Finite Group Databasebeta

← Group #14547741

Character table — Group #14547741

Order 2187.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size1111111119999999999999927272727272727272727272727272727272727272727272727272727272727272727272727272727818181818181818181818181
order133333333333333339999993333339999999999999999999999999999999999339999999999
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−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
χ311111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+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
χ411111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+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−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−i3211−1+i32−1+i32
χ511111111111111111111111−1+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+i321111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1−i32−1+i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i3211
χ611111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111111111−1+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−i321111−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32
χ711111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−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+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+i3211−1−i32−1−i32
χ811111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111111111−1−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+i321111−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32
χ911111111111111111111111−1−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−i321111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111−1+i32−1−i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i3211
χ1011111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111−1+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−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1−i32−1+i32−1+i32−1−i321−1−i32−1+i32−1−i321−1+i32
χ1111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+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−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−i321−1+i3211−1+i32−1−i321
χ1211111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1+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−i32111111−1−i32−1+i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32
χ1311111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32111111−1+i32−1−i3211−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32
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χ2211111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111−1−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−i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i321−1−i32−1+i32−1+i321
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χ589−9+9i32−9−9i3299−9+9i32−9−9i32−9+9i32−9−9i32000000003ζ+6ζ43ζ−3ζ4−6ζ−3ζ46ζ2+3ζ5−3ζ2+3ζ5−3ζ2−6ζ50000000000000000000000000000000000000000000000000000
χ599−9+9i32−9−9i3299−9+9i32−9−9i32−9+9i32−9−9i32000000003ζ−3ζ4−6ζ−3ζ43ζ+6ζ4−3ζ2+3ζ5−3ζ2−6ζ56ζ2+3ζ50000000000000000000000000000000000000000000000000000
χ609−9+9i32−9−9i3299−9+9i32−9−9i32−9+9i32−9−9i3200000000−6ζ−3ζ43ζ+6ζ43ζ−3ζ4−3ζ2−6ζ56ζ2+3ζ5−3ζ2+3ζ50000000000000000000000000000000000000000000000000000
χ619−9+9i32−9−9i32−9+9i32−9−9i32−9−9i3299−9+9i32000000000000000000003ζ3ζ43ζ73ζ23ζ53ζ80000000000000000000000000000000000000000
χ629−9+9i32−9−9i32−9+9i32−9−9i32−9−9i3299−9+9i32000000000000000000003ζ43ζ73ζ3ζ83ζ23ζ50000000000000000000000000000000000000000
χ639−9+9i32−9−9i32−9+9i32−9−9i32−9−9i3299−9+9i32000000000000000000003ζ73ζ3ζ43ζ53ζ83ζ20000000000000000000000000000000000000000
χ649−9+9i32−9−9i32−9−9i32−9+9i329−9+9i32−9−9i3290000000000000000000000000000000000000000000000003ζ23ζ53ζ83ζ3ζ43ζ7000000000000
χ659−9+9i32−9−9i32−9−9i32−9+9i329−9+9i32−9−9i3290000000000000000000000000000000000000000000000003ζ53ζ83ζ23ζ73ζ3ζ4000000000000
χ669−9+9i32−9−9i32−9−9i32−9+9i329−9+9i32−9−9i3290000000000000000000000000000000000000000000000003ζ83ζ23ζ53ζ43ζ73ζ000000000000
χ679−9−9i32−9+9i3299−9−9i32−9+9i32−9−9i32−9+9i32000000006ζ2+3ζ5−3ζ2+3ζ5−3ζ2−6ζ53ζ−3ζ4−6ζ−3ζ43ζ+6ζ40000000000000000000000000000000000000000000000000000
χ689−9−9i32−9+9i3299−9−9i32−9+9i32−9−9i32−9+9i3200000000−3ζ2+3ζ5−3ζ2−6ζ56ζ2+3ζ5−6ζ−3ζ43ζ+6ζ43ζ−3ζ40000000000000000000000000000000000000000000000000000
χ699−9−9i32−9+9i3299−9−9i32−9+9i32−9−9i32−9+9i3200000000−3ζ2−6ζ56ζ2+3ζ5−3ζ2+3ζ53ζ+6ζ43ζ−3ζ4−6ζ−3ζ40000000000000000000000000000000000000000000000000000
χ709−9−9i32−9+9i32−9+9i32−9−9i329−9−9i32−9+9i3290000000000000000000000000000000000000000000000003ζ3ζ73ζ43ζ53ζ23ζ8000000000000
χ719−9−9i32−9+9i32−9+9i32−9−9i329−9−9i32−9+9i3290000000000000000000000000000000000000000000000003ζ43ζ3ζ73ζ23ζ83ζ5000000000000
χ729−9−9i32−9+9i32−9+9i32−9−9i329−9−9i32−9+9i3290000000000000000000000000000000000000000000000003ζ73ζ43ζ3ζ83ζ53ζ2000000000000
χ739−9−9i32−9+9i32−9−9i32−9+9i32−9+9i3299−9−9i32000000000000000000003ζ23ζ83ζ53ζ43ζ3ζ70000000000000000000000000000000000000000
χ749−9−9i32−9+9i32−9−9i32−9+9i32−9+9i3299−9−9i32000000000000000000003ζ53ζ23ζ83ζ3ζ73ζ40000000000000000000000000000000000000000
χ759−9−9i32−9+9i32−9−9i32−9+9i32−9+9i3299−9−9i32000000000000000000003ζ83ζ53ζ23ζ73ζ43ζ0000000000000000000000000000000000000000

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