Finite Group Databasebeta

← Group #72259999

Character table — Group #72259999

Order 5832.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size12333333333336669999991818181818181818181818181818185454545454545454545454727272727272727272162162162162162162162162162162162162162162162162162162216216216216216216
order13233333333666666666663336666666669999918181818181818181833399999924666666661212121212121212333399
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ3222222222222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1000000000000000000-1-1-1-1-1-1
χ42222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-100000000000000000022-1-1-1-1
χ52222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1000000000000000000-1-12-12-1
χ62222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222000000000000000000-1-1-12-12
χ72222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1222-1-1-1-1-1-1222222222000000000000000000-1-1-1-1-1-1
χ82222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002-122-1-1
χ92222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-12-1-122
χ102222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1222-1-1-1222-1-1-1-1-1-1000000000000000000-1-12-1-12
χ112222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1222-1-1-1-1-1-1222-1-1-1000000000000000000-12-12-1-1
χ122222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1222-1-1-1-1-1-1-1-1-12220000000000000000002-1-1-12-1
χ132222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1222222-1-1-1-1-1-1000000000000000000-1-1-122-1
χ142222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1222-1-1-1222-1-1-10000000000000000002-1-1-1-12
χ152222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1222-1-1-1-1-1-1222000000000000000000-122-1-1-1
χ1633333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i3233333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i320000000000003−3+3i32−3−3i32003−3+3i32−3−3i320000000000000001111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000
χ1733333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i3233333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i320000000000003−3+3i32−3−3i32003−3+3i32−3−3i32000000000000000-1-1-1-11−i321−i321−i321+i321+i321+i32-1-11−i321−i321−i321+i321+i321+i32000000
χ1833333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i3233333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i320000000000003−3−3i32−3+3i32003−3−3i32−3+3i320000000000000001111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000
χ1933333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i3233333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i320000000000003−3−3i32−3+3i32003−3−3i32−3+3i32000000000000000-1-1-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321+i321−i321−i321−i32000000
χ20333−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32000000000000000000000000000000003−3+3i32−3−3i3211−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32000000
χ21333−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32000000000000000000000000000000003−3+3i32−3−3i32-1-11−i321+i32-11−i321+i32-11−i321+i321−i321+i32-11−i321+i32-11−i321+i32000000
χ22333−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i32−3+3i32−3−3i323−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i32000000000000000000000000000003−3+3i32−3−3i3200011−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32000000
χ23333−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i32−3+3i32−3−3i323−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i32000000000000000000000000000003−3+3i32−3−3i32000-1-11−i321+i321−i321+i32-11+i32-11−i321−i321+i321−i321+i32-11+i32-11−i32000000
χ24333−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323000000000000000000000000003−3+3i32−3−3i3200000011−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321000000
χ25333−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323000000000000000000000000003−3+3i32−3−3i32000000-1-11−i321+i321+i32-11−i321−i321+i32-11−i321+i321+i32-11−i321−i321+i32-1000000
χ26333−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32000000000000000000000000000000003−3−3i32−3+3i3211−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32000000
χ27333−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32000000000000000000000000000000003−3−3i32−3+3i32-1-11+i321−i32-11+i321−i32-11+i321−i321+i321−i32-11+i321−i32-11+i321−i32000000
χ28333−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323000000000000000000000000003−3−3i32−3+3i3200000011−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321000000
χ29333−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323000000000000000000000000003−3−3i32−3+3i32000000-1-11+i321−i321−i32-11+i321+i321−i32-11+i321−i321−i32-11+i321+i321−i32-1000000
χ30333−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i32−3−3i32−3+3i323−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i32000000000000000000000000000003−3−3i32−3+3i3200011−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32000000
χ31333−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i32−3−3i32−3+3i323−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i32000000000000000000000000000003−3−3i32−3+3i32000-1-11+i321−i321+i321−i32-11−i32-11+i321+i321−i321+i321−i32-11−i32-11+i32000000
χ3233-133333333-1-1-1-1-1-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-133333-1-1-1-1-1-1-1-1-10000000001-111111111-1-1-1-1-1-1-1-1000000
χ3333-133333333-1-1-1-1-1-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-133333-1-1-1-1-1-1-1-1-1000000000-11-1-1-1-1-1-1-1-111111111000000
χ3433-133−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-1-1-1-11−i321−i321−i321+i321+i321+i32000222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i33−3+3i32−3−3i3200-11−i321+i322−1+i3−1−i32−1+i3−1−i30000000001-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321−i321−i321+i321+i321+i32000000
χ3533-133−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-1-1-1-11−i321−i321−i321+i321+i321+i32000222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i33−3+3i32−3−3i3200-11−i321+i322−1+i3−1−i32−1+i3−1−i3000000000-11-1-11−i321−i321−i321+i321+i321+i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000
χ3633-133−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1-1-1-1-11+i321+i321+i321−i321−i321−i32000222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i33−3−3i32−3+3i3200-11+i321−i322−1−i3−1+i32−1−i3−1+i30000000001-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321+i321+i321−i321−i321−i32000000
χ3733-133−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1-1-1-1-11+i321+i321+i321−i321−i321−i32000222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i33−3−3i32−3+3i3200-11+i321−i322−1−i3−1+i32−1−i3−1+i3000000000-11-1-11+i321+i321+i321−i321−i321−i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000
χ3866666−3+3i3−3+3i3−3+3i3−3−3i3−3−3i3−3−3i366666−3+3i3−3+3i3−3+3i3−3−3i3−3−3i3−3−3i3000000000000-33−3i323+3i3200-33−3i323+3i32000000000000000000000000000000000000000
χ3966666−3−3i3−3−3i3−3−3i3−3+3i3−3+3i3−3+3i366666−3−3i3−3−3i3−3−3i3−3+3i3−3+3i3−3+3i3000000000000-33+3i323−3i3200-33+3i323−3i32000000000000000000000000000000000000000
χ40666−3+3i3−3−3i36−3+3i3−3−3i36−3+3i3−3−3i3−3+3i3−3−3i36−3+3i3−3−3i36−3+3i3−3−3i36−3+3i3−3−3i300000000000000000000000000000000-33−3i323+3i32000000000000000000000000
χ41666−3+3i3−3−3i3−3+3i3−3−3i36−3−3i36−3+3i3−3+3i3−3−3i36−3+3i3−3−3i3−3+3i3−3−3i36−3−3i36−3+3i300000000000000000000000000000-33−3i323+3i32000000000000000000000000000
χ42666−3+3i3−3−3i3−3−3i36−3+3i3−3+3i3−3−3i36−3+3i3−3−3i36−3+3i3−3−3i3−3−3i36−3+3i3−3+3i3−3−3i3600000000000000000000000000-33−3i323+3i32000000000000000000000000000000
χ43666−3−3i3−3+3i36−3−3i3−3+3i36−3−3i3−3+3i3−3−3i3−3+3i36−3−3i3−3+3i36−3−3i3−3+3i36−3−3i3−3+3i300000000000000000000000000000000-33+3i323−3i32000000000000000000000000
χ44666−3−3i3−3+3i3−3+3i36−3−3i3−3−3i3−3+3i36−3−3i3−3+3i36−3−3i3−3+3i3−3+3i36−3−3i3−3−3i3−3+3i3600000000000000000000000000-33+3i323−3i32000000000000000000000000000000
χ45666−3−3i3−3+3i3−3−3i3−3+3i36−3+3i36−3−3i3−3−3i3−3+3i36−3−3i3−3+3i3−3−3i3−3+3i36−3+3i36−3−3i300000000000000000000000000000-33+3i323−3i32000000000000000000000000000
χ4666-266666666-2-2-2-2-2-2-2-2-2-2-2666-2-2-2-2-2-2-2-2-2-3-3-3-3-3111111111000000000000000000000000000000000
χ4766-266666666-2-2-2-2-2-2-2-2-2-2-2-3-3-3111111111666-3-3-2-2-2111111000000000000000000000000000000000
χ4866-266666666-2-2-2-2-2-2-2-2-2-2-2-3-3-3111111111-3-3-36-3111-2-2-2111000000000000000000000000000000000
χ4966-266666666-2-2-2-2-2-2-2-2-2-2-2-3-3-3111111111-3-3-3-36111111-2-2-2000000000000000000000000000000000
χ5066-266−3+3i3−3+3i3−3+3i3−3−3i3−3−3i3−3−3i3-2-2-2-2-21−i31−i31−i31+i31+i31+i3000444−2+2i3−2+2i3−2+2i3−2−2i3−2−2i3−2−2i3-33−3i323+3i32001−1+i32−1−i32-21−i31+i3-21−i31+i3000000000000000000000000000000000
χ5166-266−3+3i3−3+3i3−3+3i3−3−3i3−3−3i3−3−3i3-2-2-2-2-21−i31−i31−i31+i31+i31+i3000-2-2-21−i31−i31−i31+i31+i31+i36−3+3i3−3−3i300-21−i31+i3-21−i31+i3-21−i31+i3000000000000000000000000000000000
χ5266-266−3+3i3−3+3i3−3+3i3−3−3i3−3−3i3−3−3i3-2-2-2-2-21−i31−i31−i31+i31+i31+i3000-2-2-21−i31−i31−i31+i31+i31+i3-33−3i323+3i32001−1+i32−1−i324−2+2i3−2−2i3-21−i31+i3000000000000000000000000000000000
χ5366-266−3+3i3−3+3i3−3+3i3−3−3i3−3−3i3−3−3i3-2-2-2-2-21−i31−i31−i31+i31+i31+i3000-2-2-21−i31−i31−i31+i31+i31+i3-33−3i323+3i32001−1+i32−1−i32-21−i31+i34−2+2i3−2−2i3000000000000000000000000000000000
χ5466-266−3−3i3−3−3i3−3−3i3−3+3i3−3+3i3−3+3i3-2-2-2-2-21+i31+i31+i31−i31−i31−i3000444−2−2i3−2−2i3−2−2i3−2+2i3−2+2i3−2+2i3-33+3i323−3i32001−1−i32−1+i32-21+i31−i3-21+i31−i3000000000000000000000000000000000
χ5566-266−3−3i3−3−3i3−3−3i3−3+3i3−3+3i3−3+3i3-2-2-2-2-21+i31+i31+i31−i31−i31−i3000-2-2-21+i31+i31+i31−i31−i31−i36−3−3i3−3+3i300-21+i31−i3-21+i31−i3-21+i31−i3000000000000000000000000000000000
χ5666-266−3−3i3−3−3i3−3−3i3−3+3i3−3+3i3−3+3i3-2-2-2-2-21+i31+i31+i31−i31−i31−i3000-2-2-21+i31+i31+i31−i31−i31−i3-33+3i323−3i32001−1−i32−1+i324−2−2i3−2+2i3-21+i31−i3000000000000000000000000000000000
χ5766-266−3−3i3−3−3i3−3−3i3−3+3i3−3+3i3−3+3i3-2-2-2-2-21+i31+i31+i31−i31−i31−i3000-2-2-21+i31+i31+i31−i31−i31−i3-33+3i323−3i32001−1−i32−1+i32-21+i31−i34−2−2i3−2+2i3000000000000000000000000000000000
χ5899-3−9+9i32−9−9i329−9+9i32−9−9i329−9+9i32−9−9i323−3i323+3i32-33−3i323+3i32-33−3i323+3i32-33−3i323+3i32000000000000000000000000000000000001-1−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−i321+i32-11−i321+i32-11−i321+i32000000
χ5999-3−9+9i32−9−9i329−9+9i32−9−9i329−9+9i32−9−9i323−3i323+3i32-33−3i323+3i32-33−3i323+3i32-33−3i323+3i3200000000000000000000000000000000000-111−i321+i32-11−i321+i32-11−i321+i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32000000
χ6099-3−9+9i32−9−9i32−9+9i32−9−9i329−9−9i329−9+9i323−3i323+3i32-33−3i323+3i323−3i323+3i32-33+3i32-33−3i32000000000000000000000000000000000001-1−1+i32−1−i32−1+i32−1−i321−1−i321−1+i321−i321+i321−i321+i32-11+i32-11−i32000000
χ6199-3−9+9i32−9−9i32−9+9i32−9−9i329−9−9i329−9+9i323−3i323+3i32-33−3i323+3i323−3i323+3i32-33+3i32-33−3i3200000000000000000000000000000000000-111−i321+i321−i321+i32-11+i32-11−i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32000000
χ6299-3−9+9i32−9−9i32−9−9i329−9+9i32−9+9i32−9−9i3293−3i323+3i32-33−3i323+3i323+3i32-33−3i323−3i323+3i32-3000000000000000000000000000000000001-1−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3211−i321+i321+i32-11−i321−i321+i32-1000000
χ6399-3−9+9i32−9−9i32−9−9i329−9+9i32−9+9i32−9−9i3293−3i323+3i32-33−3i323+3i323+3i32-33−3i323−3i323+3i32-300000000000000000000000000000000000-111−i321+i321+i32-11−i321−i321+i32-1−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321000000
χ6499-3−9−9i32−9+9i329−9−9i32−9+9i329−9−9i32−9+9i323+3i323−3i32-33+3i323−3i32-33+3i323−3i32-33+3i323−3i32000000000000000000000000000000000001-1−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321+i321−i32-11+i321−i32-11+i321−i32000000
χ6599-3−9−9i32−9+9i329−9−9i32−9+9i329−9−9i32−9+9i323+3i323−3i32-33+3i323−3i32-33+3i323−3i32-33+3i323−3i3200000000000000000000000000000000000-111+i321−i32-11+i321−i32-11+i321−i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32000000
χ6699-3−9−9i32−9+9i32−9+9i329−9−9i32−9−9i32−9+9i3293+3i323−3i32-33+3i323−3i323−3i32-33+3i323+3i323−3i32-3000000000000000000000000000000000001-1−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211+i321−i321−i32-11+i321+i321−i32-1000000
χ6799-3−9−9i32−9+9i32−9+9i329−9−9i32−9−9i32−9+9i3293+3i323−3i32-33+3i323−3i323−3i32-33+3i323+3i323−3i32-300000000000000000000000000000000000-111+i321−i321−i32-11+i321+i321−i32-1−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321000000
χ6899-3−9−9i32−9+9i32−9−9i32−9+9i329−9+9i329−9−9i323+3i323−3i32-33+3i323−3i323+3i323−3i32-33−3i32-33+3i32000000000000000000000000000000000001-1−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321+i321−i321+i321−i32-11−i32-11+i32000000
χ6999-3−9−9i32−9+9i32−9−9i32−9+9i329−9+9i329−9−9i323+3i323−3i32-33+3i323−3i323+3i323−3i32-33−3i32-33+3i3200000000000000000000000000000000000-111+i321−i321+i321−i32-11−i32-11+i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32000000
χ7018-9180000000000-9000000006-3-36-3-36-3-36-3-300000000000000000000000000000000000000000000000
χ7118-9180000000000-900000000-36-3-36-3-36-3-36-300000000000000000000000000000000000000000000000
χ7218-9180000000000-900000000-3-36-3-36-3-36-3-3600000000000000000000000000000000000000000000000
χ7318-9-60000000012123-6-60000006-3-36-3-3-633-63300000000000000000000000000000000000000000000000
χ7418-9-60000000012123-6-6000000-36-3-36-33-633-6300000000000000000000000000000000000000000000000
χ7518-9-60000000012123-6-6000000-3-36-3-3633-633-600000000000000000000000000000000000000000000000
χ7618-9-600000000−6+6i3−6−6i333−3i33+3i30000006-3-3-63303i3−3i30−3i33i300000000000000000000000000000000000000000000000
χ7718-9-600000000−6+6i3−6−6i333−3i33+3i3000000-36-33-63−3i303i33i30−3i300000000000000000000000000000000000000000000000
χ7818-9-600000000−6+6i3−6−6i333−3i33+3i3000000-3-3633-63i3−3i30−3i33i3000000000000000000000000000000000000000000000000
χ7918-9-600000000−6−6i3−6+6i333+3i33−3i30000006-3-3-6330−3i33i303i3−3i300000000000000000000000000000000000000000000000
χ8018-9-600000000−6−6i3−6+6i333+3i33−3i3000000-36-33-633i30−3i3−3i303i300000000000000000000000000000000000000000000000
χ8118-9-600000000−6−6i3−6+6i333+3i33−3i3000000-3-3633-6−3i33i303i3−3i3000000000000000000000000000000000000000000000000

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