Finite Group Databasebeta

← Group #11923107

Character table — Group #11923107

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36
size131212122424244848481281312121224242448484812813121212242424484848128
order122242444483366612612121212243366612612121212243
χ1111111111111111111111111111111111111
χ211111-11-1-1-1-1111111-11-1-1-1-1111111-11-1-1-1-11
χ322222020000-122222020000-122222020000-1
χ4333-1-11-111-1-10333-1-11-111-1-10333-1-11-111-1-10
χ5333-1-1-1-1-1-1110333-1-1-1-1-1-1110333-1-1-1-1-1-1110
χ633-13-11-11-11-1033-13-11-11-11-1033-13-11-11-11-10
χ733-13-1-1-1-11-11033-13-1-1-1-11-11033-13-1-1-1-11-110
χ833-1-131-11-1-11033-1-131-11-1-11033-1-131-11-1-110
χ933-1-13-1-1-111-1033-1-13-1-1-111-1033-1-13-1-1-111-10
χ1066-2-2-2020000066-2-2-2020000066-2-2-20200000
χ1112-400020-2000012-400020-2000012-400020-20000
χ1212-4000-202000012-4000-202000012-4000-2020000
χ13111111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ1411111-11-1-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32
χ1522222020000-1−1+i3−1+i3−1+i3−1+i3−1+i30−1+i300001−i32−1−i3−1−i3−1−i3−1−i3−1−i30−1−i300001+i32
χ16333-1-11-111-1-10−3+3i32−3+3i32−3+3i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i320−3−3i32−3−3i32−3−3i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i320
χ17333-1-1-1-1-1-1110−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i32−1+i32−1+i320−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i32−1−i32−1−i320
χ1833-13-11-11-11-10−3+3i32−3+3i321−i32−3+3i321−i32−1+i321−i32−1+i321−i32−1+i321−i320−3−3i32−3−3i321+i32−3−3i321+i32−1−i321+i32−1−i321+i32−1−i321+i320
χ1933-13-1-1-1-11-110−3+3i32−3+3i321−i32−3+3i321−i321−i321−i321−i32−1+i321−i32−1+i320−3−3i32−3−3i321+i32−3−3i321+i321+i321+i321+i32−1−i321+i32−1−i320
χ2033-1-131-11-1-110−3+3i32−3+3i321−i321−i32−3+3i32−1+i321−i32−1+i321−i321−i32−1+i320−3−3i32−3−3i321+i321+i32−3−3i32−1−i321+i32−1−i321+i321+i32−1−i320
χ2133-1-13-1-1-111-10−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i32−1+i32−1+i321−i320−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i32−1−i32−1−i321+i320
χ2266-2-2-20200000−3+3i3−3+3i31−i31−i31−i30−1+i300000−3−3i3−3−3i31+i31+i31+i30−1−i300000
χ2312-400020-20000−6+6i32−2i3000−1+i301−i30000−6−6i32+2i3000−1−i301+i30000
χ2412-4000-2020000−6+6i32−2i30001−i30−1+i30000−6−6i32+2i30001+i30−1−i30000
χ25111111111111−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ2611111-11-1-1-1-11−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32
χ2722222020000-1−1−i3−1−i3−1−i3−1−i3−1−i30−1−i300001+i32−1+i3−1+i3−1+i3−1+i3−1+i30−1+i300001−i32
χ28333-1-11-111-1-10−3−3i32−3−3i32−3−3i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i320−3+3i32−3+3i32−3+3i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i320
χ29333-1-1-1-1-1-1110−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i32−1−i32−1−i320−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i32−1+i32−1+i320
χ3033-13-11-11-11-10−3−3i32−3−3i321+i32−3−3i321+i32−1−i321+i32−1−i321+i32−1−i321+i320−3+3i32−3+3i321−i32−3+3i321−i32−1+i321−i32−1+i321−i32−1+i321−i320
χ3133-13-1-1-1-11-110−3−3i32−3−3i321+i32−3−3i321+i321+i321+i321+i32−1−i321+i32−1−i320−3+3i32−3+3i321−i32−3+3i321−i321−i321−i321−i32−1+i321−i32−1+i320
χ3233-1-131-11-1-110−3−3i32−3−3i321+i321+i32−3−3i32−1−i321+i32−1−i321+i321+i32−1−i320−3+3i32−3+3i321−i321−i32−3+3i32−1+i321−i32−1+i321−i321−i32−1+i320
χ3333-1-13-1-1-111-10−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i32−1−i32−1−i321+i320−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i32−1+i32−1+i321−i320
χ3466-2-2-20200000−3−3i3−3−3i31+i31+i31+i30−1−i300000−3+3i3−3+3i31−i31−i31−i30−1+i300000
χ3512-400020-20000−6−6i32+2i3000−1−i301+i30000−6+6i32−2i3000−1+i301−i30000
χ3612-4000-2020000−6−6i32+2i30001+i30−1−i30000−6+6i32−2i30001−i30−1+i30000

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