Finite Group Databasebeta

← Group #72260073

Character table — Group #72260073

Order 5832.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73
size12333333333699999999181818545454545454545454545454545454727272727272727272727272162162162162162162162162162162162162162162162162162162216216216216216
order132333333336666666669993666991818181818181818183333339999992466666666121212121212121233399
χ11111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ322222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-1-1-1-1-1
χ422222222222222222222222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1222222000000000000000000-1-1-1-1-1
χ522222222222222222222222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1000000000000000000-1-1-122
χ622222222222222222222222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000222-1-1
χ722222222222222222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-10000000000000000002-1-1-1-1
χ822222222222222222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1000000000000000000-12-12-1
χ922222222222222222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222000000000000000000-1-12-12
χ1022222222222222222222-1-1-1-1-1-1-12-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1000000000000000000-12-1-12
χ1122222222222222222222-1-1-1-1-1-1-12-1-1-1-1222-1-1-1-1-1-1222222-1-1-1000000000000000000-1-12-1-1
χ1222222222222222222222-1-1-1-1-1-1-12-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12220000000000000000002-1-12-1
χ1322222222222222222222-1-1-1-1-1-1-1-12-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1000000000000000000-1-122-1
χ1422222222222222222222-1-1-1-1-1-1-1-12-1-1-1-1-1-1222-1-1-1222-1-1-1222000000000000000000-12-1-1-1
χ1522222222222222222222-1-1-1-1-1-1-1-12-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-10000000000000000002-1-1-12
χ1633333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i320000000000000000000000000003−3+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−i3200000
χ1733333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i320000000000000000000000000003−3+3i32−3−3i32-1-1-1-11−i321−i321−i321+i321+i321+i32-1-11−i321−i321−i321+i321+i321+i3200000
χ1833333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i320000000000000000000000000003−3−3i32−3+3i321111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3200000
χ1933333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i320000000000000000000000000003−3−3i32−3+3i32-1-1-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321+i321−i321−i321−i3200000
χ20333−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320000000000000000000000003−3+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−i3200000
χ21333−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320000000000000000000000003−3+3i32−3−3i32000-1-11−i321+i32-11−i321+i32-11−i321+i321−i321+i32-11−i321+i32-11−i321+i3200000
χ22333−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i323−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i320000000000000000003−3+3i32−3−3i3200000000011−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i3200000
χ23333−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i323−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i320000000000000000003−3+3i32−3−3i32000000000-1-11−i321+i321−i321+i32-11+i32-11−i321−i321+i321−i321+i32-11+i32-11−i3200000
χ24333−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i3233−3+3i32−3−3i320000003−3+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−i32100000
χ25333−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i3233−3+3i32−3−3i320000003−3+3i32−3−3i32000000000000000000-1-11−i321+i321+i32-11−i321−i321+i32-11−i321+i321+i32-11−i321−i321+i32-100000
χ26333−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000000000000000000000003−3−3i32−3+3i3200011−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3200000
χ27333−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000000000000000000000003−3−3i32−3+3i32000-1-11+i321−i32-11+i321−i32-11+i321−i321+i321−i32-11+i321−i32-11+i321−i3200000
χ28333−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i3233−3−3i32−3+3i320000003−3−3i32−3+3i3200000000000000000011−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i32100000
χ29333−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i3233−3−3i32−3+3i320000003−3−3i32−3+3i32000000000000000000-1-11+i321−i321−i32-11+i321+i321−i32-11+i321−i321−i32-11+i321+i321−i32-100000
χ30333−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i323−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i320000000000000000003−3−3i32−3+3i3200000000011−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i3200000
χ31333−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i323−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i320000000000000000003−3−3i32−3+3i32000000000-1-11+i321−i321+i321−i32-11−i32-11+i321+i321−i321+i321−i32-11−i32-11+i3200000
χ3233-133333333-1-1-1-1-1-1-1-1-13333-1-1-133-1-1-1-1-1-1-1-1-10000000000001-111111111-1-1-1-1-1-1-1-100000
χ3333-133333333-1-1-1-1-1-1-1-1-13333-1-1-133-1-1-1-1-1-1-1-1-1000000000000-11-1-1-1-1-1-1-1-11111111100000
χ3433-1−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323-11−i321+i321+i32-11−i321−i321+i32-13−3+3i32−3−3i3202−1+i3−1−i300-11−i321+i322−1+i3−1−i32−1+i3−1−i30000000000001-1−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3211−i321+i321+i32-11−i321−i321+i32-100000
χ3533-1−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323-11−i321+i321+i32-11−i321−i321+i32-13−3+3i32−3−3i3202−1+i3−1−i300-11−i321+i322−1+i3−1−i32−1+i3−1−i3000000000000-111−i321+i321+i32-11−i321−i321+i32-1−1+i32−1−i32−1−i321−1+i32−1+i32−1−i32100000
χ3633-1−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323-11+i321−i321−i32-11+i321+i321−i32-13−3−3i32−3+3i3202−1−i3−1+i300-11+i321−i322−1−i3−1+i32−1−i3−1+i30000000000001-1−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211+i321−i321−i32-11+i321+i321−i32-100000
χ3733-1−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323-11+i321−i321−i32-11+i321+i321−i32-13−3−3i32−3+3i3202−1−i3−1+i300-11+i321−i322−1−i3−1+i32−1−i3−1+i3000000000000-111+i321−i321−i32-11+i321+i321−i32-1−1−i32−1+i32−1+i321−1−i32−1−i32−1+i32100000
χ3866666−3+3i3−3+3i3−3+3i3−3−3i3−3−3i3−3−3i3666−3+3i3−3+3i3−3+3i3−3−3i3−3−3i3−3−3i3000000000000000000000000000-33−3i323+3i3200000000000000000000000
χ3966666−3−3i3−3−3i3−3−3i3−3+3i3−3+3i3−3+3i3666−3−3i3−3−3i3−3−3i3−3+3i3−3+3i3−3+3i3000000000000000000000000000-33+3i323−3i3200000000000000000000000
χ40666−3+3i3−3−3i36−3+3i3−3−3i36−3+3i3−3−3i36−3+3i3−3−3i36−3+3i3−3−3i36−3+3i3−3−3i3000000000000000000000000-33−3i323+3i3200000000000000000000000000
χ41666−3+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+3i3200000000000000000000000000000000
χ42666−3+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+3i32000000-33−3i323+3i3200000000000000000000000000000000000000000
χ43666−3−3i3−3+3i36−3−3i3−3+3i36−3−3i3−3+3i36−3−3i3−3+3i36−3−3i3−3+3i36−3−3i3−3+3i3000000000000000000000000-33+3i323−3i3200000000000000000000000000
χ44666−3−3i3−3+3i3−3+3i36−3−3i3−3−3i3−3+3i366−3−3i3−3+3i3−3+3i36−3−3i3−3−3i3−3+3i36-33+3i323−3i32000000-33+3i323−3i3200000000000000000000000000000000000000000
χ45666−3−3i3−3+3i3−3−3i3−3+3i36−3+3i36−3−3i36−3−3i3−3+3i3−3−3i3−3+3i36−3+3i36−3−3i3000000000000000000-33+3i323−3i3200000000000000000000000000000000
χ4666-266666666-2-2-2-2-2-2-2-2-2666-3111-3-3-2-2-211111100000000000000000000000000000000000
χ4766-266666666-2-2-2-2-2-2-2-2-2-3-3-36-2-2-2-3-311111111100000000000000000000000000000000000
χ4866-266666666-2-2-2-2-2-2-2-2-2-3-3-3-31116-3111-2-2-211100000000000000000000000000000000000
χ4966-266666666-2-2-2-2-2-2-2-2-2-3-3-3-3111-36111111-2-2-200000000000000000000000000000000000
χ5066-2−3+3i3−3−3i3−3−3i36−3+3i3−3+3i3−3−3i36-21−i31+i31+i3-21−i31−i31+i3-26−3+3i3−3−3i30-21−i31+i300-21−i31+i3-21−i31+i3-21−i31+i300000000000000000000000000000000000
χ5166-2−3+3i3−3−3i3−3−3i36−3+3i3−3+3i3−3−3i36-21−i31+i31+i3-21−i31−i31+i3-2-33−3i323+3i3204−2+2i3−2−2i3001−1+i32−1−i32-21−i31+i3-21−i31+i300000000000000000000000000000000000
χ5266-2−3+3i3−3−3i3−3−3i36−3+3i3−3+3i3−3−3i36-21−i31+i31+i3-21−i31−i31+i3-2-33−3i323+3i320-21−i31+i3001−1+i32−1−i324−2+2i3−2−2i3-21−i31+i300000000000000000000000000000000000
χ5366-2−3+3i3−3−3i3−3−3i36−3+3i3−3+3i3−3−3i36-21−i31+i31+i3-21−i31−i31+i3-2-33−3i323+3i320-21−i31+i3001−1+i32−1−i32-21−i31+i34−2+2i3−2−2i300000000000000000000000000000000000
χ5466-2−3−3i3−3+3i3−3+3i36−3−3i3−3−3i3−3+3i36-21+i31−i31−i3-21+i31+i31−i3-26−3−3i3−3+3i30-21+i31−i300-21+i31−i3-21+i31−i3-21+i31−i300000000000000000000000000000000000
χ5566-2−3−3i3−3+3i3−3+3i36−3−3i3−3−3i3−3+3i36-21+i31−i31−i3-21+i31+i31−i3-2-33+3i323−3i3204−2−2i3−2+2i3001−1−i32−1+i32-21+i31−i3-21+i31−i300000000000000000000000000000000000
χ5666-2−3−3i3−3+3i3−3+3i36−3−3i3−3−3i3−3+3i36-21+i31−i31−i3-21+i31+i31−i3-2-33+3i323−3i320-21+i31−i3001−1−i32−1+i324−2−2i3−2+2i3-21+i31−i300000000000000000000000000000000000
χ5766-2−3−3i3−3+3i3−3+3i36−3−3i3−3−3i3−3+3i36-21+i31−i31−i3-21+i31+i31−i3-2-33+3i323−3i320-21+i31−i3001−1−i32−1+i32-21+i31−i34−2−2i3−2+2i300000000000000000000000000000000000
χ5899-399−9+9i32−9+9i32−9+9i32−9−9i32−9−9i32−9−9i32-3-3-33−3i323−3i323−3i323+3i323+3i323+3i320000000000000000000000000000001-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321−i321−i321+i321+i321+i3200000
χ5999-399−9+9i32−9+9i32−9+9i32−9−9i32−9−9i32−9−9i32-3-3-33−3i323−3i323−3i323+3i323+3i323+3i32000000000000000000000000000000-11-1-11−i321−i321−i321+i321+i321+i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3200000
χ6099-399−9−9i32−9−9i32−9−9i32−9+9i32−9+9i32−9+9i32-3-3-33+3i323+3i323+3i323−3i323−3i323−3i320000000000000000000000000000001-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321+i321+i321−i321−i321−i3200000
χ6199-399−9−9i32−9−9i32−9−9i32−9+9i32−9+9i32−9+9i32-3-3-33+3i323+3i323+3i323−3i323−3i323−3i32000000000000000000000000000000-11-1-11+i321+i321+i321−i321−i321−i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3200000
χ6299-3−9+9i32−9−9i329−9+9i32−9−9i329−9+9i32−9−9i32-33−3i323+3i32-33−3i323+3i32-33−3i323+3i320000000000000000000000000000001-1−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−i321+i32-11−i321+i32-11−i321+i3200000
χ6399-3−9+9i32−9−9i329−9+9i32−9−9i329−9+9i32−9−9i32-33−3i323+3i32-33−3i323+3i32-33−3i323+3i32000000000000000000000000000000-111−i321+i32-11−i321+i32-11−i321+i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3200000
χ6499-3−9+9i32−9−9i32−9+9i32−9−9i329−9−9i329−9+9i32-33−3i323+3i323−3i323+3i32-33+3i32-33−3i320000000000000000000000000000001-1−1+i32−1−i32−1+i32−1−i321−1−i321−1+i321−i321+i321−i321+i32-11+i32-11−i3200000
χ6599-3−9+9i32−9−9i32−9+9i32−9−9i329−9−9i329−9+9i32-33−3i323+3i323−3i323+3i32-33+3i32-33−3i32000000000000000000000000000000-111−i321+i321−i321+i32-11+i32-11−i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i3200000
χ6699-3−9−9i32−9+9i329−9−9i32−9+9i329−9−9i32−9+9i32-33+3i323−3i32-33+3i323−3i32-33+3i323−3i320000000000000000000000000000001-1−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321+i321−i32-11+i321−i32-11+i321−i3200000
χ6799-3−9−9i32−9+9i329−9−9i32−9+9i329−9−9i32−9+9i32-33+3i323−3i32-33+3i323−3i32-33+3i323−3i32000000000000000000000000000000-111+i321−i32-11+i321−i32-11+i321−i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3200000
χ6899-3−9−9i32−9+9i32−9−9i32−9+9i329−9+9i329−9−9i32-33+3i323−3i323+3i323−3i32-33−3i32-33+3i320000000000000000000000000000001-1−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321+i321−i321+i321−i32-11−i32-11+i3200000
χ6999-3−9−9i32−9+9i32−9−9i32−9+9i329−9+9i329−9−9i32-33+3i323−3i323+3i323−3i32-33−3i32-33+3i32000000000000000000000000000000-111+i321−i321+i321−i32-11−i32-11+i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i3200000
χ7018-91800000000-9000000000000000000000000000006-3-300000000000000000000000000000
χ7118-91800000000-900000000000000000000000000000-36-300000000000000000000000000000
χ7218-91800000000-900000000000000000000000000000-3-3600000000000000000000000000000
χ7354-27-180000000090000000000000000000000000000000000000000000000000000000000000

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