Finite Group Databasebeta

← Group #14518197

Character table — Group #14518197

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size111333333333336669991818181818181818181818181818182727272727272727272727363636363636727272727272108108108108108108
order1332336666666633326633366666666666626666666666333333999999666666
χ11111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111−1+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
χ31111111111111111111111111111111111111111111111−1−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
χ411111111111111111-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ511111111111111111-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32
χ611111111111111111-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32
χ71111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321111−1+i32−1−i321−1+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−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
χ81111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321111−1+i32−1−i321−1+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−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32
χ91111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321111−1+i32−1−i321−1+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−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321
χ101111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i32-1-1-11−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i32
χ111111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i32-1-1-11−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i321−i321+i32-11+i32-11−i32
χ121111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i32-1-1-11−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i3211+i32-11−i321−i321+i32-1
χ131111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321111−1−i32−1+i321−1−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+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
χ141111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321111−1−i32−1+i321−1−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+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321
χ151111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321111−1−i32−1+i321−1−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+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32
χ161111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i32-1-1-11−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i32
χ171111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i32-1-1-11−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i3211−i32-11+i321+i321−i32-1
χ181111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i32-1-1-11−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i321+i321−i32-11−i32-11+i32
χ1922222222222222222000-1-1-1222-1-1-1-1-1-1-1-1-100000000000222222-1-1-1-1-1-1000000
χ2022222222222222222000-1-1-1222-1-1-1-1-1-1-1-1-100000000000−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i321−i321−i321+i321+i321+i32000000
χ2122222222222222222000-1-1-1222-1-1-1-1-1-1-1-1-100000000000−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i321+i321+i321−i321−i321−i32000000
χ222222−1+i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32−1+i3−1−i3000-11−i321+i322−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32000000000002−1+i3−1−i32−1+i3−1−i3-11−i321+i32-11−i321+i32000000
χ232222−1+i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32−1+i3−1−i3000-11−i321+i322−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i3200000000000−1+i3−1−i32−1−i32−1+i31−i321+i32-11+i32-11−i32000000
χ242222−1+i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32−1+i3−1−i3000-11−i321+i322−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i3200000000000−1−i32−1+i3−1+i3−1−i321+i32-11−i321−i321+i32-1000000
χ252222−1−i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32−1−i3−1+i3000-11+i321−i322−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32000000000002−1−i3−1+i32−1−i3−1+i3-11+i321−i32-11+i321−i32000000
χ262222−1−i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32−1−i3−1+i3000-11+i321−i322−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i3200000000000−1+i32−1−i3−1−i3−1+i321−i32-11+i321+i321−i32-1000000
χ272222−1−i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32−1−i3−1+i3000-11+i321−i322−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i3200000000000−1−i3−1+i32−1+i32−1−i31+i321−i32-11−i32-11+i32000000
χ28333-133-1-1-1-1-1-1-1-1333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13-1-1-13-1-1-1000000000000000000
χ29333-133-1-1-1-1-1-1-1-1333-3-3-3333-1-1-1-1-1-1-1-1-1-1-1-1111-3111-3111000000000000000000
χ30333-1−3+3i32−3−3i32-1-11−i321−i321−i321+i321+i321+i323−3+3i32−3−3i323333−3+3i32−3−3i32-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1−3+3i321−i321−i321−i32−3−3i321+i321+i321+i32000000000000000000
χ31333-1−3+3i32−3−3i32-1-11−i321−i321−i321+i321+i321+i323−3+3i32−3−3i32-3-3-33−3+3i32−3−3i32-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i321113−3i32−1+i32−1+i32−1+i323+3i32−1−i32−1−i32−1−i32000000000000000000
χ32333-1−3−3i32−3+3i32-1-11+i321+i321+i321−i321−i321−i323−3−3i32−3+3i323333−3−3i32−3+3i32-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1−3−3i321+i321+i321+i32−3+3i321−i321−i321−i32000000000000000000
χ33333-1−3−3i32−3+3i32-1-11+i321+i321+i321−i321−i321−i323−3−3i32−3+3i32-3-3-33−3−3i32−3+3i32-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i321113+3i32−1−i32−1−i32−1−i323−3i32−1+i32−1+i32−1+i32000000000000000000
χ3466666666666666-3-3-3000000-3-3-300000000000000000000000000000000000000
χ356666−3+3i3−3−3i366−3+3i3−3+3i3−3+3i3−3−3i3−3−3i3−3−3i3-33−3i323+3i32000000-33−3i323+3i3200000000000000000000000000000000000000
χ366666−3−3i3−3+3i366−3−3i3−3−3i3−3−3i3−3+3i3−3+3i3−3+3i3-33+3i323−3i32000000-33+3i323−3i3200000000000000000000000000000000000000
χ37666-266-2-2-2-2-2-2-2-2666000-3-3-3-2-2-211111111100000000000000000000000000000
χ38666-266-2-2-2-2-2-2-2-2-3-3-30000001114-2-24-2-24-2-200000000000000000000000000000
χ39666-266-2-2-2-2-2-2-2-2-3-3-3000000111-24-2-24-2-24-200000000000000000000000000000
χ40666-266-2-2-2-2-2-2-2-2-3-3-3000000111-2-24-2-24-2-2400000000000000000000000000000
χ41666-2−3+3i3−3−3i3-2-21−i31−i31−i31+i31+i31+i36−3+3i3−3−3i3000-33−3i323+3i32-21−i31+i3111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3200000000000000000000000000000
χ42666-2−3+3i3−3−3i3-2-21−i31−i31−i31+i31+i31+i3-33−3i323+3i320000001−1+i32−1−i324-2-2−2+2i31−i31−i3−2−2i31+i31+i300000000000000000000000000000
χ43666-2−3+3i3−3−3i3-2-21−i31−i31−i31+i31+i31+i3-33−3i323+3i320000001−1+i32−1−i32-24-21−i3−2+2i31−i31+i3−2−2i31+i300000000000000000000000000000
χ44666-2−3+3i3−3−3i3-2-21−i31−i31−i31+i31+i31+i3-33−3i323+3i320000001−1+i32−1−i32-2-241−i31−i3−2+2i31+i31+i3−2−2i300000000000000000000000000000
χ45666-2−3−3i3−3+3i3-2-21+i31+i31+i31−i31−i31−i36−3−3i3−3+3i3000-33+3i323−3i32-21+i31−i3111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3200000000000000000000000000000
χ46666-2−3−3i3−3+3i3-2-21+i31+i31+i31−i31−i31−i3-33+3i323−3i320000001−1−i32−1+i324-2-2−2−2i31+i31+i3−2+2i31−i31−i300000000000000000000000000000
χ47666-2−3−3i3−3+3i3-2-21+i31+i31+i31−i31−i31−i3-33+3i323−3i320000001−1−i32−1+i32-24-21+i3−2−2i31+i31−i3−2+2i31−i300000000000000000000000000000
χ48666-2−3−3i3−3+3i3-2-21+i31+i31+i31−i31−i31−i3-33+3i323−3i320000001−1−i32−1+i32-2-241+i31+i3−2−2i31−i31−i3−2+2i300000000000000000000000000000
χ499−9+9i32−9−9i32900−9+9i32−9−9i320000000003−3+3i32−3−3i320000000000000003−3+3i32−3−3i3200000000000000000000000000
χ509−9+9i32−9−9i32900−9+9i32−9−9i32000000000-33−3i323+3i32000000000000000-33−3i323+3i3200000000000000000000000000
χ519−9+9i32−9−9i32-3003−3i323+3i326−3+3i3−3−3i36−3+3i3−3−3i30003−3+3i32−3−3i32000000000000000-11−i321+i3202−1+i3−1−i302−1+i3−1−i3000000000000000000
χ529−9+9i32−9−9i32-3003−3i323+3i326−3+3i3−3−3i36−3+3i3−3−3i3000-33−3i323+3i320000000000000001−1+i32−1−i320-21−i31+i30-21−i31+i3000000000000000000
χ539−9+9i32−9−9i32-3003−3i323+3i32−3+3i3−3−3i36−3−3i36−3+3i30003−3+3i32−3−3i32000000000000000-11−i321+i320−1+i3−1−i320−1−i32−1+i3000000000000000000
χ549−9+9i32−9−9i32-3003−3i323+3i32−3+3i3−3−3i36−3−3i36−3+3i3000-33−3i323+3i320000000000000001−1+i32−1−i3201−i31+i3-201+i3-21−i3000000000000000000
χ559−9+9i32−9−9i32-3003−3i323+3i32−3−3i36−3+3i3−3+3i3−3−3i360003−3+3i32−3−3i32000000000000000-11−i321+i320−1−i32−1+i30−1+i3−1−i32000000000000000000
χ569−9+9i32−9−9i32-3003−3i323+3i32−3−3i36−3+3i3−3+3i3−3−3i36000-33−3i323+3i320000000000000001−1+i32−1−i3201+i3-21−i301−i31+i3-2000000000000000000
χ579−9−9i32−9+9i32900−9−9i32−9+9i320000000003−3−3i32−3+3i320000000000000003−3−3i32−3+3i3200000000000000000000000000
χ589−9−9i32−9+9i32900−9−9i32−9+9i32000000000-33+3i323−3i32000000000000000-33+3i323−3i3200000000000000000000000000
χ599−9−9i32−9+9i32-3003+3i323−3i326−3−3i3−3+3i36−3−3i3−3+3i30003−3−3i32−3+3i32000000000000000-11+i321−i3202−1−i3−1+i302−1−i3−1+i3000000000000000000
χ609−9−9i32−9+9i32-3003+3i323−3i326−3−3i3−3+3i36−3−3i3−3+3i3000-33+3i323−3i320000000000000001−1−i32−1+i320-21+i31−i30-21+i31−i3000000000000000000
χ619−9−9i32−9+9i32-3003+3i323−3i32−3+3i36−3−3i3−3−3i3−3+3i360003−3−3i32−3+3i32000000000000000-11+i321−i320−1+i32−1−i30−1−i3−1+i32000000000000000000
χ629−9−9i32−9+9i32-3003+3i323−3i32−3+3i36−3−3i3−3−3i3−3+3i36000-33+3i323−3i320000000000000001−1−i32−1+i3201−i3-21+i301+i31−i3-2000000000000000000
χ639−9−9i32−9+9i32-3003+3i323−3i32−3−3i3−3+3i36−3+3i36−3−3i30003−3−3i32−3+3i32000000000000000-11+i321−i320−1−i3−1+i320−1+i32−1−i3000000000000000000
χ649−9−9i32−9+9i32-3003+3i323−3i32−3−3i3−3+3i36−3+3i36−3−3i3000-33+3i323−3i320000000000000001−1−i32−1+i3201+i31−i3-201−i3-21+i3000000000000000000

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