Finite Group Databasebeta

← Group #14518079

Character table — Group #14518079

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61
size1233333333333666999999181818181818181818181818545454545454545454545454545454545454727272727272727272
order132333333336666666666699918181818181818181824666666661212121212121212999999999
χ11111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111
χ311111−1+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−i321111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ411111−1+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−i32-1-1-1-11−i321−i321−i321+i321+i321+i32-1-11−i321−i321−i321+i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ511111−1−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+i321111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ611111−1−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+i32-1-1-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321+i321−i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ72222222222222222222222222222222222000000000000000000-1-1-1-1-1-1-1-1-1
χ82222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002-1-12-1-12-1-1
χ92222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-12-1-12-1-12-1
χ102222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-1-12-1-12-1-12
χ1122222−1+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−i3000000000000000000-1-1-11−i321−i321−i321+i321+i321+i32
χ1222222−1+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+i320000000000000000002-1-1−1+i31−i321−i32−1−i31+i321+i32
χ1322222−1+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+i32000000000000000000-12-11−i32−1+i31−i321+i32−1−i31+i32
χ1422222−1+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+i32000000000000000000-1-121−i321−i32−1+i31+i321+i32−1−i3
χ1522222−1−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+i3000000000000000000-1-1-11+i321+i321+i321−i321−i321−i32
χ1622222−1−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−i320000000000000000002-1-1−1−i31+i321+i32−1+i31−i321−i32
χ1722222−1−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−i32000000000000000000-12-11+i32−1−i31+i321−i32−1+i31−i32
χ1822222−1−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−i32000000000000000000-1-121+i321+i32−1−i31−i321−i32−1+i3
χ19333−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i3200000000000011−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32000000000
χ20333−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32000000000000-1-11−i321+i32-11−i321+i32-11−i321+i321−i321+i32-11−i321+i32-11−i321+i32000000000
χ21333−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i32−3+3i32−3−3i323−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i3200000000000011−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32000000000
χ22333−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i32−3+3i32−3−3i323−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i32000000000000-1-11−i321+i321−i321+i32-11+i32-11−i321−i321+i321−i321+i32-11+i32-11−i32000000000
χ23333−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i32300000000000011−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321000000000
χ24333−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323000000000000-1-11−i321+i321+i32-11−i321−i321+i32-11−i321+i321+i32-11−i321−i321+i32-1000000000
χ25333−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i3200000000000011−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32000000000
χ26333−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32000000000000-1-11+i321−i32-11+i321−i32-11+i321−i321+i321−i32-11+i321−i32-11+i321−i32000000000
χ27333−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i32300000000000011−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321000000000
χ28333−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323000000000000-1-11+i321−i321−i32-11+i321+i321−i32-11+i321−i321−i32-11+i321+i321−i32-1000000000
χ29333−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i32−3−3i32−3+3i323−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i3200000000000011−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32000000000
χ30333−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i32−3−3i32−3+3i323−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i32000000000000-1-11+i321−i321+i321−i32-11−i32-11+i321+i321−i321+i321−i32-11−i32-11+i32000000000
χ3133-133333333-1-1-1-1-1-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1000000000
χ3233-133333333-1-1-1-1-1-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111000000000
χ3333-133−3+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+i321-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321−i321−i321+i321+i321+i32000000000
χ3433-133−3+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+i32-11-1-11−i321−i321−i321+i321+i321+i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000
χ3533-133−3−3i32−3−3i32−3−3i32−3+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−i321-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321+i321+i321−i321−i321−i32000000000
χ3633-133−3−3i32−3−3i32−3−3i32−3+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−i32-11-1-11+i321+i321+i321−i321−i321−i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000
χ3733-1−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i321−i321+i32-11−i321+i32-11−i321+i32-11−i321+i320002−1+i3−1−i32−1+i3−1−i32−1+i3−1−i31-1−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−i321+i32-11−i321+i32-11−i321+i32000000000
χ3833-1−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i321−i321+i32-11−i321+i32-11−i321+i32-11−i321+i320002−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3-111−i321+i32-11−i321+i32-11−i321+i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32000000000
χ3933-1−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i321−i321+i32-11−i321+i321−i321+i32-11+i32-11−i320002−1+i3−1−i3−1+i3−1−i32−1−i32−1+i31-1−1+i32−1−i32−1+i32−1−i321−1−i321−1+i321−i321+i321−i321+i32-11+i32-11−i32000000000
χ4033-1−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i321−i321+i32-11−i321+i321−i321+i32-11+i32-11−i320002−1+i3−1−i3−1+i3−1−i32−1−i32−1+i3-111−i321+i321−i321+i32-11+i32-11−i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32000000000
χ4133-1−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i3231−i321+i32-11−i321+i321+i32-11−i321−i321+i32-10002−1+i3−1−i3−1−i32−1+i3−1+i3−1−i321-1−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3211−i321+i321+i32-11−i321−i321+i32-1000000000
χ4233-1−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i3231−i321+i32-11−i321+i321+i32-11−i321−i321+i32-10002−1+i3−1−i3−1−i32−1+i3−1+i3−1−i32-111−i321+i321+i32-11−i321−i321+i32-1−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321000000000
χ4333-1−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i321+i321−i32-11+i321−i32-11+i321−i32-11+i321−i320002−1−i3−1+i32−1−i3−1+i32−1−i3−1+i31-1−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321+i321−i32-11+i321−i32-11+i321−i32000000000
χ4433-1−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i321+i321−i32-11+i321−i32-11+i321−i32-11+i321−i320002−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3-111+i321−i32-11+i321−i32-11+i321−i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32000000000
χ4533-1−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i3231+i321−i32-11+i321−i321−i32-11+i321+i321−i32-10002−1−i3−1+i3−1+i32−1−i3−1−i3−1+i321-1−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211+i321−i321−i32-11+i321+i321−i32-1000000000
χ4633-1−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i3231+i321−i32-11+i321−i321−i32-11+i321+i321−i32-10002−1−i3−1+i3−1+i32−1−i3−1−i3−1+i32-111+i321−i321−i32-11+i321+i321−i32-1−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321000000000
χ4733-1−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i321+i321−i32-11+i321−i321+i321−i32-11−i32-11+i320002−1−i3−1+i3−1−i3−1+i32−1+i32−1−i31-1−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321+i321−i321+i321−i32-11−i32-11+i32000000000
χ4833-1−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i321+i321−i32-11+i321−i321+i321−i32-11−i32-11+i320002−1−i3−1+i3−1−i3−1+i32−1+i32−1−i3-111+i321−i321+i321−i32-11−i32-11+i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32000000000
χ4966-266666666-2-2-2-2-2-2-2-2-2-2-2-3-3-3111111111000000000000000000000000000
χ5066-266−3+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−i32000000000000000000000000000
χ5166-266−3−3i3−3−3i3−3−3i3−3+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+i32000000000000000000000000000
χ5266-2−3+3i3−3−3i36−3+3i3−3−3i36−3+3i3−3−3i31−i31+i3-21−i31+i3-21−i31+i3-21−i31+i3000-21−i31+i3-21−i31+i3-21−i31+i3000000000000000000000000000
χ5366-2−3+3i3−3−3i3−3+3i3−3−3i36−3−3i36−3+3i31−i31+i3-21−i31+i31−i31+i3-21+i3-21−i3000-21−i31+i31−i31+i3-21+i3-21−i3000000000000000000000000000
χ5466-2−3+3i3−3−3i3−3−3i36−3+3i3−3+3i3−3−3i361−i31+i3-21−i31+i31+i3-21−i31−i31+i3-2000-21−i31+i31+i3-21−i31−i31+i3-2000000000000000000000000000
χ5566-2−3−3i3−3+3i36−3−3i3−3+3i36−3−3i3−3+3i31+i31−i3-21+i31−i3-21+i31−i3-21+i31−i3000-21+i31−i3-21+i31−i3-21+i31−i3000000000000000000000000000
χ5666-2−3−3i3−3+3i3−3+3i36−3−3i3−3−3i3−3+3i361+i31−i3-21+i31−i31−i3-21+i31+i31−i3-2000-21+i31−i31−i3-21+i31+i31−i3-2000000000000000000000000000
χ5766-2−3−3i3−3+3i3−3−3i3−3+3i36−3+3i36−3−3i31+i31−i3-21+i31−i31+i31−i3-21−i3-21+i3000-21+i31−i31+i31−i3-21−i3-21+i3000000000000000000000000000
χ5818-9180000000000-900000000000000000000000000000000000000000000000
χ5918-9-60000000012123-6-6000000000000000000000000000000000000000000000
χ6018-9-600000000−6+6i3−6−6i333−3i33+3i3000000000000000000000000000000000000000000000
χ6118-9-600000000−6−6i3−6+6i333+3i33−3i3000000000000000000000000000000000000000000000

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