Finite Group Databasebeta

← Group #13090676

Character table — Group #13090676

Order 1458.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111222222222222999999181818181818181818181818181818181818181818181818181818181818181818181818818181818181818181
order133333333333333333333999999999999999999999999999999999999266666666
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+3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i3233333−3+3i32−3−3i323−3+3i32−3−3i320000000000000000000000000000000000001−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ203−3+3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i3233333−3+3i32−3−3i323−3+3i32−3−3i32000000000000000000000000000000000000-11−i321+i32-11−i321+i32-11−i321+i32
χ213−3+3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i323333−3+3i32−3−3i323−3−3i323−3+3i320000000000000000000000000000000000001−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ223−3+3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i323333−3+3i32−3−3i323−3−3i323−3+3i32000000000000000000000000000000000000-11−i321+i321−i321+i32-11+i32-11−i32
χ233−3+3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i323333−3−3i323−3+3i32−3+3i32−3−3i3230000000000000000000000000000000000001−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ243−3+3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i323333−3−3i323−3+3i32−3+3i32−3−3i323000000000000000000000000000000000000-11−i321+i321+i32-11−i321−i321+i32-1
χ253−3−3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i3233333−3−3i32−3+3i323−3−3i32−3+3i320000000000000000000000000000000000001−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ263−3−3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i3233333−3−3i32−3+3i323−3−3i32−3+3i32000000000000000000000000000000000000-11+i321−i32-11+i321−i32-11+i321−i32
χ273−3−3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i323333−3+3i323−3−3i32−3−3i32−3+3i3230000000000000000000000000000000000001−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ283−3−3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i323333−3+3i323−3−3i32−3−3i32−3+3i323000000000000000000000000000000000000-11+i321−i321−i32-11+i321+i321−i32-1
χ293−3−3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i323333−3−3i32−3+3i323−3+3i323−3−3i320000000000000000000000000000000000001−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ303−3−3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i323333−3−3i32−3+3i323−3+3i323−3−3i32000000000000000000000000000000000000-11+i321−i321+i321−i32-11−i32-11+i32
χ316666-3-3-36-3-3-36-3-3-30000000000000006-3-3000000000000000000000000000000000
χ326666-3-3-36-3-3-36-3-3-3000000000000000-36-3000000000000000000000000000000000
χ336666-3-3-36-3-3-36-3-3-3000000000000000-3-36000000000000000000000000000000000
χ34666-36-3-3-36-3-3-36-3-30000000000006-3-3000000000000000000000000000000000000
χ35666-36-3-3-36-3-3-36-3-3000000000000-36-3000000000000000000000000000000000000
χ36666-36-3-3-36-3-3-36-3-3000000000000-3-36000000000000000000000000000000000000
χ37666-3-36-3-3-36-3-3-36-30000000006-3-3000000000000000000000000000000000000000
χ38666-3-36-3-3-36-3-3-36-3000000000-36-3000000000000000000000000000000000000000
χ39666-3-36-3-3-36-3-3-36-3000000000-3-36000000000000000000000000000000000000000
χ40666-3-3-36-3-3-36-3-3-360000006-3-3000000000000000000000000000000000000000000
χ41666-3-3-36-3-3-36-3-3-36000000-36-3000000000000000000000000000000000000000000
χ42666-3-3-36-3-3-36-3-3-36000000-3-36000000000000000000000000000000000000000000
χ436−3+3i3−3−3i3−3+3i33−3i323−3i323−3i32−3−3i33+3i323+3i323+3i326-3-3-30000000000000000000000000003−3+3i32−3−3i320000000003−3+3i32−3−3i32000000000
χ446−3+3i3−3−3i3−3+3i33−3i323−3i323−3i32−3−3i33+3i323+3i323+3i326-3-3-3000000000000000000000000000−3+3i32−3−3i323000000000−3−3i323−3+3i32000000000
χ456−3+3i3−3−3i3−3+3i33−3i323−3i323−3i32−3−3i33+3i323+3i323+3i326-3-3-3000000000000000000000000000−3−3i323−3+3i32000000000−3+3i32−3−3i323000000000
χ466−3+3i3−3−3i33−3i32−3+3i33−3i323−3i323+3i32−3−3i33+3i323+3i32-36-3-30000000000000000000000003−3+3i32−3−3i320000000003−3+3i32−3−3i32000000000000
χ476−3+3i3−3−3i33−3i32−3+3i33−3i323−3i323+3i32−3−3i33+3i323+3i32-36-3-3000000000000000000000000−3+3i32−3−3i323000000000−3−3i323−3+3i32000000000000
χ486−3+3i3−3−3i33−3i32−3+3i33−3i323−3i323+3i32−3−3i33+3i323+3i32-36-3-3000000000000000000000000−3−3i323−3+3i32000000000−3+3i32−3−3i323000000000000
χ496−3+3i3−3−3i33−3i323−3i32−3+3i33−3i323+3i323+3i32−3−3i33+3i32-3-36-30000000000000000000003−3+3i32−3−3i320000000003−3+3i32−3−3i32000000000000000
χ506−3+3i3−3−3i33−3i323−3i32−3+3i33−3i323+3i323+3i32−3−3i33+3i32-3-36-3000000000000000000000−3+3i32−3−3i323000000000−3−3i323−3+3i32000000000000000
χ516−3+3i3−3−3i33−3i323−3i32−3+3i33−3i323+3i323+3i32−3−3i33+3i32-3-36-3000000000000000000000−3−3i323−3+3i32000000000−3+3i32−3−3i323000000000000000
χ526−3+3i3−3−3i33−3i323−3i323−3i32−3+3i33+3i323+3i323+3i32−3−3i3-3-3-360000000000000000003−3+3i32−3−3i320000000003−3+3i32−3−3i32000000000000000000
χ536−3+3i3−3−3i33−3i323−3i323−3i32−3+3i33+3i323+3i323+3i32−3−3i3-3-3-36000000000000000000−3+3i32−3−3i323000000000−3−3i323−3+3i32000000000000000000
χ546−3+3i3−3−3i33−3i323−3i323−3i32−3+3i33+3i323+3i323+3i32−3−3i3-3-3-36000000000000000000−3−3i323−3+3i32000000000−3+3i32−3−3i323000000000000000000
χ556−3−3i3−3+3i3−3−3i33+3i323+3i323+3i32−3+3i33−3i323−3i323−3i326-3-3-30000000000000000000000000003−3−3i32−3+3i320000000003−3−3i32−3+3i32000000000
χ566−3−3i3−3+3i3−3−3i33+3i323+3i323+3i32−3+3i33−3i323−3i323−3i326-3-3-3000000000000000000000000000−3+3i323−3−3i32000000000−3−3i32−3+3i323000000000
χ576−3−3i3−3+3i3−3−3i33+3i323+3i323+3i32−3+3i33−3i323−3i323−3i326-3-3-3000000000000000000000000000−3−3i32−3+3i323000000000−3+3i323−3−3i32000000000
χ586−3−3i3−3+3i33+3i32−3−3i33+3i323+3i323−3i32−3+3i33−3i323−3i32-36-3-30000000000000000000000003−3−3i32−3+3i320000000003−3−3i32−3+3i32000000000000
χ596−3−3i3−3+3i33+3i32−3−3i33+3i323+3i323−3i32−3+3i33−3i323−3i32-36-3-3000000000000000000000000−3+3i323−3−3i32000000000−3−3i32−3+3i323000000000000
χ606−3−3i3−3+3i33+3i32−3−3i33+3i323+3i323−3i32−3+3i33−3i323−3i32-36-3-3000000000000000000000000−3−3i32−3+3i323000000000−3+3i323−3−3i32000000000000
χ616−3−3i3−3+3i33+3i323+3i32−3−3i33+3i323−3i323−3i32−3+3i33−3i32-3-36-30000000000000000000003−3−3i32−3+3i320000000003−3−3i32−3+3i32000000000000000
χ626−3−3i3−3+3i33+3i323+3i32−3−3i33+3i323−3i323−3i32−3+3i33−3i32-3-36-3000000000000000000000−3+3i323−3−3i32000000000−3−3i32−3+3i323000000000000000
χ636−3−3i3−3+3i33+3i323+3i32−3−3i33+3i323−3i323−3i32−3+3i33−3i32-3-36-3000000000000000000000−3−3i32−3+3i323000000000−3+3i323−3−3i32000000000000000
χ646−3−3i3−3+3i33+3i323+3i323+3i32−3−3i33−3i323−3i323−3i32−3+3i3-3-3-360000000000000000003−3−3i32−3+3i320000000003−3−3i32−3+3i32000000000000000000
χ656−3−3i3−3+3i33+3i323+3i323+3i32−3−3i33−3i323−3i323−3i32−3+3i3-3-3-36000000000000000000−3+3i323−3−3i32000000000−3−3i32−3+3i323000000000000000000
χ666−3−3i3−3+3i33+3i323+3i323+3i32−3−3i33−3i323−3i323−3i32−3+3i3-3-3-36000000000000000000−3−3i32−3+3i323000000000−3+3i323−3−3i32000000000000000000

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