Finite Group Databasebeta

← Group #66385

Character table — Group #66385

Order 324.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26
size12336661818182727271233666181818272727
order1333333399266266666661818266
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
χ116-30003-30000006-30003-3000000
χ126-3003-300000006-3003-30000000
χ136-300-3030000006-300-303000000
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
χ246-30003-3000000-63000-33000000
χ256-3003-30000000-6300-330000000
χ266-300-303000000-630030-3000000

Here i is the imaginary unit (i² = −1).