Finite Group Databasebeta

← Group #66387

Character table — Group #66387

Order 324.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26
size12336661818182727271233666181818272727
order13339993332662666181818666266
χ111111111111111111111111111
χ21111111111-1-1-11111111111-1-1-1
χ32222222-1-1-10002222222-1-1-1000
χ42222-1-1-12-1-10002222-1-1-12-1-1000
χ52222-1-1-1-12-10002222-1-1-1-12-1000
χ62222-1-1-1-1-120002222-1-1-1-1-12000
χ733−3+3i32−3−3i320000001−1+i32−1−i3233−3+3i32−3−3i320000001−1+i32−1−i32
χ833−3+3i32−3−3i32000000-11−i321+i3233−3+3i32−3−3i32000000-11−i321+i32
χ933−3−3i32−3+3i320000001−1−i32−1+i3233−3−3i32−3+3i320000001−1−i32−1+i32
χ1033−3−3i32−3+3i32000000-11+i321−i3233−3−3i32−3+3i32000000-11+i321−i32
χ116-300ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ50000006-300ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5000000
χ126-300ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ50000006-300ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5000000
χ136-300−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ50000006-300−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5000000
χ141111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ151111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ162222222-1-1-1000-2-2-2-2-2-2-2111000
χ172222-1-1-12-1-1000-2-2-2-2111-211000
χ182222-1-1-1-12-1000-2-2-2-21111-21000
χ192222-1-1-1-1-12000-2-2-2-211111-2000
χ2033−3+3i32−3−3i320000001−1+i32−1−i32-3-33−3i323+3i32000000-11−i321+i32
χ2133−3+3i32−3−3i32000000-11−i321+i32-3-33−3i323+3i320000001−1+i32−1−i32
χ2233−3−3i32−3+3i320000001−1−i32−1+i32-3-33+3i323−3i32000000-11+i321−i32
χ2333−3−3i32−3+3i32000000-11+i321−i32-3-33+3i323−3i320000001−1−i32−1+i32
χ246-300ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5000000-6300−ζ+ζ2−2ζ4−ζ5−ζ+ζ2+ζ4+2ζ52ζ−2ζ2+ζ4−ζ5000000
χ256-300ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5000000-6300−ζ+ζ2+ζ4+2ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2−2ζ4−ζ5000000
χ266-300−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5000000-63002ζ−2ζ2+ζ4−ζ5−ζ+ζ2−2ζ4−ζ5−ζ+ζ2+ζ4+2ζ5000000

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