Finite Group Databasebeta

← Group #13090677

Character table — Group #13090677

Order 1458.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111222222222222999999181818181818181818181818181818181818181818181818181818181818181818181818818181818181818181
order133333333333333999999999999999999999999999999999999999999266181818181818
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ3111111111111111−1+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−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ4111111111111111−1+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−i32-1-1-11−i321−i321−i321+i321+i321+i32
χ5111111111111111−1−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+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ6111111111111111−1−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+i32-1-1-11+i321+i321+i321−i321−i321−i32
χ7222222222222222222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1000000000
χ8222222222222222222222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1000000000
χ9222222222222222222222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1000000000
χ10222222222222222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222000000000
χ11222222222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222-1-1-1-1-1-1-1-1-1−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000
χ12222222222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1222-1-1-1-1-1-11−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32000000000
χ13222222222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-1222-1-1-11−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32000000000
χ14222222222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-1-1-1-12221−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3000000000
χ15222222222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222-1-1-1-1-1-1-1-1-1−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000
χ16222222222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1222-1-1-1-1-1-11+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32000000000
χ17222222222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-1222-1-1-11+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32000000000
χ18222222222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-1-1-1-12221+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3000000000
χ193−3+3i32−3−3i323333−3+3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i323ζ3ζ43ζ73ζ23ζ53ζ80000000000000000000000000000000000001−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ8
χ203−3+3i32−3−3i323333−3+3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i323ζ3ζ43ζ73ζ23ζ53ζ8000000000000000000000000000000000000-11−i321+i32−ζ−ζ4−ζ7−ζ2−ζ5−ζ8
χ213−3+3i32−3−3i323333−3+3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i323ζ43ζ73ζ3ζ83ζ23ζ50000000000000000000000000000000000001−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ5
χ223−3+3i32−3−3i323333−3+3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i323ζ43ζ73ζ3ζ83ζ23ζ5000000000000000000000000000000000000-11−i321+i32−ζ4−ζ7−ζ−ζ8−ζ2−ζ5
χ233−3+3i32−3−3i323333−3+3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i323ζ73ζ3ζ43ζ53ζ83ζ20000000000000000000000000000000000001−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ2
χ243−3+3i32−3−3i323333−3+3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i323ζ73ζ3ζ43ζ53ζ83ζ2000000000000000000000000000000000000-11−i321+i32−ζ7−ζ−ζ4−ζ5−ζ8−ζ2
χ253−3−3i32−3+3i323333−3−3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i323ζ23ζ83ζ53ζ43ζ3ζ70000000000000000000000000000000000001−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ7
χ263−3−3i32−3+3i323333−3−3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i323ζ23ζ83ζ53ζ43ζ3ζ7000000000000000000000000000000000000-11+i321−i32−ζ2−ζ8−ζ5−ζ4−ζ−ζ7
χ273−3−3i32−3+3i323333−3−3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i323ζ53ζ23ζ83ζ3ζ73ζ40000000000000000000000000000000000001−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ4
χ283−3−3i32−3+3i323333−3−3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i323ζ53ζ23ζ83ζ3ζ73ζ4000000000000000000000000000000000000-11+i321−i32−ζ5−ζ2−ζ8−ζ−ζ7−ζ4
χ293−3−3i32−3+3i323333−3−3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i323ζ83ζ53ζ23ζ73ζ43ζ0000000000000000000000000000000000001−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ
χ303−3−3i32−3+3i323333−3−3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i323ζ83ζ53ζ23ζ73ζ43ζ000000000000000000000000000000000000-11+i321−i32−ζ8−ζ5−ζ2−ζ7−ζ4−ζ
χ316666-3-3-36-3-3-36-3-3-30000000000000003ζ+3ζ83ζ2+3ζ73ζ4+3ζ5000000000000000000000000000000000
χ326666-3-3-36-3-3-36-3-3-30000000000000003ζ2+3ζ73ζ4+3ζ53ζ+3ζ8000000000000000000000000000000000
χ336666-3-3-36-3-3-36-3-3-30000000000000003ζ4+3ζ53ζ+3ζ83ζ2+3ζ7000000000000000000000000000000000
χ34666-36-3-3-36-3-3-36-3-30000000000003ζ+3ζ83ζ2+3ζ73ζ4+3ζ5000000000000000000000000000000000000
χ35666-36-3-3-36-3-3-36-3-30000000000003ζ2+3ζ73ζ4+3ζ53ζ+3ζ8000000000000000000000000000000000000
χ36666-36-3-3-36-3-3-36-3-30000000000003ζ4+3ζ53ζ+3ζ83ζ2+3ζ7000000000000000000000000000000000000
χ37666-3-36-3-3-36-3-3-36-30000000003ζ+3ζ83ζ2+3ζ73ζ4+3ζ5000000000000000000000000000000000000000
χ38666-3-36-3-3-36-3-3-36-30000000003ζ2+3ζ73ζ4+3ζ53ζ+3ζ8000000000000000000000000000000000000000
χ39666-3-36-3-3-36-3-3-36-30000000003ζ4+3ζ53ζ+3ζ83ζ2+3ζ7000000000000000000000000000000000000000
χ40666-3-3-36-3-3-36-3-3-360000003ζ+3ζ83ζ2+3ζ73ζ4+3ζ5000000000000000000000000000000000000000000
χ41666-3-3-36-3-3-36-3-3-360000003ζ2+3ζ73ζ4+3ζ53ζ+3ζ8000000000000000000000000000000000000000000
χ42666-3-3-36-3-3-36-3-3-360000003ζ4+3ζ53ζ+3ζ83ζ2+3ζ7000000000000000000000000000000000000000000
χ436−3+3i3−3−3i36-3-3-3−3+3i33−3i323−3i323−3i32−3−3i33+3i323+3i323+3i320000000000000000000000000003−3+3i32−3−3i320000000003−3+3i32−3−3i32000000000
χ446−3+3i3−3−3i36-3-3-3−3+3i33−3i323−3i323−3i32−3−3i33+3i323+3i323+3i32000000000000000000000000000−3+3i32−3−3i323000000000−3−3i323−3+3i32000000000
χ456−3+3i3−3−3i36-3-3-3−3+3i33−3i323−3i323−3i32−3−3i33+3i323+3i323+3i32000000000000000000000000000−3−3i323−3+3i32000000000−3+3i32−3−3i323000000000
χ466−3+3i3−3−3i3-36-3-33−3i32−3+3i33−3i323−3i323+3i32−3−3i33+3i323+3i320000000000000000000000003ζ23ζ53ζ80000000003ζ3ζ43ζ7000000000000
χ476−3+3i3−3−3i3-36-3-33−3i32−3+3i33−3i323−3i323+3i32−3−3i33+3i323+3i320000000000000000000000003ζ53ζ83ζ20000000003ζ73ζ3ζ4000000000000
χ486−3+3i3−3−3i3-36-3-33−3i32−3+3i33−3i323−3i323+3i32−3−3i33+3i323+3i320000000000000000000000003ζ83ζ23ζ50000000003ζ43ζ73ζ000000000000
χ496−3+3i3−3−3i3-3-36-33−3i323−3i32−3+3i33−3i323+3i323+3i32−3−3i33+3i320000000000000000000003ζ23ζ53ζ80000000003ζ3ζ43ζ7000000000000000
χ506−3+3i3−3−3i3-3-36-33−3i323−3i32−3+3i33−3i323+3i323+3i32−3−3i33+3i320000000000000000000003ζ53ζ83ζ20000000003ζ73ζ3ζ4000000000000000
χ516−3+3i3−3−3i3-3-36-33−3i323−3i32−3+3i33−3i323+3i323+3i32−3−3i33+3i320000000000000000000003ζ83ζ23ζ50000000003ζ43ζ73ζ000000000000000
χ526−3+3i3−3−3i3-3-3-363−3i323−3i323−3i32−3+3i33+3i323+3i323+3i32−3−3i30000000000000000003−3+3i32−3−3i320000000003−3+3i32−3−3i32000000000000000000
χ536−3+3i3−3−3i3-3-3-363−3i323−3i323−3i32−3+3i33+3i323+3i323+3i32−3−3i3000000000000000000−3+3i32−3−3i323000000000−3−3i323−3+3i32000000000000000000
χ546−3+3i3−3−3i3-3-3-363−3i323−3i323−3i32−3+3i33+3i323+3i323+3i32−3−3i3000000000000000000−3−3i323−3+3i32000000000−3+3i32−3−3i323000000000000000000
χ556−3−3i3−3+3i36-3-3-3−3−3i33+3i323+3i323+3i32−3+3i33−3i323−3i323−3i320000000000000000000000000003−3−3i32−3+3i320000000003−3−3i32−3+3i32000000000
χ566−3−3i3−3+3i36-3-3-3−3−3i33+3i323+3i323+3i32−3+3i33−3i323−3i323−3i32000000000000000000000000000−3+3i323−3−3i32000000000−3−3i32−3+3i323000000000
χ576−3−3i3−3+3i36-3-3-3−3−3i33+3i323+3i323+3i32−3+3i33−3i323−3i323−3i32000000000000000000000000000−3−3i32−3+3i323000000000−3+3i323−3−3i32000000000
χ586−3−3i3−3+3i3-36-3-33+3i32−3−3i33+3i323+3i323−3i32−3+3i33−3i323−3i320000000000000000000000003ζ3ζ73ζ40000000003ζ53ζ23ζ8000000000000
χ596−3−3i3−3+3i3-36-3-33+3i32−3−3i33+3i323+3i323−3i32−3+3i33−3i323−3i320000000000000000000000003ζ43ζ3ζ70000000003ζ23ζ83ζ5000000000000
χ606−3−3i3−3+3i3-36-3-33+3i32−3−3i33+3i323+3i323−3i32−3+3i33−3i323−3i320000000000000000000000003ζ73ζ43ζ0000000003ζ83ζ53ζ2000000000000
χ616−3−3i3−3+3i3-3-36-33+3i323+3i32−3−3i33+3i323−3i323−3i32−3+3i33−3i320000000000000000000003ζ3ζ73ζ40000000003ζ53ζ23ζ8000000000000000
χ626−3−3i3−3+3i3-3-36-33+3i323+3i32−3−3i33+3i323−3i323−3i32−3+3i33−3i320000000000000000000003ζ43ζ3ζ70000000003ζ23ζ83ζ5000000000000000
χ636−3−3i3−3+3i3-3-36-33+3i323+3i32−3−3i33+3i323−3i323−3i32−3+3i33−3i320000000000000000000003ζ73ζ43ζ0000000003ζ83ζ53ζ2000000000000000
χ646−3−3i3−3+3i3-3-3-363+3i323+3i323+3i32−3−3i33−3i323−3i323−3i32−3+3i30000000000000000003−3−3i32−3+3i320000000003−3−3i32−3+3i32000000000000000000
χ656−3−3i3−3+3i3-3-3-363+3i323+3i323+3i32−3−3i33−3i323−3i323−3i32−3+3i3000000000000000000−3+3i323−3−3i32000000000−3−3i32−3+3i323000000000000000000
χ666−3−3i3−3+3i3-3-3-363+3i323+3i323+3i32−3−3i33−3i323−3i323−3i32−3+3i3000000000000000000−3−3i32−3+3i323000000000−3+3i323−3−3i32000000000000000000

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