Finite Group Databasebeta

← Group #72277643

Character table — Group #72277643

Order 2916.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1112226666666666661818181827272727272736363636363636363636363636363636545454545454545454545454818181162162162162162162162
order133333333333333333333322666633333333333333336666666666662666666666
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-11-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ52222222222222222222-1-1-10200222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002-1-1-1
χ62222222222222222222-1-1-10-200-2-22222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2111
χ7222222222222222222-12-1-1020022-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000-12-1-1
χ8222222222222222222-12-1-10-200-2-2-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000001-211
χ9222222222222222222-1-12-1020022-1-1-1-1-1-1-1-12222-1-1-1-1000000000000000000-1-12-1
χ10222222222222222222-1-12-10-200-2-2-1-1-1-1-1-1-1-12222-1-1-1-100000000000000000011-21
χ11222222222222222222-1-1-12020022-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000000-1-1-12
χ12222222222222222222-1-1-120-200-2-2-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000000111-2
χ13222222222-1-1-1-1-1-1-1-1-122222022002-1-1-12-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-10000000000
χ14222222222-1-1-1-1-1-1-1-1-12222-20-2-2002-1-1-12-1-1-12-1-1-12-1-1-1-2-2-21111111110000000000
χ15222222-1-1-1222-1-1-1-1-1-12222202200-12-1-1-12-1-1-12-1-1-12-1-1-1-1-1222-1-1-1-1-1-10000000000
χ16222222-1-1-1222-1-1-1-1-1-12222-20-2-200-12-1-1-12-1-1-12-1-1-12-1-1111-2-2-21111110000000000
χ17222222-1-1-1-1-1-1222-1-1-12222202200-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-1-1-1222-1-1-10000000000
χ18222222-1-1-1-1-1-1222-1-1-12222-20-2-200-1-12-1-1-12-1-1-12-1-1-12-1111111-2-2-21110000000000
χ19222222-1-1-1-1-1-1-1-1-12222222202200-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-1-1-1-1-12220000000000
χ20222222-1-1-1-1-1-1-1-1-12222222-20-2-200-1-1-12-1-1-12-1-1-12-1-1-12111111111-2-2-20000000000
χ213−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32000013−1+i32−1−i32−3+3i32−3−3i3200000000000000001−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i320000
χ223−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i3200001-3−1+i32−1−i323−3i323+3i3200000000000000001−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i320000
χ233−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320000-131−i321+i32−3+3i32−3−3i320000000000000000-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i320000
χ243−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320000-1-31−i321+i323−3i323+3i320000000000000000-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i320000
χ253−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32000013−1−i32−1+i32−3−3i32−3+3i3200000000000000001−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i320000
χ263−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i3200001-3−1−i32−1+i323+3i323−3i3200000000000000001−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i320000
χ273−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000-131+i321−i32−3−3i32−3+3i320000000000000000-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i320000
χ283−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000-1-31+i321−i323+3i323−3i320000000000000000-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i320000
χ29444444444-2-2-2-2-2-2-2-2-24-2-2-20000004-2-2-2-2111-2111-21110000000000000000000000
χ30444444444-2-2-2-2-2-2-2-2-2-24-2-2000000-21114-2-2-2-2111-21110000000000000000000000
χ31444444444-2-2-2-2-2-2-2-2-2-2-24-2000000-2111-21114-2-2-2-21110000000000000000000000
χ32444444444-2-2-2-2-2-2-2-2-2-2-2-24000000-2111-2111-21114-2-2-20000000000000000000000
χ33444444-2-2-2444-2-2-2-2-2-24-2-2-2000000-24-2-21-2111-2111-2110000000000000000000000
χ34444444-2-2-2444-2-2-2-2-2-2-24-2-20000001-211-24-2-21-2111-2110000000000000000000000
χ35444444-2-2-2444-2-2-2-2-2-2-2-24-20000001-2111-211-24-2-21-2110000000000000000000000
χ36444444-2-2-2444-2-2-2-2-2-2-2-2-240000001-2111-2111-211-24-2-20000000000000000000000
χ37444444-2-2-2-2-2-2444-2-2-24-2-2-2000000-2-24-211-2111-2111-210000000000000000000000
χ38444444-2-2-2-2-2-2444-2-2-2-24-2-200000011-21-2-24-211-2111-210000000000000000000000
χ39444444-2-2-2-2-2-2444-2-2-2-2-24-200000011-2111-21-2-24-211-210000000000000000000000
χ40444444-2-2-2-2-2-2444-2-2-2-2-2-2400000011-2111-2111-21-2-24-20000000000000000000000
χ41444444-2-2-2-2-2-2-2-2-24444-2-2-2000000-2-2-24111-2111-2111-20000000000000000000000
χ42444444-2-2-2-2-2-2-2-2-2444-24-2-2000000111-2-2-2-24111-2111-20000000000000000000000
χ43444444-2-2-2-2-2-2-2-2-2444-2-24-2000000111-2111-2-2-2-24111-20000000000000000000000
χ44444444-2-2-2-2-2-2-2-2-2444-2-2-24000000111-2111-2111-2-2-2-240000000000000000000000
χ456−3+3i3−3−3i36−3+3i3−3−3i36−3+3i3−3−3i3-33−3i323+3i32-33−3i323+3i32-33−3i323+3i32000020−1+i3−1−i30000000000000000002−1+i3−1−i3-11−i321+i32-11−i321+i32-11−i321+i320000000000
χ466−3+3i3−3−3i36−3+3i3−3−3i36−3+3i3−3−3i3-33−3i323+3i32-33−3i323+3i32-33−3i323+3i320000-201−i31+i3000000000000000000-21−i31+i31−1+i32−1−i321−1+i32−1−i321−1+i32−1−i320000000000
χ476−3+3i3−3−3i36−3+3i3−3−3i3-33−3i323+3i326−3+3i3−3−3i3-33−3i323+3i32-33−3i323+3i32000020−1+i3−1−i3000000000000000000-11−i321+i322−1+i3−1−i3-11−i321+i32-11−i321+i320000000000
χ486−3+3i3−3−3i36−3+3i3−3−3i3-33−3i323+3i326−3+3i3−3−3i3-33−3i323+3i32-33−3i323+3i320000-201−i31+i30000000000000000001−1+i32−1−i32-21−i31+i31−1+i32−1−i321−1+i32−1−i320000000000
χ496−3+3i3−3−3i36−3+3i3−3−3i3-33−3i323+3i32-33−3i323+3i326−3+3i3−3−3i3-33−3i323+3i32000020−1+i3−1−i3000000000000000000-11−i321+i32-11−i321+i322−1+i3−1−i3-11−i321+i320000000000
χ506−3+3i3−3−3i36−3+3i3−3−3i3-33−3i323+3i32-33−3i323+3i326−3+3i3−3−3i3-33−3i323+3i320000-201−i31+i30000000000000000001−1+i32−1−i321−1+i32−1−i32-21−i31+i31−1+i32−1−i320000000000
χ516−3+3i3−3−3i36−3+3i3−3−3i3-33−3i323+3i32-33−3i323+3i32-33−3i323+3i326−3+3i3−3−3i3000020−1+i3−1−i3000000000000000000-11−i321+i32-11−i321+i32-11−i321+i322−1+i3−1−i30000000000
χ526−3+3i3−3−3i36−3+3i3−3−3i3-33−3i323+3i32-33−3i323+3i32-33−3i323+3i326−3+3i3−3−3i30000-201−i31+i30000000000000000001−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-21−i31+i30000000000
χ536−3−3i3−3+3i36−3−3i3−3+3i36−3−3i3−3+3i3-33+3i323−3i32-33+3i323−3i32-33+3i323−3i32000020−1−i3−1+i30000000000000000002−1−i3−1+i3-11+i321−i32-11+i321−i32-11+i321−i320000000000
χ546−3−3i3−3+3i36−3−3i3−3+3i36−3−3i3−3+3i3-33+3i323−3i32-33+3i323−3i32-33+3i323−3i320000-201+i31−i3000000000000000000-21+i31−i31−1−i32−1+i321−1−i32−1+i321−1−i32−1+i320000000000
χ556−3−3i3−3+3i36−3−3i3−3+3i3-33+3i323−3i326−3−3i3−3+3i3-33+3i323−3i32-33+3i323−3i32000020−1−i3−1+i3000000000000000000-11+i321−i322−1−i3−1+i3-11+i321−i32-11+i321−i320000000000
χ566−3−3i3−3+3i36−3−3i3−3+3i3-33+3i323−3i326−3−3i3−3+3i3-33+3i323−3i32-33+3i323−3i320000-201+i31−i30000000000000000001−1−i32−1+i32-21+i31−i31−1−i32−1+i321−1−i32−1+i320000000000
χ576−3−3i3−3+3i36−3−3i3−3+3i3-33+3i323−3i32-33+3i323−3i326−3−3i3−3+3i3-33+3i323−3i32000020−1−i3−1+i3000000000000000000-11+i321−i32-11+i321−i322−1−i3−1+i3-11+i321−i320000000000
χ586−3−3i3−3+3i36−3−3i3−3+3i3-33+3i323−3i32-33+3i323−3i326−3−3i3−3+3i3-33+3i323−3i320000-201+i31−i30000000000000000001−1−i32−1+i321−1−i32−1+i32-21+i31−i31−1−i32−1+i320000000000
χ596−3−3i3−3+3i36−3−3i3−3+3i3-33+3i323−3i32-33+3i323−3i32-33+3i323−3i326−3−3i3−3+3i3000020−1−i3−1+i3000000000000000000-11+i321−i32-11+i321−i32-11+i321−i322−1−i3−1+i30000000000
χ606−3−3i3−3+3i36−3−3i3−3+3i3-33+3i323−3i32-33+3i323−3i32-33+3i323−3i326−3−3i3−3+3i30000-201+i31−i30000000000000000001−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-21+i31−i30000000000
χ61181818-9-9-900000000000000000000000000000000000000000000000000222-1-1-10000
χ62181818-9-9-900000000000000000000000000000000000000000000000000-2-2-21110000
χ6318−9+9i3−9−9i3-99−9i329+9i32000000000000000000000000000000000000000000000000002−1+i3−1−i3-11−i321+i320000
χ6418−9+9i3−9−9i3-99−9i329+9i3200000000000000000000000000000000000000000000000000-21−i31+i31−1+i32−1−i320000
χ6518−9−9i3−9+9i3-99+9i329−9i32000000000000000000000000000000000000000000000000002−1−i3−1+i3-11+i321−i320000
χ6618−9−9i3−9+9i3-99+9i329−9i3200000000000000000000000000000000000000000000000000-21+i31−i31−1−i32−1+i320000

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