Finite Group Databasebeta

← Group #11923108

Character table — Group #11923108

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36
size131212122424244848481281312121224242448484812813121212242424484848128
order12444224888336121212661224242433612121266122424243
χ1111111111111111111111111111111111111
χ2111111-1-1-1-1-11111111-1-1-1-1-11111111-1-1-1-1-11
χ322222200000-122222200000-122222200000-1
χ4333-1-1-1111-1-10333-1-1-1111-1-10333-1-1-1111-1-10
χ5333-1-1-1-1-1-1110333-1-1-1-1-1-1110333-1-1-1-1-1-1110
χ633-13-1-111-11-1033-13-1-111-11-1033-13-1-111-11-10
χ733-13-1-1-1-11-11033-13-1-1-1-11-11033-13-1-1-1-11-110
χ833-1-13-111-1-11033-1-13-111-1-11033-1-13-111-1-110
χ933-1-13-1-1-111-1033-1-13-1-1-111-1033-1-13-1-1-111-10
χ1066-2-2-2200000066-2-2-2200000066-2-2-22000000
χ1112-400002-2000012-400002-2000012-400002-20000
χ1212-40000-22000012-40000-22000012-40000-220000
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
χ14111111-1-1-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32
χ1522222200000-1−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3000001−i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3000001+i32
χ16333-1-1-1111-1-10−3+3i32−3+3i32−3+3i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i320−3−3i32−3−3i32−3−3i321+i321+i321+i32−1−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
χ1833-13-1-111-11-10−3+3i32−3+3i321−i32−3+3i321−i321−i32−1+i32−1+i321−i32−1+i321−i320−3−3i32−3−3i321+i32−3−3i321+i321+i32−1−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
χ2033-1-13-111-1-110−3+3i32−3+3i321−i321−i32−3+3i321−i32−1+i32−1+i321−i321−i32−1+i320−3−3i32−3−3i321+i321+i32−3−3i321+i32−1−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
χ2266-2-2-22000000−3+3i3−3+3i31−i31−i31−i3−1+i3000000−3−3i3−3−3i31+i31+i31+i3−1−i3000000
χ2312-400002-20000−6+6i32−2i30000−1+i31−i30000−6−6i32+2i30000−1−i31+i30000
χ2412-40000-220000−6+6i32−2i300001−i3−1+i30000−6−6i32+2i300001+i3−1−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
χ26111111-1-1-1-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32
χ2722222200000-1−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3000001+i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3000001−i32
χ28333-1-1-1111-1-10−3−3i32−3−3i32−3−3i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i320−3+3i32−3+3i32−3+3i321−i321−i321−i32−1+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
χ3033-13-1-111-11-10−3−3i32−3−3i321+i32−3−3i321+i321+i32−1−i32−1−i321+i32−1−i321+i320−3+3i32−3+3i321−i32−3+3i321−i321−i32−1+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
χ3233-1-13-111-1-110−3−3i32−3−3i321+i321+i32−3−3i321+i32−1−i32−1−i321+i321+i32−1−i320−3+3i32−3+3i321−i321−i32−3+3i321−i32−1+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
χ3466-2-2-22000000−3−3i3−3−3i31+i31+i31+i3−1−i3000000−3+3i3−3+3i31−i31−i31−i3−1+i3000000
χ3512-400002-20000−6−6i32+2i30000−1−i31+i30000−6+6i32−2i30000−1+i31−i30000
χ3612-40000-220000−6−6i32+2i300001+i3−1−i30000−6+6i32−2i300001−i3−1+i30000

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