Finite Group Databasebeta

← Group #13180049

Character table — Group #13180049

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size1113333339992424242424242424363636363636363636363636969611133333399924242424242424243636363636363636363636369696
order13322666626633666666244466121212121212332662266662666666666624446612121212121266
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ32222222222222-1222-1-1-1000000000000-1-12222222222222-1222-1-1-1000000000000-1-1
χ4222222222222-12-1-1-1222000000000000-1-1222222222222-12-1-1-1222000000000000-1-1
χ5222222222222-1-1-1-1-1-1-1-10000000000002-1222222222222-1-1-1-1-1-1-1-10000000000002-1
χ6222222222222-1-1-1-1-1-1-1-1000000000000-12222222222222-1-1-1-1-1-1-1-1000000000000-12
χ73333-133-1-1-1-1-103000-1-1-111-1-11111-1-1-1-1003333-133-1-1-1-1-103000-1-1-111-1-11111-1-1-1-100
χ83333-133-1-1-1-1-103000-1-1-1-1-111-1-1-1-11111003333-133-1-1-1-1-103000-1-1-1-1-111-1-1-1-1111100
χ9333-13-1-133-1-1-130-1-1-10001-11-111-1-111-1-100333-13-1-133-1-1-130-1-1-10001-11-111-1-111-1-100
χ10333-13-1-133-1-1-130-1-1-1000-11-11-1-111-1-11100333-13-1-133-1-1-130-1-1-1000-11-11-1-111-1-11100
χ113−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32000000001111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32003−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32000000001111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3200
χ123−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3200000000-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32003−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3200000000-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i3200
χ133−3+3i32−3−3i323-1−3+3i32−3−3i321−i321+i32-11−i321+i32000002−1+i3−1−i311-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32003−3+3i32−3−3i323-1−3+3i32−3−3i321−i321+i32-11−i321+i32000002−1+i3−1−i311-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i3200
χ143−3+3i32−3−3i323-1−3+3i32−3−3i321−i321+i32-11−i321+i32000002−1+i3−1−i3-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32003−3+3i32−3−3i323-1−3+3i32−3−3i321−i321+i32-11−i321+i32000002−1+i3−1−i3-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i3200
χ153−3+3i32−3−3i32-131−i321+i32−3+3i32−3−3i32-11−i321+i32002−1+i3−1−i30001-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32003−3+3i32−3−3i32-131−i321+i32−3+3i32−3−3i32-11−i321+i32002−1+i3−1−i30001-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i3200
χ163−3+3i32−3−3i32-131−i321+i32−3+3i32−3−3i32-11−i321+i32002−1+i3−1−i3000-11-111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32003−3+3i32−3−3i32-131−i321+i32−3+3i32−3−3i32-11−i321+i32002−1+i3−1−i3000-11-111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i3200
χ173−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32000000001111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32003−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32000000001111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3200
χ183−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3200000000-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32003−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3200000000-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3200
χ193−3−3i32−3+3i323-1−3−3i32−3+3i321+i321−i32-11+i321−i32000002−1−i3−1+i311-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32003−3−3i32−3+3i323-1−3−3i32−3+3i321+i321−i32-11+i321−i32000002−1−i3−1+i311-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i3200
χ203−3−3i32−3+3i323-1−3−3i32−3+3i321+i321−i32-11+i321−i32000002−1−i3−1+i3-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32003−3−3i32−3+3i323-1−3−3i32−3+3i321+i321−i32-11+i321−i32000002−1−i3−1+i3-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i3200
χ213−3−3i32−3+3i32-131+i321−i32−3−3i32−3+3i32-11+i321−i32002−1−i3−1+i30001-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32003−3−3i32−3+3i32-131+i321−i32−3−3i32−3+3i32-11+i321−i32002−1−i3−1+i30001-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i3200
χ223−3−3i32−3+3i32-131+i321−i32−3−3i32−3+3i32-11+i321−i32002−1−i3−1+i3000-11-111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32003−3−3i32−3+3i32-131+i321−i32−3−3i32−3+3i32-11+i321−i32002−1−i3−1+i3000-11-111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i3200
χ236666-266-2-2-2-2-20-3000111000000000000006666-266-2-2-2-2-20-300011100000000000000
χ24666-26-2-266-2-2-2-3011100000000000000000666-26-2-266-2-2-2-3011100000000000000000
χ256−3+3i3−3−3i36-2−3+3i3−3−3i31−i31+i3-21−i31+i300000-21−i31+i3000000000000006−3+3i3−3−3i36-2−3+3i3−3−3i31−i31+i3-21−i31+i300000-21−i31+i300000000000000
χ266−3+3i3−3−3i3-261−i31+i3−3+3i3−3−3i3-21−i31+i300-21−i31+i3000000000000000006−3+3i3−3−3i3-261−i31+i3−3+3i3−3−3i3-21−i31+i300-21−i31+i300000000000000000
χ276−3−3i3−3+3i36-2−3−3i3−3+3i31+i31−i3-21+i31−i300000-21+i31−i3000000000000006−3−3i3−3+3i36-2−3−3i3−3+3i31+i31−i3-21+i31−i300000-21+i31−i300000000000000
χ286−3−3i3−3+3i3-261+i31−i3−3−3i3−3+3i3-21+i31−i300-21+i31−i3000000000000000006−3−3i3−3+3i3-261+i31−i3−3−3i3−3+3i3-21+i31−i300-21+i31−i300000000000000000
χ29999-3-3-3-3-3-3111000000001-1-1111-1-1-1-11100999-3-3-3-3-3-3111000000001-1-1111-1-1-1-11100
χ30999-3-3-3-3-3-311100000000-111-1-1-11111-1-100999-3-3-3-3-3-311100000000-111-1-1-11111-1-100
χ319−9+9i32−9−9i32-3-33−3i323+3i323−3i323+3i321−1+i32−1−i32000000001-1-11−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32009−9+9i32−9−9i32-3-33−3i323+3i323−3i323+3i321−1+i32−1−i32000000001-1-11−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i3200
χ329−9+9i32−9−9i32-3-33−3i323+3i323−3i323+3i321−1+i32−1−i3200000000-111-11−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32009−9+9i32−9−9i32-3-33−3i323+3i323−3i323+3i321−1+i32−1−i3200000000-111-11−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i3200
χ339−9−9i32−9+9i32-3-33+3i323−3i323+3i323−3i321−1−i32−1+i32000000001-1-11−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32009−9−9i32−9+9i32-3-33+3i323−3i323+3i323−3i321−1−i32−1+i32000000001-1-11−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i3200
χ349−9−9i32−9+9i32-3-33+3i323−3i323+3i323−3i321−1−i32−1+i3200000000-111-11+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32009−9−9i32−9+9i32-3-33+3i323−3i323+3i323−3i321−1−i32−1+i3200000000-111-11+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i3200
χ351111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ372222222222222-1222-1-1-1000000000000-1-1-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-211100000000000011
χ38222222222222-12-1-1-1222000000000000-1-1-2-2-2-2-2-2-2-2-2-2-2-21-2111-2-2-200000000000011
χ39222222222222-1-1-1-1-1-1-1-10000000000002-1-2-2-2-2-2-2-2-2-2-2-2-211111111000000000000-21
χ40222222222222-1-1-1-1-1-1-1-1000000000000-12-2-2-2-2-2-2-2-2-2-2-2-2111111110000000000001-2
χ413333-133-1-1-1-1-103000-1-1-111-1-11111-1-1-1-100-3-3-3-31-3-3111110-3000111-1-111-1-1-1-1111100
χ423333-133-1-1-1-1-103000-1-1-1-1-111-1-1-1-1111100-3-3-3-31-3-3111110-300011111-1-11111-1-1-1-100
χ43333-13-1-133-1-1-130-1-1-10001-11-111-1-111-1-100-3-3-31-311-3-3111-30111000-11-11-1-111-1-11100
χ44333-13-1-133-1-1-130-1-1-1000-11-11-1-111-1-11100-3-3-31-311-3-3111-301110001-11-111-1-111-1-100
χ453−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32000000001111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3200-33−3i323+3i32-3-33−3i323+3i323−3i323+3i32-33−3i323+3i3200000000-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i3200
χ463−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3200000000-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i3200-33−3i323+3i32-3-33−3i323+3i323−3i323+3i32-33−3i323+3i32000000001111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3200
χ473−3+3i32−3−3i323-1−3+3i32−3−3i321−i321+i32-11−i321+i32000002−1+i3−1−i311-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i3200-33−3i323+3i32-313−3i323+3i32−1+i32−1−i321−1+i32−1−i3200000-21−i31+i3-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i3200
χ483−3+3i32−3−3i323-1−3+3i32−3−3i321−i321+i32-11−i321+i32000002−1+i3−1−i3-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i3200-33−3i323+3i32-313−3i323+3i32−1+i32−1−i321−1+i32−1−i3200000-21−i31+i311-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i3200
χ493−3+3i32−3−3i32-131−i321+i32−3+3i32−3−3i32-11−i321+i32002−1+i3−1−i30001-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i3200-33−3i323+3i321-3−1+i32−1−i323−3i323+3i321−1+i32−1−i3200-21−i31+i3000-11-111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i3200
χ503−3+3i32−3−3i32-131−i321+i32−3+3i32−3−3i32-11−i321+i32002−1+i3−1−i3000-11-111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i3200-33−3i323+3i321-3−1+i32−1−i323−3i323+3i321−1+i32−1−i3200-21−i31+i30001-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i3200
χ513−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32000000001111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3200-33+3i323−3i32-3-33+3i323−3i323+3i323−3i32-33+3i323−3i3200000000-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3200
χ523−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3200000000-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3200-33+3i323−3i32-3-33+3i323−3i323+3i323−3i32-33+3i323−3i32000000001111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3200
χ533−3−3i32−3+3i323-1−3−3i32−3+3i321+i321−i32-11+i321−i32000002−1−i3−1+i311-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i3200-33+3i323−3i32-313+3i323−3i32−1−i32−1+i321−1−i32−1+i3200000-21+i31−i3-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i3200
χ543−3−3i32−3+3i323-1−3−3i32−3+3i321+i321−i32-11+i321−i32000002−1−i3−1+i3-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i3200-33+3i323−3i32-313+3i323−3i32−1−i32−1+i321−1−i32−1+i3200000-21+i31−i311-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i3200
χ553−3−3i32−3+3i32-131+i321−i32−3−3i32−3+3i32-11+i321−i32002−1−i3−1+i30001-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i3200-33+3i323−3i321-3−1−i32−1+i323+3i323−3i321−1−i32−1+i3200-21+i31−i3000-11-111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i3200
χ563−3−3i32−3+3i32-131+i321−i32−3−3i32−3+3i32-11+i321−i32002−1−i3−1+i3000-11-111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i3200-33+3i323−3i321-3−1−i32−1+i323+3i323−3i321−1−i32−1+i3200-21+i31−i30001-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i3200
χ576666-266-2-2-2-2-20-300011100000000000000-6-6-6-62-6-62222203000-1-1-100000000000000
χ58666-26-2-266-2-2-2-3011100000000000000000-6-6-62-622-6-622230-1-1-100000000000000000
χ596−3+3i3−3−3i36-2−3+3i3−3−3i31−i31+i3-21−i31+i300000-21−i31+i300000000000000-63−3i33+3i3-623−3i33+3i3−1+i3−1−i32−1+i3−1−i3000002−1+i3−1−i300000000000000
χ606−3+3i3−3−3i3-261−i31+i3−3+3i3−3−3i3-21−i31+i300-21−i31+i300000000000000000-63−3i33+3i32-6−1+i3−1−i33−3i33+3i32−1+i3−1−i3002−1+i3−1−i300000000000000000
χ616−3−3i3−3+3i36-2−3−3i3−3+3i31+i31−i3-21+i31−i300000-21+i31−i300000000000000-63+3i33−3i3-623+3i33−3i3−1−i3−1+i32−1−i3−1+i3000002−1−i3−1+i300000000000000
χ626−3−3i3−3+3i3-261+i31−i3−3−3i3−3+3i3-21+i31−i300-21+i31−i300000000000000000-63+3i33−3i32-6−1−i3−1+i33+3i33−3i32−1−i3−1+i3002−1−i3−1+i300000000000000000
χ63999-3-3-3-3-3-3111000000001-1-1111-1-1-1-11100-9-9-9333333-1-1-100000000-111-1-1-11111-1-100
χ64999-3-3-3-3-3-311100000000-111-1-1-11111-1-100-9-9-9333333-1-1-1000000001-1-1111-1-1-1-11100
χ659−9+9i32−9−9i32-3-33−3i323+3i323−3i323+3i321−1+i32−1−i32000000001-1-11−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i3200-99−9i329+9i3233−3+3i32−3−3i32−3+3i32−3−3i32-11−i321+i3200000000-111-11−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i3200
χ669−9+9i32−9−9i32-3-33−3i323+3i323−3i323+3i321−1+i32−1−i3200000000-111-11−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i3200-99−9i329+9i3233−3+3i32−3−3i32−3+3i32−3−3i32-11−i321+i32000000001-1-11−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i3200
χ679−9−9i32−9+9i32-3-33+3i323−3i323+3i323−3i321−1−i32−1+i32000000001-1-11−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i3200-99+9i329−9i3233−3−3i32−3+3i32−3−3i32−3+3i32-11+i321−i3200000000-111-11+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i3200
χ689−9−9i32−9+9i32-3-33+3i323−3i323+3i323−3i321−1−i32−1+i3200000000-111-11+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i3200-99+9i329−9i3233−3−3i32−3+3i32−3−3i32−3+3i32-11+i321−i32000000001-1-11−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i3200

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