Finite Group Databasebeta

← Group #3850

Character table — Group #3850

Order 144.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size134413441344134413441344134413441344134413441344
order123336333633226666666666226666666666226666666666
χ1111111111111111111111111111111111111111111111111
χ211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32
χ311−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32
χ43-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-100
χ51111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ611−1+i32−1−i32−1+i32−1+i32−1−i321−1−i32−1−i321−1+i3211−1+i32−1−i32−1+i32−1+i32−1−i321−1−i32−1−i321−1+i3211−1+i32−1−i32−1+i32−1+i32−1−i321−1−i32−1−i321−1+i3211−1+i32−1−i32−1+i32−1+i32−1−i321−1−i32−1−i321−1+i32
χ711−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i32111−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i32111−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i32111−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i321
χ83-100−3+3i321−i3200−3−3i321+i32003-100−3+3i321−i3200−3−3i321+i32003-100−3+3i321−i3200−3−3i321+i32003-100−3+3i321−i3200−3−3i321+i3200
χ91111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ1011−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i32111−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i32111−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i32111−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i321
χ1111−1−i32−1+i32−1−i32−1−i32−1+i321−1+i32−1+i321−1−i3211−1−i32−1+i32−1−i32−1−i32−1+i321−1+i32−1+i321−1−i3211−1−i32−1+i32−1−i32−1−i32−1+i321−1+i32−1+i321−1−i3211−1−i32−1+i32−1−i32−1−i32−1+i321−1+i32−1+i321−1−i32
χ123-100−3−3i321+i3200−3+3i321−i32003-100−3−3i321+i3200−3+3i321−i32003-100−3−3i321+i3200−3+3i321−i32003-100−3−3i321+i3200−3+3i321−i3200
χ13111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ1411−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32
χ1511−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32
χ163-1003-1003-100-3100-3100-31003-1003-1003-100-3100-3100-3100
χ171111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32
χ1811−1+i32−1−i32−1+i32−1+i32−1−i321−1−i32−1−i321−1+i32-1-11−i321+i321−i321−i321+i32-11+i321+i32-11−i3211−1+i32−1−i32−1+i32−1+i32−1−i321−1−i32−1−i321−1+i32-1-11−i321+i321−i321−i321+i32-11+i321+i32-11−i32
χ1911−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i321-1-11+i321−i321−i321−i32-11+i321+i321+i321−i32-111−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i321-1-11+i321−i321−i321−i32-11+i321+i321+i321−i32-1
χ203-100−3+3i321−i3200−3−3i321+i3200-31003−3i32−1+i32003+3i32−1−i32003-100−3+3i321−i3200−3−3i321+i3200-31003−3i32−1+i32003+3i32−1−i3200
χ211111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32
χ2211−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i321-1-11−i321+i321+i321+i32-11−i321−i321−i321+i32-111−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i321-1-11−i321+i321+i321+i32-11−i321−i321−i321+i32-1
χ2311−1−i32−1+i32−1−i32−1−i32−1+i321−1+i32−1+i321−1−i32-1-11+i321−i321+i321+i321−i32-11−i321−i32-11+i3211−1−i32−1+i32−1−i32−1−i32−1+i321−1+i32−1+i321−1−i32-1-11+i321−i321+i321+i321−i32-11−i321−i32-11+i32
χ243-100−3−3i321+i3200−3+3i321−i3200-31003+3i32−1−i32003−3i32−1+i32003-100−3−3i321+i3200−3+3i321−i3200-31003+3i32−1−i32003−3i32−1+i3200
χ25111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2611−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32
χ2711−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32
χ283-1003-1003-1003-1003-1003-100-3100-3100-3100-3100-3100-3100
χ291111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32
χ3011−1+i32−1−i32−1+i32−1+i32−1−i321−1−i32−1−i321−1+i3211−1+i32−1−i32−1+i32−1+i32−1−i321−1−i32−1−i321−1+i32-1-11−i321+i321−i321−i321+i32-11+i321+i32-11−i32-1-11−i321+i321−i321−i321+i32-11+i321+i32-11−i32
χ3111−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i32111−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i321-1-11+i321−i321−i321−i32-11+i321+i321+i321−i32-1-1-11+i321−i321−i321−i32-11+i321+i321+i321−i32-1
χ323-100−3+3i321−i3200−3−3i321+i32003-100−3+3i321−i3200−3−3i321+i3200-31003−3i32−1+i32003+3i32−1−i3200-31003−3i32−1+i32003+3i32−1−i3200
χ331111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32
χ3411−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i32111−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i321-1-11−i321+i321+i321+i32-11−i321−i321−i321+i32-1-1-11−i321+i321+i321+i32-11−i321−i321−i321+i32-1
χ3511−1−i32−1+i32−1−i32−1−i32−1+i321−1+i32−1+i321−1−i3211−1−i32−1+i32−1−i32−1−i32−1+i321−1+i32−1+i321−1−i32-1-11+i321−i321+i321+i321−i32-11−i321−i32-11+i32-1-11+i321−i321+i321+i321−i32-11−i321−i32-11+i32
χ363-100−3−3i321+i3200−3+3i321−i32003-100−3−3i321+i3200−3+3i321−i3200-31003+3i32−1−i32003−3i32−1+i3200-31003+3i32−1−i32003−3i32−1+i3200
χ37111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ3811−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32
χ3911−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32
χ403-1003-1003-100-3100-3100-3100-3100-3100-31003-1003-1003-100
χ411111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ4211−1+i32−1−i32−1+i32−1+i32−1−i321−1−i32−1−i321−1+i32-1-11−i321+i321−i321−i321+i32-11+i321+i32-11−i32-1-11−i321+i321−i321−i321+i32-11+i321+i32-11−i3211−1+i32−1−i32−1+i32−1+i32−1−i321−1−i32−1−i321−1+i32
χ4311−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i321-1-11+i321−i321−i321−i32-11+i321+i321+i321−i32-1-1-11+i321−i321−i321−i32-11+i321+i321+i321−i32-111−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i321
χ443-100−3+3i321−i3200−3−3i321+i3200-31003−3i32−1+i32003+3i32−1−i3200-31003−3i32−1+i32003+3i32−1−i32003-100−3+3i321−i3200−3−3i321+i3200
χ451111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ4611−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i321-1-11−i321+i321+i321+i32-11−i321−i321−i321+i32-1-1-11−i321+i321+i321+i32-11−i321−i321−i321+i32-111−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i321
χ4711−1−i32−1+i32−1−i32−1−i32−1+i321−1+i32−1+i321−1−i32-1-11+i321−i321+i321+i321−i32-11−i321−i32-11+i32-1-11+i321−i321+i321+i321−i32-11−i321−i32-11+i3211−1−i32−1+i32−1−i32−1−i32−1+i321−1+i32−1+i321−1−i32
χ483-100−3−3i321+i3200−3+3i321−i3200-31003+3i32−1−i32003−3i32−1+i3200-31003+3i32−1−i32003−3i32−1+i32003-100−3−3i321+i3200−3+3i321−i3200

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