Finite Group Databasebeta

← Group #14518055

Character table — Group #14518055

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size111222333333333666999999181818181818181818181818242424242424242424545454545454545454545454545454545454727272727272
order13333323333336666666666633366666666699999999924666666661212121212121212999999
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ31111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+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−i321111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32
χ41111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+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−i32-1-1-1-11−i321−i321−i321+i321+i321+i32-1-11−i321−i321−i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32
χ51111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−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+i321111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32
χ61111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−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+i32-1-1-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321+i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32
χ7222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1000000000000000000-1-1-1-1-1-1
χ8222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1222222222000000000000000000-1-1-1-1-1-1
χ9222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002-12-12-1
χ10222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-12-12-12
χ112222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32−1+i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32000000000000000000-1-11−i321−i321+i321+i32
χ122222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3000000000000000000-1-11−i321−i321+i321+i32
χ132222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i320000000000000000002-1−1+i31−i32−1−i31+i32
χ142222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32000000000000000000-121−i32−1+i31+i32−1−i3
χ152222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32−1−i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32000000000000000000-1-11+i321+i321−i321−i32
χ162222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3000000000000000000-1-11+i321+i321−i321−i32
χ172222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i320000000000000000002-1−1−i31+i32−1+i31−i32
χ182222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32000000000000000000-121+i32−1−i31−i32−1+i3
χ19333333-1333333-1-1-1-1-1-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-10000000001-111111111-1-1-1-1-1-1-1-1000000
χ20333333-1333333-1-1-1-1-1-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-1000000000-11-1-1-1-1-1-1-1-111111111000000
χ21333333-1−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-1-1-1-11−i321−i321−i321+i321+i321+i323−3+3i32−3−3i32-1-1-11−i321−i321−i321+i321+i321+i320000000001-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321−i321−i321+i321+i321+i32000000
χ22333333-1−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-1-1-1-11−i321−i321−i321+i321+i321+i323−3+3i32−3−3i32-1-1-11−i321−i321−i321+i321+i321+i32000000000-11-1-11−i321−i321−i321+i321+i321+i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000
χ23333333-1−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1-1-1-1-11+i321+i321+i321−i321−i321−i323−3−3i32−3+3i32-1-1-11+i321+i321+i321−i321−i321−i320000000001-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321+i321+i321−i321−i321−i32000000
χ24333333-1−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1-1-1-1-11+i321+i321+i321−i321−i321−i323−3−3i32−3+3i32-1-1-11+i321+i321+i321−i321−i321−i32000000000-11-1-11+i321+i321+i321−i321−i321−i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000
χ253−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i323−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i323−3+3i32−3−3i3200000000000000000000011−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32000000
χ263−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i323−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i323−3+3i32−3−3i32000000000000000000000-1-11−i321+i32-11−i321+i32-11−i321+i321−i321+i32-11−i321+i32-11−i321+i32000000
χ273−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i323−3−3i323−3+3i32−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3−3i323−3+3i3200000000000000000000011−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32000000
χ283−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i323−3−3i323−3+3i32−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3−3i323−3+3i32000000000000000000000-1-11−i321+i321−i321+i32-11+i32-11−i321−i321+i321−i321+i32-11+i32-11−i32000000
χ293−3+3i32−3−3i32−3+3i32−3−3i3233−3−3i323−3+3i32−3+3i32−3−3i323−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i32−3+3i32−3−3i32300000000000000000000011−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321000000
χ303−3+3i32−3−3i32−3+3i32−3−3i3233−3−3i323−3+3i32−3+3i32−3−3i323−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i32−3+3i32−3−3i323000000000000000000000-1-11−i321+i321+i32-11−i321−i321+i32-11−i321+i321+i32-11−i321−i321+i32-1000000
χ313−3+3i32−3−3i32−3+3i32−3−3i323-13−3+3i32−3−3i323−3+3i32−3−3i321−i321+i321−i321+i32-1-11−i321+i32-11−i321+i320002−1+i3−1−i32−1+i3−1−i32−1+i3−1−i30000000001-1−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−i321+i32-11−i321+i32-11−i321+i32000000
χ323−3+3i32−3−3i32−3+3i32−3−3i323-13−3+3i32−3−3i323−3+3i32−3−3i321−i321+i321−i321+i32-1-11−i321+i32-11−i321+i320002−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3000000000-111−i321+i32-11−i321+i32-11−i321+i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32000000
χ333−3+3i32−3−3i32−3+3i32−3−3i323-1−3+3i32−3−3i323−3−3i323−3+3i321−i321+i321−i321+i32-11−i321+i32-11+i32-11−i320002−1+i3−1−i3−1+i3−1−i32−1−i32−1+i30000000001-1−1+i32−1−i32−1+i32−1−i321−1−i321−1+i321−i321+i321−i321+i32-11+i32-11−i32000000
χ343−3+3i32−3−3i32−3+3i32−3−3i323-1−3+3i32−3−3i323−3−3i323−3+3i321−i321+i321−i321+i32-11−i321+i32-11+i32-11−i320002−1+i3−1−i3−1+i3−1−i32−1−i32−1+i3000000000-111−i321+i321−i321+i32-11+i32-11−i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32000000
χ353−3+3i32−3−3i32−3+3i32−3−3i323-1−3−3i323−3+3i32−3+3i32−3−3i3231−i321+i321−i321+i32-11+i32-11−i321−i321+i32-10002−1+i3−1−i3−1−i32−1+i3−1+i3−1−i320000000001-1−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3211−i321+i321+i32-11−i321−i321+i32-1000000
χ363−3+3i32−3−3i32−3+3i32−3−3i323-1−3−3i323−3+3i32−3+3i32−3−3i3231−i321+i321−i321+i32-11+i32-11−i321−i321+i32-10002−1+i3−1−i3−1−i32−1+i3−1+i3−1−i32000000000-111−i321+i321+i32-11−i321−i321+i32-1−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321000000
χ373−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i323−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i323−3−3i32−3+3i3200000000000000000000011−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32000000
χ383−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i323−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i323−3−3i32−3+3i32000000000000000000000-1-11+i321−i32-11+i321−i32-11+i321−i321+i321−i32-11+i321−i32-11+i321−i32000000
χ393−3−3i32−3+3i32−3−3i32−3+3i3233−3+3i323−3−3i32−3−3i32−3+3i323−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i32−3−3i32−3+3i32300000000000000000000011−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321000000
χ403−3−3i32−3+3i32−3−3i32−3+3i3233−3+3i323−3−3i32−3−3i32−3+3i323−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i32−3−3i32−3+3i323000000000000000000000-1-11+i321−i321−i32-11+i321+i321−i32-11+i321−i321−i32-11+i321+i321−i32-1000000
χ413−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i323−3+3i323−3−3i32−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3+3i323−3−3i3200000000000000000000011−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32000000
χ423−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i323−3+3i323−3−3i32−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3+3i323−3−3i32000000000000000000000-1-11+i321−i321+i321−i32-11−i32-11+i321+i321−i321+i321−i32-11−i32-11+i32000000
χ433−3−3i32−3+3i32−3−3i32−3+3i323-13−3−3i32−3+3i323−3−3i32−3+3i321+i321−i321+i321−i32-1-11+i321−i32-11+i321−i320002−1−i3−1+i32−1−i3−1+i32−1−i3−1+i30000000001-1−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321+i321−i32-11+i321−i32-11+i321−i32000000
χ443−3−3i32−3+3i32−3−3i32−3+3i323-13−3−3i32−3+3i323−3−3i32−3+3i321+i321−i321+i321−i32-1-11+i321−i32-11+i321−i320002−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3000000000-111+i321−i32-11+i321−i32-11+i321−i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32000000
χ453−3−3i32−3+3i32−3−3i32−3+3i323-1−3+3i323−3−3i32−3−3i32−3+3i3231+i321−i321+i321−i32-11−i32-11+i321+i321−i32-10002−1−i3−1+i3−1+i32−1−i3−1−i3−1+i320000000001-1−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211+i321−i321−i32-11+i321+i321−i32-1000000
χ463−3−3i32−3+3i32−3−3i32−3+3i323-1−3+3i323−3−3i32−3−3i32−3+3i3231+i321−i321+i321−i32-11−i32-11+i321+i321−i32-10002−1−i3−1+i3−1+i32−1−i3−1−i3−1+i32000000000-111+i321−i321−i32-11+i321+i321−i32-1−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321000000
χ473−3−3i32−3+3i32−3−3i32−3+3i323-1−3−3i32−3+3i323−3+3i323−3−3i321+i321−i321+i321−i32-11+i321−i32-11−i32-11+i320002−1−i3−1+i3−1−i3−1+i32−1+i32−1−i30000000001-1−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321+i321−i321+i321−i32-11−i32-11+i32000000
χ483−3−3i32−3+3i32−3−3i32−3+3i323-1−3−3i32−3+3i323−3+3i323−3−3i321+i321−i321+i321−i32-11+i321−i32-11−i32-11+i320002−1−i3−1+i3−1−i3−1+i32−1+i32−1−i3000000000-111+i321−i321+i321−i32-11−i32-11+i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32000000
χ49666666-2666666-2-2-2-2-2-2-2-2-2-2-2-3-3-3111111111000000000000000000000000000000000
χ50666666-2−3+3i3−3+3i3−3+3i3−3−3i3−3−3i3−3−3i3-2-2-2-2-21−i31−i31−i31+i31+i31+i3-33−3i323+3i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000000000000000000000000000
χ51666666-2−3−3i3−3−3i3−3−3i3−3+3i3−3+3i3−3+3i3-2-2-2-2-21+i31+i31+i31−i31−i31−i3-33+3i323−3i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000000000000000000000000000
χ52666-3-3-3600000066-3-3-30000000000000000003ζ+3ζ83ζ2+3ζ73ζ4+3ζ5000000000000000000000000000000
χ53666-3-3-3600000066-3-3-30000000000000000003ζ2+3ζ73ζ4+3ζ53ζ+3ζ8000000000000000000000000000000
χ54666-3-3-3600000066-3-3-30000000000000000003ζ4+3ζ53ζ+3ζ83ζ2+3ζ7000000000000000000000000000000
χ556−3+3i3−3−3i3−3+3i3−3−3i36-26−3+3i3−3−3i36−3+3i3−3−3i31−i31+i31−i31+i3-2-21−i31+i3-21−i31+i3000-21−i31+i3-21−i31+i3-21−i31+i3000000000000000000000000000000000
χ566−3+3i3−3−3i3−3+3i3−3−3i36-2−3+3i3−3−3i36−3−3i36−3+3i31−i31+i31−i31+i3-21−i31+i3-21+i3-21−i3000-21−i31+i31−i31+i3-21+i3-21−i3000000000000000000000000000000000
χ576−3+3i3−3−3i3−3+3i3−3−3i36-2−3−3i36−3+3i3−3+3i3−3−3i361−i31+i31−i31+i3-21+i3-21−i31−i31+i3-2000-21−i31+i31+i3-21−i31−i31+i3-2000000000000000000000000000000000
χ586−3+3i3−3−3i33−3i323+3i32-36000000−3+3i3−3−3i33−3i323+3i32-30000000000000000000003ζ3ζ43ζ73ζ23ζ53ζ8000000000000000000000000
χ596−3+3i3−3−3i33−3i323+3i32-36000000−3+3i3−3−3i33−3i323+3i32-30000000000000000000003ζ43ζ73ζ3ζ83ζ23ζ5000000000000000000000000
χ606−3+3i3−3−3i33−3i323+3i32-36000000−3+3i3−3−3i33−3i323+3i32-30000000000000000000003ζ73ζ3ζ43ζ53ζ83ζ2000000000000000000000000
χ616−3−3i3−3+3i3−3−3i3−3+3i36-26−3−3i3−3+3i36−3−3i3−3+3i31+i31−i31+i31−i3-2-21+i31−i3-21+i31−i3000-21+i31−i3-21+i31−i3-21+i31−i3000000000000000000000000000000000
χ626−3−3i3−3+3i3−3−3i3−3+3i36-2−3+3i36−3−3i3−3−3i3−3+3i361+i31−i31+i31−i3-21−i3-21+i31+i31−i3-2000-21+i31−i31−i3-21+i31+i31−i3-2000000000000000000000000000000000
χ636−3−3i3−3+3i3−3−3i3−3+3i36-2−3−3i3−3+3i36−3+3i36−3−3i31+i31−i31+i31−i3-21+i31−i3-21−i3-21+i3000-21+i31−i31+i31−i3-21−i3-21+i3000000000000000000000000000000000
χ646−3−3i3−3+3i33+3i323−3i32-36000000−3−3i3−3+3i33+3i323−3i32-30000000000000000000003ζ23ζ83ζ53ζ43ζ3ζ7000000000000000000000000
χ656−3−3i3−3+3i33+3i323−3i32-36000000−3−3i3−3+3i33+3i323−3i32-30000000000000000000003ζ53ζ23ζ83ζ3ζ73ζ4000000000000000000000000
χ666−3−3i3−3+3i33+3i323−3i32-36000000−3−3i3−3+3i33+3i323−3i32-30000000000000000000003ζ83ζ53ζ23ζ73ζ43ζ000000000000000000000000
χ67181818-9-9-9-6000000-6-6333000000000000000000000000000000000000000000000000000
χ6818−9+9i3−9−9i39−9i329+9i32-9-60000003−3i33+3i3−3+3i32−3−3i323000000000000000000000000000000000000000000000000000
χ6918−9−9i3−9+9i39+9i329−9i32-9-60000003+3i33−3i3−3−3i32−3+3i323000000000000000000000000000000000000000000000000000

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