Finite Group Databasebeta

← Group #14518118

Character table — Group #14518118

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size111111111333333333666181818181818181818181818181818242424242424242424545454545454545454545454545454545454727272727272
order13333333326666666633333366666666666633333333324666666661212121212121212333333
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ3222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1000000000000000000-1-1-1-1-1-1
χ4222222222222222222222-1-1-1222-1-1-1-1-1-1-1-1-1222222222000000000000000000-1-1-1-1-1-1
χ5222222222222222222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000222-1-1-1
χ6222222222222222222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-1-1-1222
χ7222222222222222222-1-1-12-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-10000000000000000002-1-12-1-1
χ8222222222222222222-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1000000000000000000-12-1-12-1
χ9222222222222222222-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222000000000000000000-1-12-1-12
χ10222222222222222222-1-1-1-12-1-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1000000000000000000-12-1-1-12
χ11222222222222222222-1-1-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1000000000000000000-1-122-1-1
χ12222222222222222222-1-1-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12220000000000000000002-1-1-12-1
χ13222222222222222222-1-1-1-1-12-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1000000000000000000-1-12-12-1
χ14222222222222222222-1-1-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1222-1-1-10000000000000000002-1-1-1-12
χ15222222222222222222-1-1-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222000000000000000000-12-12-1-1
χ16333333333-1-1-1-1-1-1-1-1-1333333-1-1-1-1-1-1-1-1-1-1-1-10000000001-111111111-1-1-1-1-1-1-1-1000000
χ17333333333-1-1-1-1-1-1-1-1-1333333-1-1-1-1-1-1-1-1-1-1-1-1000000000-11-1-1-1-1-1-1-1-111111111000000
χ18333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i320000000000000000000000003−3+3i32−3−3i321111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000
χ19333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i320000000000000000000000003−3+3i32−3−3i32-1-1-1-11−i321−i321−i321+i321+i321+i32-1-11−i321−i321−i321+i321+i321+i32000000
χ20333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i320000000000000000000000003−3−3i32−3+3i321111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000
χ21333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i320000000000000000000000003−3−3i32−3+3i32-1-1-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321+i321−i321−i321−i32000000
χ223−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320000000000000000000003−3+3i32−3−3i3200011−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32000000
χ233−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320000000000000000000003−3+3i32−3−3i32000-1-11−i321+i32-11−i321+i32-11−i321+i321−i321+i32-11−i321+i32-11−i321+i32000000
χ243−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i323−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i320000000000000000003−3+3i32−3−3i3200000011−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32000000
χ253−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i323−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i320000000000000000003−3+3i32−3−3i32000000-1-11−i321+i321−i321+i32-11+i32-11−i321−i321+i321−i321+i32-11+i32-11−i32000000
χ263−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i3233−3+3i32−3−3i320003−3+3i32−3−3i3200000000000000000011−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321000000
χ273−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i3233−3+3i32−3−3i320003−3+3i32−3−3i32000000000000000000-1-11−i321+i321+i32-11−i321−i321+i32-11−i321+i321+i32-11−i321−i321+i32-1000000
χ283−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323-11−i321+i321+i32-11−i321−i321+i32-13−3+3i32−3−3i32000-11−i321+i322−1+i3−1−i32−1+i3−1−i32−1+i3−1−i30000000001-1−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3211−i321+i321+i32-11−i321−i321+i32-1000000
χ293−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323-11−i321+i321+i32-11−i321−i321+i32-13−3+3i32−3−3i32000-11−i321+i322−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3000000000-111−i321+i321+i32-11−i321−i321+i32-1−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321000000
χ303−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000000000000000000003−3−3i32−3+3i3200011−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32000000
χ313−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000000000000000000003−3−3i32−3+3i32000-1-11+i321−i32-11+i321−i32-11+i321−i321+i321−i32-11+i321−i32-11+i321−i32000000
χ323−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i3233−3−3i32−3+3i320003−3−3i32−3+3i3200000000000000000011−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321000000
χ333−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i3233−3−3i32−3+3i320003−3−3i32−3+3i32000000000000000000-1-11+i321−i321−i32-11+i321+i321−i32-11+i321−i321−i32-11+i321+i321−i32-1000000
χ343−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323-11+i321−i321−i32-11+i321+i321−i32-13−3−3i32−3+3i32000-11+i321−i322−1−i3−1+i32−1−i3−1+i32−1−i3−1+i30000000001-1−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211+i321−i321−i32-11+i321+i321−i32-1000000
χ353−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323-11+i321−i321−i32-11+i321+i321−i32-13−3−3i32−3+3i32000-11+i321−i322−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3000000000-111+i321−i321−i32-11+i321+i321−i32-1−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321000000
χ363−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i323−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i320000000000000000003−3−3i32−3+3i3200000011−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32000000
χ373−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i323−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i320000000000000000003−3−3i32−3+3i32000000-1-11+i321−i321+i321−i32-11−i32-11+i321+i321−i321+i321−i32-11−i32-11+i32000000
χ38666666666-2-2-2-2-2-2-2-2-2666-3-3-3-2-2-2111111111000000000000000000000000000000000
χ39666666666-2-2-2-2-2-2-2-2-2-3-3-36-3-3111-2-2-2111111000000000000000000000000000000000
χ40666666666-2-2-2-2-2-2-2-2-2-3-3-3-36-3111111-2-2-2111000000000000000000000000000000000
χ41666666666-2-2-2-2-2-2-2-2-2-3-3-3-3-36111111111-2-2-2000000000000000000000000000000000
χ42666−3+3i3−3+3i3−3+3i3−3−3i3−3−3i3−3−3i3666−3+3i3−3+3i3−3+3i3−3−3i3−3−3i3−3−3i3000000000000000000000000-33−3i323+3i32000000000000000000000000
χ43666−3−3i3−3−3i3−3−3i3−3+3i3−3+3i3−3+3i3666−3−3i3−3−3i3−3−3i3−3+3i3−3+3i3−3+3i3000000000000000000000000-33+3i323−3i32000000000000000000000000
χ446−3+3i3−3−3i36−3+3i3−3−3i36−3+3i3−3−3i36−3+3i3−3−3i36−3+3i3−3−3i36−3+3i3−3−3i3000000000000000000000-33−3i323+3i32000000000000000000000000000
χ456−3+3i3−3−3i3−3+3i3−3−3i36−3−3i36−3+3i36−3+3i3−3−3i3−3+3i3−3−3i36−3−3i36−3+3i3000000000000000000-33−3i323+3i32000000000000000000000000000000
χ466−3+3i3−3−3i3−3−3i36−3+3i3−3+3i3−3−3i366−3+3i3−3−3i3−3−3i36−3+3i3−3+3i3−3−3i36-33−3i323+3i32000-33−3i323+3i32000000000000000000000000000000000000000000
χ476−3+3i3−3−3i3−3−3i36−3+3i3−3+3i3−3−3i36-21−i31+i31+i3-21−i31−i31+i3-26−3+3i3−3−3i3000-21−i31+i3-21−i31+i3-21−i31+i3-21−i31+i3000000000000000000000000000000000
χ486−3+3i3−3−3i3−3−3i36−3+3i3−3+3i3−3−3i36-21−i31+i31+i3-21−i31−i31+i3-2-33−3i323+3i320001−1+i32−1−i324−2+2i3−2−2i3-21−i31+i3-21−i31+i3000000000000000000000000000000000
χ496−3+3i3−3−3i3−3−3i36−3+3i3−3+3i3−3−3i36-21−i31+i31+i3-21−i31−i31+i3-2-33−3i323+3i320001−1+i32−1−i32-21−i31+i34−2+2i3−2−2i3-21−i31+i3000000000000000000000000000000000
χ506−3+3i3−3−3i3−3−3i36−3+3i3−3+3i3−3−3i36-21−i31+i31+i3-21−i31−i31+i3-2-33−3i323+3i320001−1+i32−1−i32-21−i31+i3-21−i31+i34−2+2i3−2−2i3000000000000000000000000000000000
χ516−3−3i3−3+3i36−3−3i3−3+3i36−3−3i3−3+3i36−3−3i3−3+3i36−3−3i3−3+3i36−3−3i3−3+3i3000000000000000000000-33+3i323−3i32000000000000000000000000000
χ526−3−3i3−3+3i3−3+3i36−3−3i3−3−3i3−3+3i366−3−3i3−3+3i3−3+3i36−3−3i3−3−3i3−3+3i36-33+3i323−3i32000-33+3i323−3i32000000000000000000000000000000000000000000
χ536−3−3i3−3+3i3−3+3i36−3−3i3−3−3i3−3+3i36-21+i31−i31−i3-21+i31+i31−i3-26−3−3i3−3+3i3000-21+i31−i3-21+i31−i3-21+i31−i3-21+i31−i3000000000000000000000000000000000
χ546−3−3i3−3+3i3−3+3i36−3−3i3−3−3i3−3+3i36-21+i31−i31−i3-21+i31+i31−i3-2-33+3i323−3i320001−1−i32−1+i324−2−2i3−2+2i3-21+i31−i3-21+i31−i3000000000000000000000000000000000
χ556−3−3i3−3+3i3−3+3i36−3−3i3−3−3i3−3+3i36-21+i31−i31−i3-21+i31+i31−i3-2-33+3i323−3i320001−1−i32−1+i32-21+i31−i34−2−2i3−2+2i3-21+i31−i3000000000000000000000000000000000
χ566−3−3i3−3+3i3−3+3i36−3−3i3−3−3i3−3+3i36-21+i31−i31−i3-21+i31+i31−i3-2-33+3i323−3i320001−1−i32−1+i32-21+i31−i3-21+i31−i34−2−2i3−2+2i3000000000000000000000000000000000
χ576−3−3i3−3+3i3−3−3i3−3+3i36−3+3i36−3−3i36−3−3i3−3+3i3−3−3i3−3+3i36−3+3i36−3−3i3000000000000000000-33+3i323−3i32000000000000000000000000000000
χ58999−9+9i32−9+9i32−9+9i32−9−9i32−9−9i32−9−9i32-3-3-33−3i323−3i323−3i323+3i323+3i323+3i320000000000000000000000000001-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321−i321−i321+i321+i321+i32000000
χ59999−9+9i32−9+9i32−9+9i32−9−9i32−9−9i32−9−9i32-3-3-33−3i323−3i323−3i323+3i323+3i323+3i32000000000000000000000000000-11-1-11−i321−i321−i321+i321+i321+i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000
χ60999−9−9i32−9−9i32−9−9i32−9+9i32−9+9i32−9+9i32-3-3-33+3i323+3i323+3i323−3i323−3i323−3i320000000000000000000000000001-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321+i321+i321−i321−i321−i32000000
χ61999−9−9i32−9−9i32−9−9i32−9+9i32−9+9i32−9+9i32-3-3-33+3i323+3i323+3i323−3i323−3i323−3i32000000000000000000000000000-11-1-11+i321+i321+i321−i321−i321−i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000
χ629−9+9i32−9−9i329−9+9i32−9−9i329−9+9i32−9−9i32-33−3i323+3i32-33−3i323+3i32-33−3i323+3i320000000000000000000000000001-1−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−i321+i32-11−i321+i32-11−i321+i32000000
χ639−9+9i32−9−9i329−9+9i32−9−9i329−9+9i32−9−9i32-33−3i323+3i32-33−3i323+3i32-33−3i323+3i32000000000000000000000000000-111−i321+i32-11−i321+i32-11−i321+i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32000000
χ649−9+9i32−9−9i32−9+9i32−9−9i329−9−9i329−9+9i32-33−3i323+3i323−3i323+3i32-33+3i32-33−3i320000000000000000000000000001-1−1+i32−1−i32−1+i32−1−i321−1−i321−1+i321−i321+i321−i321+i32-11+i32-11−i32000000
χ659−9+9i32−9−9i32−9+9i32−9−9i329−9−9i329−9+9i32-33−3i323+3i323−3i323+3i32-33+3i32-33−3i32000000000000000000000000000-111−i321+i321−i321+i32-11+i32-11−i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32000000
χ669−9−9i32−9+9i329−9−9i32−9+9i329−9−9i32−9+9i32-33+3i323−3i32-33+3i323−3i32-33+3i323−3i320000000000000000000000000001-1−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321+i321−i32-11+i321−i32-11+i321−i32000000
χ679−9−9i32−9+9i329−9−9i32−9+9i329−9−9i32−9+9i32-33+3i323−3i32-33+3i323−3i32-33+3i323−3i32000000000000000000000000000-111+i321−i32-11+i321−i32-11+i321−i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32000000
χ689−9−9i32−9+9i32−9−9i32−9+9i329−9+9i329−9−9i32-33+3i323−3i323+3i323−3i32-33−3i32-33+3i320000000000000000000000000001-1−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321+i321−i321+i321−i32-11−i32-11+i32000000
χ699−9−9i32−9+9i32−9−9i32−9+9i329−9+9i329−9−9i32-33+3i323−3i323+3i323−3i32-33−3i32-33+3i32000000000000000000000000000-111+i321−i321+i321−i32-11−i32-11+i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32000000

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