Finite Group Databasebeta

← Group #14518231

Character table — Group #14518231

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111222333666666121212121212181818181818181818181818181818242424242424272727727272727272818181108108108108108108
order133333266333666333333666999181818181818181818333333266999999266666666
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1111111-1-1-1-1-1-1-1-1-1
χ3111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111111−1+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
χ4111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321+i321+i321+i32
χ5111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111111−1−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
χ6111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321−i321−i321−i32
χ7222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1222222000-1-1-1-1-1-1000000000
χ8222222222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i30001−i321−i321−i321+i321+i321+i32000000000
χ9222222222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i30001+i321+i321+i321−i321−i321−i32000000000
χ10222222222-1-1-1222222222-1-1-12-1-1222-1-1-1-1-1-1-1-1-1-1-1-10002-1-12-1-1000000000
χ11222222222-1-1-1222222222-1-1-1-12-1-1-1-1222-1-1-1-1-1-1-1-1-1000-12-1-12-1000000000
χ12222222222-1-1-1222222222-1-1-1-1-12-1-1-1-1-1-1222-1-1-1-1-1-1000-1-12-1-12000000000
χ13222222222-1-1-1222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-12-1-1222-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32000−1+i31−i321−i32−1−i31+i321+i32000000000
χ14222222222-1-1-1222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-12-1-1-1-1222-1-1-11−i321−i321−i321+i321+i321+i320001−i32−1+i31−i321+i32−1−i31+i32000000000
χ15222222222-1-1-1222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-12-1-1-1-1-1-12221−i321−i321−i321+i321+i321+i320001−i321−i32−1+i31+i321+i32−1−i3000000000
χ16222222222-1-1-1222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-12-1-1222-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32000−1−i31+i321+i32−1+i31−i321−i32000000000
χ17222222222-1-1-1222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-12-1-1-1-1222-1-1-11+i321+i321+i321−i321−i321−i320001+i32−1−i31+i321−i32−1+i31−i32000000000
χ18222222222-1-1-1222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-12-1-1-1-1-1-12221+i321+i321+i321−i321−i321−i320001+i321+i32−1−i31−i321−i32−1+i3000000000
χ19333333-1-1-1333-1-1-1000000-1-1-1333-1-1-1-1-1-1-1-1-1000000333000000-1-1-1000000
χ20333333-1-1-1333-1-1-1000000-1-1-1333-1-1-1-1-1-1-1-1-1000000-3-3-3000000111000000
χ213−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32000−3+3i32−3−3i3233−3+3i32−3−3i323−3+3i32−3−3i320000000000000000000001−1+i32−1−i320000001−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ223−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32000−3+3i32−3−3i3233−3+3i32−3−3i323−3+3i32−3−3i32000000000000000000000-11−i321+i32000000-11−i321+i32-11−i321+i32-11−i321+i32
χ233−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32000−3+3i32−3−3i323−3+3i32−3−3i323−3−3i323−3+3i320000000000000000000001−1+i32−1−i320000001−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ243−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32000−3+3i32−3−3i323−3+3i32−3−3i323−3−3i323−3+3i32000000000000000000000-11−i321+i32000000-11−i321+i321−i321+i32-11+i32-11−i32
χ253−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32000−3+3i32−3−3i323−3−3i323−3+3i32−3+3i32−3−3i3230000000000000000000001−1+i32−1−i320000001−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ263−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32000−3+3i32−3−3i323−3−3i323−3+3i32−3+3i32−3−3i323000000000000000000000-11−i321+i32000000-11−i321+i321+i32-11−i321−i321+i32-1
χ273−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32000−3−3i32−3+3i3233−3−3i32−3+3i323−3−3i32−3+3i320000000000000000000001−1−i32−1+i320000001−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ283−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32000−3−3i32−3+3i3233−3−3i32−3+3i323−3−3i32−3+3i32000000000000000000000-11+i321−i32000000-11+i321−i32-11+i321−i32-11+i321−i32
χ293−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32000−3−3i32−3+3i323−3+3i323−3−3i32−3−3i32−3+3i3230000000000000000000001−1−i32−1+i320000001−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ303−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32000−3−3i32−3+3i323−3+3i323−3−3i32−3−3i32−3+3i323000000000000000000000-11+i321−i32000000-11+i321−i321−i32-11+i321+i321−i32-1
χ313−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32000−3−3i32−3+3i323−3−3i32−3+3i323−3+3i323−3−3i320000000000000000000001−1−i32−1+i320000001−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ323−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32000−3−3i32−3+3i323−3−3i32−3+3i323−3+3i323−3−3i32000000000000000000000-11+i321−i32000000-11+i321−i321+i321−i32-11−i32-11+i32
χ33666666-2-2-2666-2-2-2000000-2-2-2-3-3-3111111111000000000000000000000000
χ34666666-2-2-2-3-3-3-2-2-20000001116-3-3-2-2-2111111000000000000000000000000
χ35666666-2-2-2-3-3-3-2-2-2000000111-36-3111-2-2-2111000000000000000000000000
χ36666666-2-2-2-3-3-3-2-2-2000000111-3-36111111-2-2-2000000000000000000000000
χ37666-3-3-36666-3-3-3-3-30000006-3-3000000000000000000000000000000000000
χ38666-3-3-3666-36-3-3-3-3000000-36-3000000000000000000000000000000000000
χ39666-3-3-3666-3-36-3-3-3000000-3-36000000000000000000000000000000000000
χ40666-3-3-3-2-2-26-3-3111000000-2110002ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ5000000000000000000000000
χ41666-3-3-3-2-2-26-3-3111000000-2110002ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ8000000000000000000000000
χ42666-3-3-3-2-2-26-3-3111000000-2110002ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ2+2ζ7000000000000000000000000
χ43666-3-3-3-2-2-2-36-31110000001-210002ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ4+2ζ52ζ+2ζ82ζ2+2ζ7000000000000000000000000
χ44666-3-3-3-2-2-2-36-31110000001-210002ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ+2ζ82ζ2+2ζ72ζ4+2ζ5000000000000000000000000
χ45666-3-3-3-2-2-2-36-31110000001-210002ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ2+2ζ72ζ4+2ζ52ζ+2ζ8000000000000000000000000
χ46666-3-3-3-2-2-2-3-3611100000011-20002ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ2+2ζ72ζ4+2ζ52ζ+2ζ8000000000000000000000000
χ47666-3-3-3-2-2-2-3-3611100000011-20002ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ+2ζ82ζ2+2ζ72ζ4+2ζ52ζ4+2ζ52ζ+2ζ82ζ2+2ζ7000000000000000000000000
χ48666-3-3-3-2-2-2-3-3611100000011-20002ζ4+2ζ52ζ+2ζ82ζ2+2ζ72ζ2+2ζ72ζ4+2ζ52ζ+2ζ82ζ+2ζ82ζ2+2ζ72ζ4+2ζ5000000000000000000000000
χ496−3+3i3−3−3i33−3i323+3i32-36−3+3i3−3−3i30003−3i323+3i32-30000000000000000000003−3+3i32−3−3i323−3+3i32−3−3i32000000000000000000
χ506−3+3i3−3−3i33−3i323+3i32-36−3+3i3−3−3i30003−3i323+3i32-3000000000000000000000−3+3i32−3−3i323−3−3i323−3+3i32000000000000000000
χ516−3+3i3−3−3i33−3i323+3i32-36−3+3i3−3−3i30003−3i323+3i32-3000000000000000000000−3−3i323−3+3i32−3+3i32−3−3i323000000000000000000
χ526−3−3i3−3+3i33+3i323−3i32-36−3−3i3−3+3i30003+3i323−3i32-30000000000000000000003−3−3i32−3+3i323−3−3i32−3+3i32000000000000000000
χ536−3−3i3−3+3i33+3i323−3i32-36−3−3i3−3+3i30003+3i323−3i32-3000000000000000000000−3+3i323−3−3i32−3−3i32−3+3i323000000000000000000
χ546−3−3i3−3+3i33+3i323−3i32-36−3−3i3−3+3i30003+3i323−3i32-3000000000000000000000−3−3i32−3+3i323−3+3i323−3−3i32000000000000000000
χ559−9+9i32−9−9i32−9+9i32−9−9i329-33−3i323+3i320003−3i323+3i32-30000000000000000000000000003−3+3i32−3−3i32000000-11−i321+i32000000
χ569−9+9i32−9−9i32−9+9i32−9−9i329-33−3i323+3i320003−3i323+3i32-3000000000000000000000000000-33−3i323+3i320000001−1+i32−1−i32000000
χ579−9−9i32−9+9i32−9−9i32−9+9i329-33+3i323−3i320003+3i323−3i32-30000000000000000000000000003−3−3i32−3+3i32000000-11+i321−i32000000
χ589−9−9i32−9+9i32−9−9i32−9+9i329-33+3i323−3i320003+3i323−3i32-3000000000000000000000000000-33+3i323−3i320000001−1−i32−1+i32000000
χ5918−9+9i3−9−9i39−9i329+9i32-9-63−3i33+3i3000−3+3i32−3−3i323000000000000000000000000000000000000000000000
χ6018−9−9i3−9+9i39+9i329−9i32-9-63+3i33−3i3000−3−3i32−3+3i323000000000000000000000000000000000000000000000

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