Finite Group Databasebeta

← Group #92307

Character table — Group #92307

Order 486.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39
size111222333333666666666181818181818181818272727272727272727
order133333999999333999999999999999266181818181818
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
χ8222222222222-1-1-1-1-1-1-1-1-12-1-12-1-12-1-1000000000
χ9222222222222-1-1-1-1-1-1-1-1-1-12-1-12-1-12-1000000000
χ10222222222222-1-1-1-1-1-1-1-1-1-1-12-1-12-1-12000000000
χ11222222−1+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
χ12222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i32000000000
χ13222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-12-11−i32−1+i31−i321+i32−1−i31+i32000000000
χ14222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-1-121−i321−i32−1+i31+i321+i32−1−i3000000000
χ15222222−1−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
χ16222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i322-1-1−1−i31+i321+i32−1+i31−i321−i32000000000
χ17222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-12-11+i32−1−i31+i321−i32−1+i31−i32000000000
χ18222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-1-121+i321+i32−1−i31−i321−i32−1+i3000000000
χ193−3+3i32−3−3i323−3+3i32−3−3i323ζ3ζ43ζ73ζ23ζ53ζ80000000000000000001−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ8
χ203−3+3i32−3−3i323−3+3i32−3−3i323ζ3ζ43ζ73ζ23ζ53ζ8000000000000000000-11−i321+i32−ζ−ζ4−ζ7−ζ2−ζ5−ζ8
χ213−3+3i32−3−3i323−3+3i32−3−3i323ζ43ζ73ζ3ζ83ζ23ζ50000000000000000001−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ5
χ223−3+3i32−3−3i323−3+3i32−3−3i323ζ43ζ73ζ3ζ83ζ23ζ5000000000000000000-11−i321+i32−ζ4−ζ7−ζ−ζ8−ζ2−ζ5
χ233−3+3i32−3−3i323−3+3i32−3−3i323ζ73ζ3ζ43ζ53ζ83ζ20000000000000000001−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ2
χ243−3+3i32−3−3i323−3+3i32−3−3i323ζ73ζ3ζ43ζ53ζ83ζ2000000000000000000-11−i321+i32−ζ7−ζ−ζ4−ζ5−ζ8−ζ2
χ253−3−3i32−3+3i323−3−3i32−3+3i323ζ23ζ83ζ53ζ43ζ3ζ70000000000000000001−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ7
χ263−3−3i32−3+3i323−3−3i32−3+3i323ζ23ζ83ζ53ζ43ζ3ζ7000000000000000000-11+i321−i32−ζ2−ζ8−ζ5−ζ4−ζ−ζ7
χ273−3−3i32−3+3i323−3−3i32−3+3i323ζ53ζ23ζ83ζ3ζ73ζ40000000000000000001−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ4
χ283−3−3i32−3+3i323−3−3i32−3+3i323ζ53ζ23ζ83ζ3ζ73ζ4000000000000000000-11+i321−i32−ζ5−ζ2−ζ8−ζ−ζ7−ζ4
χ293−3−3i32−3+3i323−3−3i32−3+3i323ζ83ζ53ζ23ζ73ζ43ζ0000000000000000001−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ
χ303−3−3i32−3+3i323−3−3i32−3+3i323ζ83ζ53ζ23ζ73ζ43ζ000000000000000000-11+i321−i32−ζ8−ζ5−ζ2−ζ7−ζ4−ζ
χ31666-3-3-30000006-3-3000000000000000000000000
χ32666-3-3-3000000-36-3000000000000000000000000
χ33666-3-3-3000000-3-36000000000000000000000000
χ346−3+3i3−3−3i3-33−3i323+3i320000000003ζ3ζ43ζ73ζ23ζ53ζ8000000000000000000
χ356−3+3i3−3−3i3-33−3i323+3i320000000003ζ43ζ73ζ3ζ83ζ23ζ5000000000000000000
χ366−3+3i3−3−3i3-33−3i323+3i320000000003ζ73ζ3ζ43ζ53ζ83ζ2000000000000000000
χ376−3−3i3−3+3i3-33+3i323−3i320000000003ζ23ζ83ζ53ζ43ζ3ζ7000000000000000000
χ386−3−3i3−3+3i3-33+3i323−3i320000000003ζ53ζ23ζ83ζ3ζ73ζ4000000000000000000
χ396−3−3i3−3+3i3-33+3i323−3i320000000003ζ83ζ53ζ23ζ73ζ43ζ000000000000000000

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