Finite Group Databasebeta

← Group #72241663

Character table — Group #72241663

Order 6174.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61
size16666666667718181818181818181818181818181818424242424242424242424242424242424949294294343343343343343343343343343343343343343
order1777777777337777777777777777212121212121212121212121212121213321212333366666666
χ11111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ411111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32-1−1+i32−1+i32−1−i32−1−i32-1-11−i321+i321−i321−i321+i321+i32
χ511111111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ611111111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32-1−1−i32−1−i32−1+i32−1+i32-1-11+i321−i321+i321+i321−i321−i32
χ71111111111−1+i32−1−i321111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32
χ81111111111−1+i32−1−i321111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321111-1−1+i32−1−i32−1+i32−1−i321−i321+i32-1-11−i321+i321−i321+i32
χ91111111111−1+i32−1−i321111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i321−1−i3211−1+i32−1+i32−1−i32−1+i32−1−i32−1−i3211−1+i32
χ101111111111−1+i32−1−i321111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32-1−1−i3211−1+i321−i321+i321−i321+i321+i32-1-11−i32
χ111111111111−1+i32−1−i321111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i3211−1+i32−1−i321−1+i32−1−i32−1−i32−1+i321−1+i32−1−i321
χ121111111111−1+i32−1−i321111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32-11−1+i32−1−i3211−i321+i321+i321−i32-11−i321+i32-1
χ131111111111−1−i32−1+i321111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32
χ141111111111−1−i32−1+i321111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321111-1−1−i32−1+i32−1−i32−1+i321+i321−i32-1-11+i321−i321+i321−i32
χ151111111111−1−i32−1+i321111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i3211−1−i32−1+i321−1−i32−1+i32−1+i32−1−i321−1−i32−1+i321
χ161111111111−1−i32−1+i321111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32-11−1−i32−1+i3211+i321−i321−i321+i32-11+i321−i32-1
χ171111111111−1−i32−1+i321111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i321−1+i3211−1−i32−1−i32−1+i32−1−i32−1+i32−1+i3211−1−i32
χ181111111111−1−i32−1+i321111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32-1−1+i3211−1−i321+i321−i321+i321−i321−i32-1-11+i32
χ19666666666-100-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000066-1-10000000000000
χ20666666666-100-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000−3+3i3−3−3i31−i321+i320000000000000
χ21666666666-100-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000−3−3i3−3+3i31+i321−i320000000000000
χ2266-1-1-1-1-1-1-166666-1-1-1-1-1-1-1-1-1-1-1-1-1-16-1-1-1-1-1-1-16-1-1-1-1-1-1-100000000000000000
χ2366-1-1-1-1-1-1-16−3+3i3−3−3i366-1-1-1-1-1-1-1-1-1-1-1-1-1-1−3+3i31−i321−i321−i321−i321−i321−i321−i32−3−3i31+i321+i321+i321+i321+i321+i321+i3200000000000000000
χ2466-1-1-1-1-1-1-16−3−3i3−3+3i366-1-1-1-1-1-1-1-1-1-1-1-1-1-1−3−3i31+i321+i321+i321+i321+i321+i321+i32−3+3i31−i321−i321−i321−i321−i321−i321−i3200000000000000000
χ256-16-1-1-1-1-1-1666-1-166-1-1-1-1-1-1-1-1-1-1-1-1-16-1-1-1-1-1-1-16-1-1-1-1-1-100000000000000000
χ266-16-1-1-1-1-1-16−3+3i3−3−3i3-1-166-1-1-1-1-1-1-1-1-1-1-1-11−i32−3+3i31−i321−i321−i321−i321−i321−i321+i32−3−3i31+i321+i321+i321+i321+i321+i3200000000000000000
χ276-16-1-1-1-1-1-16−3−3i3−3+3i3-1-166-1-1-1-1-1-1-1-1-1-1-1-11+i32−3−3i31+i321+i321+i321+i321+i321+i321−i32−3+3i31−i321−i321−i321−i321−i321−i3200000000000000000
χ286-1-16-1-1-1-1-1666-1-1-1-166-1-1-1-1-1-1-1-1-1-1-1-16-1-1-1-1-1-1-16-1-1-1-1-100000000000000000
χ296-1-16-1-1-1-1-16−3+3i3−3−3i3-1-1-1-166-1-1-1-1-1-1-1-1-1-11−i321−i32−3+3i31−i321−i321−i321−i321−i321+i321+i32−3−3i31+i321+i321+i321+i321+i3200000000000000000
χ306-1-16-1-1-1-1-16−3−3i3−3+3i3-1-1-1-166-1-1-1-1-1-1-1-1-1-11+i321+i32−3−3i31+i321+i321+i321+i321+i321−i321−i32−3+3i31−i321−i321−i321−i321−i3200000000000000000
χ316-1-1-16-1-1-1-1666-1-1-1-1-1-166-1-1-1-1-1-1-1-1-1-1-16-1-1-1-1-1-1-16-1-1-1-100000000000000000
χ326-1-1-16-1-1-1-16−3+3i3−3−3i3-1-1-1-1-1-166-1-1-1-1-1-1-1-11−i321−i321−i32−3+3i31−i321−i321−i321−i321+i321+i321+i32−3−3i31+i321+i321+i321+i3200000000000000000
χ336-1-1-16-1-1-1-16−3−3i3−3+3i3-1-1-1-1-1-166-1-1-1-1-1-1-1-11+i321+i321+i32−3−3i31+i321+i321+i321+i321−i321−i321−i32−3+3i31−i321−i321−i321−i3200000000000000000
χ346-1-1-1-16-1-1-1666-1-1-1-1-1-1-1-166-1-1-1-1-1-1-1-1-1-16-1-1-1-1-1-1-16-1-1-100000000000000000
χ356-1-1-1-16-1-1-16−3+3i3−3−3i3-1-1-1-1-1-1-1-166-1-1-1-1-1-11−i321−i321−i321−i32−3+3i31−i321−i321−i321+i321+i321+i321+i32−3−3i31+i321+i321+i3200000000000000000
χ366-1-1-1-16-1-1-16−3−3i3−3+3i3-1-1-1-1-1-1-1-166-1-1-1-1-1-11+i321+i321+i321+i32−3−3i31+i321+i321+i321−i321−i321−i321−i32−3+3i31−i321−i321−i3200000000000000000
χ376-1-1-1-1-16-1-1666-1-1-1-1-1-1-1-1-1-166-1-1-1-1-1-1-1-1-16-1-1-1-1-1-1-16-1-100000000000000000
χ386-1-1-1-1-16-1-16−3+3i3−3−3i3-1-1-1-1-1-1-1-1-1-166-1-1-1-11−i321−i321−i321−i321−i32−3+3i31−i321−i321+i321+i321+i321+i321+i32−3−3i31+i321+i3200000000000000000
χ396-1-1-1-1-16-1-16−3−3i3−3+3i3-1-1-1-1-1-1-1-1-1-166-1-1-1-11+i321+i321+i321+i321+i32−3−3i31+i321+i321−i321−i321−i321−i321−i32−3+3i31−i321−i3200000000000000000
χ406-1-1-1-1-1-16-1666-1-1-1-1-1-1-1-1-1-1-1-166-1-1-1-1-1-1-1-16-1-1-1-1-1-1-16-100000000000000000
χ416-1-1-1-1-1-16-16−3+3i3−3−3i3-1-1-1-1-1-1-1-1-1-1-1-166-1-11−i321−i321−i321−i321−i321−i32−3+3i31−i321+i321+i321+i321+i321+i321+i32−3−3i31+i3200000000000000000
χ426-1-1-1-1-1-16-16−3−3i3−3+3i3-1-1-1-1-1-1-1-1-1-1-1-166-1-11+i321+i321+i321+i321+i321+i32−3−3i31+i321−i321−i321−i321−i321−i321−i32−3+3i31−i3200000000000000000
χ436-1-1-1-1-1-1-16666-1-1-1-1-1-1-1-1-1-1-1-1-1-166-1-1-1-1-1-1-16-1-1-1-1-1-1-1600000000000000000
χ446-1-1-1-1-1-1-166−3+3i3−3−3i3-1-1-1-1-1-1-1-1-1-1-1-1-1-1661−i321−i321−i321−i321−i321−i321−i32−3+3i31+i321+i321+i321+i321+i321+i321+i32−3−3i300000000000000000
χ456-1-1-1-1-1-1-166−3−3i3−3+3i3-1-1-1-1-1-1-1-1-1-1-1-1-1-1661+i321+i321+i321+i321+i321+i321+i32−3−3i31−i321−i321−i321−i321−i321−i321−i32−3+3i300000000000000000
χ461818-3-3-3-3-3-3-3-300-3-34-34-34-34-34-34-34-3000000000000000000000000000000000
χ471818-3-3-3-3-3-3-3-300-3-3-34-34-34-34-34-34-34000000000000000000000000000000000
χ4818-318-3-3-3-3-3-3-3004-3-3-34-34-34-3-34-34-34000000000000000000000000000000000
χ4918-318-3-3-3-3-3-3-300-34-3-3-34-34-344-34-34-3000000000000000000000000000000000
χ5018-3-318-3-3-3-3-3-3004-3-34-3-34-3-344-34-3-34000000000000000000000000000000000
χ5118-3-318-3-3-3-3-3-300-344-3-3-3-344-3-34-344-3000000000000000000000000000000000
χ5218-3-3-318-3-3-3-3-3004-3-34-34-3-34-34-3-344-3000000000000000000000000000000000
χ5318-3-3-318-3-3-3-3-300-344-34-3-3-3-34-344-3-34000000000000000000000000000000000
χ5418-3-3-3-318-3-3-3-3004-3-344-3-34-3-3-344-34-3000000000000000000000000000000000
χ5518-3-3-3-318-3-3-3-300-344-3-344-3-3-34-3-34-34000000000000000000000000000000000
χ5618-3-3-3-3-318-3-3-3004-34-3-34-344-3-3-34-3-34000000000000000000000000000000000
χ5718-3-3-3-3-318-3-3-300-34-344-34-3-34-3-3-344-3000000000000000000000000000000000
χ5818-3-3-3-3-3-318-3-3004-34-3-344-3-34-34-3-34-3000000000000000000000000000000000
χ5918-3-3-3-3-3-318-3-300-34-344-3-344-34-3-3-3-34000000000000000000000000000000000
χ6018-3-3-3-3-3-3-318-3004-34-34-3-34-344-3-34-3-3000000000000000000000000000000000
χ6118-3-3-3-3-3-3-318-300-34-34-344-34-3-344-3-3-3000000000000000000000000000000000

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