ7ζ8ζ2ζ5−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32ζ4ζ7ζζ2ζ5ζ8
χ2311111111−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ7−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32ζ5ζ2ζ8ζ7ζ4ζ−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321ζ8ζ5ζ2ζζ7ζ4
χ2411111111−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ4−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32ζ8ζ5ζ2ζ4ζζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321ζ2ζ8ζ5ζ7ζ4ζ
χ2511111111−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32ζ2ζ8ζ5ζζ7ζ4−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321ζ5ζ2ζ8ζ4ζζ7
χ2691115-3-3-300000000−9+9i32−1+i32−1+i32−1+i32−5+5i323−3i323−3i323−3i3200000000−9−9i32−1−i32−1−i32−1−i32−5−5i323+3i323+3i323+3i3200000000
χ27915-3-311-300000000−9+9i32−1+i32−5+5i323−3i323−3i32−1+i32−1+i323−3i3200000000−9−9i32−1−i32−5−5i323+3i323+3i32−1−i32−1−i323+3i3200000000
χ2891-3-315-3100000000−9+9i32−1+i323−3i323−3i32−1+i32−5+5i323−3i32−1+i3200000000−9−9i32−1−i323+3i323+3i32−1−i32−5−5i323+3i32−1−i3200000000
χ2995-31-3-31100000000−9+9i32−5+5i323−3i32−1+i323−3i323−3i32−1+i32−1+i3200000000−9−9i32−5−5i323+3i32−1−i323+3i323+3i32−1−i32−1−i3200000000
χ309-315-31-3100000000−9+9i323−3i32−1+i32−5+5i323−3i32−1+i323−3i32−1+i3200000000−9−9i323+3i32−1−i32−5−5i323+3i32−1−i323+3i32−1−i3200000000
χ319-31-31-31500000000−9+9i323−3i32−1+i323−3i32−1+i323−3i32−1+i32−5+5i3200000000−9−9i323+3i32−1−i323+3i32−1−i323+3i32−1−i32−5−5i3200000000
χ329-3-31115-300000000−9+9i323−3i323−3i32−1+i32−1+i32−1+i32−5+5i323−3i3200000000−9−9i323+3i323+3i32−1−i32−1−i32−1−i32−5−5i323+3i3200000000
χ331111111111111111−1−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+i32−1+i32−1+i32
χ341111111111−1+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−i32111−1+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−i32111
χ351111111111−1−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+i32111−1+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
χ3611111111−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ8−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32ζ7ζζ4ζ8ζ2ζ5−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321ζ4ζ7ζζ5ζ8ζ2
χ3711111111−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ5−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32ζζ4ζ7ζ5ζ8ζ2−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321ζ7ζζ4ζ2ζ5ζ8
χ3811111111−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ2−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32ζ4ζ7ζζ2ζ5ζ8−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321ζζ4ζ7ζ8ζ2ζ5
χ3911111111−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321ζ8ζ5ζ2ζζ7ζ4−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32ζ5ζ2ζ8ζ7ζ4ζ
χ4011111111−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ4−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321ζ2ζ8ζ5ζ7ζ4ζ−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32ζ8ζ5ζ2ζ4ζζ7
χ4111111111−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321ζ5ζ2ζ8ζ4ζζ7−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32ζ2ζ8ζ5ζζ7ζ4
χ4291115-3-3-300000000−9−9i32−1−i32−1−i32−1−i32−5−5i323+3i323+3i323+3i3200000000−9+9i32−1+i32−1+i32−1+i32−5+5i323−3i323−3i323−3i3200000000
χ43915-3-311-300000000−9−9i32−1−i32−5−5i323+3i323+3i32−1−i32−1−i323+3i3200000000−9+9i32−1+i32−5+5i323−3i323−3i32−1+i32−1+i323−3i3200000000
χ4491-3-315-3100000000−9−9i32−1−i323+3i323+3i32−1−i32−5−5i323+3i32−1−i3200000000−9+9i32−1+i323−3i323−3i32−1+i32−5+5i323−3i32−1+i3200000000
χ4595-31-3-31100000000−9−9i32−5−5i323+3i32−1−i323+3i323+3i32−1−i32−1−i3200000000−9+9i32−5+5i323−3i32−1+i323−3i323−3i32−1+i32−1+i3200000000
χ469-315-31-3100000000−9−9i323+3i32−1−i32−5−5i323+3i32−1−i323+3i32−1−i3200000000−9+9i323−3i32−1+i32−5+5i323−3i32−1+i323−3i32−1+i3200000000
χ479-31-31-31500000000−9−9i323+3i32−1−i323+3i32−1−i323+3i32−1−i32−5−5i3200000000−9+9i323−3i32−1+i323−3i32−1+i323−3i32−1+i32−5+5i3200000000
χ489-3-31115-300000000−9−9i323+3i323+3i32−1−i32−1−i32−1−i32−5−5i323+3i3200000000−9+9i323−3i323−3i32−1+i32−1+i32−1+i32−5+5i323−3i3200000000

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