Finite Group Databasebeta

← Group #92321

Character table — Group #92321

Order 486.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39
size111222333333666666666181818181818181818272727272727272727
order133333333333333333333333999999266666666
χ1111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ3111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ4111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321+i321+i321+i32
χ5111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ6111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321−i321−i321−i32
χ7222222222222222222222-1-1-1-1-1-1-1-1-1000000000
χ8222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32000000000
χ9222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32000000000
χ10222-1-1-12222222-1-1-1-1-1-1-1-12-1-12-1-12-1-1000000000
χ11222-1-1-12222222-1-1-1-1-1-1-1-1-12-1-12-1-12-1000000000
χ12222-1-1-12222222-1-1-1-1-1-1-1-1-1-12-1-12-1-12000000000
χ13222-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-11−i321−i321−i321+i321+i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i32000000000
χ14222-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-11−i321−i321−i321+i321+i321+i32-12-11−i32−1+i31−i321+i32−1−i31+i32000000000
χ15222-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-11−i321−i321−i321+i321+i321+i32-1-121−i321−i32−1+i31+i321+i32−1−i3000000000
χ16222-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-11+i321+i321+i321−i321−i321−i322-1-1−1−i31+i321+i32−1+i31−i321−i32000000000
χ17222-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-11+i321+i321+i321−i321−i321−i32-12-11+i32−1−i31+i321−i32−1+i31−i32000000000
χ18222-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-11+i321+i321+i321−i321−i321−i32-1-121+i321+i32−1−i31−i321−i32−1+i3000000000
χ193−3+3i32−3−3i323−3+3i32−3−3i32i33−i32−3−i323+i32−3+i32−i3000i33−i32−3−i323+i32−3+i32−i30000000001−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ203−3+3i32−3−3i323−3+3i32−3−3i32i33−i32−3−i323+i32−3+i32−i3000i33−i32−3−i323+i32−3+i32−i3000000000-11−i321+i32-11−i321+i32-11−i321+i32
χ213−3+3i32−3−3i323−3+3i32−3−3i323−i32−3−i32i3−3+i32−i33+i320003−i32−3−i32i3−3+i32−i33+i320000000001−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ223−3+3i32−3−3i323−3+3i32−3−3i323−i32−3−i32i3−3+i32−i33+i320003−i32−3−i32i3−3+i32−i33+i32000000000-11−i321+i321+i32-11−i321−i321+i32-1
χ233−3+3i32−3−3i323−3+3i32−3−3i32−3−i32i33−i32−i33+i32−3+i32000−3−i32i33−i32−i33+i32−3+i320000000001−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ243−3+3i32−3−3i323−3+3i32−3−3i32−3−i32i33−i32−i33+i32−3+i32000−3−i32i33−i32−i33+i32−3+i32000000000-11−i321+i321−i321+i32-11+i32-11−i32
χ253−3−3i32−3+3i323−3−3i32−3+3i323+i32−3+i32−i3−3−i32i33−i320003+i32−3+i32−i3−3−i32i33−i320000000001−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ263−3−3i32−3+3i323−3−3i32−3+3i323+i32−3+i32−i3−3−i32i33−i320003+i32−3+i32−i3−3−i32i33−i32000000000-11+i321−i321−i32-11+i321+i321−i32-1
χ273−3−3i32−3+3i323−3−3i32−3+3i32−3+i32−i33+i32i33−i32−3−i32000−3+i32−i33+i32i33−i32−3−i320000000001−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ283−3−3i32−3+3i323−3−3i32−3+3i32−3+i32−i33+i32i33−i32−3−i32000−3+i32−i33+i32i33−i32−3−i32000000000-11+i321−i321+i321−i32-11−i32-11+i32
χ293−3−3i32−3+3i323−3−3i32−3+3i32−i33+i32−3+i323−i32−3−i32i3000−i33+i32−3+i323−i32−3−i32i30000000001−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ303−3−3i32−3+3i323−3−3i32−3+3i32−i33+i32−3+i323−i32−3−i32i3000−i33+i32−3+i323−i32−3−i32i3000000000-11+i321−i32-11+i321−i32-11+i321−i32
χ31666666000000-3-3-3000000000000000000000000
χ32666-3-3-3000000-36-3000000000000000000000000
χ33666-3-3-3000000-3-36000000000000000000000000
χ346−3+3i3−3−3i3-33−3i323+3i322i33−i3−3−i33+i3−3+i3−2i3000−i3−3+i323+i32−3−i323−i32i3000000000000000000
χ356−3+3i3−3−3i3-33−3i323+3i323−i3−3−i32i3−3+i3−2i33+i3000−3+i323+i32−i33−i32i3−3−i32000000000000000000
χ366−3+3i3−3−3i3-33−3i323+3i32−3−i32i33−i3−2i33+i3−3+i30003+i32−i3−3+i32i3−3−i323−i32000000000000000000
χ376−3−3i3−3+3i3-33+3i323−3i323+i3−3+i3−2i3−3−i32i33−i3000−3−i323−i32i33+i32−i3−3+i32000000000000000000
χ386−3−3i3−3+3i3-33+3i323−3i32−3+i3−2i33+i32i33−i3−3−i30003−i32i3−3−i32−i3−3+i323+i32000000000000000000
χ396−3−3i3−3+3i3-33+3i323−3i32−2i33+i3−3+i33−i3−3−i32i3000i3−3−i323−i32−3+i323+i32−i3000000000000000000

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