Finite Group Databasebeta

← Group #14518198

Character table — Group #14518198

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size12222333666666991212121212121818181818181818181818181818242424242424272727727272727272818181108108108108108108
order133332333366666633333333366666666666333333266333333266666666
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1111111-1-1-1-1-1-1-1-1-1
χ31111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111111111−1+i32−1+i32−1+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
χ41111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321+i321+i321+i32
χ51111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111111111−1−i32−1−i32−1−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
χ61111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321−i321−i321−i32
χ7111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ8111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32-11−i321+i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i32-11−i321+i32
χ9111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i321−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i321−1+i32−1−i32−1+i32−1−i321−1−i321−1+i321−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ10111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i321−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32-11−i321+i32−1+i32−1−i321−1−i321−1+i32-11−i321+i321−i321+i32-11+i32-11−i32
χ11111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i3211−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3211−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ12111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321-11−i321+i32−1−i321−1+i32−1+i32−1−i321-11−i321+i321+i32-11−i321−i321+i32-1
χ13111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ14111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i32-11+i321−i32
χ15111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ16111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321-11+i321−i32−1+i321−1−i32−1−i32−1+i321-11+i321−i321−i32-11+i321+i321−i32-1
χ17111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ18111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32-11+i321−i32−1−i32−1+i321−1+i321−1−i32-11+i321−i321+i321−i32-11−i32-11+i32
χ192222222222222222222222-1-1-122-1-1-1-1-1-1-1-1-1222222000-1-1-1-1-1-1000000000
χ202222222222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-122-1-1-1-1-1-1-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i30001−i321−i321−i321+i321+i321+i32000000000
χ212222222222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-122-1-1-1-1-1-1-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i30001+i321+i321+i321−i321−i321−i32000000000
χ22222222−1+i3−1−i3−1+i3−1−i32222−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3-11−i321+i32−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i322−1+i3−1−i32−1+i3−1−i3000-11−i321+i32-11−i321+i32000000000
χ23222222−1+i3−1−i3−1+i3−1−i32222−1+i3−1−i3−1+i3−1−i32−1−i32−1+i3-11−i321+i32−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32−1+i3−1−i32−1−i32−1+i30001−i321+i32-11+i32-11−i32000000000
χ24222222−1+i3−1−i3−1+i3−1−i32222−1+i3−1−i3−1−i32−1+i3−1+i3−1−i32-11−i321+i32−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32−1−i32−1+i3−1+i3−1−i320001+i32-11−i321−i321+i32-1000000000
χ25222222−1−i3−1+i3−1−i3−1+i32222−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3-11+i321−i32−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i322−1−i3−1+i32−1−i3−1+i3000-11+i321−i32-11+i321−i32000000000
χ26222222−1−i3−1+i3−1−i3−1+i32222−1−i3−1+i3−1+i32−1−i3−1−i3−1+i32-11+i321−i32−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32−1+i32−1−i3−1−i3−1+i320001−i32-11+i321+i321−i32-1000000000
χ27222222−1−i3−1+i3−1−i3−1+i32222−1−i3−1+i3−1−i3−1+i32−1+i32−1−i3-11+i321−i32−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32−1−i3−1+i32−1+i32−1−i30001+i321−i32-11−i32-11+i32000000000
χ2833333-13333-1-1-1-1-1-1000000333-1-1-1-1-1-1-1-1-1-1-1000000333000000-1-1-1000000
χ2933333-13333-1-1-1-1-1-1000000333-1-1-1-1-1-1-1-1-1-1-1000000-3-3-3000000111000000
χ3033333-1−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-11−i321+i320000003−3+3i32−3−3i321−i321+i32-1-1-11−i321−i321−i321+i321+i321+i320000003−3+3i32−3−3i32000000-11−i321+i32000000
χ3133333-1−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-11−i321+i320000003−3+3i32−3−3i321−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32000000-33−3i323+3i320000001−1+i32−1−i32000000
χ3233333-1−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-11+i321−i320000003−3−3i32−3+3i321+i321−i32-1-1-11+i321+i321+i321−i321−i321−i320000003−3−3i32−3+3i32000000-11+i321−i32000000
χ3333333-1−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-11+i321−i320000003−3−3i32−3+3i321+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32000000-33+3i323−3i320000001−1−i32−1+i32000000
χ3466666-26666-2-2-2-2-2-2000000-3-3-3-2-2111111111000000000000000000000000
χ3566666-2−3+3i3−3−3i3−3+3i3−3−3i3-2-2-2-21−i31+i3000000-33−3i323+3i321−i31+i3111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000000000000000000
χ3666666-2−3−3i3−3+3i3−3−3i3−3+3i3-2-2-2-21+i31−i3000000-33+3i323−3i321+i31−i3111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000000000000000000
χ3766-3-3-3600006-3-3-3000060600000000000000000-30-30000000000000000000
χ3866-3-3-3600006-3-3-30000−3+3i30−3−3i3000000000000000003−3i3203+3i320000000000000000000
χ3966-3-3-3600006-3-3-30000−3−3i30−3+3i3000000000000000003+3i3203−3i320000000000000000000
χ406-36-3-360000-36-3-300060006000000000000000-3000-3000000000000000000
χ416-36-3-360000-36-3-3000−3+3i3000−3−3i30000000000000003−3i320003+3i32000000000000000000
χ426-36-3-360000-36-3-3000−3−3i3000−3+3i30000000000000003+3i320003−3i32000000000000000000
χ436-3-36-360000-3-36-30060060000000000000000-300-300000000000000000000
χ446-3-36-360000-3-36-300−3+3i300−3−3i300000000000000003−3i32003+3i3200000000000000000000
χ456-3-36-360000-3-36-300−3−3i300−3+3i300000000000000003+3i32003−3i3200000000000000000000
χ466-3-3-36666-3-3-3-3-3666000000000-3-3000000000000000000000000000000000
χ476-3-3-366−3+3i3−3−3i33−3i323+3i32-3-3-36−3+3i3−3−3i30000000003−3i323+3i32000000000000000000000000000000000
χ486-3-3-366−3−3i3−3+3i33+3i323−3i32-3-3-36−3−3i3−3+3i30000000003+3i323−3i32000000000000000000000000000000000
χ496-3-3-36-266-3-3111-2-2-2000000000114-2-24-2-24-2-2000000000000000000000000
χ506-3-3-36-266-3-3111-2-2-200000000011-24-2-24-2-24-2000000000000000000000000
χ516-3-3-36-266-3-3111-2-2-200000000011-2-24-2-24-2-24000000000000000000000000
χ526-3-3-36-2−3+3i3−3−3i33−3i323+3i32111-21−i31+i3000000000−1+i32−1−i324-2-2−2+2i31−i31−i3−2−2i31+i31+i3000000000000000000000000
χ536-3-3-36-2−3+3i3−3−3i33−3i323+3i32111-21−i31+i3000000000−1+i32−1−i32-24-21−i3−2+2i31−i31+i3−2−2i31+i3000000000000000000000000
χ546-3-3-36-2−3+3i3−3−3i33−3i323+3i32111-21−i31+i3000000000−1+i32−1−i32-2-241−i31−i3−2+2i31+i31+i3−2−2i3000000000000000000000000
χ556-3-3-36-2−3−3i3−3+3i33+3i323−3i32111-21+i31−i3000000000−1−i32−1+i324-2-2−2−2i31+i31+i3−2+2i31−i31−i3000000000000000000000000
χ566-3-3-36-2−3−3i3−3+3i33+3i323−3i32111-21+i31−i3000000000−1−i32−1+i32-24-21+i3−2−2i31+i31−i3−2+2i31−i3000000000000000000000000
χ576-3-3-36-2−3−3i3−3+3i33+3i323−3i32111-21+i31−i3000000000−1−i32−1+i32-2-241+i31+i3−2−2i31−i31−i3−2+2i3000000000000000000000000
χ581818-9-9-9-60000-63330000000000000000000000000000000000000000000000
χ5918-918-9-9-600003-6330000000000000000000000000000000000000000000000
χ6018-9-918-9-6000033-630000000000000000000000000000000000000000000000

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